diff --git "a/data/dm_maths/full_data/10670_11255.jsonl" "b/data/dm_maths/full_data/10670_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10670_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Find the second derivative of -95477*h**2 - 942*h + 93915*h**2 - 72*h wrt h.\nAnswer: -3124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 3*y - 5*n, 7 = 4*y - n + 2*n. Let o be (72\/(-30))\/(9\/(-2850)). Suppose -5*w + o = y*w. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -11682468*j. Let d(k) = 5*k. Determine f(d(r)).\nAnswer: -58412340*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c**2 + 170*c - 84*c - 86*c.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2622 + 6236. What is the thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24 - -21502?\nAnswer: 21530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2322204 (base 5) in base 6?\nAnswer: -523135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -480, 8, -3.\nAnswer: -480, -3, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 13666, 32, -1, -13 in ascending order.\nAnswer: -13, -4, -1, 32, 13666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000074177 to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**2 + 2940*b - 5892 = 0. Calculate b.\nAnswer: -982, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**3 + 37237*n - 74659*n + 37422*n - n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4 = -3*l, -5*g = 2*l + 1 - 4. Let b = -579\/11 + 90925\/1727. Let r = 777\/628 + b. Is g greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, h: 5, a: 2, f: 9}. What is prob of picking 1 b and 1 f?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -141700000 to the nearest 1000000.\nAnswer: -142000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 908 or 1367?\nAnswer: 908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i**3 - 9*i**3 + 0*i**2 + 0*i**2.\nAnswer: -16*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58, -4, -2, 1 in ascending order.\nAnswer: -4, -2, 1, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 4*t + 31. Determine g(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -274\/67 - -12246\/2077. Is 3 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*c, 3*u - 106 = -5*c + 382. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 14 = 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 4*j**2 + 5*j + 1. Suppose -1 = -4*w - 2*m + 9, -4*w - 5*m + 13 = 0. Let y be (w\/(-2))\/(3\/9). Let a be -5*(-4 + (0 - y)). Give c(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 11 = -3. Let u = 56.1 + -53. Let c = u + -3. What is the second biggest value in -6, y, c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**3 + 17*w**2 - 62*w - 3. Let t be f(7). Let l(j) = 7*j**3 + j - 3. Let d be l(3). Let m = d - t. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h*j**2*n - 77*h*j*n*s**3 - 5*h*j - 17*j**3*n*s**3 - j**3*n - j**3*s**2 - 2*j**2*n*s**2 - n*s**3 - 8*n*s**2 wrt s.\nAnswer: -462*h*j*n - 102*j**3*n - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 4*l - 1 + 5 - 5 + l - 2*l - 2 + 2 - l + 0*l + 3*l + 1 - 1 + 2*l + (-l - 3*l + 6*l)*(-2 + 3 + 1) - 238 + 238 + 9*l.\nAnswer: 20*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 7*(-25)\/(-35).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -155, -241, -343, -467, -619, -805?\nAnswer: -1031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/214 + -431\/642. Let d = 1062 - 1070. What is the closest to j in -4, -1, d, -1\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 478785.\nAnswer: 3, 5, 59, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - 3 - (-23 - (-20 - -9)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) -0.5 (b) -0.802 (c) 2 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 60032 or -2\/9?\nAnswer: 60032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 3*m + 4. Suppose -2*k = 3*k - 15. Let x be c(k). Let o(t) = 5*t + 1 - 2*t - 4*t. Give o(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((2 + sqrt(243) + sqrt(243))**2 - sqrt(243))*-1*-3*-6.\nAnswer: 5670*sqrt(3) + 87840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15858 is divided by 7883.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -11520 and -11510 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 4)*225\/(-60). Let b = 14 + y. Put -27, b, 4 in ascending order.\nAnswer: -27, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1068447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4935?\nAnswer: 3, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 18 = -0*p. Let d(q) = -q**2 - 8*q - 8. Let s be d(p). Suppose z + s*j = 228, 4*j = 2*z - 243 - 249. Round z to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/46690 and 111\/920?\nAnswer: 186760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 1 (c) 656 (d) 1.1 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 291160 divided by -215.\nAnswer: -58232\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11102123 + 3?\nAnswer: 11102132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o. Let d(z) = 5*z + 1. Let g(c) = d(c) - 4*m(c). Let r(n) = -1 + 6*n - 1 + 6. Calculate 5*g(y) - r(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -8*y + 6. Suppose -61 = -193*b - 640. Give w(b).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 15.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1837 is divided by 92.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7}. What is prob of sequence hh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 286692 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31.2 - 27. Let k = -0.8 - n. Which is the smallest value? (a) -4 (b) k (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-4))\/(4\/(-40)). Let y = 1968 + -1967.7. Which is the nearest to r? (a) -0.2 (b) y (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-275)\/(-187))\/25*425?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -9*x**2 - 3*x. Let z(f) = 34*f**2 - 16*f - 8. Let u(h) = 114*h**2 - 54*h - 27. Let v(s) = -8*u(s) + 27*z(s). Determine n(v(a)).\nAnswer: -324*a**4 - 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 246*v + 1323. Calculate c(-5).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 37792a9 + 2?\nAnswer: 37792ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - (-1)\/5)\/((-2)\/5). Suppose -6 - 18 = -s*y. Suppose -q + 3*m = -60, 0 = q + m + m - 60. What is the highest common divisor of y and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 0*d**2 + 30*d + d**2 + 0*d**2 - 34*d - 25. What is the units digit of n(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 558, 558, 550, 528, 486, 418, 318, 180?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33020 + -21?\nAnswer: -33041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17147052?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 695640*a*o**5 + 445787*a*o**2 wrt o.\nAnswer: 41738400*a*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 + -3. Let x = d - -15. Let u = 19 + x. What is the nearest to u in 6, -2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-398)\/199*(4\/(-2))\/20\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49186366637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -797 and -795 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 298, 2337, 7842, 18541, 36162, 62433, 99082, 147837?\n\"Answer: 288*g**3 + 5*g**2 + 8*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -232 by 232.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 28\/(-8))*(327 + (-10512)\/144).\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -105\/88 and -89\/48?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 64\/10 + 4\/(-10). Suppose 3*x + q = 5*x. Suppose 18*d - 11*d**2 + 9*d**3 - x - 4*d**4 - 5*d**4 - 25*d**2 + 21*d**3 = 0. What is d?\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s + 13*s - 2*j - 1 = 0, -5*s + j + 14 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-6))\/((-7)\/21). Suppose 0 = -4*c - 3*w - 1, -h*w + 2 = 3*c + c. Solve -d = -3*d - 6, 5*d + 21 = c*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 542799782?\nAnswer: 2, 7, 277, 139969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -2555048.55 to the nearest 10000.\nAnswer: -2560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a - 28. Let j be o(15). Sort -1, j, -4, -5.\nAnswer: -5, -4, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 5*p**2 + p - 6. Let b(q) = 3*q**3 + 16*q**2 + 4*q - 19. Let m(w) = -2*b(w) + 7*r(w). Let c be 3*-1*(-4)\/(-3). Let t = -7 - c. Determine m(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(475)*-5 - sqrt(475))**2.\nAnswer: 273600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1352 divide 147887879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 519540 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 29 - 115 - 9 - 3 + 7 + (0 - 1 - 1)*(-3 + 5 - 3))*(-2*j**5 - 4*j**5 + 3*j**5).\nAnswer: 420*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((y**(-1)\/y)\/y)\/(y\/(y*y\/y**(-1))))**(-7))**(-25))**(8\/11) assuming y is positive.\nAnswer: y**(-1400\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 7*z**2 + 5*z + 3. Let l(m) = -13*m**2 - m + 1. Let b(o) = 7*o**2 - 1. Let g(r) = -10*b(r) - 6*l(r). Give 5*g(v) - 6*p(v).\nAnswer: -2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 163782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 114459283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/5)*u*u*u**7)**(-19)\/(((u*(u\/(u\/(u\/u**(-4))))\/u)\/(u**(2\/11)\/u))\/(u**(-2)*u*u**(1\/4))) assuming u is positive.\nAnswer: u**(-39901\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**3 - 661458*u**2 - 109387624320*u - 1968762931200 = 0. What is u?\nAnswer: -330720, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3.5*-1\nAnswer: 3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139169271?\nAnswer: 3, 181, 197, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -163 (b) 12 (c) 39.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5*(-9)\/(-180)*12. Solve k*r - 22 = c + c, 5*c = -25 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 36 = -8*x. Suppose 0 = -3*c + 9, 2*p + 6 = -0*p + x*c. Solve 0 = -p*m - 9 - 6 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/((f\/(f*f\/f**26)*f)\/f)*f*f*f\/f**(3\/8) assuming f is positive.\nAnswer: f**(-171\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 + 20*c + 23. What is l(-8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -57 (c) 93832\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2029163.3 to the nearest one hundred thousand.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00830755 take away 0.3?\nAnswer: -0.30830755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 315616.3cm in nanometers?\nAnswer: 3156163000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6160*x**3 - 3 - 2*x**2 - 2*x + 2*x + x.\nAnswer: 6160*x**3 - 2*x**2 + x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 5*p**2 + 7*p + 1. Let s(d) = 22*d**2 - 10*d - 48. Let k be s(-4). Let j = 338 - k. Give h(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 8 = 4*b, 5 + 7 = -3*y. Let n(a) = 4*a**2 - 12*a + 2. Let k(d) = -3*d**2 + 11*d - 2. Let o(u) = b*n(u) - 5*k(u). Let f = 6 + -13. Calculate o(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1432425?\nAnswer: 3, 5, 71, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 848010287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a hour in seconds?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/8 - (13 - 9505\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p. Let x(y) = 8*y + 27 + 38 + 16 + 4*y - 61. Give x(l(i)).\nAnswer: -12*i + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/1294 and (-43)\/(-8) - 7\/((-448)\/24).\nAnswer: 2588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 7\/180?\nAnswer: 7\/180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -4063, 85 in ascending order.\nAnswer: -4063, 6, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qttttttqtttttttqtt. What is prob of sequence qt?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1566 and 648?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0099696181 rounded to 5 decimal places?\nAnswer: -0.00997","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a - 96. Let g(r) = -2258*r. What is i(g(n))?\nAnswer: 4516*n - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 + -21.052. Let n = 21.948 - u. Let o = n - 21.999991. Round o to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -8*k**3 + 5*k**2 + 2*k + 1. Let r(p) = -p**3 - p**2 - p. Give d(t) + 4*r(t).\nAnswer: -12*t**3 + t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 478 = 454. Factor 4*p**5 + 1064*p**n - 108*p**4 + 1189*p**2 + 7680*p - 4096 - 3657*p**2 + 138*p**2 - 2214*p**2.\nAnswer: 4*(p - 8)**3*(p - 2)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183*i + 691542 - 192004 = -462493. What is the thousands digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**2 + 36*d**2 + 10*d**2.\nAnswer: 42*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -1\/6*i**3 - 2*i**2 + 0*i**5 + 1\/8*i**4 + 1\/360*i**6 + 0 + 0*i. Let r(a) be the first derivative of w(a). Determine r(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/25, 3, 5, -10, 5\/6.\nAnswer: -10, -3, -2\/25, 5\/6, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 0 - 8 - 7*v - 36*v + 11 to the form j*v + h and give j.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -958 - -959. Sort 2, 8, 3, 0.5, c.\nAnswer: 0.5, c, 2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 795303 and 32301?\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 8348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z - 12. Let v be h(-5). Solve 6*i = v*i - 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u - 47. Let y be m(-22). Does 15 divide 10\/(-6)*y*24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + 19. Let p be 2\/(-3) + (-40)\/(-6) + 3. Calculate the remainder when (6\/p)\/(8\/540) is divided by n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 22, 51, 96, 163, 258?\nAnswer: 387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -207.31 + 207.41. Let p be -2*(-1 + (-4)\/(-3)). Which is the nearest to h? (a) 0.23 (b) p (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0+-528.545\nAnswer: -528.545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2065595 is divided by 172110.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 0) + -8 + 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*n**2 - 67*n**2 - 61*n**2 as v + p*n + u*n**2 and give u.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -409, -811, -1213, -1615?\n\"Answer: -402*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 212\/13113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262 = 4*z - 2*l, 0 = -l + 4 + 1. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 4:50 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -8. Suppose -2*u = -5 + t. Suppose u*o - 3 - 3 = 0. Solve -6*y = -o*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)\/(sqrt(4) - sqrt(4)*-5))**2 + sqrt(19))*6 - 6*((sqrt(171) - sqrt(171)*-4)\/sqrt(9))**2.\nAnswer: -17081\/6 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 22\/(-56)) + 15\/(-60)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 151426790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90 and 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, a: 1, h: 1, z: 1}. Give prob of sequence rr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 17 (b) -4 (c) 0.1 (d) -0.2 (e) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.245284 and 13.3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3907 - 3907. What is the second biggest value in -2\/23, q, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*w**2 - 12*w**2 - 65*w**2 as n*w + j*w**2 + i and give j.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w**4\/4 + 13*w**3\/4 + w**2\/4 - 13*w\/4 - 3\/2 = 0 for w.\nAnswer: -2, -1, -3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -1.1. Let w = -82 - -112.5. Let r = 30 - w. What is the third smallest value in r, 1\/4, v?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33 + s + 33 - 19*s**3 - 37*s to the form f + v*s + j*s**2 + c*s**3 and give v.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -7*w**3 - 13*w**2 - 8*w + 8. Suppose 24*i - i = -207. Let r(g) = -3*g**3 - 6*g**2 - 4*g + 4. Let n(j) = i*r(j) + 4*b(j). Calculate n(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2065, 4119, 6173, 8227?\n\"Answer: 2054*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1031 = 107*m + 895 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -213582, -854569, -1922966, -3418773, -5341990, -7692617, -10470654?\nAnswer: -13676101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 3. Let q be 7\/((-42)\/(-24))*1\/2. Suppose 3*m + 883 = q*f - 0*f, -1786 = -4*f + g*m. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -152.37 - -152.87. What is the smallest value in -6, 0.89, f?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29109604?\nAnswer: 2, 79, 92119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, j: 2, c: 4}. Give prob of picking 2 c and 2 v.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13837748 + -2?\nAnswer: -13837750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6769, 12983, 19193, 25399?\nAnswer: 31601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.9 - -0.5. Let a = 8\/7 + -9\/14. What is the third smallest value in a, f, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + 8\/(-3))*-12. Suppose 4 = 3*n - m. Solve 0 = n*g - 2*o - 7 + 3, 4*g = 5*o + 16 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 75.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.6 and -5?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 333645562\nAnswer: 333645562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3688 - -5381. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7223601 months in centuries?\nAnswer: 0.00060196675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h - 4*r - 7, 0 = -4*r - 0 + 8 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -205 - -273. What is the remainder when g is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158549830 to the power of 1\/3, to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 5 + 4)*(-90*x**2 - 20*x**2 - 206*x**2)*(-1 - 1 + 1 + (-3 + 5 + 0)*(-3 + 3 + 1)) to the form w + v*x + m*x**2 and give m.\nAnswer: 632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 191 (b) 27 (c) -0.3 (d) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 9:09 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1901416 and -192?\nAnswer: 365071872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1346048 by -336512.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -61529*u**4 + 132298 wrt u?\nAnswer: -246116*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 286 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4151138427 to the power of 1\/3, to the nearest integer?\nAnswer: 1607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1375212 is divided by 8049.\nAnswer: 6882","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 4*o + 9. Let x be q(4). Solve x*z = 4*z + 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 93 - 88. Suppose -3618 = -4*g - x*o - 0*o, 4*g - 5*o = 3638. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 477\/24 - (-4)\/32. Let s be (8\/(-12))\/((-4)\/(-6)). Let r be (s\/((-2)\/i))\/2. Solve -5*j = 5*h - 5, 5*h + 5 = 2*h + r*j for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -204*h + 242. Let d(q) = -206*q + 241. Let m(s) = 4*d(s) - 3*r(s). What is the derivative of m(z) wrt z?\nAnswer: -212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-7\/2)\/(w**(-3\/4)*w) assuming w is positive.\nAnswer: w**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -143979*f. Let v(q) = -1065*q. Determine v(d(o)).\nAnswer: 153337635*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*d, -4*b - 2*d + 7*d = -138. Calculate the remainder when 213 is divided by b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*i**2 - i**4 - 50*i**3 - i**4 + 14*i**3 + 17*i**3 - 1 - 10*i + 18*i**3 to the form a*i + x*i**2 + n + k*i**4 + y*i**3 and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -4. Let n be -2*3\/9 + (-756)\/(-162). Solve 2*r = -o*r + n for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/(-3))\/5 + (-14)\/3. Let z be 21\/14 + (-1434)\/r. Round z to the nearest ten.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c6c67 (base 15) to base 4.\nAnswer: 2121330103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -332*i + 1312*i + 798*i + 48870 = -32*i for i.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 610 and 602070?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-1) - (3 - (-28)\/(-4)). Suppose 9*o - j*o - 162 = 0. What is the greatest common factor of 3 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -65972?\nAnswer: -65976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 - -33. Suppose -6*l = -d*l - 580. Suppose 6*a - 29 = l. Calculate the remainder when a is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 6. Let v(w) be the third derivative of -1\/12*w**4 - 16*w**2 - 1\/6*w**3 + 0*w - 1\/30*w**5 + 0. Give v(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18384687 or -18384668?\nAnswer: -18384687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 17606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48 + 56. Let n be (v\/5)\/((-7)\/(-5) + -1). Find the second derivative of -9*h + 26*h**4 - 2*h**4 - 6*h**n wrt h.\nAnswer: 216*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 574.861 to the nearest ten.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5671 is divided by 814.\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -86.7 and 18.\nAnswer: -1560.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2 + 18*h + 15. Let g be v(-8). Does 9 divide (-1 - g) + 2 - -46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 219\/(-494) + 1\/(-2). Let z = -15\/19 - d. Let o = 3 + -3.3. Which is the second smallest value? (a) 3\/5 (b) z (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 10 - 28 - -21.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 26626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v. Let j(p) = 1559*p. Determine o(j(m)).\nAnswer: -1559*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 193286 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59.2 - -30.8. Let u = 11.4 + s. Round u to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, b: 7, h: 2}. Give prob of picking 1 h and 1 d.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gcccjcgcggc. What is prob of picking 1 j and 2 g?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + -3. Which is the second biggest value? (a) q (b) 3 (c) 1\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5, -15, -45, -107, -213, -375?\n\"Answer: -2*y**3 + 2*y**2 - 2*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1716 a factor of 32017128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (84 - 84 - 2*v)*(-2*v - 432*v**3 + 342*v**3 + 4*v).\nAnswer: 180*v**4 - 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) 29 (c) 4 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 7824.\nAnswer: 23472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 9:54 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 10*c**5 - 13)*(-4 + 3 - 1) - c**3 - c**5 + c**3 + (-2*c**2 - 2*c**2 + 2*c**2)*(3*c**3 - 4*c**3 + 0*c**3) + 18*c**5 - 56*c**4 + 56*c**4.\nAnswer: -c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 27 - 4*a - 27 as f*a + x and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-66))\/((-1)\/(-3)*-1).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4783966840 is divided by 137?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 6:18 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10319938957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1022 + -100?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -339677\/22 + 15437. Let w = 8903\/604 - -3\/302. What is the common denominator of w and z?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310447 is divided by 4252?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1353 + -1349. Suppose 4 = -4*d, -4*d = 2*h + c - 0. Find a such that -3\/2*a**2 + 9\/4*a**5 + h - 1\/4*a + 3\/2*a**4 - 2*a**3 = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + h. Solve 5*t = -h*t + 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 2. Let v(l) = 6*l**2 + 2*l - 1. Calculate the remainder when 18 is divided by v(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30769 or -30770?\nAnswer: -30770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -260 by 20.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -3*t + 9, 80*g + 14*t = 78*g - 6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 458 less than 68.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/44)\/((-402)\/(-70752))?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 27 = 5*k + 8, -k = -3*i + 13 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/5))**21)**(-1\/18)\/((h\/h**(2\/3))**(1\/60)*(h\/(h**(-6\/11)*h))\/h**(-6)) assuming h is positive.\nAnswer: h**(-12509\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5251 + -332?\nAnswer: -10023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/209 - 635\/836. Suppose -71 + 38 = -11*f. Put 4, o, f in increasing order.\nAnswer: o, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(45\/(-10))*3. Is 31 a factor of (-8)\/16*8*(-31)\/g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**4 + 126*a**3 - 3*a**2 - 126*a = 0. What is a?\nAnswer: -42, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 130\/3 - 43. Let r = -14.5 + 15. Which is the third biggest value? (a) z (b) r (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1395 and 989985?\nAnswer: 2969955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 4*u = 12*t - 33, 0 = -3*t - 2*u + 21. Suppose 0 = 3*v - v - 8. Suppose v*i - 3*i = 9. Is t <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of 2*o**4\/3 - 4*o - 3. Let t(f) be the first derivative of b(f). Let p(z) = 2*z. Calculate p(t(c)).\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3173404\/(-6) - (-3)\/(-27)*-3*2. Round r to the nearest ten thousand.\nAnswer: -530000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*b + 6*l - 20, -l = 4*b + 14. Let t(d) be the third derivative of -d**5\/60 - d**4\/6 - d**3\/3 - d**2. Calculate t(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 363*b - 355 - 734 = 0. Let l(k) = 17*k - 45. Calculate l(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -1 - ((8 - -9) + -7 + -8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 + 1)*(-3*l + 1 - 1) + l - l - 3*l + 4*l - l - 4*l + 8*l + 6*l - 3*l in the form q*l + a and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mnmmmnrme. What is prob of picking 3 m?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42*i**5 + i**3 + i**3 - 2831 + 2835 + 16*i wrt i.\nAnswer: -840*i**3 + 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.2 (b) -1\/50 (c) -2\/13 (d) -2\/5 (e) -4\/3 (f) 15\/4 (g) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -4\/85, -5.2, -5, 0.7?\nAnswer: -4\/85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 3*m - 13 = 0, -m - 19 = n + 3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.75 + -4.25. Which is the second smallest value? (a) -2\/13 (b) -2 (c) s (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) -1 (c) -4 (d) -0.5 (e) 19113\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 2*a**2 - 2*a + 4. Let b be v(3). Suppose 0 = z - 3 + b. Let h = -4 - z. Sort -2, h, 3.\nAnswer: -2, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 20*c + 25. Let g be h(-1). Solve 8*y + g = -11 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t + 72 = 8*t. Let u = -20 - t. Let l = 0.128 + 0.022. Which is smaller: l or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -131014312 + -2?\nAnswer: -131014314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, g: 2, r: 1, a: 3, j: 3, b: 1}. What is prob of sequence anrj?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -6318216\nAnswer: -1263643.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 1 (c) 73\/5 (d) -1\/2 (e) -45 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 12 = 2*c, -1748*c + 1745*c + 12 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -17184\/11833 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c - 34554*c**3 + 69115*c**3 - 34558*c**3 - 23*c.\nAnswer: 3*c**3 - 24*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/75913 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 - 3088*w**2 - 12304*w - 12288.\nAnswer: -4*(w + 2)**2*(w + 768)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + j + 730 = 0, 2*j - 32 = t + 125. Let h be 426*(t\/(-60))\/7. Let u = h + -149. Which is the closest to -2\/3? (a) -0.5 (b) 2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32703?\nAnswer: 3, 11, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339 is divided by 73.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/86 and -5\/117.\nAnswer: 10062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 28, -2 in ascending order.\nAnswer: -4, -2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 12 = -4*b, 2*p = -2*p + b. Let q be 158*2\/(-4)*p. Let w = q - 38. List the prime factors of w.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 3*j + 2*x, -5*j + 57*x = 60*x - 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3.118+0.026224\nAnswer: 3.144224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 342 not equal to 342?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -x**6\/120 + x**5\/10 - x**4\/6 - 5*x**3\/6 + 4*x**2. Let p be m(5). Solve -o = -p*o + 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.961954nm in micrometers?\nAnswer: 0.005961954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 + 0.1. Let j = 0.07 - -0.03. Let p be (-1)\/2*3\/3. What is the closest to c in j, p, 0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 136763?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*p + 50*p + 5 = 0. Let o be 118*(-4)\/(-8) - (p + -2). Let j = -51 + o. Solve 7*c - j = 2*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/(-3))\/(-9*(-6)\/1377). Let g be p\/840 + 2\/(-14). What is the closest to 1 in 0.3, g, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((-8 + -5 + 3 - -4) + (-253 - -280)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 293496 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.4 take away 53?\nAnswer: -56.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 15\/110)*(-17)\/51\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55 - -275. List the prime factors of w.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6*h - 8*h + 3*h)*(h**2 + 2*h - 2*h) + 2*h - 2*h + 4*h**3)*(-3 + 1 + 4)*(2 + 0 - 2*h - h)*(-3*h + 2*h - h).\nAnswer: -84*h**5 + 56*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3872, -7739, -11604, -15467, -19328, -23187, -27044?\nAnswer: -30899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 182 - 182 - (-4 - -23)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -11.5, 1186, -0.3, -4 in increasing order.\nAnswer: -11.5, -4, -2, -0.3, 1186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -8*x**3 - 3*x**2 + 11*x - 7. Let n(k) = -3*k**3 - k**2 + 4*k - 2. Calculate -17*n(h) + 6*s(h).\nAnswer: 3*h**3 - h**2 - 2*h - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**4 + 10696*x**3 + 9775164*x**2 + 19475496*x - 29261358 = 0.\nAnswer: -4179, -1167, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.6 - -1.6. Which is the third smallest value? (a) p (b) 4 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*h + 42831 = -18879. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(130)*-3 + sqrt(130)))\/sqrt(10))**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 29, 43, 59, 77, 97, 119?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1106962 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52032 by -13008.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 232 - 227. Let b(i) = 0*i + 0*i - 4*i**3 + 2*i + 0*i + n*i**3 - 12*i**2. Let c(k) = 6*k**2 - k. What is -2*b(j) - 5*c(j)?\nAnswer: -2*j**3 - 6*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 278 - -2. Is u a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 3. Let w be s(0). Suppose 4*o = 6*o - 8. Solve 0 = -k + w*k - o for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11133 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 + 19845*d - 1082400.\nAnswer: -3*(d - 6560)*(d - 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 4*y + 3. Suppose -29 = g - 25. Let q be v(g). Solve -d + 3*s + 13 = -0*d, d = -s - q for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence at when two letters picked without replacement from tallltlal?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 5:00 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -66) + (-698 - -653)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 273910590 to the power of 1\/4, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -144923.067 + 144856. Let j = -10.3 + 77.3. Let y = u + j. Round y to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - a - a + 2*a - 610*a**2 - a.\nAnswer: -610*a**2 - a - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 44*f + 49136 = 0. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 1)*((-3 + 0 - 5)*(-9*s + 0*s - s) + 1 - 1 - s) to the form y*s + p and give y.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*u**2 + 3*u + 5*u**2 - u + 2)*(-3*u - 4*u - 4*u) to the form w*u + q + h*u**2 + x*u**3 and give x.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1734*u + 83668 = 388*u - 263*u for u.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 5:12 PM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 8. Let t(u) = u**3 + 8*u**2 - 2*u + 8. List the prime factors of t(p).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2*sqrt(171) - sqrt(171)) - (3 + sqrt(171) + 2) - (3 + 2*sqrt(171) + -2 + 1))**2.\nAnswer: -504*sqrt(19) + 24673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 h when two letters picked without replacement from hwwwhwrhwu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -5, 17, 11, -2 in decreasing order.\nAnswer: 17, 11, 9, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.83 - -0.13. Let s = q - -0.73. Let f = -0.33 + s. Which is the second smallest value? (a) 1 (b) -3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - k - 84 = 0. Let b be 98*(3 + 27\/k). Suppose 2*y - b = 276. What is y rounded to the nearest ten?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.74685 to 2 decimal places.\nAnswer: 2.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.03 (b) -2\/15 (c) -0.5 (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/3)\/(28\/(-6))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -0.3 (b) 3 (c) 11.8383 (d) 0 (e) -3 (f) 0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23263 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1195?\nAnswer: 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 7 - 129*m**2 + 10.\nAnswer: -129*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 705547.5 grams to micrograms.\nAnswer: 705547500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/252660912 and 65\/1164336?\nAnswer: 252660912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.178927 and -3?\nAnswer: 2.821073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -57, -229, -531, -975, -1573, -2337, -3279?\n\"Answer: -2*k**3 - 53*k**2 + k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -33*c**3 - 21*c**2. Let j(y) = 8*y**3 + 5*y**2. What is 21*j(a) + 5*n(a)?\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -169*b - 5. Let i(w) = 2*w + 9. Calculate i(a(l)).\nAnswer: -338*l - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/19637 in 2\/7, -2\/9, -0.05, -12, -0.4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kqqdqqnnd. Give prob of sequence ndn.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.08 - 0.08. Let s = 5 - x. What is the third biggest value in 3, s, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 7. Let g = -1.8 + f. Let u = 18453 - 18456. Which is the biggest value? (a) g (b) 0.1 (c) 1\/9 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2*(sqrt(1008) + 1) + (sqrt(1008) + 1*(sqrt(1008) + -1))*-4)**2*-1 + 0.\nAnswer: -36313 + 720*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1411.3 - -245.7. Let b = -1800.2 + o. Round b to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -460e9e (base 15) to base 11.\nAnswer: -198489a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 17862.\nAnswer: 89310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - 45\/(-6)) + (-9)\/(-6). Let p be 2166\/(-418) + (q - 1). Sort 2\/9, p, -0.2, -5.\nAnswer: -5, -0.2, p, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/3)\/(v*v*v**(-1)\/v*v*v)*(v**(-4)*v)**(1\/8) assuming v is positive.\nAnswer: v**(-65\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (58\/5)\/(2\/5). Suppose -28*q - 3697 = -f*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65931?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*p = 3*z - 71*p - 32, -4*z + 2*p = -6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 12:52 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/2, 2\/15, 0.05, -7 in descending order.\nAnswer: 1, 2\/15, 0.05, -1\/2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -f - 0*f. Suppose -2*b + f = 1. Suppose 0*g - b*g = -36. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-13175.\nAnswer: -5270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20987?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4322, 4335, 4350, 4367?\nAnswer: 4386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 23\/7885?\nAnswer: 23\/7885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -496003.\nAnswer: -5\/496003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -10d4e?\nAnswer: 10d53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 2*h - 7. What is n(8)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/31867416 and 83\/112?\nAnswer: 63734832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) 0.3 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.47 - -0.07. Let m be 90\/150*(-1 + 4). What is the biggest value in 0, m, f, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**2\/3 - 1194196*a\/3 - 356526021604\/3 = 0. Calculate a.\nAnswer: -597098","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -15314398.73 to the nearest 100000.\nAnswer: -15300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + c + 1, c = 4*c. Let k = v + 7. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence izgs when four letters picked without replacement from oszzigorosozzgsiszr.\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y + 1. Let m(p) = -4*p**2 + 5*p - 7. Give m(c) + 6*v(c).\nAnswer: -4*c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c + 8*c - c + 5*c - 9*c.\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 - -47. Solve -7 = -b - f, -3*f - i = -5*f for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-3))\/((-646)\/57 - -12)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3835321 to the power of 1\/2, to the nearest integer?\nAnswer: 1958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 1) + 1 + 17. Let q = 194 + -44. Let z be q\/39 + (-4)\/(-26). What is the greatest common divisor of z and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**3 + 9*g**2 - 10*g - 17. What is i(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 242396 by 22.\nAnswer: 11018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -571881 divided by -57.\nAnswer: 10033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1081 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -167729, -670659, -1508871, -2682359, -4191117, -6035139, -8214419, -10728951?\nAnswer: -13578729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 4:09 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 187 = -4*g, -2*p = -4*g + 120 + 74. Suppose -200 = -5*u - 2*d, 2*d - g + 152 = 3*u. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/3, -3\/38990, 3\/4, -1\/3?\nAnswer: -3\/38990","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -3 + 12 - 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 7:05 AM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9697.189kg?\nAnswer: 9697189000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4133, 6797, 9447, 12077, 14681, 17253, 19787, 22277?\n\"Answer: -n**3 - n**2 + 2674*n + 1461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of j**6\/18 + j**5\/3 + 5*j**4\/9 + 3*j - 8. Factor o(s).\nAnswer: 5*s**2*(s + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6 + 0.2. Let w = 24350 - 24351. What is the smallest value in 2\/73, w, u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t + 8. Let i be z(-6). What are the prime factors of (i\/(-6) - 0)*-6?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 206 - 209. Let f be l*3\/9*-117. Calculate the highest common divisor of 9 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16684140 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 1216 = 4*s, 0 = -3*u + 2*s - s - 908. Let n = 506 + u. Does 7 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 5*d**2 + 5*d - 1. Let k(r) = -r**2 - 18*r - 3. Let y be k(-18). Let j be x(y). Find the first derivative of -1 - 10 + 7*w**4 - j*w**4 wrt w.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*((-22)\/(-33))\/((-4)\/38). What is the units digit of 979584\/912 + 2\/x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xdkxxkrxx. Give prob of sequence xxxx.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 11 - 13*d + 3 - 1 - d**2. Let u be f(-14). Is u greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 788900 rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 11*u**4\/6 - 580*u**3\/3 - 340*u**2\/3 + 2320*u\/3 + 424 = 0.\nAnswer: -2, -6\/11, 2, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (16\/(-2) - -10)*708\/8. Which is greater: j or 174?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of a**4\/2 - 503*a. Let b(f) = -2*f**2 - 12*f. What is b(z(q))?\nAnswer: -72*q**4 - 72*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65136 + -26538. What is the thousands digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15508382, 31016780, 46525200, 62033654, 77542154, 93050712, 108559340?\nAnswer: 124068050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -87\/2, 8\/3, -14, 4, -4?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1238004 to the nearest 1000.\nAnswer: -1238000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(275)\/(sqrt(30)\/sqrt(6)))\/(sqrt(275)*-3).\nAnswer: 2*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/80640 and -151\/40320?\nAnswer: 80640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, n: 6}. What is prob of sequence nnn?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -696*m**3 + 5. Let r be n(-7). Suppose -7*a - 414266 + 1441397 = 0. Let d = r - a. What is d rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/10 + (-22)\/55. Let k be h\/(-3 + 16\/4). Let v(c) = -c**3 + c**2 - c + 3. Determine v(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -21*o - 1894. Calculate p(-90).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 174151084.54?\nAnswer: -174151085.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -29303 times -33326?\nAnswer: 976551778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (335\/(-670))\/((-1)\/(-2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -198*k + 198*k - 2*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -18 * 326208\nAnswer: -5871744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220*q - 616 = 192*q. Calculate the greatest common divisor of q and 1298.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60452552 a multiple of 181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - -13. Let y = 13 + -5. Calculate the least common multiple of f and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -5*k**2. Let u(b) = -13*b + 7. Let v(g) = 9*g - 5. Let p(a) = -5*u(a) - 7*v(a). Calculate p(c(n)).\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 45302 (base 8) to base 6\nAnswer: 224334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 5*k**2 - 3*k - 3. Calculate z(3).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (7 - 12) - -9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7, 9, 11, 13?\n\"Answer: 2*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/14 + 6\/4. Let d(f) = f**2 - 4. Let u be d(4). Suppose -3*i - 2*i + h = -15, -i + k*h = -u. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) - (sqrt(162) + -1)) + 5 - 5*(0 + sqrt(162)))**2.\nAnswer: -540*sqrt(2) + 4086","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5038.76 rounded to the nearest 10?\nAnswer: -5040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 66\/110*((-1)\/(-2))\/((-27)\/(-450)). Suppose 2*r = -0*r + 16. Solve j*h = 13 - r for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (24\/2 - -2) + 3. Suppose -22*s = -k*s - 40. Suppose w - 23 = s. Calculate the greatest common divisor of w and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-456)\/(-21))\/8 + -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1096657 + 2014010. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12314552 times -0.1\nAnswer: -1231455.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31132054?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1178\/(-57))\/((10\/930)\/(-2 + 1)).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 6:20 PM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 at most 0.0583672?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -5542336?\nAnswer: -1\/2771168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*(672\/(-40))\/14. Let n(d) be the second derivative of d**5\/40 - d**3\/6 + 2*d. Let y(g) be the second derivative of n(g). What is y(s)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 244 and 8220.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21020 - -12?\nAnswer: -21001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*j - 12 = 0, 2*m + 1 = 4*j + 13. Determine f, given that 2\/3*f**4 + 0 - 2\/3*f**2 + 2\/3*f**3 + m*f - 2\/3*f**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**4\/9 + 4*k**3\/9 + 26*k**2\/9 - 76*k\/9 + 16\/3 = 0.\nAnswer: -4, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 39*z**2 + 301*z + 186. Calculate h(28).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) + (1 + sqrt(208))**2*2 + sqrt(208) + 1 + 1 + 0 + -1 + (sqrt(208) - ((sqrt(208) - sqrt(208)*2) + sqrt(208)))**2 + 0.\nAnswer: 24*sqrt(13) + 627","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 921*z - 918*z + 19 = 0, 5*d - z + 15 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2697 a factor of 515967899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -139*b**3 - b**2 - b - 1. Let r be g(-1). Suppose k + 25 = r. Suppose -3*d - 183 = -3*n, k = 2*n - 2*d + 3*d. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/(-10) - (-220)\/100) + 0. Which is smaller: -69 or h?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (2 - -1) + 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 2*c, -2*c = -2*g - 0*c. Suppose -4*u + 0*u + 240 = g. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.1758 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7979698 divided by -3989849\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 1 = -n, n - j + 3*j = 0. Let r = -199\/6 - -33. Calculate the common denominator of r and (n - -7) + 1190\/(-252).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 44021.91 centuries in years?\nAnswer: 4402191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-6)*m)**(6\/13)*(m**(6\/17)*m)\/(m*(m*m**(-3\/7))\/m) assuming m is positive.\nAnswer: m**(6921\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 1562*w + 264. Let t(x) = 59*x + 10. Let h(v) = -5*m(v) + 132*t(v). Let l(f) = 44*f. Calculate -9*h(q) - 4*l(q).\nAnswer: 22*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 19*r**2 - 31*r + 3. Let y(c) = 7*c**2 - 10*c + 1. Calculate -3*j(d) + 8*y(d).\nAnswer: -d**2 + 13*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -514 divided by 20.\nAnswer: -257\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-4)*16\/(-20). Let j be 3 + (-1)\/(1\/c). Solve -j*k - 3 = -3*n + 4*n, 4*n = -2*k - 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1925427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1021450838\/5 or -204290168?\nAnswer: -204290168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.4, -49, 1 in ascending order.\nAnswer: -49, -1, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 175 and 3125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09641435 to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -1 + (-27 - -12 - -15)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*f**2 - 606*f**2 + 146*f**2 + 155*f**2 + 156*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 101*p**2 - 26*p - 4320. Determine f(-101).\nAnswer: -1694","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 214 - 109. List the prime factors of r.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 386455 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 753817?\nAnswer: 67, 11251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1314*-29\nAnswer: -38106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3549531816 from -4.\nAnswer: -3549531820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 12, -4*s + 108 = 2*m + 26. Suppose 0 = -5*h - k + 13, 4*k + k = -2*h + s. Which is the closest to 0.5? (a) -1\/2 (b) -2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1709.384 - -1730. Let v = m - 22.4078. Let j = -1.74 - v. Round j to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -3*f**5\/2 + 540*f**4 - 40644*f**3 - 1520589*f**2 + 13178619*f\/2 - 5028615 = 0.\nAnswer: -30, 1, 3, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - q + 183. Let a = q + -48. Let m be (-43)\/(-3) - (-4)\/6. What is the greatest common factor of a and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -6. Let s be ((-4)\/26 + 86\/52)*2. Solve -m + 1 = -s*n, 0 = -4*n + 6*n - f for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*q + 132 = -12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 20 + -24 - -4.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 3*n**2 - 9*n - 8. Let y(c) = c**3 - 5*c**2 + 11*c + 9. What is -5*h(o) - 4*y(o)?\nAnswer: o**3 + 5*o**2 + o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 0 (c) 15 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 + 2096*p**2 + 634175*p - 636272.\nAnswer: (p - 1)*(p + 368)*(p + 1729)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 0*s = s + 4, 3*s = h + 14 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151246809?\nAnswer: 3, 7, 331, 7253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 - 1124 = -11*z. Let m be 12*6\/z - (-14)\/(-8). Let h(i) = 2*i + i**2 - 6*i + 3*i. Let s(b) = -2*b**3 - 4*b**2 + 3*b. Give m*s(l) - 2*h(l).\nAnswer: 2*l**3 + 2*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.11, 44, 0.2, -0.75, -1, 5, 2\/13?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*n + 149, -n - 9 = 3*v + 55. Let o be 127\/(-4) - (-1)\/(-4). Let g = o - n. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 185 = -0*g. Let q = -26 + g. Let i = -80 - -112. What is the remainder when i is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m + 3*z - 160 = 3*m, -3*z - 85 = -2*m. What is the remainder when m is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -341*p**3 - 351*p**3 + 698*p**3 + 1 to the form c*p**2 + w*p + v*p**3 + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 55872563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1775868 and 404874.\nAnswer: 1443780684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -22*b**2 + 1\/6*b**4 + 0 + 7\/60*b**5 + 0*b + 1\/3*b**3. Is q(19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2271016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*m + 195. Let p(l) = 2*l + 26. What is the remainder when (6\/4)\/(m\/(-3408)) is divided by p(11)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v + 3. Let y(x) be the second derivative of -x**3\/2 + 4*x**2 + 4*x. What is -8*f(d) + 3*y(d)?\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 16*r - 17. Let y(m) = -4*m - 4. What is 2*l(j) - 9*y(j)?\nAnswer: -2*j**2 + 4*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence psiu when four letters picked without replacement from {p: 6, j: 3, s: 1, u: 1, i: 1}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -123965 at least as big as -123954?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 4293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 7 (b) 0 (c) 4 (d) -1\/4 (e) -2 (f) 3.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 2*r**2. Let i(k) = -3*k**2 + 2*k - 2*k + 5*k**3 - 6*k**2. Give 9*h(c) - 2*i(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8848*h**2\/3 - 35389*h\/6 + 1 = 0.\nAnswer: -2, 3\/17696","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -20 - 12922cb?\nAnswer: -12922eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -9*g**3 - 21*g**2 - 17*g - 32. Give q(-4).\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1650 divided by 66\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1428 - 1394 - 24*w + 2822.\nAnswer: -24*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.223 - 0.103. Let x = -25573 + 25575.1287. Let o = x - f. Round o to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.54 - -0.04. Let h = a + 0.4. Is -1 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -242191.74 minus -6?\nAnswer: -242185.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 + 408678*i - 41754426921.\nAnswer: -(i - 204339)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 5:30 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 11:12 PM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0181 and 0.993.\nAnswer: 1.0111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/2434 and 7\/11.\nAnswer: 26774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 50563891 = 50563893?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8906*y**4 + 1503*y wrt y?\nAnswer: -106872*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27616016 to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*k**2 - 2*k**2 + 4*k - 1 to the form h + a*k**2 + l*k and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 44, 79, 126, 191, 280, 399, 554, 751?\n\"Answer: r**3 + 28*r + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -1, 4, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -330 divided by 30?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -8, -10, -12, -14, -16?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of d**5\/60 - 105*d**2. Let q(y) = 17*y. What is r(q(i))?\nAnswer: 289*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 f when four letters picked without replacement from {o: 4, f: 12, e: 4}.\nAnswer: 132\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 - (3 + -6)\/(9\/(-6)). What is the remainder when (0 + -1)*-8 + 2 is divided by 3 + (1 - -3 - s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20322108*s**2 - 10161064*s**2 - 10161053*s**2.\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 5 (c) 163 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**5 - 3*g**5 + 4*g**5)*((0 - 4 + 2)*(1 + 2 - 1) + 4 - 3 + 1) + (3*g**2 - 2 + 2)*(4*g**3 + 0*g**3 - 6*g**3).\nAnswer: -4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 482767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6562 (base 16) in base 13?\nAnswer: ba76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 102*t + 46. Let d = -516 - -520. Does 7 divide s(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 2*w - 19. Suppose 4*x - r = -107, -4*r + 31 = 3*x + 135. Let k be (1 + 0)*-2*(-98)\/x. Calculate the lowest common multiple of 18 and g(k).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(11)*-2 + -5 + sqrt(11) + sqrt(11) + 1 + 3 + 1 + -1*sqrt(11).\nAnswer: -sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 6*c**2 - 2*c + 20. Let f be v(6). Suppose -4*z - 241 = -53. Let y = z - -87. Calculate the greatest common factor of y and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 845208923 to the power of 1\/2, to the nearest integer?\nAnswer: 29072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m = 772 + 8. Find the second derivative of 4*w - m*w**2 - 53*w - 8*w wrt w.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -l**5\/60 + 5*l**4\/24 - l**3\/3 + l**2 - 2. Let s(k) be the second derivative of w(k). What are the prime factors of s(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110 + 11101111111100110110?\nAnswer: 11101111111101000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 14 + -15 + (-14 - -4) + -15?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -14. Suppose -3 - 9 = s*w. Let f = w + 8. Solve 2*o + 10 = -y, f*y + y - 5*o = -5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11363, 11361, 11359, 11357, 11355, 11353?\n\"Answer: -2*o + 11365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*m - 8*m + 11 = 0, -2*x - 5*m = -1. Suppose -x = -s + 16. Suppose s + 51 = 5*b. Calculate the highest common divisor of b and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 6)*(2*n**2 - 2*n**2 + 2*n**2).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a millennium in years?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-3))\/(2\/12). Let l = 92.6 + -92.8. Do u and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 85 - 2549\/30. Let p(i) be the third derivative of 0*i - m*i**5 + 0 + 3*i**2 + 0*i**4 - i**3. What is the first derivative of p(t) wrt t?\nAnswer: -4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315 is divided by 88.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.13 + -0.83. Let c = -5.8 + z. Let k = -13\/7 + 46\/21. What is the nearest to -1 in k, -0.2, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/14 and -17\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.156, -668, -1\/22?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4310 or -4316?\nAnswer: -4310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1100 and 740432?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2. Let s(j) = -6*j - 4. Let v(c) = -c - 1. Let i be (-2)\/2*(-2)\/(-2). Let m be (4\/16)\/(i\/(-4)). Let u(z) = m*s(z) - 4*v(z). Determine u(f(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -224 and -1642703435.7.\nAnswer: -1642703659.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 0. Let x = 0.2 - 0. Let s = -3 - -3. Which is the smallest value? (a) i (b) x (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 62 - 149?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 9:24 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4374 and 1864782?\nAnswer: 1458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12031133102213 + 3?\nAnswer: 12031133102222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + w - 1. Let k(g) = g**2 + 4*g + 1. Let t be k(-4). Let o(z) = 4*z - 4*z**2 - 17 + 18 - 2*z**3 - 5. Determine t*o(q) - 4*n(q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, f: 11}. What is prob of sequence fpp?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wk when two letters picked without replacement from {m: 1, e: 1, w: 1, k: 4, j: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = l - 2. Let q(o) = 5*o**2 - 8*o + 4. Let n be q(5). Suppose -2*w + 18 = a + 3, -l*a + 4*w + n = 0. Is a a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 5:04 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**2 - 57784035*b + 115568082 = 0. What is b?\nAnswer: -19261347, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -78721 + 78728. Suppose 2*a + 2*a - 20 = 0. Let m(b) = 2*b - a + 5*b**2 - 5*b**2 - b**3 + 7*b**2. What is m(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - i + 1. Let j(o) = 865*o**2 + 5. Let r(s) = -j(s) - 5*y(s). Let z be r(-6). Round z to the nearest one thousand.\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1177*r + 369*r + 3*r**2 + 372*r + 398*r - 4 to b + i*r + d*r**2 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssd when three letters picked without replacement from sdsssssssssdsdsssssd.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 955 = -4*d, n + 427 - 1629 = -5*d. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277 a factor of 1120627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from jjaajoaajj.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 2*m = -m + 10, 0 = -5*k + 3*m + 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -691*j + j**3 + 42 + 2513*j - 81 + 39 to the form x + l*j**3 + t*j + a*j**2 and give t.\nAnswer: 1822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 12*v + 20. Calculate p(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22632 is divided by 222?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 6 = -3*x, 2*i + 178*x - 176*x = 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4166 - 8329\/2. Which is the closest to 2\/17? (a) 2 (b) 1 (c) x (d) 134\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1298\/63 + 170\/9. Is d less than or equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 90\/12*(-6102)\/(-405)\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*i = 36. What is the remainder when 2*((-2 - -16) + -2) is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -148 + 182 - (-8 - (-5 + -1))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + 2*d - 3*y + 15, -y = -1. Let x be (30\/4)\/((-3)\/d). Let s = x - -2. Is s a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 - 5*q**3 + 3*q**3)*(-3*q**2 - 2*q**2 - 2*q**2).\nAnswer: 28*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 7*a - 5)*(4 - 4 + 2*a) + a**2 - 8*a**2 + 3*a**2.\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-10 + 14 - 15).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83 + 83 - 64*z**3)*(4*z + 13 - 12 - 2*z).\nAnswer: -128*z**4 - 64*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 26*p**2 + 13*p - 8. Suppose 0 = -g + 10 - 7. What is the units digit of k(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 to the power of 1\/9, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -95 + 85 + -57 + 102?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -123*b + 31 + 213*b - 7 + 195*b in the form d + r*b and give r.\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -20*o**2 + 295*o + 16. What is g(15)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 6*d**2 - 15*d + 5. Let m(g) = -g**3 + 5*g**2 + 17*g - 5. Let k(f) = -3*a(f) - 4*m(f). Is k(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2974 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/h**(-8\/3)))**(-4)\/(h*h*h\/(h\/h**(-2\/7))*h**(-1\/2)) assuming h is positive.\nAnswer: h**(397\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 0.01382?\nAnswer: 0.08292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 110 = 4*d, 0 = 9*a - 4*a - 5. Suppose 0*w - d = -2*w. What is the greatest common factor of w and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 20164960?\nAnswer: 60494880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -9*o**3 - 3*o**2 - 5*o - 5. Let x(g) = -14*g**3 - 4*g**2 - 8*g - 8. Let a(v) = -8*l(v) + 5*x(v). What is t in a(t) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 23 + ((-16)\/(-40) - (-12)\/(-5)). Let f(y) = -y**3 - 4*y**2 + 8. Let c be f(-2). Sort -4, c, s in increasing order.\nAnswer: -4, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*o**2 + 22*o**2 + 8*o**2.\nAnswer: -13*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 834383.9 millilitres to litres.\nAnswer: 834.3839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1, -12, -9, 32, 135?\n\"Answer: 4*l**3 - 17*l**2 + 12*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32805 - 5911.\nAnswer: 26894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.85 + 122.87. What is j rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -25. What is the remainder when 139 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001 - 110001101011001011?\nAnswer: -110001101010110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -19437?\nAnswer: -5\/19437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/((-30)\/4))\/(32\/72)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 416225 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -922*l = -916*l - 54. Solve 5*x = -g + 4, -4*x - 5 = -l*x for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 415 + -2489\/6. Let i(q) be the third derivative of -5*q**2 + 0*q + 1\/120*q**6 + 0*q**4 - j*q**3 + 0*q**5 + 0. Find the first derivative of i(r) wrt r.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 17*g - 60 = 0. Which is bigger: -18 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41894640?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.387 - 4.157. What is the third biggest value in -0.07, -18, j?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - (-2 + 2 - -1). Suppose 5*l + 10 = 0, -5*o + 42 = l - 2*l. Calculate the lowest common multiple of o and c\/((-2)\/18) + 2.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 1. Let i(l) = -3*l**2 - 4*l + 3. Let d(b) = i(b) + 2*z(b). Let r be d(-5). List the prime factors of 141\/12 - 1\/r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 14)*(0*l + 5*l - 4*l).\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 6, -1, 1 in descending order.\nAnswer: 6, 1, -1, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/25 of a millennium?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 3*v - 29, 0*y - 1 = y + v. Which is the second biggest value? (a) 4 (b) y (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113884870 divided by 60901.\nAnswer: -1870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -14. Let h = -42 + 337\/8. Are h and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-2*(sqrt(132)\/sqrt(3)*-4 + sqrt(2816)*-2 + sqrt(2816))\/(((sqrt(576) - (sqrt(576) + sqrt(576)*-2 + sqrt(576))) + sqrt(576))*5))**2)*-6.\nAnswer: 84\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -11. Let a(v) = -15*v + 2 + 19*v - 4. What are the prime factors of a(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 9:00 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + 629086.272292.\nAnswer: 629086.672292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15077 is divided by 14895.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7897527.\nAnswer: 3, 11, 26591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 128431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7726 (base 14) in base 13?\nAnswer: 94c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -3*h**4\/4 - 24*h**3 - 477*h**2\/4 - 51*h + 195 = 0.\nAnswer: -26, -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mgggcggucgggcgcggggc. What is prob of picking 1 m and 1 u?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 88.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -96348*d**3*q**2*t**2 - d**3*q**2*t - 2*d**3*t - 7*d**2*q*t - 2*d*q**2*t + 2*d wrt t.\nAnswer: -192696*d**3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*j + 12 = 0, 0 = o + j + 11 - 8. Let x(s) be the third derivative of 0*s - 32*s**2 + 1\/160*s**5 + 3\/64*s**4 + 0*s**3 + o. Factor x(v).\nAnswer: 3*v*(v + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-124)\/(-12))\/((-2)\/18*-3). Suppose -s - f = -3*c - 157, 0 = 5*s - 4*c - 586. List the prime factors of s.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-8)\/(-384)*-4\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17248 and 1078?\nAnswer: 17248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -156, -4, -6, 11, 5 in decreasing order.\nAnswer: 11, 5, 3, -4, -6, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, g: 11, z: 2, f: 2, x: 1, b: 2}. What is prob of picking 1 z, 2 f, and 1 g?\nAnswer: 11\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 14014, 28380, 43444, 59560, 77082?\n\"Answer: 59*b**3 - 5*b**2 + 13968*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -6467*y**3\/6 + 879*y**2\/2 + 8808*y. Differentiate f(k) wrt k.\nAnswer: -6467","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1710 divided by -95?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4 + 1. Let r(v) be the third derivative of v**4\/4 - v**3\/6 + 2*v**2. Let s(g) = 13*g - 3. Determine i*s(k) + 7*r(k).\nAnswer: 3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -80 - 0.008.\nAnswer: -80.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2211305 is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357 is divided by (-9579)\/(-155) + (3 - 42\/15).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 + 391935*p - 1175850.\nAnswer: 5*(p - 3)*(p + 78390)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*a + 12*a - 480 = 0. Calculate the greatest common divisor of a and 1005.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -17*w**2 - 4983*w + 146225. What is t(-320)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14945*h = 14877*h - 1564 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -545 + 554. Find the common denominator of z\/(3 + 0) - (-455)\/(-225) and -54\/65.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c**3 + c**2 + c - 1. Let u be h(1). Solve 5*o - 10 = 0, -u*o + 1 + 9 = 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.25 times 20?\nAnswer: -785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 8 = 3*f, -f + 2*f = 5*x - 12. Let g be (-58)\/(-2) + 1\/(3\/9). Let y be -31 + g - (6\/(-1) - 1). Solve -4*k - o = -13, o = x*k + k - y for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 539563192?\nAnswer: 539563199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**3 + l**2 - 3*l. Let d be k(-2). Let w(u) = 13 + 2*u + 12 + 61*u**2 - d. Is w(1) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4191*d**2*l**2 + 8*d**2*l - 21*d**2 + 11*d*l**2 + 10*d + l**2 - 9*l wrt l.\nAnswer: 8382*d**2 + 22*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 1 - (-5 + 6 - -2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9063 + -9068. Suppose 3 = -3*p - 3. Which is the closest to p? (a) n (b) -2\/3 (c) 0 (d) 0.21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 29, 32?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-175592)\/(-99640) + (-4)\/(-106).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**4\/5 - 604*u**3\/5 + 38856*u**2\/5 + 966256*u\/5 - 4448576\/5 = 0?\nAnswer: -22, 4, 142, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 2484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3449 divide 126019562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-35)\/84)\/(0 + 15\/6).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 520516466?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 0*i + 0*i**2 - 4\/3*i**3 + 21\/4*i**4 - 34. What is the third derivative of t(a) wrt a?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.3 (b) 1 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.3 - -9. Let k = -39 - 15. Let f = k + 64. Which is the biggest value? (a) -2\/5 (b) 0 (c) r (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -188*j**2 - 12784*j - 60. Calculate t(-68).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1395\/(-36))\/(729\/(-36) + 19)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/23? (a) 5\/2 (b) -0.9 (c) -1\/7 (d) -5 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - 0.2. Let x = -95\/518 + 3\/74. Which is the third smallest value? (a) o (b) x (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-49)\/(-14)*(-8 - (-260)\/35). Put 4, r, 8, 0, 1 in descending order.\nAnswer: 8, 4, 1, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11870 and -7?\nAnswer: 83090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1731265 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50 - -206. What is the greatest common divisor of 12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 99, 424, 935, 1608, 2419, 3344, 4359?\n\"Answer: -4*g**3 + 117*g**2 + 2*g - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 6*f - 1. Let y be z(1). Suppose b + 52 = 2*t + 2*t, 3*t + y*b - 62 = 0. Differentiate -2 - 10*g + 2 - t wrt g.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/(sqrt(4) - sqrt(4)*2) - (2*sqrt(11) + sqrt(11) + sqrt(11) + sqrt(11) + 0))**2*-3.\nAnswer: -1188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.359 + -0.269. What is the second smallest value in 3, s, -0.16?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.637 rounded to one dp?\nAnswer: -22.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -9*v**3 + 3*v**2 + 5*v + 11. Let b = -139 + 142. Let l(d) = 2473*d**b - 6*d - 16 - 4*d**2 - 2460*d**3 - d. Determine -5*l(j) - 7*x(j).\nAnswer: -2*j**3 - j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(-15)*-3 + 8\/2. Let f = -1282 + 1284. Solve 5*a - 26 = -f*r, q*r - 1 = 2*a - 0*r for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -21\/2. Let k = -4.652 - 0.348. Sort 0.1, t, k.\nAnswer: k, t, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (0 - -3) + (-884)\/(24 - 41).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 76.45 + 1.55. Let y = -84.4 + s. Let i = -6 - y. Is -1\/4 at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 795?\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*1\/(-4)*2. Solve -3 - 1 = f*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 645 and 72595.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2024 divide 1897897632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5.7 and -0.008?\nAnswer: 5.692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) 47 (c) -1\/281\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(26\/4)\/((-2)\/(-76)). Let z = o - 207. Calculate the remainder when 74 is divided by z.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (5 + -9 - 12 - -5).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -72 - -74. Suppose -73 - 540 = -4*g + 3*h, 2*g + l*h = 296. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -203903*v**2 - 343168 wrt v.\nAnswer: -407806*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 2)*(-5*b + 4*b - 2*b) as m + g*b and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1583621468 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*z + 15*z = -53130. What is the highest common factor of 15 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 8*j = 195. Let x(h) = h**2 + 2*h - 1. Let d be x(8). Suppose 4*f - q = d, -4*q = -f + 6*f - 125. Calculate the remainder when j is divided by f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (245 - 33*w - 245)*(3*w - 3*w + w**2) - 5*w**3 + 4*w**3 + 0*w**3.\nAnswer: -34*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + (sqrt(26) - sqrt(2600)*-2)\/(sqrt(8) + sqrt(72)) + -4).\nAnswer: -20 + 105*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from nnezznjeezbnnnnnenn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 11) to base 3.\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*(-140)\/(-120) + (-20 - -1)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in 4.1, 0, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7006 is divided by 41.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + n - 5*z + 26 = 0, 5*n - 19 = -z. Suppose 22 = -n*h + 190. Suppose 15 = a - 4. Calculate the remainder when h is divided by a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24150352?\nAnswer: 2, 59, 25583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55709 and 1411?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s**(2\/15)*s*s)))\/s*s**(3\/17))\/((s*s**(2\/7))\/(((s\/(s\/s**11))\/s)\/s)) assuming s is positive.\nAnswer: s**(16108\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - b**2 - 4*b**2 - 2 + 2*b + 2*b**2 as w*b + k*b**2 + n and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ijcc when four letters picked without replacement from {c: 2, j: 5, i: 6}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 111 + -126. Suppose 0 = z - 349 + 344. Let s = 9 - 6. Put s, c, z in increasing order.\nAnswer: c, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 48319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -359 + 362. Suppose -4 + 0 = -2*a. Suppose -a*w + 788 = -z*i, 5*i = -w + 4*w - 1181. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 2197 - 2053. Suppose -u + 1037 = 2*b - i, 1887 = u - 3*b. Suppose -422 + u = 5*y. Is y 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 pppppppppp. What is prob of picking 3 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 27, -6\/13, 9.9, -0.3, -1\/4, -2\/11?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3\/2, -36, 4, 1, -3\/4 in decreasing order.\nAnswer: 4, 3\/2, 1, 0, -3\/4, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152010046 is divided by 1010.\nAnswer: 1006","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 283451880 by -275196.\nAnswer: -1030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -640.1028 and -0.05.\nAnswer: -640.1528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 10, q: 3, n: 1, d: 4}. Give prob of sequence kk.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -87387831*11\nAnswer: -961266141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 235951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5448789 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: Calculate prob of picking 2 t and 1 c when three letters picked without replacement from rctrtctrrt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 15 = -165. Suppose 0 = 51*i - 56*i - 100. What is the lowest common multiple of 7*((-90)\/(-175))\/((-4)\/i) and v?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -783 - -781. What is the smallest value in 3, -5.6, g, -3\/5?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b. Let p = 112 - 74. Suppose -5*n = 5*h - 0*h + 55, -p = 4*h + 2*n. Determine g(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 - 21 = 3*w - 4*q, 4*q - 40 = -7*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(266) + sqrt(266) + 5*sqrt(266)*1 + sqrt(266) - sqrt(266))\/(-6*sqrt(63)))\/((1*sqrt(18) - sqrt(200)*-3)*-1).\nAnswer: 7*sqrt(19)\/594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-30)\/3 - 39696\/(-3840). Let w(s) be the third derivative of 0 + 17*s**2 + 1\/6*s**3 + 3\/8*s**4 + 0*s + h*s**5. Determine z, given that w(z) = 0.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -3 + (0 + 2 - -95)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 - 25.19. Let m = u - -0.05. Sort 0.1, m, -1 in decreasing order.\nAnswer: 0.1, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 5*l - 2. Suppose 0 = l*y + y + 5*u - 22, 2*y + 4*u - 16 = 0. Let v be 23\/5 + y\/10. Solve -4*t + v*m = 7, -t = m - 6 + 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y. Let g = -160 - -164. Let s(a) be the second derivative of 0 - 1\/4*a**g - a + 0*a**2 + 0*a**3. What is d(s(x))?\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 62*g - 65*g - 9, 5*f + 217 = g. Sort 23, 5, f in ascending order.\nAnswer: f, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 71, 106, 141, 176?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(550) - (-3*sqrt(550) + sqrt(550)) - sqrt(22) - sqrt(88)\/sqrt(4)*1)\/(6*(sqrt(160)*1)\/sqrt(5)).\nAnswer: 13*sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 3. Let s = 60 + 48. Suppose 5*m = -b + 36, -s = -2*b - b - 4*m. Solve -4*h + b = -5*n + n, 0 = -j*h - 5*n - 13 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 131*z + 138. Let o be i(-1). Let f(p) be the first derivative of 1\/2*p**2 - 1\/3*p**3 + o*p - 10. What is f(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 475*z**2 + 26*z + 30. Let n(w) = -237*w**2 - 12*w - 14. Let q(k) = -6*b(k) - 13*n(k). Let u(j) = 12*j**2. Calculate q(u(a)).\nAnswer: 33264*a**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 115 - 115. Suppose 6*i + 13 - 43 = b. Solve 3*g - 40 = i*l - 15, 5*g + 4*l = -20 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -15101, -30608, -46523, -62846, -79577?\n\"Answer: -204*c**2 - 14895*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*i - 13*i - 9*i - 18*i - 1044*i**2 + 55*i to the form n + x*i**2 + v*i and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + sqrt(11)*2).\nAnswer: -6 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(726)*-3)\/(sqrt(9)\/(sqrt(3)*2 - sqrt(3))*1) + 4.\nAnswer: -99*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2001*j + 619*j - 131000 = 0 for j.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, 2\/3, -29, -0.3, 0 in descending order.\nAnswer: 2\/3, 4\/7, 0, -0.3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of x**5\/690 - 3*x**4\/92 - 120*x**3\/23 + 7749*x**2. What is k in w(k) = 0?\nAnswer: -15, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (18 - 19 - 13).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 79.0504 + -79. Let j = -0.5364 + c. Round j to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 727304 and 3128360?\nAnswer: 3176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5940 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: Suppose -2*q = -242*u + 245*u - 119103, 3*u - 119088 = 3*q. What are the prime factors of u?\nAnswer: 3, 11, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 65?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46344 and 2664?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33212)\/(-8664) + (26\/(-6) - 0)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5175 and 636732?\nAnswer: 15918300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 14965 and -0.39.\nAnswer: 14964.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 13. What is the least common multiple of s and 54\/(-1 + 10) - 0?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 436*m - 19969. Calculate t(384).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18888100 divided by -3388.\nAnswer: -5575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 110 (b) -0.02 (c) -791\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -209, -1065, -2955, -6263, -11373, -18669, -28535, -41355?\nAnswer: -57513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 27 = 7*x - 14, 0*x - x + 6 = -4*x - 3*f for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**5\/13 - 8*u**4\/13 - 4*u**3\/13 + 24*u**2\/13 + 18*u\/13 = 0. What is u?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3\/10)*v)\/(v*v**(-1)))**39\/((v\/v**(-1\/6)*v**3)\/(((v*v**6\/v)\/v)\/(((v**1\/v)\/v)\/v))) assuming v is positive.\nAnswer: v**(452\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -483*z + 4778. What is t(10)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -496a1 + 5?\nAnswer: -49698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3}. What is prob of sequence ooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2394 divided by -19.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -205.193 - -205. Let o = h + -3.807. What is the closest to 2\/3 in o, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q - 661 - 59 = 0. What is the highest common factor of 440 and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 692611 and -0.5.\nAnswer: -346305.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 20. Which is greater: -94 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 0.1, -3\/7 in decreasing order.\nAnswer: 12, 0.1, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38\/152)\/(8\/(-416)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6 + -0.3. Let a = 5.6 + -6. What is the second smallest value in -1, a, n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1871722 is divided by 61.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.2 - -50.8. Let f = 23 - k. Let p = -37 - f. What is the closest to -0.6 in 1\/7, 3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -45, -180, -405, -714, -1101, -1560?\n\"Answer: v**3 - 51*v**2 + 11*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*g + 31350 = 5*g, -g = 2*q - 12541. Is q\/17 + (-4 - 2*-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*u = -0*u + 2, 5*u = 5*q - 25. Let f(k) = -2*k**2 - 9*k**3 + 2*k + 11 - q*k - 10. What is the tens digit of f(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -g**2 + 2*g - 2. Calculate the lowest common multiple of 48\/20*10\/4 and i(-6).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1761, -1827, -1943, -2115, -2349, -2651, -3027?\nAnswer: -3483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (-6)\/5*(-50)\/(-15). What is the closest to -1 in w, 1\/12, 0.1?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 790 - 790. Put -16, 4, -3, g in ascending order.\nAnswer: -16, -3, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*h - 12 + 12)*((1 + 0 + 0)*(-2*h - 26*h - h) + 12*h + 2*h + 5*h) as f*h + b*h**2 + i and give b.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7\/(35\/6))\/(3\/10). Let j(l) be the third derivative of 0 + 1\/24*l**r - l**2 - 1\/3*l**3 + 0*l. Differentiate j(v) wrt v.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108439+-31171037\nAnswer: -31062598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 2\/19, -1 in descending order.\nAnswer: 2\/19, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen fifths of a millennium?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, y: 3, r: 1}. Give prob of picking 1 q and 1 y.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 279.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 5*i**2 + 2. Let r(z) = 6*z**2 - z**2 + 4 + 4*z**2. Let w = 19 - 12. Determine w*v(n) - 4*r(n).\nAnswer: -n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of 13*k**3\/6 + 28*k**2 + 6*k + 13. Let v be c(-4). Let a(h) = -h**2 + h + 11. Give a(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93114, 186279, 279444, 372609, 465774?\nAnswer: 558939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m - 81 = 17*m. Suppose 96 = -19*k + m*k. Calculate the least common multiple of k and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -78 - -78. Let c be 12\/(-9) - (-3)\/9. Let a be 1*(-2 + (2 - c)). Which is greater: f or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -432 + 1043. Let j = f - 240. Is j a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374731 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.1010778 years?\nAnswer: 0.01010778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 5:16 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/8)\/((-1)\/2). Let p = 255\/4 - 64. Which is the closest to t? (a) -0.3 (b) p (c) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -140*u + 27. Let d be ((-8)\/2*(-6)\/8)\/(-1). What are the prime factors of i(d)?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70199022389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 4*q + 5. Let b be (-1 - 1) + (4 - 0). Let s be (-2 - 4\/b) + -1. Calculate the remainder when 38 is divided by y(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2834709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2544958 divided by 13\nAnswer: 195766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5*v + 2. Let p(u) = 21*u + 9. Let z(m) = -9*n(m) + 2*p(m). Let o(c) = -5*c. Give o(z(s)).\nAnswer: 15*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 208 - 15. Let u = -138 + y. What are the prime factors of u?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -623.7 + 505. Let y = a + 157. Let t = 38 - y. Which is smaller: t or -7\/4?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34333 and 294937.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 2\/9, 2\/35, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -59?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 2*r - 1. Let p be b(3). Let k be (8\/(-6) - -2)*-3. Put p, k, -1 in decreasing order.\nAnswer: -1, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/752 and 103\/1034?\nAnswer: 8272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6*u - 32. Let w(h) = 5*h - 31. Determine -4*c(o) + 5*w(o).\nAnswer: o - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y**2 + 2 - 2)*((-5 + 2 + 2)*(-4 + 2 + 0) - 3 + 25 - 4) in the form s*y + i*y**2 + c and give i.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m - m - 5*m)*(7*m**3 - 98 + 98) - 3*m**4 - m**4 + m**4.\nAnswer: -10*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 537890 and 183?\nAnswer: 98433870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -114822682*a**3 - 51*a**2 - 34*a - 1597 wrt a.\nAnswer: -688936092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89 + 88 = i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/11, 0, 5, 4, -45, 3, 311?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - 1)*765\/(-75). Let r = 69 - w. Calculate the remainder when r is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1023 = -7*i + 2*i - 3*p, -3*i + 611 = -p. Suppose 2*h - 78 = 2*d, -d - d = -5*h + i. List the prime factors of h.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/2, -25, 0.039, 1.3, -4\/11?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2601 - -2602. Solve 5 = -2*x + z for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 34\/1031?\nAnswer: 34\/1031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 142*x - 17. Let o be i(11). Suppose 0 = 5*k - 2*v - 1020 - o, -k + 500 = -3*v. Suppose -k = -4*z + 249. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -21*g. Let f(o) = o**2 - 2*o. Let b(t) = 4*t**2 - 7*t. Let c(n) = -4*b(n) + 14*f(n). Calculate z(c(d)).\nAnswer: 42*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10654606*d**6 + 2*d**2 - 4796349?\nAnswer: 1278552720*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**3 - 4*q**2 + 14*q + 63. Let m(b) = b**3 + b**2 - b - 2. Let d(s) = -f(s) - 4*m(s). What is the first derivative of d(x) wrt x?\nAnswer: -18*x**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 8 - 7 = 0. Suppose -3*i - c*i = -160. What is the remainder when 26 is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2\/2 - 9708*t - 3448755\/2.\nAnswer: 3*(t - 6645)*(t + 173)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 1066296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 125 and 1423375?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 416514?\nAnswer: 2, 3, 7, 47, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 3*d + 3. Let v be h(3). Suppose v*c = -364 + 25. Let k = 164 + c. What is the highest common factor of 17 and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 2 + 3. Suppose 0 = -j*l + 4*l + 33. Let n be (-1 - (-33)\/27) + (-1372)\/(-63). Calculate the highest common divisor of l and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32422671 - -7.\nAnswer: 32422678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -6329, -1 in decreasing order.\nAnswer: -1, -6, -6329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z*z**19)\/z)\/(z**(-2\/51)*z))\/(z*z*z*z**(1\/8))**35 assuming z is positive.\nAnswer: z**(-36857\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 1 + 19 = 0. Let o be i\/(4\/(7 + -3)). Suppose 12 = b - s, -2 - 2 = b - o*s. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -20. Let t = 5 + -2. Let n = z - t. Which is the third smallest value? (a) n (b) 1 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 507912 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3*r**4 + 18*r**3 + 2*r**2 - 5*r**4 - 2*r**3 + 1 to the form i*r + x + d*r**2 + w*r**3 + g*r**4 and give w.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0, 66, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 212498 and 2002.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 161876234?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 168, 372, 666, 1056?\nAnswer: 1548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 109\/793 - -1\/61. Suppose 5*s = 2*s - 6. Which is the second smallest value? (a) -1 (b) s (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 22) + (265 - 205) - 7\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -63 - -64. What is the units digit of -2 + -4 + 5 + z + 145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, c: 1, w: 3, r: 1}. Give prob of sequence vvv.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cvvc when four letters picked without replacement from {v: 5, c: 7}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20638954 by 4.\nAnswer: -10319477\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 29752286981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -432 - -427. Which is the smallest value? (a) 0.4 (b) r (c) 0.3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d*s**4 - 7852*d*s**3 - 1194*d*s + 7*s**4 - 31514*s**2 wrt s?\nAnswer: 48*d*s - 47112*d + 168*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34795 and 10?\nAnswer: 69590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -9*t + 8*t. Let j = t + 14. Let b(w) = 2*w**2 - 6*w - 13. Calculate the remainder when b(j) is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*t + 2*t - 12*t)*(-3*t**3 + 5*t**3 + 4 - t**3) in the form y*t**2 + i*t**4 + r + q*t**3 + z*t and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (341\/(-2046))\/((-2)\/(-228))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*5*(28\/(-10) + (-1224)\/(-765))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (301\/105 - 3)*-3\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3148 and 41059364?\nAnswer: 3148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(128))*-4)**2 - ((sqrt(800) - sqrt(32)) + (-2 + sqrt(50) - sqrt(2))).\nAnswer: -788*sqrt(2) + 2194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1059313*y**4 - 2*y**3 + 2*y - 77597 wrt y.\nAnswer: 12711756*y**2 - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -176*f + 157. Which is smaller: f or 5\/473?\nAnswer: 5\/473","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**2\/y**(-1)*y**(1\/12)*y**(-3\/8))**45 assuming y is positive.\nAnswer: y**(975\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**3 + 5*f**3 - f**3 - 2*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-96 - -86 - (1 + -2)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -143, -153, -169, -191, -219, -253, -293?\n\"Answer: -3*h**2 - h - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*r**2*z**4 - 2*r**2*z**2 + 89*r**2 + 3*r*z - z**2 wrt z?\nAnswer: -228*r**2*z**2 - 4*r**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2\/125 of a millennium?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11785181.\nAnswer: 179, 65839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 153 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -177122 and -2.\nAnswer: -177124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-55)\/22*30\/375)\/((-2)\/116).\nAnswer: 58\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*b - 16*b = -52*b + 660. Let o(m) = -m - 6. Let k be o(-5). Let r be k\/5 - 1\/b - 0. Is 2\/73 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**3 - 2*a**3 - 3*a**3)*(0*a + 6*a + 6*a)*(3 + 2 - 2).\nAnswer: -72*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1372) + (-4*sqrt(1372) - sqrt(1372)))**2.\nAnswer: 21952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119)*1*-3)\/((sqrt(7) + sqrt(35)\/sqrt(5))*-2))**2 + 4 + (sqrt(17) + -3*(sqrt(17) + 2) - sqrt(204)\/(1*sqrt(12))).\nAnswer: -3*sqrt(17) + 121\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3760\/282*3\/(-5)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 2*x - 6*x - 2655, -2*x = 3*w - 1615. What are the prime factors of w?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -273*k - 5480*k**5 + 202136*k**3 - 202136*k**3 wrt k?\nAnswer: -109600*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 7:36 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 21022222 (base 3) to base 8\nAnswer: 12341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11180 divided by 2\nAnswer: -5590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 - 21. Let h be -2 - 37*2*-2. Suppose -h = -j*t - 14. Calculate the remainder when 33 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -118794 by 39598.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 1\/12*g**4 + g**2 - 5 + g**3 - 12*g. Let r(h) be the first derivative of y(h). Determine r(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 272920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, t: 1, o: 1, m: 1, h: 1}. Give prob of picking 1 t, 1 r, 1 o, and 1 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.52 + -3.48. Which is the nearest to -1? (a) 2\/21 (b) i (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 210377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 12*h + 21. Calculate the remainder when 17 is divided by n(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 853909 is divided by 1440.\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2154532 is divided by 307748.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 347860*i**3 - 193230*i**3 - 154622*i**3.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40944 = 2800*h - 45856 for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -1. Suppose x - 6 = -0*x - 4*z, 4*x - 38 = -2*z. Let h(q) = -q**2 - 2*q + 5. Determine x*o(g) + 2*h(g).\nAnswer: -2*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(51) - 2*sqrt(204)))\/(sqrt(3) + (sqrt(3) + (sqrt(75) - sqrt(3)) + sqrt(3))*4 + (sqrt(72)\/sqrt(3))\/sqrt(8)).\nAnswer: -9*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 6:49 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 188 - 271?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 11 = -6*f. Find the second derivative of -9*p + p - 26*p**f - 6*p**2 wrt p.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 288 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-23))\/g)\/(g*g**(2\/21)*g)*(g*g**(1\/10))\/(g\/g**18) assuming g is positive.\nAnswer: g**(8191\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 652742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.19, -0.02, 28397, -2\/21 in decreasing order.\nAnswer: 28397, -0.02, -2\/21, -0.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 33, -1\/5, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 7:55 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/45*(-13 + 1 + 2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + 0)\/((-2)\/(-2)). Suppose 17 + 3 = 4*r. Let n = r - i. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r - 7. Suppose -6*g + 18 = -12. Let z be o(g). Differentiate -z*b + 22 - 2*b + 4*b - 6*b with respect to b.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -121*g**5\/12 + 91*g**3 + 9*g**2 + 41. What is the derivative of b(n) wrt n?\nAnswer: -1210*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -70675*a**2*j**4 + 10*a**2*j - 802*j wrt j?\nAnswer: -848100*a**2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1311 (base 4) to base 8\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/6)\/(960\/400)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/3)\/i*(((i\/i**(3\/5))\/i)\/i)\/i*i*i assuming i is positive.\nAnswer: i**(-29\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 534 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52 + -29. Let r be n*2\/8*128\/(-6). Suppose -r = -18*w + 14*w. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and -173495.\nAnswer: -173495.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -146.69767 and 56.96.\nAnswer: -89.73767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -557*i*u**3 + i*u**2 - 656128*i + 4*u**4 wrt u.\nAnswer: -1671*i*u**2 + 2*i*u + 16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4903776 and 18.\nAnswer: 4903776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3171003 and -4.67.\nAnswer: 3170998.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21939368, -4, 2\/11.\nAnswer: -21939368, -4, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1693, 6791, 15289, 27187, 42485?\n\"Answer: 1700*l**2 - 2*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (34266\/(-152))\/(16\/(-128)*444) + -4 and 29\/6.\nAnswer: 4218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*a**5 - 425576*a**4 - 936356*a**3 - 170248*a**2 = 0. Calculate a.\nAnswer: -2, -1\/5, 0, 21281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of p**6\/72 + p**5\/4 + 15*p**4\/8 - 23*p**3\/6 + 17*p. Let r(q) be the second derivative of g(q). Factor r(f).\nAnswer: 5*(f + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1292632, 1292819, 1293006, 1293193, 1293380?\nAnswer: 1293567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*r - 20*r - 1488. Let v = r - 181. Find m such that m**3 + 1\/2*m**v - m**2 - 3\/2*m + 3\/2*m**4 - 1\/2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-2 - (-3 + 6) - -3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(12\/16) - -4. Solve 0 = -f + r + 5, r = 2*f - b*f - 8 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22001 - 10102201?\nAnswer: -10201202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -213 (base 7) to base 8\nAnswer: -154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -220730105 plus -0.44639?\nAnswer: -220730105.44639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*r**3 - 25*r**3 - 1 - 77*r**3 - 7*r**3.\nAnswer: -119*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314258744.\nAnswer: 2, 39282343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + 0 + 0)*(2 - 2 + 3)*(3 - 3 + 1)*(-5 + 2 + 2) - 4 + 4 - 3*u - u - 2*u + 0*u + (3*u - 5*u + u)*(-3 + 4 + 0).\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*o**2 + 2)*(-18*o**3 - 2*o**3 + 3*o - 2*o).\nAnswer: -40*o**5 + 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -49 and 1187.55.\nAnswer: -58189.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39 - -33. Is 175 - (-3 - k - 7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*l + 4*l + 20*l + 4*l.\nAnswer: 13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*n - 2*n. Let u(q) = q**3 - 3*q**2 + 2*q. Determine u(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7351.5 - -7352. What is the biggest value in k, -0.4, 3\/4, 3, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -13943\/116 = -121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -7\/338, -0.1 in descending order.\nAnswer: 5, 3, -7\/338, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 9:18 PM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 21*y**2 - 20*y + 11. Let w be f(-20). Suppose -8*i + w*i = 240. Suppose 2*v + 2*t + 38 = 4*v, -4*v + 5*t + i = 0. Solve v = p + 2*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -29071?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61994492.\nAnswer: 2, 7, 19, 116531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 1:11 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxxrrrxxyxrx. Give prob of sequence yy.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (55535\/25 + -5)\/(99\/330)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -45757? (a) 0.5 (b) 0.4 (c) -0.1 (d) 0 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express v**4 - 3*v + 6*v**3 - 4*v**3 + 0*v**4 as d*v**2 + u*v**3 + m + k*v + f*v**4 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -51*w**3 + 8956*w + 12*w**2 + 7320*w - 14963*w wrt w.\nAnswer: -306*w + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2*v + 25 = -61, -4*v + 10 = p. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 15*b - 15. Let r be (6\/5)\/(2\/(-10)). What is the remainder when t(r) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3870 + -3872. Sort a, 30, 118 in descending order.\nAnswer: 118, 30, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -151\/4 (b) -2\/9 (c) -110 (d) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 575, 916, 1257, 1598, 1939?\nAnswer: 2280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 n when three letters picked without replacement from nnnnnorvnnnoon.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4359838?\nAnswer: 2, 7, 239, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y**2 - 119*y - 69. What is l(-39)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -3*b + 3, 2*v + 2*b + 13 + 5 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 14 = -3*z, -4*z - 4*d + 0*d = -32. Let f be 13 - 14 - (1 + 0 - 5). Suppose i = 8*w - 6*w + 3, 0 = i - f. Solve w = g - z*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 10 = 2*b. Let i be (-64)\/112 - 80\/(-434). Let w = 177\/217 + i. Put 0, b, w in increasing order.\nAnswer: b, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - z**2 + 4*z + 4*z**2 + 3 + 0*z**2 as a + j*z + o*z**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*h - 25 = 0, 8*h - 11*h = -4*l + 5. Solve 0 = -n - l, -18*z + 17*z = 4*n + 21 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 849911329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 5*o = 50, 3*j + 0*o = 3*o - 12. What is the common denominator of j and 113\/1162?\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*w - 12*w + 7*w)*((0*w + 0*w + w)*(4 - w - 4) + 1 + 6*w**2 - 1 - 47*w**2 - 35*w**2 + 154*w**2) as u*w + v*w**2 + j*w**3 + t and give j.\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-244)\/(-6405))\/(-3*2\/(-15)). Which is the closest to -5? (a) 0 (b) 21 (c) -3 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/(-16))\/((6\/(-35))\/((-40)\/(-35)))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 6:16 AM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -29*v**3 - 3*v**2 - 8*v - 14. Let q(y) = -15*y**3 + y**2 - y + 2. Let n(k) = -j(k) + 2*q(k). Calculate n(5).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -7*w**2 + 6. Suppose 140 + 48 = -27*u - 20*u. Let k(d) = -3*d**2 + 3. What is u*z(a) + 10*k(a)?\nAnswer: -2*a**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.078 + -4.922. Suppose -2*d + 1 = -1. What is the nearest to d in 0.2, 5, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*3*sqrt(2)*2*-1 + 3*(3 + sqrt(18) + -3)**2.\nAnswer: -6*sqrt(2) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k = 2*p + 14, -2*p - 14 = -5*k - 0*p for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(2 + 519\/(-264)). Is q smaller than 88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 559546874 to the nearest integer?\nAnswer: 23655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*s = -12. Let q(k) = 6*k + 1. Let p = -17 - -18. Let d(v) be the third derivative of -v**4\/24 + 11*v**2 + 346*v - 1. Calculate p*q(m) + s*d(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 4*p + 6. Let t be s(2). Suppose -74 + 2 = -t*o. Calculate the remainder when o is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -14, 74530 in ascending order.\nAnswer: -14, -5, 74530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7272\/(-288) - 200\/(-8))\/(89\/8).\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 5*m**2 + m - 4. Determine d(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1282, 2310, 3324, 4324?\n\"Answer: -7*b**2 + 1049*b + 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 4, 10 = -3*z - 0*z + 5*v. Suppose -p - 16 = 2*c - 5, -3*p = -2*c + 1. Put -1, c, z in descending order.\nAnswer: -1, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence blc when three letters picked without replacement from {t: 6, l: 6, b: 1, c: 1, g: 2, x: 2}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/2*0\/(-3). Let t be -285*(-2)\/18*3. Suppose t = -13*w + 32*w. Solve r = 5*p - 5*a + 3 - 8, w*p = 3*a - 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*k - 274*k + 382 = -368 for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3\/19895?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1954 times -2012?\nAnswer: -3931448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24 and -2.2?\nAnswer: -52.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 112.1773 rounded to 0 decimal places?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nvk when three letters picked without replacement from {k: 2, v: 2, n: 6, u: 10}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -s**3 + 867*s**2 + 10771*s wrt s?\nAnswer: -6*s + 1734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.8, -42, -316971?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 297295*u**3 - 142551*u**3 - 147881*u**3 - 2*u**3 + 5*u**3 - 2*u**3 + (-4 + 1 + 1)*(0*u + 0*u + u**3).\nAnswer: 6862*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 1386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 3574?\nAnswer: -5\/3574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -172*x - 15. Let j(s) = -86*s - 7. Give 6*f(u) - 13*j(u).\nAnswer: 86*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45442880 and 2240?\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or -11300\/953?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -889997, -1780795, -2671593, -3562391, -4453189, -5343987?\n\"Answer: -890798*v + 801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 151*p + 11.\nAnswer: 151*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 5*y**2)*((y**2 - 2*y**2 + 0*y**2)*(3*y + 3*y - 7*y) - 4*y + 2*y**3 + 4*y + 3*y**3 - 4*y**3 + 4*y**3).\nAnswer: 30*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 5*h**2 - 13*h + 9. Let f be a(-7). Suppose t - t = -f*t. Suppose 0*g - 2*g + 32 = t. Solve -3*j = -4*j, -4*d = 3*j + g for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34032.51 millilitres to litres.\nAnswer: 34.03251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 1382*q**2 + 2. Let f(d) = -8*d. What is f(b(t))?\nAnswer: -11056*t**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.7 + -136538.\nAnswer: -136534.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20.6 + -21. Let a = -0.22 + -12.78. Let h = -9 - a. Sort h, -5, p in descending order.\nAnswer: h, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 2\/103 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000025031823 rounded to seven decimal places?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 0 - 6*y**2 + 0*y**4 + 1\/6*y**3 + 0*y + 0*y**5 + 1\/40*y**6. Differentiate u(i) with respect to i.\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 16) to base 4\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-4)\/(-6)*18 + 0 and 3*10\/(-18)*-6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-20 - -6) + 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -23. Let l(m) = -10*m + u*m**3 - 15*m**3 + 7*m**2 + 3*m - 1. What is l(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(4 + (-2 + sqrt(475) + 1)*3) + -5)**2*-5.\nAnswer: -192395 + 900*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 615989 and 957?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-91)\/(-975))\/((-154)\/(-220)) + 968\/(-60)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*((-1500)\/8)\/(-5). Suppose -v = -2*q + 139. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1307 is divided by 103?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hjyjlhujyjjjjd. Give prob of picking 2 y and 1 h.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1735665 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 88\/1311 + -555777\/874. Let f = g + 644. Calculate the common denominator of f and 51\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**1*z)**(-30))**5 assuming z is positive.\nAnswer: z**(-450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (40\/14)\/(36 - (-7112)\/(-196))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 456c17 (base 13) to base 10.\nAnswer: 1643207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1304 and 1304?\nAnswer: 1304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*o + 4*f - 10, 5*f = -2*o - 7. Suppose -2*j + 9 = 3*y, o*j - 3*j - 22 = -5*y. Solve 0 = 2*r - 5*q, 0 = -4*r + y*q - q - 12 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(135) - (2*sqrt(135)*6 - sqrt(135)))\/sqrt(9))\/(-1*sqrt(147)*5).\nAnswer: -12*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cr when two letters picked without replacement from {x: 3, a: 4, c: 1, r: 4, n: 2, l: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 1:25 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6736971091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s + 14. Let o be j(-6). Let v be 4\/6 - o\/(-6). What is the remainder when 35 is divided by (-3 - (v + 7))\/(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 41947*l. Let n(d) = 8515*d. What is f(n(p))?\nAnswer: 357178705*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/16? (a) 0.5 (b) 241\/2 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of p**4\/6 + 4*p**3\/3 - 5*p**2. Let c be s(4). Calculate the greatest common divisor of c and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**2 - 41*h - 188. What is g(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 181 + -172. Sort b, -5, -11, 3 in descending order.\nAnswer: b, 3, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*f**4*s**2 - 235*f**3 + f**2*s**2 + f - 74*s**2 wrt f.\nAnswer: -120*f*s**2 - 1410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 285777 + 25*p**3 - 285777.\nAnswer: 25*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qnm when three letters picked without replacement from mqmqqnm.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -33*d - 1226. Let l be i(-38). Solve 3*f = 5*c - 3*c - 21, -c + l = -5*f for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163660219?\nAnswer: 1231, 132949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 3*v - 1. Let i be f(-5). Calculate the greatest common factor of i and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 18*j - 25. What are the prime factors of k(8)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, g: 3, v: 1}. Give prob of picking 1 y and 1 v.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 8*o - 1. Let l(b) = -2899*b - 5. Determine l(c) - 3*s(c).\nAnswer: -2923*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -844 (base 9) to base 13.\nAnswer: -40c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 344688?\nAnswer: 2, 3, 43, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*x + 58 = 0, -4*a + 32 + 35 = 5*x. Let n = 9 - 4. Find the second derivative of -15*c + 91*c**2 - 91*c**2 - a*c**n wrt c.\nAnswer: -360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 378384?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -110, -450, -1022, -1832, -2886?\n\"Answer: -k**3 - 110*k**2 - 3*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 27.0006 millilitres?\nAnswer: 0.0270006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 7 + 0 + -1. Suppose 0 = -y - 5*k + 9, 2*k = 2*y + f*k - 9. Let p = y - 3. Is p at most 3\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-2)*q)\/q*q)**(-16)\/(q**(-5\/2)\/(q*q**(-8\/7))) assuming q is positive.\nAnswer: q**(33\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (6 - (24 - 8))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 132, 335, 642, 1059, 1592, 2247?\n\"Answer: u**3 + 46*u**2 + 58*u + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of g**5\/20 + g**3\/6 - 8410*g. Suppose -3*p + 0*p + 4*u + 6 = 0, 0 = 5*p + u + 13. Determine c(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 52 = -d - 108, -n + 6*n = -75 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 5. Let s = -3 - -3.1. What is the nearest to s in y, -3, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 - -93. Let c = o - -102. Calculate the highest common divisor of 13 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 143*d - 2386 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 21608.\nAnswer: -21607.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -71*j + 500. Give u(6).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(288) - 1*sqrt(288)) + sqrt(288) - sqrt(288)) - (3 + sqrt(32) + sqrt(32)*2 + sqrt(32)))**2.\nAnswer: 96*sqrt(2) + 521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 2, -2505, 2\/7, 0 in descending order.\nAnswer: 2, 2\/7, 1\/6, 0, -2505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k - 36\/7 + 2\/7*k**2.\nAnswer: 2*(k - 2)*(k + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 11:08 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180036435, -360072873, -540109311, -720145749, -900182187?\nAnswer: -1080218625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31826*l**3 + 15717*l**3 + 16111*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*v - 6 = 0. Suppose v*n + 2*n = 15. Find the second derivative of 92*p - 89*p + 2*p**n + 4*p**3 wrt p.\nAnswer: 36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r - r - r - 8*r + 45*r + 22*r + (-r + 0*r - r)*(-2 + 3 - 2) + r + r - r)*(-3 + 0 + 5).\nAnswer: 108*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 5033.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -123*u + 132*u - 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 322 + 602. Suppose -11*z + 17*z - r = 0. What are the prime factors of z?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -867*r - 397. Let m(o) = -2605*o - 1192. Let x(w) = -19*d(w) + 6*m(w). What is the derivative of x(s) wrt s?\nAnswer: 843","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 12:03 PM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) 0.03 (c) -0.2 (d) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 41740247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -376, 2, -4.\nAnswer: -376, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4 = 5*l - 4*l, -5*q + 4 = 3*l. Solve 0 = -26*j + 44 + l for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, w: 6, q: 7}. What is prob of sequence qwqw?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -262 less than or equal to 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 74580454 >= 74580454?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 414 + -305. What is the greatest common divisor of k and 2289?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 16 = -4*x. Let h be 1\/1 - x - -1. Suppose -2*u + 2*l = -18 - 42, -2*u = -h*l - 48. Is 17 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58 by 1.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.25 - 158.\nAnswer: -158.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 8. Let u = i - 8. Put -1, u, -2 in decreasing order.\nAnswer: -1, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 6044012?\nAnswer: 6044017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 e when four letters picked without replacement from lllelllelell?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 32020 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 8:54 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 97?\nAnswer: -1\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 9 = 2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 167, 157, 123, 53, -65?\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 34. Let v be (-3)\/(-8 + (-1827)\/(-225)). Let g = v - b. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 5340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -15. Suppose -3*l = -m*l. Which is smaller: l or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*f - 2. Let o = f - -4. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7)*2*1)**2 - sqrt(7))*-6*-6.\nAnswer: -36*sqrt(7) + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 131*l**3*m**3 + 906431*l**3*m + 275652*l**3 - 223*l wrt m.\nAnswer: 393*l**3*m**2 + 906431*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -268 - -268.0547. Let a = i - 0.053532. Round a to five dps.\nAnswer: 0.00117","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 12. Let y(f) = -f**2 - 9*f - 4. Let g be y(-6). Let n = g - h. Solve n = s + 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 932018 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 9*l**2 - 7*l - 46. Let p be (-2 + -5 + -5)\/(-2). Let c be t(p). Solve -4*q - 2*f = c, 5*f = -2*q + f - 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-7 + 3)) + -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14a5 (base 15) in base 5?\nAnswer: -120210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101, 81, 497, 1141, 2007?\nAnswer: 3089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -5.45\nAnswer: -21.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/14, -51.64, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 2:35 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 100*g**4 + 523*g**2.\nAnswer: 2400*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 22, -2, 23 in ascending order.\nAnswer: -2, 4, 5, 22, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 264708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*f - 5*x, -21*x - 3 = -f - 18*x. Solve 15*k = 18*k + f for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 7.1. Let r = -1.9 - p. What is the second biggest value in r, 2, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 58448.1403 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*m - 5, 0 = -3*q + 2*m + 31. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 276036 to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 22*f**2 - 56*f + 17. Let y be c(-19). Let o be -2 + (y - -8) + (6 - 7). Solve -o*p + 9*p = -30 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -6.1468?\nAnswer: 6.1468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000321876302 rounded to seven dps?\nAnswer: -0.0003219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 119694\/13 greater than 9207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/234 and -179\/3120.\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence svs when three letters picked without replacement from {v: 1, f: 1, s: 13}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48 - -50. Solve 0 = w + n*b - 12, -b = w - 11 + 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j = 129 + 75 - 8. Solve 2*q = 4*b - 0*q - j, -4*q = 3*b - 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53524, 53496, 53458, 53416, 53376?\nAnswer: 53344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 11:39 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1752.04 to the nearest one hundred.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -3. Suppose 5*u = 3*b, -13*b - 35 = -9*b + 5*u. Sort 3, b, -3, n in increasing order.\nAnswer: b, -3, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uz when two letters picked without replacement from {z: 7, u: 9}.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 6:33 PM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) 1.1 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.26 - 9.26. What is the fourth biggest value in -2\/25, j, -0.1, -0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/1408 and -33\/160?\nAnswer: 7040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23.7 + -23.799. What is i rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-13) + 347029\/4490759. Is q not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -5*b**3 + 47*b**2 + 1220*b - 11905. What is c(10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - i + 6 - 15 = 0, -3*w + 2*i = 18. Let z = 7\/12 - 1\/3. Let s = z + 1\/4. Which is the third biggest value? (a) 1 (b) s (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 309494000 to the nearest 1000000.\nAnswer: 309000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2216*g - 19. Let x(h) = h + 24. Determine f(x(v)).\nAnswer: 2216*v + 53165","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 + 22888*j + 275232.\nAnswer: -4*(j - 5734)*(j + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*p + 15 = 0, -o - p + 2 = 0. Suppose 5*q + 6 + 3 = 3*g, -g + 17 = 3*q. Suppose 5*x - x = -g. What is the nearest to o in 1, -4\/9, x?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p - 2. Let v(d) = d - 1. Calculate the smallest common multiple of v(3) and n(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -202313 (base 4) in base 2?\nAnswer: -100010110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, -12, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.192 - 23.608. Let f = p - -23.800133. Round f to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(0 + 0 + 3)*(4 + m - 4).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3660*p - 134*p + 2 + 18*p)*(p + p - p).\nAnswer: -3776*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -13*j + 6*j - j + 1 + 25*j + 36*j. Let f(d) = -2*d**2 - 21. What is f(a(q))?\nAnswer: -5618*q**2 - 212*q - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15584885 is divided by 76.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 9*o**2 + o + 5. Let v(u) = -18*u**2 - 2*u - 11. Determine 5*d(m) + 2*v(m).\nAnswer: 9*m**2 + m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 - 1. Let n = 34 + y. Which is the nearest to n? (a) 5 (b) -4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*o**5\/15 - 3388*o**4\/15 - 36758*o**3\/15 - 161596*o**2\/15 - 275264*o\/15 - 147136\/15 = 0.\nAnswer: -19, -44\/7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23595*u**4 - u**3 - 7*u**2 - 8246134 with respect to u.\nAnswer: 94380*u**3 - 3*u**2 - 14*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.6 (b) -3 (c) -2\/3 (d) -5\/4 (e) 34\/59\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + -3. Let d(k) = k**2 + 5*k - 2. Let g be d(x). What is the third derivative of -4 + g*z**2 - 3 + 7 - 5*z**4 wrt z?\nAnswer: -120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/8*(-20)\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -4*r - 1767227, 1006*s - 5*r = 1010*s - 1413757. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 724796?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 102004 + 15?\nAnswer: 102021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285 + 1449 = 271*b - 47 - 116 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -528*o - 9400. What is the ten thousands digit of v(-101)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 71 (b) -3.54 (c) -2 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003924 to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7790 to the power of 1\/2, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hlyylhlmhlml. Give prob of sequence hyl.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21 minus 39?\nAnswer: -39.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 2256 + 2220 = 0 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -b5621 (base 13) to base 12\nAnswer: -138931","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -63657, -0.5 in ascending order.\nAnswer: -63657, -3, -0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 129360771143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 2*y, -q + 2*q + 4 = 3*y. Suppose 3*a - 8 = -a. Suppose -a = 3*n - 8. Is n at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*d**4*i**2 + 10*d**3 - 3*d*i**2 + 2*d*i + 12 wrt d.\nAnswer: -144*d**2*i**2 + 60*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5357346, -5357294, -5357242, -5357190, -5357138, -5357086?\nAnswer: -5357034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3284*l**2 + 633876*l + 12352 = 0 for l.\nAnswer: -193, -16\/821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0079 times -15100?\nAnswer: -119.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - j - 7*j = 0. Suppose v = -4*v + 5*k + 15, j = -5*v + 2*k. Is (-9 + -245)*(3\/2 + v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/28 and 79\/284?\nAnswer: 1988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7535.187us in days?\nAnswer: 0.0000000872128125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1082 - 635. Calculate the remainder when o is divided by 151.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 91*u + 1161*u - 333 + 164 + 169 to the form r*u + b and give r.\nAnswer: 1252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5179690877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -12*i**3 + 39*i**2 + 166*i - 409. Calculate b(5).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51 and 45271?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-74)\/7400*-325?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 95.64 - 75.64. Which is the closest to -0.5? (a) v (b) -4 (c) -0.4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 181.918811 to 1 decimal place.\nAnswer: 181.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 192*t**3 - 10*t**2 + 44*t + 1823418 wrt t.\nAnswer: 576*t**2 - 20*t + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*(-1 - -3)*-1. Let n = 4 + t. What is the remainder when 1 is divided by n\/(-8) + (-1)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346 + 370 = 4*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*t - 65. Suppose 4*c - t = -3*q, q - 5*c + 0*c = -21. Let p(s) = 16*s**3 + s + 1. Calculate p(q).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 273*z - 232. Let n(h) = -6*h**2 - 1350*h + 1160. Let f(c) = 3*n(c) + 14*s(c). Find u, given that f(u) = 0.\nAnswer: -58, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 c when three letters picked without replacement from wbbvbfvcbccbv?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -331 + 329. Which is the nearest to u? (a) 1 (b) -94 (c) 2 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 2:31 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1500651 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of g**8\/5040 + g**7\/2520 + g**3\/3 + 4*g**2. Let u(m) be the first derivative of n(m). Suppose u(r) = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 5*f + 3*f - 14010, 2*b + 13980 = 4*f. Let v be b\/(-2)*(-1200)\/2. Round v to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6e0ae + a?\nAnswer: 6e0b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-5)*15\/6. Suppose -h*g = -g + 8. Let j(y) be the first derivative of -y**2 - 2*y + 3. Give j(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 + y - 1. Let z = -50 + 48. What is x(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -620.\nAnswer: -3\/620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51369?\nAnswer: 3, 17123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 49*z**3 - 2*z**3 - 24*z**3 + (0*z + 2*z - z)*(-4*z**2 + 3*z**2 - z**2) - 5*z + 5*z + 3*z**3.\nAnswer: 24*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 9 + -1 + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 17 - 25 = -s, 5*s = 3*b + 141. Suppose -91 = -3*c + 11. Let x = c + -18. Calculate the remainder when s is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5137 - -4 - (-24)\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -38*v**2 + 10*v + 14. Let q(b) = 13*b**2 - 3*b - 5. Let d(h) = -5*m(h) - 14*q(h). Find the second derivative of d(p) wrt p.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 720 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(28\/66)*21. What is the greatest common factor of k and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4945 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 divided by -4?\nAnswer: 51\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/27 (b) -29 (c) -2.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2309 times -3\nAnswer: 6927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -67, -0.3, 2, 15, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-3)\/(-9)*(-5)\/(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 (base 6) in base 13?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of 4*m**2 + 15*m - 12. What is the first derivative of h(g) wrt g?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of l**3\/3 - l**2\/2 + 3*l - 12. What is the units digit of s(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 6*n**2 + n + 9. Let r be k(-6). Suppose -2*q + 29 = 1. Let w = q - 10. Solve -w*b - r = 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 34\/11 (b) -2 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.822334885 rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305275 is divided by 61055?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2221002 + -200202?\nAnswer: 2020100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from johhhzw. What is prob of picking 2 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 9*c - 30 = 5*u, 3*c + 22 = -5*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*m + 10 + m**2 - 10 to x*m + v + r*m**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -1\/4 (c) 30.4127 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8916 is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448)*1*-4 + 0 - (sqrt(448) + 5 + -1 + sqrt(448) + sqrt(448) + -2)) + 2)**2.\nAnswer: 21952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d + 20, 4*d - 1339 = -2*z + 6*z - 1243 for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -78*k + 1331. Let h be f(17). Let a(l) be the third derivative of 0*l**4 + 12*l**2 + 0 + 0*l**3 + 0*l - 1\/180*l**h. Suppose a(t) = 0. Calculate t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o - 4. Let p be d(-6). Suppose 2*j - 126 = -2*a - 50, -4 = -p*j. What is the derivative of a + 2 + 2*f - 8 wrt f?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**3 + 4*r**3 - 4*r**3 + (3 - 3 + 2*r)*(2*r**2 - r**2 + r**2) - 18*r**2 - 4*r**3 + 18*r**2 + (2 - 2 - 1)*(r**3 + 2*r**3 - 5*r**3).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(880) + (-3*sqrt(880) - sqrt(880))))\/(sqrt(5)*1*3 + 1*sqrt(405) + sqrt(405)).\nAnswer: -16*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110574 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6483 (base 10) to base 2.\nAnswer: -1100101010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 4*k**2 + 2*k + 2. Let w be o(-5). Let m = -12 + w. What is the first derivative of 3*t**3 + 3*t**3 - m*t**3 + 2 wrt t?\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/81900 and -19\/6552.\nAnswer: 163800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136454*t - 264293*t - 400340*t - 1368431*t.\nAnswer: -1896610*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p - 29 = 15*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.1540828 nanograms?\nAnswer: 0.0000000000000001540828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.1 - 0.1. Let k be (4 + (-80)\/25)*3\/(-6). What is the nearest to o in k, 1, -2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4841856 by 288.\nAnswer: -16812","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 9 = 3. Let h(r) = -5*r**3 - 21*r**2 + 30*r - 9. Let g(c) = -3*c**3 - 11*c**2 + 16*c - 4. Let f(v) = -7*g(v) + 4*h(v). What is f(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, u: 10, t: 4, x: 3}. What is prob of sequence tut?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -447, -895, -1343, -1791, -2239, -2687?\n\"Answer: -448*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -193\/987210 and -49\/398018.\nAnswer: 125375670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21121101202 - 12?\nAnswer: -21121101221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -101*a**3*m**3 + 4881*a**3*m + 4570678*a**3 with respect to m.\nAnswer: -303*a**3*m**2 + 4881*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/3 - 2424814*k**2\/3 - 734961729590*k\/3 + 734969004050.\nAnswer: -2*(k - 3)*(k + 606205)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 459 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.495 rounded to one dp?\nAnswer: -13.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xrrdddfdfddxddxf. What is prob of picking 1 r, 1 f, and 2 d?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.63 - 1.27. Let v = 0.6388 + s. What is v rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13481, -26328, -39175, -52022?\n\"Answer: -12847*m - 634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -p**6\/6 + p**5\/10 - 31*p**4\/2 - p**3\/3 + 10*p - 7. What is the third derivative of l(i) wrt i?\nAnswer: -120*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 320516048?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1211011122 (base 3) to base 8\nAnswer: 106006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000875081 to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 296\/9*t + 2\/9*t**2 + 10952\/9.\nAnswer: 2*(t + 74)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -30*z**3. Let f(n) = 70*n**3 - 233*n**3 + 86*n**3 + 17*n**3. What is 4*f(w) - 7*u(w)?\nAnswer: -30*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.612 plus 152250374556?\nAnswer: 152250374556.612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1270\/1778 - (-2)\/(56\/(-524)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**2 + 2*a - 1. Suppose 0 = 4*q + 4, n = 2*n + 5*q + 7. Let f(j) = j**2 + 3*j + 2. Let l be f(n). Suppose 4*m = -l*m + 8. Give x(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = -2*h - h + 210. Calculate the greatest common divisor of h and 345.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g**2 - 16*g - 12. Determine x(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 9*t**2 + 10*t + 1. Let m be g(-10). What is the units digit of (m + -1 - 1) + 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.02 - 0.02. Let s = j - 12. Let r = s - -6. What is the third smallest value in 2, 2\/13, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 84 = f - 50, f - 5*p - 16 = 0 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22a13 (base 14) to base 9.\nAnswer: -137563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5546713 - 4*s + 5546713.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(98) + 1)*3*6*6)**2*5.\nAnswer: 7348320*sqrt(2) + 51963120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) - (sqrt(114) - (sqrt(114) + 1*sqrt(114)))*5) + sqrt(114))\/(sqrt(36)\/(sqrt(12)\/sqrt(2))) + 4.\nAnswer: 4 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 1:07 AM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 0*h + 0*h + 3 - 3*h**3 + 2*h**3. Let i be d(0). Let a be ((-60)\/20)\/(6\/(-8)). Solve i*z = a*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus -358?\nAnswer: 357.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**3 + 4*j**2 - 2*j. Let v be l(2). Let z be -2*2 + (-8 - v). Let u(i) = -i - 2. Let n be u(z). What is n rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 884\/(-544)*224\/25480.\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m**2 + 198*m - 411. Give k(-68).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1*(-102)\/(-4) - (13 - 7))*2. Calculate the greatest common divisor of n and 377.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -322*p. Let d(u) = -324*u. Let q(v) = 3*b(v) - 2*d(v). Let a(g) = -g. What is a(q(y))?\nAnswer: 318*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12c3d42 + -3?\nAnswer: -12c3d45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 8*k**2 + 8*k + 9. Let j be s(9). Solve -p = -j*p + 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -236, 5, -7, 425, 4 in decreasing order.\nAnswer: 425, 5, 4, -7, -236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-240)\/(-50))\/(-6) + 8\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -23*b - 4. Let s(k) = -11*k - 1. Calculate 6*l(w) - 13*s(w).\nAnswer: 5*w - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 - -19. Let q be (-30)\/25*y\/3. Suppose 4*x - 14 = -2*s, -2*s + 3*s = -5*x + 7. Solve 4*r = -0*a + 3*a + 5, -q*r - s = a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42828372 to the power of 1\/2, to the nearest integer?\nAnswer: 6544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*6\/(-324))\/(1\/(-4)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144 = -4*s - 7*s - 13*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 84 + -84. Suppose 4*q + 45 - 61 = s. Let r be 1*q\/24*10. Which is bigger: r or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/3 and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29355*h - 29275*h - 3201 = 1759 for h.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 14 - 4*n + 7.\nAnswer: -4*n - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3883142*l**5 - 5604057*l**2 wrt l.\nAnswer: 232988520*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 14*l + 27. Let f be x(13). Suppose -g = -f*g - 78. Let c(k) = 7 + k - 2 + 1. Determine c(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k*k**(1\/4)))\/k)\/k)\/k)\/k*k\/(k*k\/k**8)*(k*k**(-3)\/k)**(-1) assuming k is positive.\nAnswer: k**(23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 275099957 to the nearest integer?\nAnswer: 16586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f**4 - 2*f**3 - 9*f**2 + 4*f + 7. Let q(y) = -y**4 + y**3 + 3*y**2 - y - 2. Let p(c) = -4*a(c) - 14*q(c). Factor p(z).\nAnswer: -2*z*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + j + 1. Let n be u(0). Let b = -217715\/61 - -3569. Which is greater: b or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17989, -17986, -17979, -17968, -17953, -17934?\n\"Answer: 2*z**2 - 3*z - 17988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eciiceeoecoiooc. Give prob of picking 1 i, 1 c, 1 e, and 1 o.\nAnswer: 64\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxb when three letters picked without replacement from {b: 13, v: 2, x: 3}?\nAnswer: 13\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-3\/11)*u\/u**(5\/7)*u)**(-1\/53)\/(((u**(-1\/3)\/u)\/u)\/u*u**(1\/3)*(u\/u**(1\/4))**(-32)) assuming u is positive.\nAnswer: u**(109990\/4081)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 1:00 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112733493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(1\/2)\/m)\/m)\/m)**(5\/4)*m**(1\/2)*m**(2\/5)\/m assuming m is positive.\nAnswer: m**(-129\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*(34\/51)\/(2\/18). What is the highest common factor of l and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7998 + 7977 - (-22 + 1 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*z**4 + 47*z**3 + 4*z**2 - 30*z.\nAnswer: 96*z + 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 + 0\/(-5) + (1 - -57) is divided by 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/28136000 and 109\/3250.\nAnswer: 365768000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2. Let p(n) = -240817*n**2. Give p(o(j)).\nAnswer: -240817*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4453 = -2*q + p, 2*p - 7*p + 2210 = q. Let t = q - 870. What are the prime factors of t?\nAnswer: 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -405 - 2*l + l**2 + 0*l + 406 in the form m*l**2 + b*l + z and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-232)\/4089*27*10\/360.\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 5 + -9 + 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 14*z**2 + z + 13. Give m(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2160940678?\nAnswer: 2, 13, 83113103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 9*w - 50. Let h be n(-6). Let k = -63 + 33. Let f be ((-8)\/12)\/(1\/k). Calculate the greatest common divisor of f and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k - 1. Suppose a - 2*a = -1. Let z(j) = j - 4. Determine a*z(t) + 3*b(t).\nAnswer: -2*t - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/(-5))\/((-4)\/(-10)). Suppose z + j = 3*z. Let r(u) = u - 5. Let d be r(5). Put z, 5, d in descending order.\nAnswer: 5, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65 + -25. Suppose 4*d = -2*k + 64, -7*d = 4*k - 10*d - 106. Calculate the greatest common divisor of k and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*q + 12, 5*s - 2 = 2*q + 22. What are the prime factors of (2\/s)\/((-1)\/(-21))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48 + 15.48112.\nAnswer: -32.51888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 7, 1, 441, -4, -15, 4 in descending order.\nAnswer: 441, 12, 7, 4, 1, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 13*o**2 - 14*o - 141. Let t be p(-10). Sort t, 5, -0.3 in ascending order.\nAnswer: t, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 3*k = -1, 3*r + 0*r + 6 = 3*k for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*s - 4*a, -s = -11*s - 2*a - 70. Let l(y) = y**2 + 8*y - 6. Give l(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -1. Let o(l) = -l + 2. Let i = 3 + -2. Suppose 3*y - 3 - 9 = 0. Calculate i*o(v) + y*s(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 8:36 PM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(490)*-3 - 1*sqrt(1210))\/(((sqrt(60)\/sqrt(2))\/sqrt(6) + -2*sqrt(80))*-2).\nAnswer: -16*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**5 - 4*a**5 + 3*a**5)*(-1 + 3 - 1) + (-123 + 2*a + 123)*((7 - 10*a**2 - 7)*(5*a**2 - 5*a**2 - a**2) - 5*a**4 + 2*a**4 + a**4).\nAnswer: 18*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 - 443 = -31*v. Suppose -11436 = -v*b + 868. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4\/10 - 646\/(-10)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 901 + -404. Is d a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 r when four letters picked without replacement from rnrnntnnnrttn?\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.201*-506.36\nAnswer: 101.77836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4.527 and 0.015.\nAnswer: -4.512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -5*s**2\/2 + 3*s - 2477. Let l(o) = -11*o + 6. Give -7*c(f) + 3*l(f).\nAnswer: 2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140 (base 7) to base 14.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**13*n**16\/n)\/(n**(4\/9)*n\/(n*n**(-11\/5))) assuming n is positive.\nAnswer: n**(1141\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2322000167?\nAnswer: 23, 100956529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5633768015 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16.405 - -0.305. Let w = f + 27. Round w to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*j - 98*j = 212. Suppose -j*f + 132 = -211*f. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82 + 26 + 60 + 2*k + 75.\nAnswer: 2*k + 243","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1848266 is divided by 2009?\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.57 at least as big as -2\/375?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 3:43 PM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 - 1480*g**2 + 10555*g - 15150.\nAnswer: -5*(g - 5)*(g - 2)*(g + 303)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14886574991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 5. Suppose -4*d + 28 = w*j, -4*j + 32 = 2*d + 2*d. Suppose j*f + 19 = 5*q, -3*q + 3 = -4*f - 10. Is -2\/5 at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264228777 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38\/266)\/((-12)\/14)*2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/24331776 and -109\/12.\nAnswer: 24331776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l + 0*l - l)*(l - l + 4*l) + (4 - 3 + 3)*(0*l**2 - 2*l**2 + 0*l**2) + l - l + l**2 as w + v*l**2 + c*l and give v.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 49 or -2436?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 8*i + 5. Let y be j(-9). Let g(s) be the second derivative of 2*s**2 + 1\/12*s**4 + 0 + 3\/2*s**3 + 7*s. Calculate g(y).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 4*p**2 - 8*p - 23. Determine w(-4).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 138479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -391600 and 154.166.\nAnswer: -391445.834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.05, 0.11, 25, -1342?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20857 is divided by 1097?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168*o**2 + 13*o - 13*o.\nAnswer: 168*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + b + 44. Let g be x(0). Let k(o) = 2*o**2 - 6*o + 3. Let z be k(4). Calculate the highest common factor of z and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 + -2. Let z = 1.9232 + a. What is z rounded to 3 decimal places?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13964 + -13969. Put 0.5, 7, w, 276 in decreasing order.\nAnswer: 276, 7, 0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 259*d - 14 = 264*d + 13, 3*k + 3*d - 9 = 0 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1511205984.\nAnswer: 2, 3, 23, 25349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-1\/4)\/c*c)\/c*c\/(c*c**(-1\/3)\/c))\/(c**(-1\/3)*c)**(3\/4))\/(c**5*c\/(c*c\/(c*c*c*c**2)))**(-17) assuming c is positive.\nAnswer: c**(1843\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -6 + 7 - 8 - 2*z - 1. Calculate d(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 e when four letters picked without replacement from ccicicecicciniiine?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + (sqrt(242) - ((1*sqrt(242))**2 + -2))*-2 + 3) + 4.\nAnswer: -2870 + 132*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3c1 (base 14) to base 8\nAnswer: -1365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -34052, -36388, -38734, -41096, -43480, -45892, -48338, -50824?\n\"Answer: -a**3 + a**2 - 2332*a - 31720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 6*g = -100. Suppose z - 5*z = -8, -5*z + 163 = 3*y. Let j = y + g. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 3:15 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/5 (b) -3 (c) 1.97 (d) 2 (e) -1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 8*w**4 + 8*w**4 + 10*w**4 - 2*w**2 + 4 to u*w**2 + h*w + k*w**3 + g + d*w**4 and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5167391413?\nAnswer: 5167391413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m**2\/7 + 40*m - 92\/7 = 0. Calculate m.\nAnswer: 1\/3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 + -31. Suppose t*r - 5 = 7. Let h = 11 - r. Solve -h*x = -2*x + 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 17*n + 2. Let k be x(17). Let j(p) = 6*p**k + 4*p + 11 - 3*p - 15. Let i(w) = 2*w**2 - 1. What is 7*i(m) - 2*j(m)?\nAnswer: 2*m**2 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y + 2*y - 6*y. Let z(x) be the first derivative of -11*x**2\/2 - 2*x - 45. Give z(f(a)).\nAnswer: 22*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 0*j + j**3 - 20*j**2 + 2 + j + 15*j**2. Determine v(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 2 + 0*t**2 - 4*t**2 - 7 in the form i*t**2 + q*t + j and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -5*f**6\/2 + 5*f**4\/4 - 694*f**3\/3 - 696. Find the third derivative of o(p) wrt p.\nAnswer: -900*p**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o**2 + 20*o + 1783. Let n(u) = 21*u**2 - 110*u - 8914. What is -11*h(k) - 2*n(k)?\nAnswer: 2*k**2 - 1785","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 103941 and 12.\nAnswer: 415764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.6 and -3.2552225.\nAnswer: 1.9531335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 11*q - 14 = -16*q, -2*d = -3*q + 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2215596833 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.828 + -10.6. Let o = s + -0.018. Let u = 0.210168 - o. What is u rounded to 5 decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 12 and 2024.\nAnswer: 2036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -43217992.9 rounded to the nearest 100000?\nAnswer: -43200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 682\/3 (b) 5\/2 (c) -3\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 241\/5 - 48. Which is the third smallest value? (a) -3 (b) r (c) 0.1 (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 152 + -149. Let i(p) = -p**2 + 12*p - 10. Let b be i(7). Differentiate 17 + 12 - 3*z**h - b with respect to z.\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9717251.9 rounded to the nearest 100000?\nAnswer: -9700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 6:29 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 4*h + 17849985. Let d(c) = 2*c. Let m be d(2). Suppose 5*y = 5*z - h, -2*z - m*y - 1128914 = -3508918. Round z to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 1941*c**2. Let r(j) = 2*j**2. Give r(b(k)).\nAnswer: 7534962*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1279492996 less than -0.1?\nAnswer: -1279492996.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -152.12991+4\nAnswer: -148.12991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3429150, -3429156, -3429148, -3429120, -3429066, -3428980, -3428856?\nAnswer: -3428688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/10 + 3 + 10014\/12. What is the greatest common factor of 88 and x?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 3*d + 148. Suppose -u + 4 = -5*b + 9*b, 0 = 5*b + 5*u - 20. List the prime factors of g(b).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*v = 144 - 105 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dte when three letters picked without replacement from {d: 2, g: 2, e: 4, t: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 46*h**2 - 13*h + 24. What is the remainder when a(3) is divided by (-100)\/(-3)*27\/36?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 11\/(-14) - (-378)\/252\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*k - 5, 2*v - k = 297. Calculate the remainder when v is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -23*j**3 - 9*j. Let k(b) = -11*b**3 - 4*b. What is -4*h(s) + 9*k(s)?\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.4 (b) -467 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 26*g**2 - 59*g + 170. Calculate the lowest common multiple of 8 and q(28).\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 39 = 4*f + 5*a, 2*f = 3*a + 26. Let j = -16 + f. Suppose -j*d = -0*d - 12. Calculate the remainder when 13 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 1)\/(-11 - -10). Let y be (v\/(-4))\/(2\/(-16)). Sort -8, -3, y in increasing order.\nAnswer: -8, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -271, 1, -4, -5, -31.\nAnswer: -271, -31, -5, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.06536 - 0.01314. Let y = d + -0.053. What is y rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**3 - 3*y**2 - 4*y - 3. Let x be v(-4). Let f = -116 - x. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5 - 29*v - 30*v + 53*v. Suppose -4*z - 4*y = 44, -3 = -y - 7. Let u(p) = -9*p - 7. Give z*k(b) + 5*u(b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 198 = -3*d, 4*d - 3*d - 62 = -r. Let a be (-3)\/2 - d\/(-10). Find the first derivative of -2*i - 5 + 3 + a + 3*i wrt i.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**3\/4 - 100698*c**2 - 13694417655*c\/4 - 5831620385775\/2 = 0.\nAnswer: -66695, -874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 522 - 297. What is the greatest common divisor of 45 and m?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 - -66. Calculate the greatest common divisor of p and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u - 1. Let z(g) = 5*g**2 - 5*g - 6. Let n(f) = 9*f**2 - 9*f - 11. Let v = 10 + 1. Let o(k) = v*z(k) - 6*n(k). Let p(x) = 2*l(x) - o(x). Give p(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 9*g**2 - 10*g - 1. Let y be b(8). Let r be y\/(-20) + -5 + (-1)\/4. Suppose p + r*p = -0*p. Solve -j + 1 = p, 4*j + 8 = 2*o + 2 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 2*t - 8, 0 = 2*t + 13*y - 14*y - 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49\/195 + -5\/13. Which is the closest to 2\/5? (a) 0.4 (b) -0.5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -537394 = 10622*w - 1440264 for w.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 1127341508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 952363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23\/10 + 223\/110. Let j(t) = t**2 + 3*t - 71. Let u be j(7). Which is bigger: u or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16328\/235 less than -70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 + -1 - (2 + -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - 2 - 1 - -4. Suppose y + 3*t = 1 - 8, -g*t = -2*y + 19. Suppose -z = -2*q - 1, -4*q + q + y = -z. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 10, 3, -8, -23?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 122*i**2 + i + 9. Let b be n(9). What is b rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/3 and -73\/200109.\nAnswer: 200109","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 602 - 574. Is 18 at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**4\/8 - 176*o**2. Let p(x) = -81*x. What is p(c(g))?\nAnswer: -243*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6918 - 6915 - 6918 - 493*m + 27674 - 6923.\nAnswer: -493*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2.8, -2, -34?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 406 - 241. Let j = -163 + l. Put 3\/4, -1, j in ascending order.\nAnswer: -1, 3\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172616 = -3779*y - 1561*y + 24964 for y.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13847)\/5902 + (-14)\/(-28).\nAnswer: -24\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -175 - -195. Let i be -1 - 1*(2 - 6). Put i, t, -3 in ascending order.\nAnswer: -3, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -250 - -252. Solve -10 = 5*o, -2*p + 0*o - w*o = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 - 37.2. Let s = -2.89 - y. What is s rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*u + 29 - 29 + (0 + 0 + u)*(-2 + 1 + 0))*(0 + 1 + 2) + (-46*u + 17*u + 24*u)*(2 - 3 - 1) to the form r*u + t and give r.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/6 less than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 5*p - 831, 4*g - 277 = -3*p + 3047. Suppose 8*v = g + 297. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 11:40 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 237529 and 3563800.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, y: 9}. Give prob of picking 2 y and 1 l.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/7839 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120472 and 20680.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 73617614 (base 8) to base 4\nAnswer: 323301332030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22419345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9 (b) 0 (c) 0.1 (d) 2.31 (e) 362\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (3 - 3) - -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 38 - 38 - 11*b**3 + (3*b**3 + 0*b**3 - 2*b**3)*(1 + 0 - 3) + 6*b**3 - 3*b**3 + 0*b**3 + (0*b + 0*b - 2*b**2)*(2*b + 2 - 2) + 0*b**3 + b**3 - 3*b**3.\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -184125, -736503, -1657111, -2945931, -4602945, -6628135, -9021483?\n\"Answer: 3*o**3 - 184133*o**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-63))\/((-2)\/(-6)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-45*y + 462 - 462)*(2*y - 1 + 1 + y**2) to t + m*y**2 + l*y + j*y**3 and give j.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + (3\/(-1) - -8). Let i = -890 + 510. Let r = 378 + i. Which is the fourth smallest value? (a) -1 (b) r (c) -3 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -7 + 0*a - 2*a + 3*a. What is n(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 1, -5*v - t + 28 = 2*t. Suppose -5076 = -v*p - p. List the prime factors of p\/90 - (-3)\/5.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 - 9230*z - 3483930 - 1964908 + 376304 + 812889.\nAnswer: -5*(z + 923)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 261, -2, -1 in descending order.\nAnswer: 261, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10462 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(136) - 2*sqrt(136))*4 - sqrt(136))\/sqrt(4))\/(1*sqrt(2)*2 - (sqrt(200) + sqrt(200)*1 + sqrt(2))) + -5)*3.\nAnswer: -15 + 15*sqrt(17)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**4\/11 + 4362*o**3\/11 - 18947010*o**2\/11 - 64374467650*o\/11 - 4550732847000 = 0. Calculate o.\nAnswer: -1915, 3564","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -937 + 1692. Suppose -f = -16*q + 11*q. List the prime factors of q.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276 = -4*s - i, 2*i = -5*s + 339 + 6. Is s a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49 - -11. Let t = -22 - w. Calculate the highest common divisor of t and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -10. Let q = 2 + w. Suppose -g = q*g - 24. Calculate the greatest common factor of 2 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 98 = -5*d. Suppose 46*r = 41*r + 25. Does 16 divide ((-39)\/r)\/(4\/d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 85 = -13*v. Let k = 20 + v. Suppose -k*n = -n - 8. Solve -20 = 5*b - 5*a, 0*b + n*a = 2*b + 6 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7358227*n**2*p**3 - 30*n**2*p**2 + 2951*n - 8*p**2 wrt p?\nAnswer: 44149362*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -315*q - 615. Calculate the least common multiple of 45 and k(-2).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/7 of a week in minutes?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -172 - 1327 - 1779 + 899 + a**2 - 872 + 2*a as m + z*a**2 + t*a and give m.\nAnswer: -3251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 - 8042*v + 16092.\nAnswer: -2*(v - 2)*(v + 4023)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -68.2\nAnswer: -204.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 833\/((-139)\/(10286\/(-629))).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62152 less than -0.0527?\nAnswer: 62151.9473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r + 497957950 = 99257950. Round r to the nearest one million.\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z**2 - 56*z - 2. Calculate the remainder when 84 is divided by h(19).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 k, and 2 a when four letters picked without replacement from khaaahvvhyvahyahh.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 695*j**2 - 13503*j - 64. Give t(-20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 4 - 12)*(-4*y - 2*y + 5*y) - 91*y + 2450 - 2450)*(5*y**3 + 0*y**3 - y**3).\nAnswer: -292*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 30531959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 5020.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4.9*-0.076\nAnswer: 0.3724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -909, -1854, -2867, -3948?\n\"Answer: -34*p**2 - 843*p - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 11) to base 5.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -79\/2 + 41. Let b(u) be the first derivative of 0*u - w*u**2 - 1. Let t(s) = -2*s**2. Calculate b(t(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/18)\/(14\/63). Let s = -1 + 1. Let r be 2\/(-16)*-2*-6. What is the second smallest value in r, i, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0)**(-1\/44)\/(w**(-1\/3)*w*w*w*w)**(10\/3)*(w\/(w**(-1\/2)*w))\/(w*w*w**(-2\/21))*w**2\/(w*w*w**(-7)\/w) assuming w is positive.\nAnswer: w**(-709\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1623187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 711813 - 1161678853\/1632. Calculate the common denominator of -17\/108 and d.\nAnswer: 14688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 68 = -5*q + 71, 3*q + 4*k = 99. Suppose 32*i = q*i + 30. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.2+42551546695\nAnswer: 42551546689.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4, 16, 42, 88, 160?\n\"Answer: c**3 + c**2 + 2*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 - 31. Suppose k = 12*f - 16*f + 12. Solve -z = -f*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, y: 1, a: 1, e: 2}. What is prob of sequence eoo?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -4*o + 4*c, -5*c + 6*c = -6. Solve -o = -3*u + y, 4*u + 2*y - 31 = -u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9119 is divided by 7585.\nAnswer: 1534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -2*x - 134, -5*x - 35 + 10 = 0. What is the remainder when 92 is divided by 2\/(-4) + 1\/2 - u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 1:36 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 6*i + 4. Suppose -632*s = -551*s + 81. Let t(g) = -g - 1. Let m(d) = 1. Let o(h) = -m(h) - t(h). Determine s*u(b) + 5*o(b).\nAnswer: -b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3\/4, -4, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 3*o**4 - 192*o**3 - 3*o**2 + 192*o = 0.\nAnswer: -1, 0, 1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 11:50 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f\/(f*f*f**(-4)\/f))*f**(-7)*(f*(f*f**2*f)\/f*f*f)**(4\/11)*f**(-1\/7)*f\/(((f\/f**(-2\/17))\/f)\/f*f)*f**(-5)\/f*f\/(f**(1\/8)\/f) assuming f is positive.\nAnswer: f**(-117325\/10472)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*p - 7. What is the highest common divisor of 72 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57681 and 272.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + 0.7. Let n be 1\/3 + 80\/(-15). Let j be 1\/2*(n - -3). What is the second biggest value in -1\/2, w, j?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/5*j**2 + 4\/5*j + 0 = 0. What is j?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -5*y. Let u(f) be the first derivative of 2*f**2 + 1. Let j be (-2)\/12 - 204\/72. Determine j*u(h) - 2*x(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/((-12)\/(-48)*-4). Let j = 178 + -183. Which is the closest to 4? (a) j (b) t (c) -10 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*a - 12 = -4, u - 9 = 3*a. Solve -9 + 18 = u*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -1\/7*h**6 + 0*h**3 - 3 + 0*h**2 - 2\/7*h**4 + 0*h + 16\/35*h**5. Solve d(r) = 0 for r.\nAnswer: 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1026\/108 - 9)\/(3 + (-77)\/25)?\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -57 and -2798752.\nAnswer: -2798809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -y**3\/6 - 2*y. Let k(j) = -2 + 6*j - 2 + 4. Calculate k(n(x)).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 5*f - 14 = 10*f, -k - 4*f = 13 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -1. Let p = -0.1 - 0. Do p and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y + 2*y**2 - 2*y - 2 + 2 + 2*y**2 + (-y + y + 2*y)*(4*y - 3*y + y) to the form z + r*y**2 + b*y and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*(-3)\/6)\/(57\/171)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27375581*t**3*w**2 + 3*t**3 + 345*t*w + 785*t + 14*w**2 wrt t?\nAnswer: -164253486*t*w**2 + 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/5))**(-4\/11) assuming h is positive.\nAnswer: h**(4\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {s: 10, x: 6, i: 4}?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/8 - 1*150\/(-4). Solve 16*s - l = 42 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 times 0.582125\nAnswer: -18.628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 179*n**2*r**3 + 343*n**2*r**2 - 2*n*r**2 - 2*n - 11229*r**3 - 2*r**2 + 2*r + 46 wrt r?\nAnswer: 1074*n**2 - 67374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/2660 and 143\/980.\nAnswer: 18620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -301739 (base 15) to base 4\nAnswer: -20231121321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -61.6 + 62. Let f = -0.7 - 0.3. Which is the closest to 0.2? (a) o (b) 1\/2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**3\/7 + 170*w**2\/7 + 656*w\/7 + 648\/7 = 0.\nAnswer: -81, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-10) - 104\/(-145). Let u(r) = r**3 + 14*r**2 + 2. Let n be u(-14). Which is greater: f or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 6*l**2 + 30*l + 206. Let y be c(-15). What is the highest common divisor of y and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3612?\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10885*f**3*s + 4*f**2*s**3 - 9473*s**3 + 32*s**2 with respect to f.\nAnswer: 32655*f**2*s + 8*f*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.92 - 0.08. Suppose -q - 3*q + 20 = 0. Suppose -q*f - 3*r + r = -28, -3*r = 2*f - 20. Which is the closest to 1? (a) h (b) 2\/3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1117.\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.57204t to micrograms.\nAnswer: 86572040000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(105\/(-24)) - ((-78800)\/1428)\/50?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2875*u - 5757*u + 2882*u + 12*u**2. Let f(d) = 16*d**2. Calculate f(z(m)).\nAnswer: 2304*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 + 7 + -14 - (1 - 75 - -4) is divided by 24.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 24\/13, -17 in ascending order.\nAnswer: -17, -7, 24\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21542*h**2 + 509*h - 167*h - 167*h - 21545*h**2 - 175*h.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2, -0.016, 31?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -10\/258480781 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -48. Suppose 4827 + 2400 = 219*r. Is r at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 411994 and 47244230.\nAnswer: 6754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/(2*sqrt(3)))\/sqrt(3) + 1.\nAnswer: sqrt(3)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5779557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 9:56 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1100 times 0.3\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2283, 2285, 2287, 2289, 2291?\nAnswer: 2293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 29588 = 56818. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z - 284*z**3 + 5*z + 276*z**3 to the form d*z + s*z**3 + m*z**2 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/12087 and 71\/42.\nAnswer: 169218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 725854 or 0.4?\nAnswer: 725854","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1168943813?\nAnswer: 59, 19812607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/140 - ((-104)\/26 + (-123)\/(-15)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 - -51 - (-15 + -14).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*r**3 - 22*r**3 + 2*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mllllrlracllnlaa. Give prob of sequence nmll.\nAnswer: 1\/780","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2721810496793 - -0.5.\nAnswer: 0.7721810496793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 2*k - d + 590, -2*k + 3*d + 302 = 0. Suppose 7*p = 3*p + k. Are p and 1\/4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-1)\/(-26) - (-1 + 1)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhhb when four letters picked without replacement from hhbbb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 0*c + 25. Suppose c*l = 4*t + 5 + 16, -5*l + 1 = t. Put 2, -1, t in descending order.\nAnswer: 2, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28001080 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -12*p**2 - 2*p - 2. Let n(b) = 13*b**2 + b + 1. Give -2*j(z) - 3*n(z).\nAnswer: -15*z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/6, 0.3, -30, 3108, 3?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 - -1111100?\nAnswer: 10000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-68)\/(-12))\/(2\/24).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (182\/(-117) + 528\/27)*(-10)\/3.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/2*w**3 + 0 + 0*w + 0*w**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45*c**4*n - 37*c**3*n**3 + 985*c*n**3 + 2*c*n**2 wrt c.\nAnswer: 540*c**2*n - 222*c*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*8\/(-768)*-6?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -5*i + 640, -3*i = -2*p - 7*i + 1262. Is 25 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 620*h - 22 - 384*h + 21 to c + l*h and give l.\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 953147568 a multiple of 584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 - -27. Suppose 0*j - j + x = 0. Suppose 4*h + 196 = 3*s, -s = -0*h - j*h - 68. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1250*i + 1263*i - 4 - 2494*i to r*i + b and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12949848?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-3*sqrt(300)*1 - sqrt(300)))**2.\nAnswer: 80*sqrt(3) + 4801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -133102 (base 5) in base 12?\nAnswer: -3162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-27 + 17 - -7).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -6*h + 171. Let f be (-1477)\/77 - (-4)\/h. Let d(z) = -z - 16. Let t be d(f). Let s(a) = -a - 1. Give s(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3, 4, 19, 60, 139, 268, 459?\n\"Answer: 2*h**3 - 5*h**2 + 2*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*v + v + 18*v.\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/3 + (-4)\/(-6). Let g = 9 + k. What is the remainder when 3\/36*4*39 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4871.192815 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -20*v**2 + 31*v - 20. Let m(u) = -7*u**2 + 11*u - 7. Let j(q) = 6*a(q) - 17*m(q). Let i(w) = -2*w**2 - 7*w - 5. Calculate -i(s) + 3*j(s).\nAnswer: -s**2 + 4*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1280365 (base 9) to base 14.\nAnswer: -143d45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 85*y - 2. Let n be q(2). What is the common denominator of 111\/2*4\/9 and 2\/7 - (-981)\/n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 549257.\nAnswer: 549257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11020888?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eighteen fifths of a millimeter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4033 - 34?\nAnswer: 3444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m + 4. Let g(s) = 6*s - 8. Let c(z) = 5*a(z) + 2*g(z). Suppose 2*u = u + 9. Suppose u*i = 4*i + 3*j + 3, -5*i = 5*j - 35. Calculate c(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 2:04 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 2:58 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 15*z - 52*z + 2 + 85*z.\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {w: 7, p: 4, n: 6}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -200 + 43*u + 67 + 66 + 65 + u**2 - 4*u**3 as g + i*u**3 + y*u + z*u**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (8 + 7 - 7) + 10?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -420302120*j**3*s - 38716916*j**3 wrt s.\nAnswer: -420302120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*z + 20 + 156 + 1 + 42*z as v*z + u and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 7 + 23. Solve a*l + 25 = 5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 33. Let m = w - 15. Factor -86 - 2*k**m + 86.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6594*j**3 - 519*j**2 - 4*j.\nAnswer: 39564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 528*p**3 - 360*p**3 - 478*p**3 + (-1 + 2 - 2)*(7*p**3 + p**3 - 4*p**3 + (2*p + 3*p - 6*p)*(-2*p**2 + 0*p**2 + 0*p**2) - 4*p**3 - 2*p**3 + p**3).\nAnswer: -311*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.97 - 0.13. Let p = -0.99 - 0.01. Let m = b - p. What is the second smallest value in 1\/2, m, -0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5*(-2 + (-8)\/(-20)). Let o(g) = -h*g**2 + 4*g**2 + 6*g**2. Let c(n) = 9*n**2. Calculate o(c(m)).\nAnswer: 162*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 9:25 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135681449.\nAnswer: 135681449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-1)\/(-4)*4\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*d + 5, -3*p + 12 = -d. Let w(j) = -j**2 - 14*j - 3 + 3*j + 8*j. Let b be w(-3). Sort p, b, 2 in decreasing order.\nAnswer: p, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence la when two letters picked without replacement from {l: 2, i: 2, a: 1, s: 4, u: 3}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1347)\/(((-12)\/18)\/(-2)). Let i = -530 - z. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -64 + 77. Calculate the remainder when 10\/(15\/(-21) + 1) + 3 is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -73, -143, -217, -295, -377, -463, -553?\n\"Answer: -2*v**2 - 64*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4314 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 176*y**5 + 168*y wrt y?\nAnswer: 3520*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**8\/112 - 3*r**6\/8 - r**5\/15 + 39*r**4\/8 - 500*r**2. What is the third derivative of u(p) wrt p?\nAnswer: -180*p**2 - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4062 and 60?\nAnswer: 40620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1264 + 1?\nAnswer: -1263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1145462111 - 3?\nAnswer: -1145462114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a + 0 + 0)*(6*a + 1 - 1 + 2) as r + j*a + h*a**2 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 30*b**2 + 25*b - 2. Determine t(31).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.14 and -1733.78.\nAnswer: -1730.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 4634*x + 1 - 1 - 5802*x as o*x + b and give o.\nAnswer: -1168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2499 divided by -4?\nAnswer: 2499\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 7*x - 2. Does 4 divide q(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -94\/5 + 1311\/70. Let d = -365 + 367. Which is the closest to -1? (a) d (b) j (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.025 in -5, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 9:23 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34990222 and 1081?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -1.740496.\nAnswer: -8.70248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 50*j. Let h(z) = 75*z. Let k(d) = -8*a(d) + 5*h(d). Let q(i) = 2*i. Calculate k(q(g)).\nAnswer: -50*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f\/(f\/f**3)))\/f**(-6))\/(f**(1\/5))**(-39))**24 assuming f is positive.\nAnswer: f**(1416\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 431 smaller than -2.17847?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(256) - (sqrt(256) + sqrt(256)*-2))\/sqrt(8).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 1. Let w = -253 - -488. Is h*(0\/(-4) + w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358 is divided by 121?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 2*i - 1. Suppose -3*l - 2*t + 19 = 0, -l - t - 23 = -6*l. Let z = -18 + 27. Let m = z - l. Calculate y(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1746.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 8*c - 5. Let g be i(-10). Let v = 23 + g. Let p = -15 + v. What are the prime factors of p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 441479862?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (32*n - 24*n - 21*n)*(1 + 0 - 2) + (n - 9 + 9)*(0 - 1 + 4) + n - n - 2*n in the form d*n + t and give d.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*h**3 - 47*h**3 - 33*h**3)*(-12*h + 11*h - 18*h) - 3*h**4 + 4*h**4 + h**4.\nAnswer: 1047*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -2, -3, -485, -4 in increasing order.\nAnswer: -485, -5, -4, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/(-10) + -1)\/(3\/956). Let r = -340 - v. Let c = r + -74. What is the highest common factor of 160 and c?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 248 = -28. Let m = -125 + 128. Suppose -m*x + 50 = r, 0 = -x + 3*x - r - 40. Calculate the least common multiple of q and x.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000515634383 rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -17 - (-1 + 3 + -3). Let j be 4\/30*5 - v\/12. Solve -j = 5*m + 13 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 323802910?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s + s + 0*s)*(1747 - 92 - 438 + 3425).\nAnswer: 23210*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 972086.\nAnswer: 2, 486043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15986106 a multiple of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 338977500 to the nearest integer?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2978814.\nAnswer: 2, 3, 41, 12109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h - 19*h + 350 = 2*h. Calculate the lowest common multiple of h and 625.\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a week in seconds?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - -3066?\nAnswer: 3060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-8)*10\/(-75). Let r = -96.1 - -96. Which is the closest to -2\/7? (a) r (b) -27 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(0 + -1)*147\/(-84)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1775 - 1788) + (-65 - -6).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100000 - 1011110000001?\nAnswer: -1100100100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20221200 - 201022?\nAnswer: 20020101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-15 + 31 + -4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109, -346, -687, -1084, -1489, -1854, -2131, -2272?\nAnswer: -2229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1909 - -3396. List the prime factors of x.\nAnswer: 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -800730, -800725, -800720, -800715?\n\"Answer: 5*m - 800735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + -1245?\nAnswer: -1235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 8911162 divided by -2\nAnswer: -4455581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*d + 2*a - 20 = 135*d, 2*d = 5*a - 40 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -110 - -126. Let s be 8\/(-9)*4\/r. Put 2, 12, 1\/3, s in descending order.\nAnswer: 12, 2, 1\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 420 divided by 10.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 2\/115?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1062 less than -0.496?\nAnswer: -1062.496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3, -13, -39, -87, -163, -273?\n\"Answer: -g**3 - 2*g**2 + 3*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 15*r**2 + 14*r - 36. Let j be n(-16). Let s be (14 - 16)\/(j\/594). Suppose 5*i - s = 3*x, x = -0*i - 3*i + 167. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 6*f + 2. Let s(y) = y**2 - 6. Let o be s(0). Let q be p(o). Suppose 2*j - 8*n - 34 = -7*n, q*n = -j + 7. Round j to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a decade in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven sevenths of a week in minutes?\nAnswer: 82080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 245295206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1972 and 158440?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 + -107. Let n = 10 - 12. What is the units digit of z\/(-1) - (-1 + n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.30923*-3.\nAnswer: -6.92769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -8*w**2 + 520*w + 17094. Determine f(-24).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 43. What is the lowest common multiple of 9*(2\/1 + 0) and (2 - 1) + (1 - h)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**9\/3024 - h**5\/40 - h**3\/3 - 3*h**2. Let m(d) be the first derivative of g(d). Find the second derivative of m(r) wrt r.\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 13969, 13965, 13957, 13945, 13929?\n\"Answer: -2*v**2 + 2*v + 13969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/7, -7, 0.4, -1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 0.4, 1\/5, 5 in descending order.\nAnswer: 5, 2\/3, 0.4, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 245*w**4 - 1820*w**3 + 2820*w**2 + 2080*w + 320 = 0. What is w?\nAnswer: -2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -20*w - 90. Let x be (w + 10 - 13)*(-2)\/2. Suppose h = -0*d + d - 30, 4*h = 0. Solve -2*g - g + 5*z + d = 0, -5*z + x = 5*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = c + 121, f = 2*f - 2*c + 31. Is -38 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15073.6 - 15074. Which is the smallest value? (a) -13 (b) p (c) -4 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18.8 + -2.8. Let t = i + -11. Let g = -5 + 3. Which is the third smallest value? (a) t (b) 0 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 75\/2 of a decade?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 3*l + 8. Suppose 4*j + 3*x = 0, 3*x - x = -2*j. Suppose -7*w + 4*w + 150 = j. Solve -5*k + g + l*g = 0, -5*k + w = 5*g for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4778 divided by -22\nAnswer: -2389\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.8 - 0.115. Round r to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6376 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 348\/41 in 9\/4, -4\/5, -10?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.50498, -14, 3, 198?\nAnswer: 0.50498","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98674 divided by -49337.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 991388?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 4*y. Let z be j(-3). Suppose -z*n = -f + 5*f - 27, -5*n + 45 = f. Suppose 11 + n = -4*b. Let g(v) = -v - 7. Determine g(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - -16644?\nAnswer: 16650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 509413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1030017269 to the power of 1\/2, to the nearest integer?\nAnswer: 32094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/(6\/(-9))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/12)\/(4\/(-32)). Suppose -l - 78 = 5*d. Is d >= -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 13\/1147871?\nAnswer: 13\/1147871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38491 - -38490.9980003. What is d rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139 - 325 = 173*n - 405*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*r + 27 = 0, -13 = -5*a - 5*r + 2*r. Suppose -3*k + a*u - 1380010 = 0, 2*u + 2299994 = -5*k - u. What is k rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2124, 4357, 6614, 8895, 11200, 13529, 15882?\nAnswer: 18259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 5 - 46*u - 8*u - 3 as v + o*u and give o.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -2*r. Let b = -26 - -31. Let s = 1 + -1. Let d(m) = s*m**2 - m**2 - 5 + b. Determine d(l(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12515, -12394, -12269, -12140, -12007, -11870?\n\"Answer: 2*n**2 + 115*n - 12632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**3\/7 + 13162*v**2\/7 + 170792*v\/7 + 157632\/7 = 0?\nAnswer: -6568, -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 117 and (0\/(-2) + 59)\/(42 + 22132\/(-528)).\nAnswer: 27612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 71*h**2 - 323*h - 19. Let s(u) = -15*u**2 + 68*u + 4. Let t(m) = 19*s(m) + 4*y(m). Let i(v) = 59*v**2 + 54*v**2 - 3*v**2. Calculate t(i(p)).\nAnswer: -12100*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 2*x - 29, 6*l - 8*l - 2*x + 6 = 0. Suppose -2*c = 2*p - p - 7, 0 = 5*c - 2*p + l. Solve 0 = 3*b - 4 + c for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(660)*-2)\/sqrt(12))\/(sqrt(11) - (sqrt(11) - (sqrt(11) - (-1*sqrt(396) + sqrt(396)) - sqrt(11))) - sqrt(77)\/(sqrt(21)\/sqrt(3))))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*0.077.\nAnswer: 0.154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-2)\/4))\/(4\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of x**5\/10 + 10*x**4\/3 - 59*x**3\/3 - 330*x**2 + 4091*x. Find q, given that p(q) = 0.\nAnswer: -22, -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m + 14. Let v be s(14). Let k(h) = -h + 1. Let n(r) = r + 2. Let u(d) = d + 4. Let b(l) = 10*n(l) - 6*u(l). Give v*k(q) - 4*b(q).\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1465 = -5*q - 4*i, 23*i - 18*i = q - 293. What is the remainder when q is divided by 139?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 5*f - 12. Let g = -21 + 22. Let n = g + f. Let k(a) = a**3 - a**2 - 2*a. Let c(d) = 2*d**3 - 2*d**2 - 3*d + 1. Give n*k(b) + 2*c(b).\nAnswer: b**3 - b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + g = 3*g + 44, 0 = 4*p - 3*g - 91. Let f = 25 - p. Let s be ((-2)\/(-17))\/(1\/2). Which is bigger: f or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 509*a**2 - 14 + 514*a**2 - 1577*a**2 + 518*a**2.\nAnswer: -36*a**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**2\/2 - 161*c - 975\/2 = 0.\nAnswer: -3, 325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**5\/9 + 869*k**4\/9 - 1547*k**3\/9 - 181*k**2\/9 + 1552*k\/9 - 688\/9 = 0. Calculate k.\nAnswer: -1, 4\/5, 1, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -0.049579?\nAnswer: -0.148737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 123107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 9*z - 1. Let d = -7 + 11. Let k be c(d). Let j = 39 + k. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7210*t - 7214*t = 4*z - 416, 4*t + z - 407 = 0. Let c(a) = -a**3 - 2*a**2 + 3*a - 3. Calculate the remainder when t is divided by c(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -17.07. Let n = -80 - -79.52. Let a = -0.52 + n. Which is greater: s or a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4 = 0, -3*b + 2*y + 28 = -34. Suppose 0 = -2*x + 39 - 3. What is the greatest common factor of b and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 216.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23.8 - 22. Let q = g + 0.2. Let l = 43 + -43. Which is the smallest value? (a) q (b) 0.3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702.39754 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -587240 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.83704 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14925 - 11409. What is the thousands digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*t**3 - 2*t + 5*t**2 + 0*t**4 - 9*t**3 - 2*t**3 + t**4 to p*t + r + j*t**4 + q*t**3 + a*t**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22? (a) -379 (b) -0.2 (c) 224\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-10))\/((-32)\/(-80))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3\/2 (b) 2\/9 (c) 1\/25 (d) -0.06 (e) -0.4 (f) -1\/174\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 963 = 2*v - 3463, 5*v + 4*d = 6276. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z + 2*z - 4*z)*(224 + 214 - 7079*z + 207 - 643) to the form a*z**2 + r*z + y and give a.\nAnswer: 21237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 20 = -4*z, 2*z - 6 - 7 = -3*k. Let n be 48\/2*(-4)\/(-6). Suppose p - n = -p. Solve w - 5*q + 21 = 0, -4*w + p = z*q + q for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -2.5. Let l = 26 + -26. Which is the closest to 4? (a) 5 (b) l (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from znpzaff?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13783202283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*g + 1084 = 0. Let b = -116 + g. Let l = b - -23. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -20. Let l be 4\/t*7\/(-18). Put l, 0.4, -0.02 in decreasing order.\nAnswer: 0.4, l, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-5) - 46431\/(-1005)) + -8\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q + 0*q + 3 + 8*q + q**2 - 9*q. Let n be f(0). Suppose -n*s - 2*x + 24 = -s, -5*s + 5*x + 10 = 0. Solve -s + 1 = 3*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -0.4 (b) -29.2 (c) 0.1 (d) -2\/7 (e) 89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*t = 16*t - 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2407, 2430, 2493, 2602, 2763, 2982?\nAnswer: 3265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -3, 61, 177, 363?\nAnswer: 637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1577888437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*d + 124 - 540. Let q = d - -132. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -3*l**4\/2 + l**3\/3 + l**2 + l + 14564. Suppose 5*a - 3*r + 22 = 2, -5*a + 4*r - 25 = 0. What is w(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -403 + 6748 = 9*m. Is 704 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24.3 - 7.3. Let m = q + -17. Let d = -0.01 + -0.19. What is the second smallest value in 4, d, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(-8 - 20*o + 17*o + 9*o).\nAnswer: 12*o - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 5*r - 1087, -5*v + 2*r + 1570 = -252. Does 12 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 - 24. Suppose 0 = p - 4*a - 44, -3*p = -2*a + 3*a - 184. What is the greatest common factor of b and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -563, -4 in descending order.\nAnswer: 0, -1, -4, -563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3453855 times 0.1\nAnswer: -345385.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 116*w - 164*w + 90*w - 504 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43988897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d**3 + 126*d**2 - 138*d**2 + 82 - d + 2*d**4 - 84 to a*d**2 + l*d**4 + t*d**3 + h*d + b and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 + -449. Let i = q - -752. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*1*-1*(-2*sqrt(500) - sqrt(500)) + (0 + sqrt(500))*4*1 + 0)*1)**2.\nAnswer: 12500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -222176 by 1696.\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 7 = 4*t - x, 5 = -5*x. Suppose 11*j - 450 = t*j. Calculate the smallest common multiple of 6 and j.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4069*b**2 + 1493*b**2 + 1282*b**2 + 1296*b**2 - 138*b**3.\nAnswer: -138*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(99) - -2*3*sqrt(11).\nAnswer: -2 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -547965220*k**4 + 412911557*k wrt k?\nAnswer: -6575582640*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -146 or 6?\nAnswer: -146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 129199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o + 1. Let c be j(4). Let i = -97 + 109.1. Let a = -16.1 + i. What is the smallest value in -1, c, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5*t**3 - 2*t**2 + 2*t - 1. Let s be y(1). Suppose 0 = -2*g - 2*g - 44. Let u(f) = -4*f - 5. Let n(h) = 7*h + 9. Determine g*u(d) + s*n(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - (-8)\/6)\/(29\/(-3740043)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2782, 5573, 8378, 11197?\n\"Answer: 7*c**2 + 2770*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -4. Let y = -1 - -3. Let n be y\/3 - 1\/6. Put h, n, -1\/5 in descending order.\nAnswer: n, -1\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (624\/(-112) + 5)*-1141. Solve -653*a - 5 = -g*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 24458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -105 and 2143.\nAnswer: -225015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/647 - -601\/14881. Let n(l) = 207*l - 9941. Let q be n(48). What is the biggest value in v, 4, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -4, -1.\nAnswer: -5, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 6 = u. Let n be ((0 - u\/(-12))*268)\/1. Let p = n + -41. Calculate the lowest common multiple of 20 and p.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-1)\/14*7\/4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/1*2\/4. Suppose -44 + 58 = -y. Let f = l - y. Solve -v + t = 2, 0 = f*t - 3*t + 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + i**4 - 5*i**4 - 4*i + 6*i in the form o + k*i + d*i**4 + q*i**3 + u*i**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*g)*(-4*g + 4*g + 3*g)*(-2655*g**2 - 182 + 101 + 83).\nAnswer: 15930*g**4 - 12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 173421, 4, 5.\nAnswer: 4, 5, 173421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, -0.6, -2, -2\/5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d**2 - 5*d**2 + 8*d**2)*(-5 - 8*d**2 + 5 - d).\nAnswer: -64*d**4 - 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0269 to 3 dps.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 629538 is divided by 57227?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 29 - 127 = 0. Suppose o - 6*p = -4*p - 6, -2*o - 5*p = i. Let v be 2\/6 + (-116)\/o. What is the greatest common factor of 2 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f + 11. Let x(w) = -7*w + 3. Let l be x(2). Let y(i) = -i - 4. Let m(z) = l*y(z) - 4*n(z). Let a(q) = 2*q**2. What is a(m(r))?\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**4\/24 - i**3\/3 + i**2. Let z(h) be the second derivative of h**3\/6 - h**2\/2 + 112*h. Let f = -2 - -3. Give f*t(a) - z(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 2*s = -x + 14, -s = 5 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 53?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15892555 and 19071066.\nAnswer: 95355330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 1:07 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 11804 = 11826 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 2 = 7*n, 5*u + n - 243 = 0. Suppose 2*t + 98 = 2*h - 3*h, -5*t = -5*h + 215. Let y = u + t. Solve -y*m = -1 - 7 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1866568471?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -4*q**3 - 9424*q**2 - 18836*q - 9416 = 0?\nAnswer: -2354, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 6:42 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 30\/10 - (-1)\/(1\/(-3)). Suppose 8*p - 173 - 51 = i. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 39 = -5*x, 3*j - 142*x - 12 = -144*x. Solve j*u - 13 = 10*u + h, -5*u - 23 = -h for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2\/5 + 4168847*n\/5 - 1042212\/5.\nAnswer: (n + 1042212)*(4*n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) 3\/11 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**5 + 6*q**4 - 39*q**3 - 114*q**2 - 72*q = 0. Calculate q.\nAnswer: -3, -2, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3946\/54 - 177609\/2433?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 1535 = 2*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c - 47. Let b be s(-23). Put -3, b, 4, 10 in decreasing order.\nAnswer: 10, 4, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -5*o + 23, -2*o = n - 4 + 2. Does 10 divide 138 + (1 - n) - (6 + -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 898520477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -9 + 11 - (-1 + -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102 - 50 - 52 - 645*a**3.\nAnswer: -645*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/4)\/(4\/(-8)). Suppose -u*j + 10 = -8. Let w(a) = -4*a - 5. Calculate the remainder when w(-4) is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16500 and 10164?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99 - 159 = -10*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.42 + -11.02. What is the nearest to -1 in -3, -11, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*y = 486*y + 207 + 1458 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.89 and 5.\nAnswer: 2.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 386*x**2 + 3 - 393*x**2 - x**3 + 11*x + 5. Suppose 5*v + 18 + 7 = -3*q, 4*v + 37 = q. Calculate k(v).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**(-8)))\/x)\/(x*x**(-2\/7))*(x**7\/x)**26 assuming x is positive.\nAnswer: x**(1024\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -66 - -122. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3070, -5954, -8834, -11710, -14582?\n\"Answer: 2*m**2 - 2890*m - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1855)\/252)\/53)\/((-30)\/16).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 65030 > 65031?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2b0 - -1?\nAnswer: 2b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 55*i + 33. Let g(q) = 119*q + 67. Let h(x) = -6*g(x) + 13*n(x). Determine h(-13).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k = -4*k - 8*k. Let d(c) be the third derivative of 25*c**2 + 1\/15*c**3 + 0 - 1\/75*c**5 + k*c + 1\/525*c**7 + 0*c**6 + 0*c**4. Factor d(a).\nAnswer: 2*(a - 1)**2*(a + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*v = -134*v + 12. Suppose -5*s = -1188 + 343. What is the remainder when s is divided by -5 + (-384)\/(-7 + v)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -15*n**2 - 275*n + 250 - 22*n**3 + 7*n**3 + 79*n**3 + 5*n**4 - 29*n**3 = 0.\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d**2 - 66*d**2 - 1015 + 1015.\nAnswer: -72*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9101? (a) 1 (b) 23 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13640 - -23203. Let f = 16510 - b. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 73*p + 1227. Let v be j(14). Solve 2*l - v = 11*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 65.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1985382 is divided by 328.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (169 - 150) + (-3 - 66)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 280 and 318500?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5004870 divided by -313?\nAnswer: -15990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y + 17. What is a(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11990777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**14)\/n*n*n**28)**(31\/4))**(-4\/7) assuming n is positive.\nAnswer: n**(-1333\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 160, -2288 in descending order.\nAnswer: 160, -1, -2288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 + -7. What is the common denominator of -11\/4 and 2\/(-5)*(-1380)\/m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 10*6 - (-3 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 - 5*i**2 - 515*i + 515*i.\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3254 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 234*w**5 + w**2 - w + 81 wrt w.\nAnswer: 4680*w**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*sqrt(567))\/(-2*1*sqrt(81)).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of d**6\/24 + d**5\/15 + 2*d**3\/3 + 4*d**2. Let r(b) = -4*b**3 - 3*b**2 - 3. Calculate -3*h(t) - 4*r(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + 2 + -5 + 0 + 14 - 51.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -9. Let k = -1 - w. Let a = 12 - k. Solve 5 = -a*p - 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1725, -3494, -5369, -7404, -9653?\n\"Answer: -9*y**3 + y**2 - 1709*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47895 + 7430. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/861 and 7\/12?\nAnswer: 3444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*q = 3*q + 27, 3*g - 31 = 5*q. Let d = 2 - g. Let h(c) be the second derivative of -c**4\/12 - 9*c**2\/2 - 22*c. Give h(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 0 + 0)*(4*u**2 + u**2 - 3*u**2) + (0 + 0 + 2*u)*(-u**2 - 1 + 1) + 2*u**2 - u**3 - 2*u**2 - u**3 + 3*u**3 + 6*u**3.\nAnswer: 9*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) + (sqrt(77) - (sqrt(77) + -1*sqrt(77)*-5 - sqrt(77)) - sqrt(77)))*6)\/(4*sqrt(77)\/sqrt(7)*-1))**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119)\/sqrt(7) - sqrt(17)) + -5 + sqrt(2057)*-2)*-5.\nAnswer: 25 + 110*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2159 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = -5*u - 4*r + 28, 22 = -4*u - r for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(90\/3)*3*2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 143043\nAnswer: 143043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -20205818.09 to the nearest 10000.\nAnswer: -20210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 2. Let x be c(-5). Let q(f) = -42. Let r(u) = 4*u + 213. Let d(b) = -5*q(b) - r(b). Let l(t) = t**2 - 3*t - 2. Determine x*l(n) + 2*d(n).\nAnswer: -3*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -43, -3, -773 in increasing order.\nAnswer: -773, -43, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11685 and 12915?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**4 + u**4 - 5*u**4 + ((-2 - 6 + 4)*(1 + 0 - 2) + 2 - 7 + 4)*(u**3 - u**4 - u**3) to c*u**2 + x + t*u + b*u**4 + i*u**3 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 20020443 (base 5) in base 12?\nAnswer: 77273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196497669.\nAnswer: 3, 2269, 28867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 27329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-198)\/231)\/((-9)\/84)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 1\/3 (b) -1 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.7 - 0.3. Suppose 18 = -4*m - 102. Let v be 86*(-1)\/m + -3. What is the closest to 0.1 in 0.3, v, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-5*-1*-6*(sqrt(15)\/(2*sqrt(3)))**2.\nAnswer: -75\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 5*l - 0*l + 490, -5*l = -u + 250. Suppose -2*o - 2*o + u = 0. Round o to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 81970.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*n + 5775 = 141*n for n.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -630*k + 26. Let m(q) = 126*q - 5. Let r(c) = -16*m(c) - 3*y(c). Let x be r(-1). Let d = x + -53. Does 25 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000119076173 rounded to 7 decimal places?\nAnswer: -0.0000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 3) + -6 + 11 + -14.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 234*o + 230*o + 72, -w + o + 12 = 0. What is the highest common factor of 25 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a + 10. Determine d(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6306200 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15924 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 5*g + 502, -5*j = -3*j - 2*g - 328. What is j rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -14*t**2 + 8*t**2 - t**3 - 3*t + 2*t + 7*t. Let n be z(-7). Suppose 3 = 4*l - n*l, -4*m + l + 57 = 0. What is the greatest common factor of 84 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -5, 2, 3\/5, 5, 1\/270?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/152, 0.5 in descending order.\nAnswer: 2, 0.5, 1\/152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 9*f**2 + 3*f + 1. Let c = 107 + -105. Let i(x) = -7*x**2 - x + 7*x**c - x**2 - 1. Let v(y) = 2*i(y) + s(y). Determine v(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d + 9 + 2 + 17 + 0*d. Let y be p(22). What is the second derivative of -y*h + 29*h + 5*h**2 - 3*h wrt h?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-4) + (-49)\/4. Let w = 8 + q. Let h = w - -6. Solve h*l + 0 = 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 c when four letters picked without replacement from {c: 7, y: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138 + 130 + 7*x**2 - 268.\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10018*c + 20050*c = 10018*c - 70 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, u: 1, j: 3, e: 2, t: 1}. What is prob of picking 3 w?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 20 and -5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 210\/455 + 22\/(-104).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from idffndpppp.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)*2 + 4)**2 + sqrt(1331)*1 + -4.\nAnswer: 107*sqrt(11) + 1596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4*(-10)\/80 + (-8)\/(-33) and (82\/88 + -1)\/(18\/340)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*f = 28, -f = -2*f - 4. Suppose 4 = 2*u + v*z, 3*z = 5*u - 8 - 2. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*k**6 + 58*k**4 + 2*k**3*r + 27*k**2*r + 11 wrt k.\nAnswer: -1440*k**3 + 1392*k + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -3*j - 9. Let q = j + -5. Suppose 14 = o - 5*v, 5*v = q*o - o - 70. Calculate the remainder when 81 is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/2)\/(374\/68) + (-132)\/242.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2331 + -1452. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2738530*w**4 - 1304*w + 754 wrt w.\nAnswer: -32862360*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by -96.\nAnswer: -11\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1754329 minus 57239?\nAnswer: 1697090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 18*s**2 - 870*s - 3298. Determine r(24).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 - -28. Let k = 37 - a. Let d = k + 25. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 64*f - 11. Let l(j) = -40*j + 7. Let i(q) = 11*l(q) + 7*s(q). Let w(u) = 917*u. Determine i(w(t)).\nAnswer: 7336*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -9*f**3 - 8*f**2 - 6*f + 7. Let o(t) = t**3 + t**2 + t - 1. Determine -g(a) - 6*o(a).\nAnswer: 3*a**3 + 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -235086 (base 13) to base 5\nAnswer: -203324424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101111010 + -100?\nAnswer: -101111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 6 = 0, 2*y - 5*p - 21 = -y. Suppose -2*k + 5*k + 5*d = 113, -112 = -3*k - 4*d. Calculate the greatest common divisor of y and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 47 - 20 - p.\nAnswer: -p + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5*v - 43. Let d be i(-8). Let a be (d + -1)*1\/(-2). Suppose 4*j = 18 + 2, 0 = g + a*j - 87. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(130)*2)\/(sqrt(160)*-2) - (-1 + (-1*sqrt(117)*-2 - sqrt(117))\/sqrt(9))) + -5.\nAnswer: -4 - 3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3))\/(5*(-7)\/63).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 266 and 13816306?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99903 = -9*k - 99831 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**2 + 5*o + 5. Let u(t) = t**2 - 2*t - 2. Let j(i) = 2*b(i) + 5*u(i). Suppose 0 = -z + 6*z - 20. Let h(p) = 0*p + z*p - 2*p. Give j(h(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 3723.7 to the nearest 100.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1543*(14 + -17)*1\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.04 + 0.04. Sort y, -2, -0.4, -1 in decreasing order.\nAnswer: -0.4, -1, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 0.5 (c) -1320\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + p = -35, 0 = 5*i - p + 3*p - 34. Let r = 8 - i. Solve -k - 1 = -r for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 3*t + 3 = 0, 2*t = -4*a + 3*a + 11 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssizssszssiz. Give prob of picking 3 z.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a58 (base 11) in base 8?\nAnswer: 7537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 1 - 9. Let m = 3 - d. What is the remainder when 24 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + (12\/(-3) - 10). Let b = -8 - j. Suppose 0 = b*s + 5*a, 8 = 5*s - 2*a - 27. What is the second smallest value in s, 0, -2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or -7889056?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*u = 3 + 5, 2*o + 16 = -4*u. Let p be 5*(16\/10 + 0). Let k(i) = i**3 + 2 - i + 0*i**3 - p. Calculate k(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279*v - 5044 = 1931 for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnyyyngggyn. What is prob of sequence yyg?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1452 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a kilogram in grams?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 237.817879 rounded to 2 decimal places?\nAnswer: 237.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - v**2 - v + 4. Let o be s(0). Let i = 9 - o. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -34 - (18 - 30) - 71.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/5*1\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8303 - 22377 = -40*l. Is l a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 144 - 34. Suppose -114 = -1642*q + 1639*q. Calculate the remainder when d is divided by q.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/8*3*2\/9.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**4 - 2*y**4 + y**4 + 0*y**4 + 6*y**4 + 6*y**4 + (-1 + 1 + 4*y**2)*(-3*y**2 + 7*y**2 + 3*y**2) + y**2 - 4*y**4 - y**2 - 3*y**4 + 4*y**4 + 0*y**4.\nAnswer: 39*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {k: 2, h: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2238567*v. Let l(o) = 220*o. Calculate l(t(x)).\nAnswer: -492484740*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 16*z + 15. Suppose -5*n = 12 - 87. Let j be q(n). Suppose 1 = 2*y - c - 2, -5*c - 15 = j. Solve 0 = 2*u - y + 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + -2. Suppose -13 = -2*u + 4*r + r, -3*r = -4*u + f. Suppose -5*b - u*z + 50 = z, 4*b + z - 43 = 0. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 3*r**2 + r - 2. Let u be v(2). Suppose -2*q = u*q - 36. Solve -q*w + 3*w + 3 = 0, 3*w = -3*y + 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + 3\/5 + -1. Suppose -3*r = 2*r - 10. Are r and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) + sqrt(84)\/sqrt(4))*-5)\/((sqrt(7) + sqrt(343))*2).\nAnswer: -5*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000060390812 rounded to 7 dps?\nAnswer: -0.0000604","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m + 34*m + 29*m = 495 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of b**4\/14 + 536*b**3\/3 + 2500*b**2\/7 - 1608*b. Suppose w(a) = 0. Calculate a.\nAnswer: -1250, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108670605, -108670612, -108670619, -108670626, -108670633?\nAnswer: -108670640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 1631830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3944113 and 939?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*o**5 + 201*o**3 + 7*o**2 - 436*o wrt o?\nAnswer: 1080*o**2 + 1206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -72*j**2 + 3*j**3 - j**3 + 143*j**2 - 70*j**2 - 5*j to the form a*j**2 + l*j + c*j**3 + y and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2\/9*w + 4\/9 - 2\/9*w**2 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*z + 276 = -117*z + 100 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 - 2.4292?\nAnswer: 49.5708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -11*k**3 + k**2 - 1. Let n = -8 + 2. Let c be (2\/3)\/(4\/n). List the prime factors of h(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9\/6 + -2)*-10. Suppose o*r - 4*r = 68. Let k = r - 45. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/2 - -1)*(-40)\/(-6). What is the greatest common divisor of 10 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1006 - 2270 + 343*o**2 + 1264.\nAnswer: 343*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4c + -11?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.07 - -0.07. Let b = t - -1.05. Round b to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 368699137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -14*c**2 - 219*c - 221. Determine j(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 + 30 = 4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 2*z + 5, 0 = -4*y + 2*z - 7*z - 17. Let f = y + 1. Let s be f\/7 + 2\/7. Solve -5 = -s*t - t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 12*u**2 + u. Let f be (4 - -1)*1 + -1. Suppose 4*r = -0 + f. Calculate g(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1218*b**3 + 2429 + 7*b - 4851 + 2422 - 7*b.\nAnswer: 1218*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 61\/(-8) + -6 + 6 - -7. What is the closest to 1 in -2\/5, 0.1, c, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fgfv when four letters picked without replacement from {g: 5, j: 8, v: 2, f: 2, b: 3}.\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-616)\/(-182)*(-2)\/11*1\/4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 0.9. Let j = 425835 - 425835.1. What is the closest to j in -10, d, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 77\/11*(-190)\/(-35).\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uy when two letters picked without replacement from yrprrukzyppr.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7662*c + 281*c - 12600*c.\nAnswer: -19981*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 10409395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r - 3. Let z be p(12). Suppose -z = -3*x + 21. Is x a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11762776 + 25347116 - 3190747 = 293*s. Round s to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a9a0 - -16346?\nAnswer: 36236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjllll. What is prob of sequence lll?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 48026768 divided by 8912?\nAnswer: 5389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l**2 + 2*l - l**3 - l - 6 + l + 0*l. Let i be p(-4). Suppose -4*m = -q + 800 - 295, -i*q + 5*m = -1010. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 2 - 8*y**5 + 7*y**5 + 3*y**5)*(1 - 3 + 4)*(-17 + 68 + 55).\nAnswer: 424*y**5 + 212*y + 424","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 881059337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26609 - 532291\/20. Let s be ((-6)\/(-5))\/((-1)\/566). Let j = s + 40327\/60. Find the common denominator of q and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4473)\/1065 + 518\/(-35).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**3 + 45*d**2 - 2673*d + 2. What is u(27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - u**3 + (2 - 2 + 2*u)*(-4*u + 4*u - 2*u**2) + u**3 + 0*u + 0*u - 2*u**3 + 10*u**3 + 4*u**3.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 16. Suppose -3*n = -x*j - 5*n + 100, -4*n = 0. What is the tens digit of (-4)\/j - 266\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (4 + (-4 - -8) + -3 + (164 - 101)).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2190 - 2193. Suppose -5*f = 3*y - 25, 2*y = -2*y - 3*f + 15. Which is the third smallest value? (a) -3\/4 (b) g (c) y (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b + 56. Let z(w) = w**3 + w**2 - 5*w - 2. Let g be z(-3). Let f(h) = -h - 37. Let u(t) = g*k(t) - 8*f(t). What is the first derivative of u(j) wrt j?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1035*m = -1603*m - 1096*m - 231508 for m.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2*((-596)\/8 + 1))\/1. Let c = 156 - a. Let y = -19 - -31. Calculate the lowest common multiple of y and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/2*((-14)\/(-56) + (-5)\/(-12)). Which is smaller: -8\/167 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-266 + 156 + 156)*(37*m - 91*m + 37*m).\nAnswer: -782*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -12*y. Let w(o) = 1171*o. Calculate l(w(s)).\nAnswer: -14052*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 + 2 + 2)*(-1 + 0 - 1) + (1 + 3 - 5)*(7 - 4 + 6))*(2 + 2*r**3 - 2).\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 y when two letters picked without replacement from tytyy.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -106 + 22. Suppose 3 = 5*g - a. Calculate the least common multiple of g and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*l**4 + 239764*l**3 - 599448*l**2 + 359676*l = 0. What is l?\nAnswer: -29973, 0, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uuuuuuuuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 504 and 392?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - -659)*6\/9. Let r be q\/15*(-30)\/(-4). Let m(y) = 2*y**2 - r*y + 220*y. Let j(s) = 7*s**2. What is m(j(u))?\nAnswer: 98*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -11*j**2 - 3988*j + 211738. Determine a(47).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 28\/16 - -1)\/((-9831)\/131080).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*o + 15 = -5*o, -2*o - 10 = 5*r. Solve r*s + s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.3 - 38.3. Let j = 40 + s. Which is the smallest value? (a) -0.3 (b) 0.2 (c) 2 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -327*v**2 - 3686*v + 3686*v.\nAnswer: -327*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 0*m**4 - 37 + 0*m + 4*m**2 + 0*m**3 - 36\/5*m**5. What is the second derivative of a(f) wrt f?\nAnswer: -432*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 399 and 21261.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 879523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)\/sqrt(27) - sqrt(102)\/sqrt(2)*1)\/((sqrt(3) + sqrt(75) + (sqrt(75) - sqrt(75)*-2) - sqrt(3)) + sqrt(243)*1).\nAnswer: -2*sqrt(17)\/87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1))**(-46))**(-2\/5)*(j**(-1\/3))**(3\/47)*((j\/(j*(j\/(j**(2\/7)\/j*j))\/j*j)*j)\/j)\/(j**0\/j) assuming j is positive.\nAnswer: j**(-29833\/1645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 18*p - 1. Let r be f(1). Suppose -s + r = -5*y, 2*y + 16 = 5*s - 0*y. Sort s, 4, 5.\nAnswer: s, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 35*r + 243. Calculate f(-6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 67 = -25. Let j = p - -48. Calculate the remainder when 3 + 61\/j + (-1)\/2 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11488 - -11511. What is the remainder when z is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -19. What is the nearest to 2 in 1, o, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 10. Let s(v) be the first derivative of 3 + 0*v**2 - 3\/14*v**4 - 6\/35*v**5 - 1\/21*v**6 + 0*v - 2\/21*v**u. Solve s(l) = 0 for l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 193311930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8621?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34292 - -4115179\/120. Find the common denominator of y and -1\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 180401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 11400000 = z. What is z rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/((-6)\/8) - 150\/(-42). Which is the nearest to 3? (a) -2 (b) y (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/12731?\nAnswer: -2\/12731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - u - 1. Let w(r) = -3*r**2 - 5*r + 12. Determine 4*s(x) - w(x).\nAnswer: -x**2 + x - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -277949 + 411795. Is n 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 kvkvcikcikki. What is prob of sequence cv?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**4 - y + y**2 + y**2 - y + 1 in the form g*y**2 + w + r*y**4 + a*y + j*y**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 2*b + 40. Give s(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kew when three letters picked without replacement from ewwrkweerrrrrrwkew?\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*y + 4 = -13, y = 5*d - 16. Solve 2*u = -1 - d for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/5689699?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.47 - 6.\nAnswer: -5.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46 - -57. Suppose 2*y - m = k + 174, -3*m + 165 = 2*y. Suppose 132 = 3*l - y. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/102 - (-1678)\/3*57\/(-228)?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -954 + 954.5. Put 7, i, -5, -1 in descending order.\nAnswer: 7, i, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 2:04 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/11, -92, 3, 2\/11, -0.1, 3\/46?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37\/3, -80, -5.\nAnswer: -80, -37\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2387 is divided by 61?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1342?\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1054 + 333. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(13*-4))\/(3\/(-12))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((20\/(-200))\/(3\/30))\/(2\/(-22)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -450\/91 + 33\/7. Let y = n + 60\/91. Sort -3, -0.5, y in increasing order.\nAnswer: -3, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-16 + 11 - -4)) + 7\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1985, -0.0136, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 4*b + 27. Suppose -8*a = -5*a - b. What is the remainder when (1\/a)\/(3\/459) is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -401.7 less than 20.5?\nAnswer: 422.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*g - 177 - 91 = 148 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 1\/4 (c) 536 (d) 203\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3335841 divided by 1111947?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 571055\/1529768 - -111\/4447. Let l = f - 1\/43. Solve l - 3\/4*a + 3\/8*a**2 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100666281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8\/6 - (-2380)\/51 is divided by 46.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p**2 - 6*p + 1192. Let j(o) = -o**2 + 2*o - 2. Give 3*j(m) + y(m).\nAnswer: m**2 + 1186","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4750200 or -4750201?\nAnswer: -4750201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1666 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of 145*x**2 + 0 - 7\/24*x**4 + 0*x - 1\/60*x**5 - 5\/6*x**3. Give t(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/9)\/((-2)\/(1\/1)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3900000 = -g. Round g to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/((-16)\/26))\/(83\/(-664)). Let t = -1 + 1. Suppose t = 2*g + 24 - 102. Calculate the greatest common factor of m and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -74*l**2 + 18868*l + 511. What is y(255)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -33\/67768 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/9*(810\/54)\/135?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o + 13 - 5 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**2 + 4*p**3 - 6*p - 482456 + 6*p + 482042 to z*p**2 + v*p**3 + i*p + d and give d.\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -82*q + 61*q - 21. Let c(p) = -6*p - 1. Let a(y) = -y - 1. Calculate q*c(z) + 5*a(z).\nAnswer: z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 27.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 918, -19, -5, -232 in ascending order.\nAnswer: -232, -19, -5, 918","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12088 - -3?\nAnswer: 12091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (33 + -13 - (-23 + 46 + 23)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3*v = -31, 4*v - 2 - 6 = 0. Suppose 3*l = -f - f - 10, 25 = -s*f. What is the nearest to 0.1 in l, 0.4, 0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -1.6?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -14+19503\nAnswer: 19489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 2*a - 42. Let n(y) = -6*y**3 - 4*y**2 - 10*y - 9. Let v(b) = -5*b**3 - 3*b**2 - 9*b - 8. Let z(s) = a*v(s) + 6*n(s). Give z(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = l - 12, 3*z - 2*l - 34 = 22. What is the remainder when 29\/(-3)*12\/(-4) is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113132 - 1232022?\nAnswer: -2011220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -16089?\nAnswer: 4\/16089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62\/20*24738\/54777.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 87480*z + 176. Let u be m(6). What are the prime factors of 4\/(-11) + u\/616?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1392, -4, -183, -8 in increasing order.\nAnswer: -183, -8, -4, 1392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, -0.3, 2\/3, -5\/7, 2\/13 in decreasing order.\nAnswer: 4\/5, 2\/3, 2\/13, -0.3, -5\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) -4 (b) -0.03 (c) 4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o**3 - 5 - o**2 - 746*o**4 + 759*o**4 + 3 to l + m*o**2 + a*o**4 + z*o**3 + y*o and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122 + -35.7182716858.\nAnswer: -157.7182716858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 343 a factor of 478050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 44.2363 * -0.5\nAnswer: -22.11815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(891) + 1 - sqrt(55)\/(sqrt(5) - sqrt(15)\/sqrt(3) - sqrt(5)).\nAnswer: 1 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 58.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 265009 = -d, -5*a - 752499 = 4*d + 307516. Round d to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 113 = 113. Solve s = -f - f + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 58\/(-15) - (-154)\/(-1155). Sort 3, -5, w, 5 in ascending order.\nAnswer: -5, w, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11562 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.20628 and 1626.\nAnswer: 1626.20628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 862134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5016, 5010, 5016, 5046, 5112, 5226?\n\"Answer: 2*i**3 - 6*i**2 - 2*i + 5022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.459468 rounded to two dps?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 - 15*f**2 + 5*f**2.\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -7*k + 5*k - 10*k + 6. Let f be i(-5). Let n(s) = -s - 9. Let c be n(-15). Calculate the highest common factor of f and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12498 = 1530*h - 8984 + 6182 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 8*n + 2. Let t be k(5). Let u = -18 - t. Which is the second smallest value? (a) -3 (b) -4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c - 7. Let o be v(-6). Let z = o + 12. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 550\/(-375) + (-4)\/(-5)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - ((-48)\/5)\/3)\/(0 + 2). Let j be (1\/3)\/((-2)\/6). Which is the nearest to 8\/9? (a) p (b) 5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 2, s: 5, e: 1, q: 2, x: 2, z: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**3)**(-19\/4)*(o*o**(-3\/2)\/o)**(2\/77) assuming o is positive.\nAnswer: o**(1457\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 0 + 1\/2*h**4 - 3\/5*h**5 + 3*h**2 + 5\/2*h**3 - 16*h - 2\/5*h**6 - 1\/14*h**7. Suppose t(d) = 0. What is d?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -244.2 - 5?\nAnswer: -249.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u. Let z be n(-1). Let m be -2 + 33 - (485 - 455). Which is the nearest to -2? (a) m (b) z (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182271.\nAnswer: 3, 60757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1742775 by 69711.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -55403 + 4?\nAnswer: -55355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + k**2 + 2*k**3 + 6*k**3 - 2*k**2 - 4*k**3 in the form d*k**3 + i + a*k**2 + g*k and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.6 - 0.4. Let z = 1.59 - 5.59. Let j = n - z. Put -0.4, j, 4 in increasing order.\nAnswer: j, -0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5229, -9720, -21875, -45516, -84465, -142544, -223575, -331380?\nAnswer: -469781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h - 758 = 166. Suppose 0 = 3*q + 3*q - 102. Calculate the remainder when h is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 53*k - 41*k = 8*k - 48 + 4, -6 = -4*p + k for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.06, -1\/3, 5, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 18*g + 17. Let j be n(-16). Suppose 2*q + q - 4*c - 34 = 0, -5*q + j = c. What is the smallest common multiple of q and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6150*s + 5312*s - 8701*s - 8163*s to o*s + i and give o.\nAnswer: -17702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286*q + 1 - 41 = 288*q for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36283 = -109*n + 22004 for n.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*y - 242 + 242.\nAnswer: -11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (16\/28)\/4 + (-220)\/(-28). Suppose -420*j = -424*j + y. Which is the nearest to 1? (a) 4 (b) -11 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -105 - -320\/3. Let s = 2498 - 22520\/9. Find the common denominator of s and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67 - 19. Is 22 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -39*r**4 - 20. Let b(f) = f**4. Let s(d) = -2*b(d) - t(d). Differentiate s(l) wrt l.\nAnswer: 148*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjjjtcccjjjctyc. What is prob of sequence tm?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 25. Let s(x) = -x. Let q(n) = m(n) + s(n). Let f be q(14). Suppose -28388 + 2307 = -f*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-6))\/((-5)\/(-45)). Let k = w - -5. Suppose k = -m, 0 = 2*j + m - 15 - 49. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t**3 + 5*t**2. Let w be c(2). Let z be ((0 - -4) + 0)*90\/w. Let v = z - -96. Solve v*h + 15 = h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 323020 - 2?\nAnswer: 323012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -37. Let k(n) = -n**3 + 8*n**2 + 7*n - 19. What is the remainder when k(8) is divided by g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 33360, 33364, 33370, 33378, 33388, 33400?\n\"Answer: k**2 + k + 33358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40824878 a multiple of 228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -87524, -87522, -87520?\n\"Answer: 2*x - 87526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-234)\/520)\/((-6)\/(-16))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6836460 by 116.\nAnswer: 58935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30\/(-7)*(1 + -337). Suppose t = 75*v - 70*v. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -4*u - 20, 0 = 4*r - 5*u + u - 16. Suppose n + 2 = b + 18, 0 = 3*n - r*b - 44. Solve -m + n = 3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 8 = 6*q. Which is bigger: -4\/3 or q?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5702, 5692, 5668, 5624, 5554, 5452, 5312, 5128?\nAnswer: 4894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -1664*s + 5*s**3 - s**3 + 942*s**2 - 1252*s**2 - 514*s**2 = 0.\nAnswer: -2, 0, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/5 + (-99)\/165. Solve d*y - 9 = 3*y, -5*n + 4*y + 2 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -60.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 7*j**2 - j + 9. Suppose -4*y + 23 = -5*l + 4*l, -4*y = -5*l - 3. Let v be z(y). Factor -2 + 7*u**3 + 3*u**v - 10*u + 3*u + 3*u**4 + 4*u.\nAnswer: (u + 1)**3*(3*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8285 divided by 1657\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 + -72 - (8 - (-7 - -2))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 9:45 AM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 7*j**3 + 3*j**2 - 4*j - 2. Let a = -20 + 6. Let t = 16 + a. What is the tens digit of l(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 292155.\nAnswer: 2045085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**2 - x + 3*x**3 + 2*x**2 + 2 + x**2 - 5*x**2 + 24*x**4 - 2*x**3 to j + b*x + v*x**2 + f*x**4 + a*x**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -11 (b) 4 (c) -2\/15 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14120324 (base 6) in base 9?\nAnswer: -806347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8940432 rounded to the nearest 100000?\nAnswer: -8900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x - x + 0*x)*(2 - 3 + 2) + (-5 - 2 - 22)*(5*x - 12*x + 10*x) + 0 + 0 - 2*x to the form i*x + f and give i.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from itbbttybbiytbnttb. Give prob of sequence ttyt.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2482*p**2 - 4926*p**2 + 9 + 2445*p**2. Calculate u(-5).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 2*r + 2*y - 19, 5*y = -r + 28. Suppose 0 = 3*c - 4*c + 1. Solve 2*g = r + c for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-73)\/4)*(-94 + (-10260)\/(-114))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 157 + -163. Let m be (-48)\/40*30\/v. Solve -k = 2, 4*y + m = 5*k - 2*k for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 27*k + 27026 = -68544. Is 20 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -611681.7937 + 611706.39370201. Let j = -24.6 + k. Round j to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9965, 2, -3, 69, -2 in descending order.\nAnswer: 9965, 69, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6629103 to the power of 1\/3, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(2*q + 3 - 3)*(0*q + 0*q - 2*q**2) + (3 - 3 + 1)*(3*q**3 + 0*q**3 - q**3) + 3*q**3 - 3*q**3 - q**3.\nAnswer: 9*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 935720.6 millennia to centuries.\nAnswer: 9357206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6985 or 1\/4?\nAnswer: -6985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) - (-1*sqrt(1584) - sqrt(1584))*1 - (-3 + (sqrt(1584) - (sqrt(1584) + sqrt(1584)*-3))))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6296553 divided by -9\nAnswer: -699617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s**2 + 3*s**2 + 0*s**2)*(-s**3 - s**3 + s**3 + (3*s - s + s)*(s**2 + 3*s**2 - 3*s**2)).\nAnswer: -6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c**3 + 351*c**2 - 64*c**3 - 361*c**2.\nAnswer: -59*c**3 - 10*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g*x**5 - 207*g*x**3 + 2*g*x - 2*g + 5157*x**3 + 267*x + 225 wrt x.\nAnswer: 40*g*x**3 - 1242*g*x + 30942*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (0 + (4 - 2)) - -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353 = 7*k - 3*z + 432, 4*z + 68 = -4*k for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 497073.2 millennia?\nAnswer: 49707320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 3*j + 16, -4*h + 38*j - 43*j - 2 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(-4*z**4 + 12 - 12) - 3*z**2 + z**4 + 3*z**2.\nAnswer: -7*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 - 42. Let z(p) = -p**3 + p**2 + 2*p + 89. What is the units digit of z(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 7*x = -10. Let p be 11913\/21 - x\/(-35). Suppose -5*j + p = 2*g, 2*g - 4*g - j + 579 = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4736 + -4735. Let y(w) = 55*w**3 + w**2 - 2. What is y(p)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 57\/5 of a millennium?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320 is divided by -15*28\/(-210)*18?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + y = 4*y - 67, 0 = 3*d - 4*y - 19. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20878 is divided by 197?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 141*f - 592. Give i(4).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**2 - 8 + 8)*((-2 + 0 + 4)*(2 + 0 - 1) - 2 + 4 + 0 - 5 + 22 - 5 + (4 - 2 + 0)*((-2 + 5 - 1)*(-6 - 1 - 4) + 0 - 1 + 0)).\nAnswer: -120*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*u**3 - 22\/9*u**4 - 2\/9*u**5 - 50\/9*u**2 - 16\/9*u + 0.\nAnswer: -2*u*(u + 1)**3*(u + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*w - 2*w + 3*w**2)*(-1 + 1 - 1) - 6*w**2 - 6*w**2 - w**2)*(-7*w**2 + 298 - 298).\nAnswer: 112*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 0*y**2 - 2*y**2 - 7 + 3*y**2 + 7*y - 5*y. Let s be m(-6). Let o(i) = i - 1. Let a be o(6). Solve a*r = -4*v - 29, 3*r + v + s = 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(5\/(-5)))\/((-4)\/8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**2 + 42*l - 39. Let o be t(-22). Solve 5*a = 5*g - 7*g + 20, 0 = -g + o*a - 20 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 43\/59, 27\/19, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.41 + 8.91. Let g = 8 - l. What is the third biggest value in g, 5\/4, 1\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 222.19 + -224. Round s to one dp.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -y**4\/12 + 11*y**3\/6 - 4*y**2 - 4*y. Suppose 10 = b + 4*b. What is the smallest common multiple of q(8) and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 divided by -33?\nAnswer: -46\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + (4363 - 4\/(-2)). Suppose -28*u + 17*u = n. What is u rounded to the nearest 10?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (5 - 3 - -6 - -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4 + 0 + 3 + 79*m - 52*m. Suppose -7*i + 9*i - 4 = 0. Is l(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -h**5\/80 + 7*h**4\/16 + h**3\/6 - 21*h**2\/2 + 49*h - 5. Factor s(t).\nAnswer: -(t - 21)*(t - 2)*(t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8134173, -16268346, -24402519?\nAnswer: -32536692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*p - 24. Sort -2, p, 0, -5 in ascending order.\nAnswer: p, -5, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)*-1)\/sqrt(11)*-3.\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22910.\nAnswer: 2, 5, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2. Let m(q) be the third derivative of -5*q**4\/12 - 6*q**2. Determine k(m(z)).\nAnswer: 200*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20*(2\/7)\/((-995)\/2786)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -7. Suppose -2*q = -r - 8, -r + 4*r - 11 = -q. Suppose q*m = i*b + 75, -2*m + 4*b - b = -33. Calculate the highest common factor of m and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {q: 4, r: 3, v: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**2*p)\/(p*(p\/(p*p*p**(-1\/4)*p))\/p))**(-2)*(p**0)**(-4)*p\/(p\/p**(-4\/3)*p)*p**4 assuming p is positive.\nAnswer: p**(-47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 12 + 23. Let i(b) = 23*b**2 + b - 10. Let u be i(l). What is u rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 3*s**2 - 8*s + 5. Let f be v(2). Let y(t) = 2*t**3 + 17*t**2 - 8. What are the prime factors of y(f)?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -186, -164, -142, -120, -98?\n\"Answer: 22*m - 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -14*c - 252. What is the remainder when z(-30) is divided by 77?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + -7 + 5 + (1 - (4 + 1))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.9 + -2.6. Which is the closest to l? (a) 1 (b) -4 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2 + 10*u - 24. Let s be w(-7). Suppose 485 = s*h - 155. Suppose -7*f - f + h = 0. Is f a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 64040*p*t*x - 412940*p*t + 8*t*x + 9*t with respect to x.\nAnswer: 64040*p*t + 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 j when four letters picked without replacement from {j: 1, i: 1, q: 1, y: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/2880 and -131\/192.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 88 = 3*z, 4*z = -0*z - 16. Let r = b - -42. Suppose -20 = -5*a + 3*n, 0 = 6*a - 3*a - 4*n - r. Put -5, 2, a in ascending order.\nAnswer: -5, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -r**4\/12 - r**3\/3 - 25*r**2. Suppose a = -3*p - 12, -4*a - 2*p + 3 = 21. List the prime factors of n(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*w, -2*w + 5*w + 37 = 2*u. Let z = -88 + 168. Suppose -z = 28*m - 33*m. Which is smaller: u or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 26*y - 10. Let s be g(3). What is the second derivative of s*x**2 - 6*x**2 - 27*x**2 - 7*x**2 + 2*x wrt x?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 183589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 83*j**2 - 594*j + 482. Determine s(-75).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 260 = b. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001233123 (base 4) in base 3?\nAnswer: -111200101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.39 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12151314 a multiple of 207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 46956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 4*y**2 + 4*y - 4. Let z be k(-5). Is z >= 9\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 7268*t**2 - 4174*t - 18. Let d(r) = 7267*r**2 - 4173*r - 24. Let u(q) = 3*d(q) - 4*g(q). Find the second derivative of u(l) wrt l.\nAnswer: -14542","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24513135 and 165?\nAnswer: 269644485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + 2 - (-12 + 7 + 15 + -6)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 54 (c) 11315 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 0.5 (b) 0.01 (c) -21491\/3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -26860089*-0.3\nAnswer: 8058026.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.05 + -0.35. Let b = 6.96 + -0.46. Let u = 6.1 - b. What is the smallest value in u, s, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 693 is divided by 25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 14 = -2*f, f - 14 = 4*y + 3*f for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9097*f**3*o**2*q - 128*f**3*q + f**2*q + f*o**2*q - 20*f wrt o?\nAnswer: -18194*f**3*o*q + 2*f*o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63109?\nAnswer: 223, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.05 + 0.45. Suppose 555 = 7*w + 597. Let d be 7\/w + (-28 + 14)\/(-84). Sort d, a, -1\/62 in descending order.\nAnswer: a, -1\/62, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 73 - 720b4?\nAnswer: -72041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + ((6 - 11) + 4 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**3\/13 + 16*s**2 + 4730*s\/13 - 36300\/13 = 0. Calculate s.\nAnswer: -55, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - v + 2)*(-91 + 33 - 158 + (0 + 0 - 1)*(-1 + 3 + 1)) to the form d + x*v and give x.\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 290460?\nAnswer: -1\/96820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*n**2 - 11*n**2 - 8*n**2 - 9*n**2 as j*n**2 + y*n + c and give j.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-16))\/((21\/(-7))\/516)*(-2743)\/16458?\nAnswer: -43\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33870374 to the power of 1\/2, to the nearest integer?\nAnswer: 5820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -63, -3\/5, -4\/7, -4\/3 in increasing order.\nAnswer: -63, -4\/3, -3\/5, -4\/7, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*x**2 - 3*x**2 - 12*x**2 - 2 - 4*x + x**3 - 4*x**2 - 9*x**2 - 2*x**4 to the form p*x**2 + o*x + j*x**3 + w*x**4 + h and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 7*v**2 + 5*v + 8. Let s = -536 - -539. Let l(k) = -k**2 - 7*k + 23. Let g be l(s). Give c(g).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 874 - 871. Let w = 278 - 283.04. Let d = w - -0.04. What is the nearest to b in -3, -3\/8, d?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000092724203 to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 26*y - 6. List the prime factors of w(2).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52957 to the power of 1\/2, to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**4 - 745*p**3 - 2915*p**2 - 2175*p = 0. What is p?\nAnswer: -145, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1544738 divided by -118\nAnswer: 13091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*x = 3246 + 2119. Let m = x - 137. Calculate the highest common divisor of 2 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 1:20 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 2*x - 1. What is a(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qi when two letters picked without replacement from qitqkyi.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**3 - 10*i**2 + 2*i - 3. Let d be t(5). Suppose -13*c = -d*c + 564. Let h = 149 + c. List the prime factors of h.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-157326)\/(-5070) - (-32)\/(-1040).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.6995 and 0.1.\nAnswer: -0.96995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-31)\/(-20) - 66\/88\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230*r = -225*r - 15. Let q(u) = -32*u. Let d be q(-2). What is the third derivative of -2*m**3 - 65*m**2 - m**r + d*m**2 - 5*m**3 wrt m?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(1 + 1 - 5)*(-4*q - q + 3*q).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a - 2. Let r(n) = 6*n - 1. Let q(b) = -40*j(b) - 5*r(b). Let c(m) = -5*m + 6. What is 85*c(g) - 6*q(g)?\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + -4*1 + 3. Let z = 0 - l. Let u(k) = k**2 - 21*k + z*k**2 + 25*k. Determine u(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j. Suppose -3*s - q - 3 = 2*q, -2*s = 3*q + 3. Let y be l(s). Suppose y = -3*p - 5 + 65. Solve 4*x + p = -4*h, h + 3 = 4*x - 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2011 + 13?\nAnswer: 2030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/2 - 2) + 3. Is r <= -2\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187823877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -76.4137 rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 178463 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2 + 8 + 8*m**2 + 3*m - 3*m - m**3. List the prime factors of a(8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 161, 316, 469, 620, 769, 916, 1061?\n\"Answer: -n**2 + 158*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.01 - -0.12. Let p = z + 4.87. Suppose 18 = -4*l - 2*m, -2*l + m = l + 16. What is the second biggest value in p, 0.7, l?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 552 divide 160644144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -28*j**2 - 121493*j + 14189191 wrt j.\nAnswer: -56*j - 121493","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 451763163?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.08 - -1. Let z = u + 0.1. Let y = 0.28 + z. Put y, -0.2, 0.2 in ascending order.\nAnswer: -0.2, 0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(4\/9)\/(p\/(p\/(p\/(p*(p**(-2)\/p)\/p)))))**21\/(p**(1\/3)\/(p**(-6)\/p)*(p\/(((p\/p**1)\/p)\/p))**(-1\/3)) assuming p is positive.\nAnswer: p**(-81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 51*z**2 + 34*z + 145. What are the prime factors of a(-5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*i**2 - 14*i**2 + 2*i**3 + 9*i**3.\nAnswer: 11*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 934, 455 in decreasing order.\nAnswer: 934, 455, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 2\/7, 1\/58, 24\/47, 7?\nAnswer: 24\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - 1. Let z(f) = 8 - 53*f - 1 + 49*f. Let r be z(4). Which is smaller: c or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -9, -13 in decreasing order.\nAnswer: -3, -5, -9, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0*q + 10 = 3*q, -4*q = -5*d + 2. What is the third biggest value in d, -5, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15913271219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h + 2*a - 6, -2*h - h = a - 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -2*k - 0*k + 2680, -4*k + 2*b + 5356 = 0. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (806*v**3 + 8*v - 1046*v**3 - 9*v)*(-3 + 3 - 1)*(-3 + 1 - 1) to the form f + a*v + w*v**2 + t*v**3 and give t.\nAnswer: -720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 871249 is divided by 3720?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-110 - -114) + (-1 - -3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 5. Let r = 2 + 1. Factor -l*w**r - 6*w**2 + 7*w**2 + w**3.\nAnswer: -w**2*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m - 6*m + 2*m)*(3*m - 2*m + 0*m)*(2*m - 3*m - 7*m) - 3*m**3 + 3*m**3 + m**3 to v*m**3 + w + i*m**2 + n*m and give v.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -20*k - 7. Let h be r(-7). Suppose 3*n - 5*o - h = -12, 4*n - 4*o = 156. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*n - 2*n. Suppose -9*f + 8*f = n. Suppose 3*s + 3*g - 17 = s, -g = -5*s + 17. Solve 4*r + s*i - 2*i = 22, r + 5*i - 10 = f for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 561892520?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0*p*p*p**(-2\/21)*p)\/(p*p\/(p*(p\/((p*p\/(p\/(p*p*(p*p\/(p\/p**(-2\/3)))\/p)))\/p))\/p))**(-1) assuming p is positive.\nAnswer: p**(110\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 87*h + 17. Determine w(-1).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ovmxnmol. What is prob of sequence nmx?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -844797*l + 827032 wrt l.\nAnswer: -844797","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 + 314?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*u = 30*u + 16. Suppose 2*z + 2*z = -24. Let g(m) = m**3 + 6*m**2 - 2*m - 6. Let o be g(z). Solve 16 = u*f + o for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13\/36 in 2, -2\/19, 43.7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 309 + 400 + 203 - 912 + 3*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 43833.59425 rounded to the nearest 100?\nAnswer: 43800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 247330?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 667 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 0.10953214243?\nAnswer: 11.10953214243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 2*p - 2918396, 1459196 = -10*l + 9*l + 2*p. What is l rounded to the nearest 10000?\nAnswer: -1460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-62 - -5)*14\/147 + 5. Let h be -2 + (2 - (-1 - -2)). Let o = -2\/253 - -524\/2277. What is the third smallest value in l, h, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1977?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 4*c**2 + 13*c + 5. Suppose -11*y + 24 = -15*y. Determine k(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10 - -11) + -2*(-5)\/2. Let c be (-4)\/((-180)\/5)*(3 - w). Is -0.4 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17634 a multiple of 235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (27\/12)\/((-6)\/(-32)). Suppose v = -2*v + u. Suppose v*k = 7*k - 9. What is the remainder when 7 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lpzll. Give prob of sequence lp.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2729*f*u**3 - 7*f*u**2 - 2*f*u - 498 wrt u.\nAnswer: -16374*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-71)\/4)\/((-2)\/(-3) - (-2090)\/(-2640)). Solve -278 = 70*l + j for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 165 and 6?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 68 - 62 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 - 1)*(-2*n - 2*n + 2*n)*(10839 + 419*n - 10839).\nAnswer: 4190*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*f - 2. Suppose f*x - 2*c - 236 = 0, -x - 54 + 164 = c. Let q = 5 + x. List the prime factors of q.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 7*k - 20 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41012?\nAnswer: 2, 10253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-730)\/(-292))\/((-3)\/(-30)))\/3?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/195 and -61\/39.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -96842800 rounded to the nearest 100000?\nAnswer: -96800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 16370807636.\nAnswer: -16370807641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k - 1. Let i(d) = -39. Let q(m) = -39*a(m) + i(m). Let w(f) = -2*f. What is w(q(z))?\nAnswer: 78*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 0*h = -3*h + 5, -5*a + h = 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3550.3 from 0.0622.\nAnswer: -3550.2378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24288729 a multiple of 696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m, 3*m = -2*a - m + 294. Let c(f) = -147 - f**2 - 3*f**2 + a. Let t(q) = -13*q**2. What is t(c(p))?\nAnswer: -208*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**2 - 4*t**3 - 3*t**3 + 2*t**3 + 0*t**3 to a*t + j*t**2 + x + w*t**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 838509750 to the nearest one million.\nAnswer: 839000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m - 10. Let w be r(7). Solve w*s - 17 = l, -1 = 2*s - 4*l + 1 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 1084 = 1079, 5*b - 10 = -g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 2*b + 23 = -2*t - 19, -19*t + 6*t - 13*b = 91 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 667682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 31 + 17. Suppose r + r = p. Suppose 3*q - 22 = 5. Solve -t - r = -5*t + b, 3*t + b = q for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.30387l to millilitres.\nAnswer: 72303.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2*-1*sqrt(228) + sqrt(228) + (-4*(sqrt(228)*-2 + sqrt(228)) - sqrt(228)))\/(2*sqrt(108) + 6*sqrt(108)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 370 - 199. List the prime factors of d.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.6369 minutes to nanoseconds.\nAnswer: 4538214000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -6*m**2 + 3*m - 1. Let o(h) = -13*h**2 + 6*h - 2. What is -5*l(p) + 2*o(p)?\nAnswer: 4*p**2 - 3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18*14\/21)\/((-3243)\/(-184) + -18)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-30)\/g**12*(g\/g**27)\/(g\/g**(4\/13)) assuming g is positive.\nAnswer: g**(-893\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -160694.552 to the nearest 1000.\nAnswer: -161000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**4 - 35*d - 9*d + 5*d + d**2 wrt d?\nAnswer: 12*d**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 797712423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1424 + -10?\nAnswer: -1434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y, 1 t, and 1 j when four letters picked without replacement from yytwjyn.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 5*s**2 + 2*s - 10. Let b be o(5). Let x be (0 - 1 - b\/(-3))*30. Is 2 a factor of x\/(-4)*(-17 - -19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 - -50.4. Let l = m + 0.6. Let h = -749 + 743. What is the nearest to -0.2 in -0.5, h, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.873561289 - -5.8736. Round i to seven decimal places.\nAnswer: 0.0000387","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-85702)\/8218)\/(8\/56).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 2367.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5399566021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/7 - (-1410)\/14. Suppose -5*o + 4*i + 97 = i, i = -5*o + k. Suppose 0*h + 120 = 4*h. Calculate the highest common factor of h and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 + 26*u**3 + u**2 - 7*u**3.\nAnswer: 19*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 1:25 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/4 and 41\/428?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*s + 424 + 417 + 415 - 2092 + 416 + 418.\nAnswer: 24*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1150296 and 28056.\nAnswer: 1150296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 12:15 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*10107.\nAnswer: 101.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -351989, -703983, -1055977, -1407971, -1759965?\nAnswer: -2111959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/(r\/r**(5\/8)))\/r*r)**(-4\/15))**3)**(-12) assuming r is positive.\nAnswer: r**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1550, 1565, 1590, 1625, 1670?\n\"Answer: 5*l**2 + 1545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/3)\/(-2 + 0). Solve b*g - 3 = -g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 2*d + 3. Let b be z(0). What is the second derivative of -q**5 + 10*q**3 + 0*q**4 + 9*q**3 + 123*q - 19*q**b + 24*q**4 wrt q?\nAnswer: -20*q**3 + 288*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a16 (base 11) in base 9?\nAnswer: 1613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 684*i + 84. Let f(y) = 342*y + 43. Let j(g) = 3*a(g) - 5*f(g). What is the derivative of j(p) wrt p?\nAnswer: 342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - 20.28. Which is bigger: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 767279.8 to the nearest 1000.\nAnswer: 767000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*4*(sqrt(1573) + 2)*4 - (-5 + 4 + (-2*(sqrt(1573) - (sqrt(1573) + -2)) - sqrt(1573))))**2.\nAnswer: 420398*sqrt(13) + 14839166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 76*o - 96. Suppose 0 = 4*k - s - 43, 0*s + 35 = 5*k + 5*s. What is the units digit of p(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238968 = 45*b - 598167. What are the prime factors of b?\nAnswer: 3, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7411554*v - 7411552*v = 4*z + 2, 5*v + 4 = 7*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 11*c**2 + 6*c - 6. Let g(x) = 39*x**2 + 21*x - 21. Calculate -5*g(z) + 18*h(z).\nAnswer: 3*z**2 + 3*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(119)*-3 - sqrt(119))*-4)\/(-2*(sqrt(112) - (sqrt(112) + -3*sqrt(112)))).\nAnswer: 8*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -174 divided by 2\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**2\/5 - 26*i\/5 - 12 = 0. Calculate i.\nAnswer: -2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 - 2592*c + 33659. What is t(13)?\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 12*r**3 - 2*r**2 + r. Let t be n(1). Suppose 3 = -2*d + t. Let a(f) = f**2 + 3*f**3 + d*f**2 - 4*f**3 - 6*f + 5 + 1. Calculate a(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) 0.5 (c) 1\/40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 13 = 3*b. Let y be (-8)\/(-3) + 4\/b. Determine u so that -13 - 12*u + 2*u**y + 31 + 0*u**2 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 5*f = -5*q - 14, 0 = q - 2*f - 8. Suppose 0 = 4*u - 16*m + q*m - 20, 0 = -2*u - m + 1. Solve 4 = -5*h + 14, -13 = 3*d - u*h for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.22 (b) -1065 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5 + -0.5. Suppose 0 = 5*j + 2*r - 1138, 4*r = r - 3. Let g = -2050\/9 + j. Which is the nearest to q? (a) -2\/3 (b) g (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 331*8.2343.\nAnswer: 2725.5533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d**2 - d - 12. What is a(0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 42553065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 207474*q**2 - 5*q - 3865.\nAnswer: 414948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -7*q - 4. What is f(-4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1 + sqrt(1377)*2 + -3 + 2 + (-1 + -1 + sqrt(1377))*-3*-3)**2.\nAnswer: -3960*sqrt(17) + 167020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 18 - -27?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**12)**(-27)*(g*g*g\/(g**(6\/13)*g))\/g**(18\/5))**3 assuming g is positive.\nAnswer: g**(-63582\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1265\/2 - 632. Put -55, g, -2 in decreasing order.\nAnswer: g, -2, -55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 8, 0 = f + 2*t + t + 9. Suppose 21*v = f*v. Solve v = -o, 3*w + 2*w = 4*o + 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 3:37 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -22, -4, -3\/2, 0.1, 53?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/4 - 481\/(-26). Let h = d - 16. Solve 2*s + 8 = -5*l, -4*l = h*s + 4 + 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9216 and 70272.\nAnswer: 562176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 0. Let l = b - -3. Suppose 0 = l*n + 3*n - 20. Solve -n*q = -3*q + 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2599715 and 395.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 - 31*l - 46. Let t be c(17). Calculate the highest common factor of 54 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + -1.0115784597?\nAnswer: -1.1115784597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, -59 in decreasing order.\nAnswer: 6, 5, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4181679390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 52812091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*r**2 - 3*r**2 + 5*r**2)*(84*r + 0*r - 35*r) to c*r**2 + x*r + s + y*r**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/7)\/(n\/(n\/(n**7\/n)*n)))**40 assuming n is positive.\nAnswer: n**(-1320\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42757226 is divided by 1657.\nAnswer: 1655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5255852.\nAnswer: 2, 7, 337, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d0fba (base 16) in base 2?\nAnswer: -111010000111110111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2 - 4*i - 69. Let k be z(9). Suppose 71*n = k*n + 11186. List the prime factors of n.\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1460, -5, -39208 in decreasing order.\nAnswer: 1460, -5, -39208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 12*q + 20. What is a(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -4. Suppose -16 = -4*c + z*c. Calculate the highest common divisor of 64 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a day in seconds?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3203, 0, 2\/9, -1\/4.\nAnswer: -1\/4, -1\/3203, 0, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, o: 4, t: 2, z: 5}. What is prob of picking 3 z and 1 o?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + 38. Let v = t - 36. List the prime factors of (6\/4)\/3*v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231 is divided by 226?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10, -577, -1120, -1633, -2110?\n\"Answer: n**3 + 6*n**2 - 592*n + 575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 6:14 AM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -10*s**3 - 52*s**2 + s - 218. What are the prime factors of v(-16)?\nAnswer: 2, 3, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -9980*x**3 + 9649. Let z(y) = -9*y**3 + 2. Let v(l) = f(l) + 4*z(l). What is the first derivative of v(t) wrt t?\nAnswer: -30048*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 6:57 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 9:17 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7418765020937 and 4.\nAnswer: 7418765020941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255009 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-192)\/240)\/(-3*2\/(-285))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/20 + (-120)\/(-25) + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*i + 414812 + 48. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -878 + 875.865. Let v = -0.611 - y. What is v rounded to 1 decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26130033 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbuubrlulrbbulbbubl. What is prob of picking 1 u, 1 r, 1 l, and 1 b?\nAnswer: 80\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 2\/11 (c) 0.5 (d) 194\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(11) + 2)*-6)**2 + (-1 + sqrt(11))**2 + 2) + 3.\nAnswer: -3321 - 852*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 6) in base 10?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.5 (b) -76407 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42.3 + -42. What is the second smallest value in -2\/9, j, -5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -11 (b) -0.3 (c) 5 (d) 20 (e) 0.0617 (f) -1\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*2*(-17)\/(-2). Suppose 0 = 5*r + 107 - 372. Let m = r + t. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 486 is divided by 103.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (0 - 2)) + 0 + -2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 207520 and 80900?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3 = -9. Suppose -39 = -w + n*r, 2*w + 3*r = -2*w + 186. Suppose v = w + 492. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**4\/2 - 732*r**3 + 1467*r**2\/2.\nAnswer: -3*r**2*(r - 1)*(r + 489)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5137 - 2799664\/545. Let w = 461\/45780 + n. Calculate the common denominator of w and 23\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.35 in -0.1, 1, -0.2, 7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.076 * -2.\nAnswer: -0.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7820 is divided by 486.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 76.59101m?\nAnswer: 7659.101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -472, -3\/2, 34344 in increasing order.\nAnswer: -472, -3\/2, 34344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33 or 468?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y - 4. Suppose 3*s - 3*l - l + 14 = 0, 4*l - 18 = s. Suppose s*n = -0*k - 2*k - 14, -25 = 5*n. Let u(t) = -6*t + 21. What is k*u(j) - 11*x(j)?\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/23512 and -99\/11756?\nAnswer: 23512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f + 4. Let j be i(-3). What is the greatest common divisor of j and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -10. Let g = 6820\/7 + -21425\/22. Let p = -3\/22 + g. What is the closest to -1 in 3, p, l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -120.991 - 0.009. Let n = i - -122. Which is the third biggest value? (a) 0.06 (b) 3\/2 (c) -0.3 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p - 1784 = -1734 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 946 + -901 + 0 + -82.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2.83315 * 1062\nAnswer: 3008.8053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (28 - 5) + 2\/1. Let t = x - 16. Calculate the remainder when (-50)\/(-1) + -2*(-4)\/4 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 41, 38, 23, -10, -67, -154, -277?\n\"Answer: -d**3 + 4*d + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than 218.082119?\nAnswer: 223.082119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -7*n**3 + 15*n**2 + 12*n - 12. Let p(w) = 3*w**3 - 7*w**2 - 6*w + 6. Let z(y) = 2*j(y) + 5*p(y). Calculate z(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242197 is divided by 181?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(343) + 1 + sqrt(343) + 5 + (5 + sqrt(343)*1 - sqrt(343))**2.\nAnswer: 31 + 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.68582 * -0.2\nAnswer: -0.137164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 295794206 divided by -37.\nAnswer: -7994438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 16*v**2 + 1. Let r be (3 - (3 - 1))\/(26 + -25). What is c(r)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23769?\nAnswer: 3, 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3742888?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 4 (c) -2\/317\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (413\/(-70) + 6)*-2 - 121\/(-55)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -4 - i**2 - 2 - i - 5*i. Suppose 6*n - 2*n - 20 = 0. Suppose -n*s = -c + 4*c + 38, 4*s = -c - 22. What is p(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3431597*s**2 + 3431597*s**2 - 10294792*s**2 + 3431600*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 644, 1552, 2460?\nAnswer: 3368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o**3 + 12865999*o - 25731998*o + 12865999*o.\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(847)*-3 + sqrt(847).\nAnswer: 77*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 7:53 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/10*((-294)\/54 + 6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86031434 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 131 - j + 158 - 33 to u*j + m and give m.\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*x + 2*d, 27*d - 30*d - 3 = 0. Let u = 5 - 0. Suppose 0 = i - u*i + 8. Does i = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17974 is divided by 428.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**5\/7 - 2*n**4\/7 - 18*n**3\/7 + 26*n**2\/7 + 16*n\/7 - 24\/7 = 0. What is n?\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l**2 + 5*l - 5. Let w be g(3). Calculate the highest common factor of w and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -340440 divided by 68088.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2118 - 2048. What is the highest common factor of d and 2240?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.3 + 10.2283. Let i = 0.3717 + v. What is the second biggest value in -14\/5, i, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59015978 to the power of 1\/4, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 11 = 2*f. Let o be 1 - (f\/(-3) + 287\/(-21)). Find the third derivative of 6*u**2 + 12*u**5 + 2*u**2 - o*u + 15*u wrt u.\nAnswer: 720*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9.96 and -0.06.\nAnswer: -10.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**3 + 18*r**2 + r + 12. Calculate v(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*a + 3*u + 10, -5*a = -3*u + 10. Let r(x) = -4*x + 4. Give r(a).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1197, -1422, -1647, -1872, -2097, -2322?\n\"Answer: -225*r - 972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4*d + 2. Suppose -6 = 340*s - 343*s. Let p(o) be the first derivative of 9*o**2\/2 + 3*o - 14. Determine s*p(r) - 5*l(r).\nAnswer: -2*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -4*q**3 - 696*q**2 - 12720*q - 61600 = 0.\nAnswer: -154, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 25*y**3 + 52*y + 123. Let s(j) = 24*j**3 + 65*j + 123. Determine -5*a(c) + 4*s(c).\nAnswer: -29*c**3 - 123","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11032 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13.4 - 13. Let p = -151\/6 - -149\/6. What is the nearest to p in a, 5, -12?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2. Let a(t) be the first derivative of 27*t**2\/2 + 8. What is h(a(m))?\nAnswer: 1458*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-15)\/(-29)*(-56)\/(-420)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(0 - 2) + (-3 - -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ovav when four letters picked without replacement from ioaoovvooovvovovvvo?\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32712892 and 1329.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 6:16 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -141 + 130. Let z = -6 - d. Which is the closest to 0.2? (a) z (b) -3\/2 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1318771 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - 6. Calculate the remainder when w is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -156.79 - -166.5. Let g = 2.19 + v. Let p = -12 + g. Which is the nearest to p? (a) 2\/7 (b) 3\/2 (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 minus -2390.668?\nAnswer: 2368.668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/((s\/(s**(1\/2)\/s))\/s))**(-3\/11)\/(((((s\/(s*s*s**(-8)*s*s*s))\/s)\/s)\/s)\/s**(-2\/3)))**(-4\/11))**15 assuming s is positive.\nAnswer: s**(1190\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/4*(0 - 2). Let v(w) be the first derivative of 1\/8*w**6 + 1\/8*w**2 + 1\/2*w**3 - 1\/2*w + x - 1\/4*w**4 - 1\/5*w**5. Determine c so that v(c) = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 13. Let d be 4\/10*t*-75. Suppose d = 5*i - 0*i. What is the remainder when i is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 25*s + 3. Let i(a) = 75*a + 10. Let b(q) = 2*i(q) - 7*t(q). Give b(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 104632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 11*i**2 + 11*i - 5. Let a be g(10). Let b(r) = 4*r - 1. Is 7 a factor of b(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127576 divided by 31894?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-4))\/(3\/(-48)). Suppose 2*l = 3*g - 0*g - 1, 0 = -2*l + v. Suppose u = -g*u + 44. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 178928, 1431705, 4832096, 11453909, 22370952?\nAnswer: 38657033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 21*c**2 + c - 36. Let b be a(21). Does 105 divide (-1 + -59)*((b - 1) + -12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3271523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 34121736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2. Let f be ((-12)\/8)\/((-9)\/12). Let h(i) = -i**2 + 3*i - 3. Let y be h(f). Determine k(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x. Let d(o) be the second derivative of -13*o**4\/12 - 3*o. Determine d(b(y)).\nAnswer: -13*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*l*m**2*q**2*t - 16*l*m**2*q**2 - 2*l*m*t + 7*m*q**2 + 5*m*q*t wrt m?\nAnswer: 6*l*q**2*t - 32*l*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.015, -0.0402 in descending order.\nAnswer: -0.015, -0.0402, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**5 - 9*t**4 + 11*t**3 + 21*t**2 = 0?\nAnswer: -1, 0, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, y: 3, g: 1, r: 5, q: 3}. Give prob of picking 1 r and 2 y.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -358.2048516 - -358.2. What is h rounded to 4 dps?\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*l = -9844 - 15020. What is the least common multiple of l and 296?\nAnswer: 2072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.27 - -0.03. Let w = 787 - 1571\/2. Which is the third smallest value? (a) 43 (b) g (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 56.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5*c**2 + 2*c + 314. What is the units digit of n(-22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*c**2*x**3 - 2*c**2*x + 187*c**2 + 1467630*c*x**3 + 4*c*x**2 - c*x + 192*x**2 + 17 wrt x?\nAnswer: 84*c**2 + 8805780*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10, -32, -80, -166, -302, -500, -772?\n\"Answer: -2*v**3 - v**2 - 5*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a + 5. Let m(x) = -5*x - 8. Let f(h) = 5*m(h) + 7*o(h). List the prime factors of f(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48477717577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*j + 20*j - 476 = 0. Let t = -55 - j. Calculate the remainder when t is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -333 - -343. Which is smaller: 9 or g?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6427, 12946, 19465, 25984, 32503?\n\"Answer: 6519*d - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/5)\/(d\/(d\/(d**(4\/9)*d)*d*d)))**(-44) assuming d is positive.\nAnswer: d**(-2288\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + -2 + -1)*6\/(-4). Suppose -2*m + 4*m + 4 = -3*f, -2*m - 2*f - i = 0. Which is the nearest to 2\/5? (a) 2 (b) -0.3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of 2*x**5 + x**4\/3 + 2*x**3\/3 + x**2 + 2*x. Let a be p(-2). Round a to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 30 = 5*a, -33*n = -30*n - 5*a - 24 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4, -4\/3, -0.49, 0.3, -3, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5*z**3 + 4*z**2 - 4. Let y(f) be the second derivative of -1\/12*f**4 + 0*f**3 + f + 1\/20*f**5 + 0 + 1\/2*f**2. Give -p(k) - 4*y(k).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 882961 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (12\/(-8) + 1)\/(10\/(-27660)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9724507 or -38898023\/4?\nAnswer: -9724507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 443*z + 2. Let h(o) = -2*o**2. What is m(h(q))?\nAnswer: -886*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1413 (base 11) to base 9.\nAnswer: -2452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 14173.71, -0.4, -1\/2 in descending order.\nAnswer: 14173.71, -2\/7, -0.4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*b**3*m**3 + 1892*b**3*m*w**2 - b**3*m + 12*b**2*m**3*w + 703*b*m**3*w**2 - 2*b*m*w - m**3 + 36 wrt w.\nAnswer: 3784*b**3*m + 1406*b*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 91343, 365408, 822177, 1461644, 2283803, 3288648, 4476173, 5846372?\n\"Answer: -p**3 + 91358*p**2 - 2*p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -195, 0.2, 229?\nAnswer: 229","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 456621 divided by 303?\nAnswer: 1507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1675966996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 244965, 489934, 734903, 979872?\nAnswer: 1224841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 - ((89 - 23) + -30) - (0 + -9).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 5*j**3 - 2*j**2 + 7*j + 1. Let s(i) = -9*i**3 + 3*i**2 - 13*i - 2. Let o(x) = -11*c(x) - 6*s(x). Give o(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*d + 123*d - 179*d - 893*d**3 + 2.\nAnswer: -893*d**3 + d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -92 + 91.59. Let p = -0.31 - v. Suppose -5*d - 11 = -g - 2*d, 2*g + 5*d = -22. What is the fourth smallest value in g, p, -0.3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 - (-6 + -5 - (2 - 3))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*6.1654.\nAnswer: -3.0827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 191011 - 131589. Suppose -n = 10*i + 264578. What is i rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/22? (a) -2\/7 (b) 2\/13 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13973?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -485905, -485529, -485153, -484777, -484401?\n\"Answer: 376*q - 486281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -r - 28, -4*r + 3 - 55 = -4*d. Suppose 0 = 32*h - d*h + 51. Put -5, 26, 2, h in descending order.\nAnswer: 26, 2, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 293*f - 4 + 4 + f**2 - 17*f**4 - 538*f wrt f.\nAnswer: -204*f**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**2 - 2*l - 29. Let z be t(-10). Let a be (-1)\/(2 + (-585)\/z). Suppose 87*x = 86*x + a. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y**3 - 3*y**3 + 0*y**3)*(-9 - 9 + 2 + (0 + 1 + 1)*(-3 + 3 + 1)) + (2*y**2 - 3 + 3)*(-y - 2*y + 6*y) + 12*y**3 + 0*y**3 + 39*y**3.\nAnswer: 29*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4049577, 4049569, 4049561, 4049553?\n\"Answer: -8*t + 4049585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 41da7 + 39?\nAnswer: 42002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1504 and 103494.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -9261*w - 213173. Give y(-23).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + 3*g - 2*g)*(-2 + 2 - 1)*(-96 + 96 + 140*g).\nAnswer: -560*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -1457b?\nAnswer: -14581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 5*v - v)*(-20 + 0 + 1 + (-2 + 2 - 1)*(-4 + 5 - 3))*(-1 - 3 + 6).\nAnswer: -34*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 583534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + j - 1. Let i = -3 + -3. Let u be 96\/54 + i\/(-27). Give m(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 11, -6, 9.\nAnswer: -6, 0, 9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (243\/12)\/((814\/(-296))\/(-11)).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 341 + 7747?\nAnswer: 10310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, w: 1, l: 1, o: 2, s: 1, m: 2}. What is prob of picking 1 o and 1 w?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -4, 805, -25?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a tonne in kilograms?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 8*t**2 + 12*t + 8. Give c(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a. Let l(n) = 21*n. Let c = -27 - -28. Let h(t) = 2*t + 3. Let j(y) = y + 1. Let b(g) = c*h(g) - 3*j(g). Let m(u) = b(u) + l(u). What is m(p(r))?\nAnswer: -40*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 8 (b) 1 (c) 244 (d) 2 (e) 0.1 (f) 34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 71.3 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yyybybybyyypbybp.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 11:45 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(5\/4)*o**(6\/5)*o*o\/(o*(((o\/(o*o*o**(-1)))\/o)\/o)\/o)*o*o**0)**(4\/23) assuming o is positive.\nAnswer: o**(149\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42 + 59. Let y = -12 + i. Suppose -4*z - y*n + 278 = 61, 0 = -z + 2*n + 38. What is the greatest common divisor of z and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 37821?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 0 = -4*t - 7, -17 = 2*d + 5*t. Let f be (4 - 7 - 113) + -1. Let q be (f\/45 - 2) + 4\/(-10). Sort q, d, 3.\nAnswer: q, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12*(-24)\/(-9) + 1 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 892, 2485, 4778, 7771, 11464, 15857, 20950?\n\"Answer: 350*l**2 + 543*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11031*c*f - 2*c + 8*f**2 + 630669 wrt f.\nAnswer: 11031*c + 16*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 10. Let v be t(-5). Suppose -10 = -x + 4*r, 4*r - 4 + 22 = v*x. Calculate the smallest common multiple of x and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30157961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 - -39. Let r be 4\/((-16)\/u)*3. Let q = 10 + r. Sort q, 0.4, -2\/9.\nAnswer: q, -2\/9, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2801852829?\nAnswer: 3, 59, 83, 21191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/42 and -73\/112.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 - 6935*b**2 + 2408175*b - 2401245.\nAnswer: 5*(b - 693)**2*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 25*c**3 - 87*c - 86. Give p(-1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.26 - 0.11. Let f = 0.37 + p. Which is the nearest to 0? (a) f (b) -4 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1811, -3615, -5421, -7229, -9039?\nAnswer: -10851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 0 + 69\/2*u - 1\/2*u**3 - 10*u**2 = 0.\nAnswer: -23, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/101 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 k when three letters picked without replacement from wzuuukiuuuuuwkzzu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 91922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 105674, 105911, 106148, 106385?\n\"Answer: 237*s + 105437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/16 and 143\/516.\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -17*t + 12. Sort 2, t, -1, -3, -10.\nAnswer: -10, -3, -1, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i - 11*i - 2839 = -2*y, -2*y - 2831 = -3*i. What is the highest common factor of i and 1035?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of t**5\/10 + 5*t**3\/6 - 15*t**2. Let m be r(-3). Let k = m - -3. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from {u: 7, j: 10, l: 1}.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 7796304430?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233850?\nAnswer: 2, 3, 5, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + p - 6 = -0*z, 13 = z - 2*p. Let c(f) = 8*f + 6. Does 5 divide c(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 18 = -0*s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 13*d**5\/10 + d**4\/12 + 2*d + 9. Is b(1) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*29\/(58\/(-26))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*c + 281 = -785. Which is bigger: 3 or c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1384, 2613, 3688, 4609?\nAnswer: 5376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75879185 is divided by 6898106?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -257 - -262. Suppose w = y*a - 2012, -w - 4*w + 1598 = 4*a. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2 - 2*t - 2. Suppose 0 = -4*b + 17 + 19. Let m(l) = -b + l - 2*l - 9 + 17. Determine 2*m(q) - n(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1094*d + 278*d - 583*d + 165*d + 1162*d.\nAnswer: 2116*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 498*a**2 + 13*a**3 + 15*a**3 + 11*a**2 + 7*a**3 - 38*a**3.\nAnswer: -3*a**3 + 509*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q - 5*q**2 + 8*q**2 + 0 - 4*q**2 + 2 - 7*q**3 to the form x*q + a + y*q**2 + f*q**3 and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 2 = 62. What is the tens digit of (7\/(70\/(-15)))\/(j\/1112)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 5:34 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 47101\/(-10184) + 204\/48\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -7 + 3*x**2 - 1\/4*x**4 + 5\/3*x**3 + 5*x. Determine k(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000834332 rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 364309519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + p + 368 = 0, -5*x - 4*p + 735 = 99. Let y = -108 + x. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13986\/(-2997)*6\/(-8)*6\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -710388 or -710438?\nAnswer: -710388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3008 divided by 1504?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (14 + -8) - (3 - 7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - p**2 + 4*p + 10. Let u be n(3). Let f = -25 + 12. Which is bigger: f or u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45296.86ug to grams.\nAnswer: 0.04529686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 813\/8 + -102. Let c = -0.16 + -2.84. Let v = 2\/3 - 1\/6. What is the nearest to v in c, b, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 7*h + 39. Let m be d(-6). Is m*322\/(-12) + 1\/2 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.190232 or 5.059?\nAnswer: 5.059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6140893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*d - 5*d. Suppose -3*t + 5*m - 37 - 43 = 0, 3*m = -3*t - 120. Let b be 145\/t + (-1)\/(-7). Sort d, b, -3.\nAnswer: b, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 43?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -97*-0.1\nAnswer: 9.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 14*d**2 - 15. Give a(14).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, -0.1, 17, 1, 4, 1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29928? (a) -7 (b) 0.5 (c) -152\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 15*v**2 - 18*v + 9. Let w(b) = b - 1. Let a(s) = -k(s) - 4*w(s). Let h be a(-14). What is the third smallest value in 3\/4, 1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4811667*j - 4605852.\nAnswer: -4811667","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(228) - 2*sqrt(228))*6)\/sqrt(12))**2 + (sqrt(190) - (sqrt(190) + sqrt(190)*1)*2)\/sqrt(10).\nAnswer: -3*sqrt(19) + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7936*u - 3*r = 7934*u - 34, -14*u + 5*r = 110 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 246 divided by -32.\nAnswer: -123\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10621*z - 29454.\nAnswer: 10621","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101011 - 101?\nAnswer: 1100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**5\/60 - 5*s**4\/12 - s**3 - 4068*s**2. Suppose 2*k - 11 = 11. Determine b(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009053379866 rounded to six dps?\nAnswer: 0.009053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - o + 5)*(-o + 0*o + 2*o)*(16*o + 8*o - 9*o) in the form c*o + z*o**2 + d + k*o**3 and give k.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*o**4 + 317*o**3 - 69*o**2 + o + 37?\nAnswer: 768*o + 1902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -71 + 85. Solve m - 12 = 2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7841\/2686 + -140\/79. Is p bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 882570861 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 131 - 256 - 2932*l + 125 to c*l + n and give c.\nAnswer: -2932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 59 + 57 - 177 + 4050*v + 61 + (5 + 2 + 1)*(-2*v - 1 + 1).\nAnswer: 4034*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 24*g**2 - 5*g - 91. Calculate the remainder when 55 is divided by w(-24).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 11*l + 5. Which is greater: -1\/17 or l?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -5*a**4 - 1615*a**3 + 131185*a**2 - 257600*a + 127990. Let l(k) = -2*k**4 - k**3 - 4*k**2 - 2. Let c(i) = d(i) - 5*l(i). Factor c(g).\nAnswer: 5*(g - 160)**2*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -316\/169?\nAnswer: -316\/169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -310 + 492. Suppose o - 3*o + 346 = 2*m, o - 2*m - z = 0. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/(-24)*(88\/6)\/(-11)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1\/2, 4, 2, -35\/2 in ascending order.\nAnswer: -35\/2, -5, -1\/2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 916\/3 at least as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1ba8 - 3?\nAnswer: 1ba5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 3372858.21 to the nearest one hundred thousand.\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41 - -42. What is the remainder when 1 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, -5, 68?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/4 - 98041*q**2\/2 - 196079*q - 196078.\nAnswer: -(q + 2)**2*(q + 196078)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3\/4 - 3027*o**2\/2 + 765072*o - 1524096.\nAnswer: 3*(o - 1008)**2*(o - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w - 3. Let o(g) = g - 2. Let p(h) = -9*o(h) + 4*r(h). Calculate p(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, s: 2, h: 6, n: 3, f: 3}. Give prob of picking 1 l, 1 n, and 2 s.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -26*g**2 + 794*g - 5279. What is q(10)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.0969 times -0.2\nAnswer: 0.01938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-4)*z))\/z*z**(-2\/13))**(-6)\/((z**(2\/17)*z)\/(z*(z*z**(-5))\/z))**(-49) assuming z is positive.\nAnswer: z**(51645\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 4. Let h be n(4). Let i = -9 + h. Let o(a) = -5*a**2 + 11*a + 6. Let q(x) = -x**2 + 2*x + 1. What is i*q(l) - 2*o(l)?\nAnswer: -l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_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: Let q = 0.007917 + 273.102083. Let v = -275 + q. What is v rounded to 1 decimal place?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*h + 23*h - 1128 = -1377 - 5127 for h.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a (base 11) in base 14?\nAnswer: 3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i - 2. Let y be m(-2). Let w(d) = 3*d**3 - 5*d**2 + 8*d + 7. Let f(c) = -4*c**3 + 4*c**2 - 9*c - 8. Let o(x) = -2*f(x) - 3*w(x). What is o(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2. Let p(b) = 106773*b. What is r(p(s))?\nAnswer: -11400473529*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -24e (base 16) in base 12?\nAnswer: -412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**4 - 63*x**3 - 298*x**2 - 468*x - 232 = 0.\nAnswer: -58, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -2*b**3 + 5*b + 7. What is the derivative of s(l) wrt l?\nAnswer: -12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 44 - 1 + 68 - 327*m + 325*m.\nAnswer: -2*m + 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 143542489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*u - 1325 = -2*n, -2*n - 2*u = -530. Solve 61*j - 8*j = n for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1180708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*c - 20 = -2*b, 4*c = -2*b - 20. Let o = b - -4. Is (o\/(-6))\/(4\/(-42)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 2*c = 5*u, c = 2*u + 9. What is the units digit of (-11 - -1290) + u\/(6\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uqquu. What is prob of picking 1 q and 2 u?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 914*c - 13693. What is u(15)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 137*s**2 + 820*s + 1374. Calculate w(143).\nAnswer: -4060","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13061\/11 - 1187. What is the fourth biggest value in u, -1, -4, 1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 7:57 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 106? (a) -0.5 (b) -0.027134 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3771600 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2230.434t in nanograms?\nAnswer: 2230434000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -931372 + 1891372. What is c rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -5. Let n be -3 + (-10)\/x*-3. What is the derivative of -19*s**2 + 2 + 3 + 26*s**n wrt s?\nAnswer: 14*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**4 - 5*v**3 - 2*v**2 + 20*v + 24 = 0. What is v?\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 19065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -36575426*a + 48434636?\nAnswer: -36575426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vey when three letters picked without replacement from {w: 2, y: 1, v: 2, e: 1, j: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence did when three letters picked without replacement from {i: 2, d: 3, c: 1, n: 3, h: 6}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 13. Suppose 30*x = 12*x. What is s(x)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 * -49\nAnswer: 39.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + 0.2. Let o be (-66)\/594*6\/(-5). Sort i, 1\/2, o.\nAnswer: i, o, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of (5 - -9)*(13 - 7272\/(-16))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -548 - -550. Find the third derivative of -2*s**3 - 162 - g*s**2 - 25*s**3 + 20*s**3 - 19*s**3 - 35*s**3 wrt s.\nAnswer: -366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13552411*w**4 - 845189?\nAnswer: 54209644*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100111 + 100?\nAnswer: -11100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3 + 25 = 0. Let m = 203 + -107. Suppose -m = -l*u + 100. Calculate the remainder when u is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-700220)\/58404 - (-28 + 4)*(-1)\/(-2).\nAnswer: 1\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81377.94 centimeters in micrometers?\nAnswer: 813779400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*w + 2*w + 418 + 0*w - 6*w - 7*w in the form x + v*w and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 5*k + 108. Let n be u(-8). Suppose 5*c + n = 17*c. Calculate the remainder when 74 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -642*r + 43. Give h(1).\nAnswer: -599","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-6)*930\/(-124).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2912820347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -k**3 + 65 - 3*k**2 + k**2 - 75. What is the second derivative of r(n) wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - 7) + (-72 - -102)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 (base 12) in base 7?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/20)\/(2\/5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -103, -415, -987, -1861, -3079, -4683, -6715, -9217?\n\"Answer: -7*o**3 - 88*o**2 + o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.2? (a) -0.1 (b) -67.1 (c) -2.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1019*f**4 + 24*f + 11 wrt f?\nAnswer: -12228*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5391 divided by -3.\nAnswer: 1797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(45))*6)**2 + (sqrt(180) - (sqrt(180) + 1))**2 + 0.\nAnswer: 648*sqrt(5) + 1945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26729\/3000 + 7\/1000. What is the common denominator of -13\/12 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 2 + 2)*(-3 + 1 + 1) + (-8*w - 7*w + 2*w)*(-14 + 14 - 58).\nAnswer: 756*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7968270*k**3 + 7968289*k**3 - 15936557*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus 3620593787.91?\nAnswer: -3620593783.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*r**5 + 13*r**3*t**3 - 25*r**2 - 23*r*t**2 - 46*t**3 wrt r.\nAnswer: 60*r**3 + 78*r*t**3 - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 9*u**2 + 11*u - 17. Let y be b(10). Let t be ((0\/1)\/(-5 - y))\/1. Solve 2*v + 13 - 3 = t for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 361 by 44800.\nAnswer: 361\/44800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3753646 is divided by 74.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/2)*(i\/i**(3\/8))\/i)\/(i*i*i\/i**(-3\/13)*(i*i\/(i\/(i*i\/((i*i*(i*i**(-5))\/i*i)\/i))))\/i))\/((i\/i**(-1\/8))**12)**(2\/19) assuming i is positive.\nAnswer: i**(-18825\/1976)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*d*p**3 - 2*d*p**2 + 32896*d*p - 3117*p**3 + 4*p**2 + 2*p wrt p.\nAnswer: -102*d - 18702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1302351 from -14539.\nAnswer: 1287812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3606427 - 174?\nAnswer: 3606243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h - 2. Let p be s(-7). What is the third derivative of m**2 - m**5 + 2*m**p - 2*m**2 + 3*m**2 wrt m?\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + 30 + (3 - (3 + 5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -457143689*n**4 - 5273*n + 37778 wrt n?\nAnswer: -5485724268*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -6015.\nAnswer: -6012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*l - 16. Solve 2*n = 2*r + 10, -n - 3 = -l*n for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 - 2177*w + 34576.\nAnswer: (w - 2161)*(w - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -2a1?\nAnswer: 2a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 17600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1403 less than 81965?\nAnswer: 83368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.016012 + 0.016. Round t to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 12*j**2 + 37 + 13*j - 46 + j**3 + 24 + 17. Let n be m(-11). Calculate the highest common factor of 110 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.32, 1, 1\/4, 0.04?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 4\/7 (c) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**3 + 11*m**2 - 5. Let u(h) = h**3 + 5*h**2 - 2. Calculate 2*j(p) - 5*u(p).\nAnswer: p**3 - 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of 1\/42*v**5 + 0*v**3 + 1\/42*v**4 - 5*v**2 - 11\/420*v**6 + 4\/735*v**7 + 0*v + 0. Suppose g(o) = 0. What is o?\nAnswer: -1\/4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5829 = -2*s, 5*u + 4067 = s + 1160. Is s at least 2921?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 834*-7047\nAnswer: -5877198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*d = 3*d + 5, 2*p + 5*d - 10 = 0. Let j(i) = 146 - 585 + 148 - 2*i + 145 + 144. What is j(p)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85917839 to the nearest integer?\nAnswer: 9269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**4 - 3792*f**3 - 302190*f**2 - 5932208*f + 6238191 = 0.\nAnswer: -3711, -41, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 187225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p + 4*p + 4*p - 21 + p - 2*p. Let m(n) = -3. Let h(i) = -5*m(i) + t(i). Give h(-6).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2309793?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 60228526337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 8*r. Let x(p) = 2*p**2. Calculate x(f(n)).\nAnswer: 128*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 15, 12, 9, 12, 27?\n\"Answer: f**3 - 6*f**2 + 8*f + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*85500140\nAnswer: 17100028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 539, 1134, 1779, 2468, 3195, 3954, 4739, 5544?\n\"Answer: -z**3 + 31*z**2 + 509*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -45.49 and -10?\nAnswer: 454.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -205cc (base 13) to base 2.\nAnswer: -1110001100010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = 10*d - 64. Suppose -5*q = t - d, q - 6*q + 420 = 5*t. Is 22 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1095 is divided by 225.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -144235627*l**2*q - 72*l*q - 4*l + 21*q + 2016 wrt l?\nAnswer: -288471254*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 5) in base 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(44) + (sqrt(11) + 1 + sqrt(11))**2*1 + -5)*5*-3.\nAnswer: -525 - 90*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -114, -169, -224?\nAnswer: -279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5*f + 235 = 0, -w - 11*f = -10*f - 59. What is the smallest common multiple of 10 and w?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34478.054 rounded to the nearest ten?\nAnswer: 34480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -143, -867, -1991, -3449, -5175, -7103, -9167, -11301?\n\"Answer: 11*g**3 - 266*g**2 - 3*g + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -644581, -2578346, -5801289, -10313410, -16114709?\nAnswer: -23205186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*1*(-3 - -7). Solve -2*w - k - 1 = -0*w, -5 = r*w + 5*k for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3530*o**3*v**2 + 22*o**3*v*x - o**3 - 110*o*v**2*x wrt x?\nAnswer: 22*o**3*v - 110*o*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-8) - 21\/(-12). Suppose p*s + 0*r - 491 = 5*r, -253 = -s + 5*r. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 612 is divided by 145?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -33 - -31 - -4*1. Solve -4\/5*l - 2\/5*l**4 - 8\/5*l**3 - c*l**2 + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23\/6 + 31\/6. Factor 14\/3*w - 6*w**2 - d - 2\/3*w**4 + 10\/3*w**3.\nAnswer: -2*(w - 2)*(w - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m + 5. Let n be j(5). Suppose 5*o - 3*c = -n, 0 = o + 5*c + 38 - 8. Sort 5, -9, o in ascending order.\nAnswer: -9, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1548 and 1071459.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 4*i**2 + i + 6. Let z be v(4). Suppose -5*m + 22 = 2*b, m = 2*m - b - z. Does 16 divide (-4146)\/(-78) + m\/(-39)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5016 is divided by 186?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 2*c - 5. Let u be d(-4). Suppose 3 = -3*g, 3*g = -u*m + 7*g + 16. Let b = m + -3. Solve 3*n + 2 = -b for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b**3 + 4*b**3 + b**5 + (2*b**5 - 2*b**5 + 9*b**5)*(3 + 1 + 2).\nAnswer: 55*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1612 - 1610. Sort -7\/2, -1, 2\/3, c in descending order.\nAnswer: c, 2\/3, -1, -7\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 286*s - 5.\nAnswer: -286*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-17 + (1 - 1))\/(-1). Suppose 3*n - 4*n = -b. Is 7 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.06469 - -0.06469. What is the fourth smallest value in -0.7, -2, y, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 3*p**2 - 5*p. Let i be l(4). Let d(k) = k. Let y(a) = 2*a - 5. Let h(w) = -4*d(w) + y(w). Give h(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {g: 2, j: 1, b: 1, f: 7, k: 3}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 + -17. Suppose 0 = -b*y + 11*y - 8. Suppose -4*n = -y*j - 108, -2*j - 100 = -6*n + 2*n. What is the remainder when 44 is divided by n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29368208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 3, w: 1, v: 1, u: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) -1\/7 (b) 0.11 (c) -0.1 (d) 0.05 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1547 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 4*g - 3*c + 913, -4*g - 5*c = 953. Let y be (-8)\/(-52) - g\/13. Calculate the remainder when (-3)\/y*-2*147 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -17*r**2 - 119*r + 466. Give j(4).\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -685f6 (base 16) to base 9.\nAnswer: -721381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9059218, -18118443, -27177668, -36236893, -45296118, -54355343?\n\"Answer: -9059225*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 + 24. Suppose 0 = -r*b + 9*b. Solve -5*p - 2*v - 15 = b, -p - 3*v + 10 = -0*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-2))\/((135\/72)\/5)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180) + 0 + (sqrt(50) + (sqrt(50) - (sqrt(50) + -1*sqrt(50))))\/sqrt(10) + sqrt(10)\/(sqrt(2) + sqrt(98)*1 - sqrt(2)).\nAnswer: 57*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 27\/27*(1 + 1 + 0). Suppose 0 = -2*x - 10, -6*x = 5*c - v*x + 5. Suppose 0 = -5*g + c*j + 517, 3*j = 2*g + j - 210. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.11 + -2.201. Let a = 1.091 + s. Sort a, -2, -0.09 in descending order.\nAnswer: a, -0.09, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51119 - 25818. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -5960*m**2 - 29723*m + 386. Give u(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2)\/v)**(-2\/129)\/(v*v\/(v*v*v**(-1\/8))*v**(-2)\/v) assuming v is positive.\nAnswer: v**(1005\/344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -28, -63, -122, -211, -336, -503, -718?\n\"Answer: -f**3 - 6*f**2 - 10*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156*u + 51*u - 20*u + 90*u.\nAnswer: 277*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5 = 3. Let j(b) be the second derivative of -183*b**3\/2 - 11*b**2\/2 - 227*b. Is j(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-3) + (-21)\/(-9). Find the third derivative of 3*w**2 + 3*w**3 - 4*w**3 - 7*w**g wrt w.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 152 (base 6) to base 5.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 768.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*n + 510*n = 244*n + 527 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5872 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 63055212 to the power of 1\/3, to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - 2*q - 16. Suppose 116 = 4*u - q*m, -85 = -3*u - 3*m + 4*m. Calculate the smallest common multiple of u and 18.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 8*l - 6. Let f(o) = -o**3 - 5*o**2 + 13*o - 14. Let d be f(-7). Determine k(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 9*l**3 - 28*l**2 + 64*l - 823. Does 35 divide t(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1278793391 to the nearest integer?\nAnswer: 35760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*r**2 + 2*r**3 - 96*r + 44*r + 59*r to the form a + w*r**2 + s*r**3 + f*r and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yt when two letters picked without replacement from {f: 2, y: 4, d: 1, t: 3, j: 2, m: 6}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -0.06079.\nAnswer: 0.18237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 146025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -457*p + 703*p = 365*p - 4403 for p.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1053 divided by -27.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + b - 75 = -3*t, -5*b - 93 = t. Let j = -55 - t. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1310808 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*(2\/(-4) - -1). Let v be -72*1\/3 + 29. Put v, z, -4 in decreasing order.\nAnswer: v, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24474400 to the nearest integer?\nAnswer: 4947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 128502995*v**3 + 38728015*v**2 - 1 wrt v?\nAnswer: 771017970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**4 - 155*m**2 - 101. Let a(i) = 2*i**4 + 155*i**2 + i + 104. Let g(q) = -2*a(q) - 3*w(q). What is the second derivative of g(v) wrt v?\nAnswer: -12*v**2 + 310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62659565 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2268.4387 + -11229658.5613. Let x = u - -11231934.999989. Let z = x + -8. What is z rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 - 6. Let b be -4 + x\/(-6 + 3). Suppose -g = 2*p - 11, -b*p + 0 = -4*g - 21. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*w**2 - 2*w + 9*w**2 + 4*w**2 + 0*w - 136*w**3 to x*w**3 + a + n*w**2 + u*w and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**3 - 26*z**2 - 17*z - 48. List the prime factors of i(-16).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314293 is divided by 36.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**3 - 183*o**2 + 778*o + 459. Determine c(87).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of 1\/3*g**5 + 0*g**4 + 0 + 0*g + 11\/210*g**7 - 23*g**2 + 0*g**6 + 0*g**3. Find the third derivative of f(b) wrt b.\nAnswer: 264*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + 15. Suppose 3*u = -l + 36. Solve u*c = -4*j + j - 13, 4*j = -c - 19 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + -4 + -6 - (1 - 419) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.4 in -0.1, 1.1, -5?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 802 = -160*b - 158 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {v: 3, r: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17322, 17898, 18474, 19050?\nAnswer: 19626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9.083038 micrograms?\nAnswer: 0.009083038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/18 - 386\/12) + -4. Calculate the remainder when (c\/(-8))\/(-3)*328\/(-6) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -278 in 0.1, -9467, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -16*g - 188. Let b(s) = -7*s - 80. Give 23*b(x) - 10*k(x).\nAnswer: -x + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -18\/35, 0.2, -4\/57?\nAnswer: -18\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 11:12 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eight thirds of a day?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -165*h - 2425. Give c(-17).\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2 + 7 = -5*h, -5*x + 8 = -2*h. Suppose h = -4*m - 15. Let q = m - -4. Let z(j) = j. Calculate z(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253174713 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*j**2 - 8*j**3 - j + 4*j + 44*j**2.\nAnswer: -8*j**3 + 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(2\/3) - -716. Suppose 147 - 872 = -w - 4*s, -2*s = -w + f. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 75768 and 5082?\nAnswer: 833448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -248, -235, -208, -161, -88?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -1a1?\nAnswer: -1a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -k**7\/280 + k**4\/2 + 4*k**3\/3 - 8. Let p(r) be the third derivative of g(r). Differentiate p(c) wrt c.\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2 = -f, 0*f - 4 = -3*x - 2*f. Let m be (18\/(-8))\/3*-4. Suppose -2*t + 12 = -2*s, -t + 5*s = -3 - m. Solve -3*l + t*l - 3 = x for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 186\/2837, -164 in ascending order.\nAnswer: -164, 186\/2837, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.24? (a) 7 (b) -3\/7 (c) 0.2 (d) 4.6 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1179190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 35 or 10\/13?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*t*t**(-36)*t*t**(3\/11) assuming t is positive.\nAnswer: t**(-349\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -81*u - 4460. Give d(-55).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1687 and 19.\nAnswer: 32053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183601*f + 183687*f = 946 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 14. Is -0.1 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i + v = 16*i + 48058, -v = -1. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 638846 - x - 638846.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 + 50. Is (-1 - g) + -35*(5 + -10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 3. Let n = -2.98 + -0.02. Let p be 15\/175 + 1\/5. Which is the second smallest value? (a) n (b) p (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106 = -40*a + 94 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11864811 (base 9) to base 13.\nAnswer: 1291669","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddlk when four letters picked without replacement from jjddjlkjjjujuujjjkj.\nAnswer: 1\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -f + 79, 0*f + f + 3*j = 80. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1173*h = -1165*h - 20336. What is the remainder when h is divided by 69?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mkj when three letters picked without replacement from hmhmhkjhjmmhhh?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*y**2 - 22*y**2 + 15*y**2)*(-7*y**2 - 6*y**2 - 2*y**2) - 5*y**4 + 2*y**4 + y**4.\nAnswer: -482*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2298 - 2358. Which is the second biggest value? (a) f (b) -2\/9 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 5*x - 180, 18 = x + 21. Calculate the remainder when o is divided by 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 65973600 and 659736?\nAnswer: 65973600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 + 3 - 3)*(b + 4*b - 3*b) + (-3*b + 3*b + 2*b)*(-4 + 1 + 4))*(b**3 + b**3 - b**3) to the form d*b + g*b**4 + m + f*b**2 + i*b**3 and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(((-12)\/32)\/(-1)). Let w = z - -24. Suppose i - 80 = -i. What is the greatest common factor of i and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 5*x + 7 + 10, 2*x + 10 = 0. What is the common denominator of (2 - 1) + 102\/y and -6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 4 + 12*b**2 + 12 in the form n + d*b**2 + l*b and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280083140 is divided by 1434.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/7)*((t\/t**(1\/7)*t)\/t*t)\/t)\/(((t*t\/t**8*t)\/t)\/t*t**(8\/7)) assuming t is positive.\nAnswer: t**(45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115038851.\nAnswer: 115038851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2512233709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(171)\/(sqrt(3) + (sqrt(108) + sqrt(3) - sqrt(3))))\/(sqrt(24)\/(-2*sqrt(8))))**2.\nAnswer: 8*sqrt(19)\/7 + 272\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 1, -4*n = 3*y + 2 - 1. Let r be (3\/(-2) - n)*0. Suppose 0 = -2*a - r*a + 42. Is 22 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -16, 5\/3, 6?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-10)\/(-35))*4\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/36 and -101\/1276.\nAnswer: 11484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 9*a**2 - 10*a + 10. Let b be z(9). Let k be (b\/28)\/((-4)\/14). Suppose -7*p - 3 = -s - 8*p, -3*s = -5*p - 17. Solve 2*r + k = s*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1))**11\/(n**(-1\/16)*n\/n**(-1))*(n**2\/n**1)**(1\/41) assuming n is positive.\nAnswer: n**(-8471\/656)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*x + x**2 + x + x**2)*(1161*x + 182*x + 44*x + (4 - 3 + 0)*(-2 + 2 + 2*x)) to l*x**3 + v*x**2 + o + d*x and give l.\nAnswer: 2778","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 210*s**2 - 56*s. Let d(b) = -19*b**2 + 5*b. What is 56*d(w) + 5*g(w)?\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4*(-2 + -4 + 3*(sqrt(128) - (1 + sqrt(128) + 3))*1))**2.\nAnswer: 5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -567\/8 + 1693\/24. Suppose -5*s - 4*t = 10, 2*t = -5*s - t - 10. Which is the second smallest value? (a) r (b) -2\/11 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 447562?\nAnswer: 2, 223781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -494, -346, 56, 838, 2126?\nAnswer: 4046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a factor of 118956238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -3 (b) -0.2 (c) -52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 15*m + 8. Let l(t) = -7*t - 4. Let p(f) = -6*b(f) - 13*l(f). Let s be p(-6). Let i be -13400*(-125)\/s*8. What is i rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12502904.43 and -5.\nAnswer: -12502909.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - (5 - 1)) + -1 + 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164*m = 122142741030 - 22245421030. What is m rounded to the nearest one million?\nAnswer: 609000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 1675?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43 + 68. Let h = 99 - 152. Let m = h + 127. What is the remainder when m is divided by p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 188.7\nAnswer: 1132.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 at most -242452?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*v**4 + 278*v**3 - 209*v**5 - 3139*v**2 - 272*v**3 - 1028*v**2 - 2*v**4 wrt v.\nAnswer: -12540*v**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -11*u - 43. Let t be y(-6). Let p(c) = -3*c + 69. Let k be p(t). Put 15, k, 4 in increasing order.\nAnswer: k, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4394 to 2 decimal places.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3279.17789705 + 2.\nAnswer: -3277.17789705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -5*m - m + 4*m. Let b(y) = y**2 - y + 1. Let q(w) = 44*w**2 - 8*w + 9. Let i(h) = -9*b(h) + q(h). What is u(i(r))?\nAnswer: -70*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4196327 a multiple of 1549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 37, 81, 139, 217, 321, 457?\n\"Answer: w**3 + w**2 + 34*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9.4 times -6\nAnswer: -56.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 20*z**3 - 15*z**2 - 2*z - 11. Let h(v) = 9*v**3 - 7*v**2 - v - 5. Let i(p) = 4*d(p) - 9*h(p). Calculate i(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/10 + (-115)\/(-25). Suppose 3*f = 4*w - 23, -u*w - 10 = 6*f - 2*f. Solve -3*y + 2*y + 5*p + 18 = 0, w*y + 5*p + 9 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*f + 32 = 0, 0*o - f = 5*o - 16. Let t = -1754 - -1780. Solve -4*r + 3*r = 3*l + 18, -o*l = 2*r + t for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4247 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1749 * -2.\nAnswer: -3498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-1 + 2 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*s + 154*s - 4*n = 8, -6*s - 18 = 4*n for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*c*f**3 - 2*c*f**2 + 5*c*f + 2*c - 44*f**3 - 4 wrt f?\nAnswer: -162*c*f - 4*c - 264*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11\/14 - (-4)\/(-14). Let j = -29599 + 29595. What is the nearest to -8 in j, u, 8, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 0*u - 10. Let k = 8 + u. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)*2 + -3 - (sqrt(700) + sqrt(700) + 2*sqrt(700) + sqrt(700) + sqrt(700))**2*2)*3.\nAnswer: -151209 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 224\/(-21)*-1*(-6)\/(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 82\/7 - 4\/(-14). Let s(a) = -9*a - 4 + 1 + a - y*a. Is 15 a factor of s(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -8 + (2 - -7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - 552\/(-40) - 11\/(-55)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/9 - 926*h**2\/3 + 122960*h - 10516896.\nAnswer: 2*(h - 636)**2*(h - 117)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/2741 or 16224?\nAnswer: 16224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1011001110111010001 (base 2) to base 4\nAnswer: -1121313101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 11:54 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 164659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9377 is divided by 9368?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10044.533 rounded to the nearest 100?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 920 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1000110 (base 2) to base 7\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 - 44. Which is the second smallest value? (a) 0 (b) l (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20a07 (base 12) to base 3.\nAnswer: -2011212121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6808 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v - 2. Let o be p(4). Let k = 30 + o. Suppose 10 = 2*l + g, l - k + 1 = -2*g. Solve 32 = -4*b + l*d, 5*b - d = -32 + 3 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**2. Let s(m) = -4 - 9*m + 13*m + 4. Determine s(p(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/10 and -17\/1250.\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -3\/7, -19, -7, -3\/8?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 826817.\nAnswer: 167, 4951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4*g = 140, -3*g - g = -j + 64. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 4:54 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3 - b**3 - 8 + 4*b**2 + 2. What are the prime factors of j(3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-12)\/(-3)) + (59 - 51)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vnvnynvy. What is prob of picking 2 v, 1 n, and 1 y?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/658 and 7\/1081?\nAnswer: 15134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {d: 9, j: 5}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 5, 0, 3 in increasing order.\nAnswer: 0, 3, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 476 - 164. Let m = y - 303. Solve 5*s - 8 = m*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3131206 (base 7) to base 6\nAnswer: 12031124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of t**2\/2 - 8*t + 1. Let g be (-13)\/2 - (-1)\/2. Let d be 2*g\/20*-10. What is f(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6918 + -6787. Calculate the remainder when n is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3361 (base 7) to base 11\nAnswer: -a09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 183751204 divided by 13\nAnswer: 14134708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -615586 - 3400*i + 615586 in the form d + y*i and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -376*g**4*z + g**3*z - g**3 - 3*g**2 + 17*g*z wrt g?\nAnswer: -9024*g*z + 6*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 155*j + 10932. Determine c(-71).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1*sqrt(2448))**2.\nAnswer: 2451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 12*d**2 - 9*d + 24. Suppose -3*c + 2*c = 11. Let n be t(c). Suppose -5*m + 0*h + 235 = n*h, m = h + 40. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x**(2\/7)*x)\/x**(7\/4))\/(((x*x*x**18)\/x)\/(x\/x**(-11))))**(4\/15) assuming x is positive.\nAnswer: x**(-51\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/13))**(-14)*(w\/(w*w**9))\/w*w*((w**(6\/13)*w*w)\/w)\/w)**(-2\/49) assuming w is positive.\nAnswer: w**(278\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/9 (b) -12 (c) 0.5 (d) 13 (e) 1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1354106 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 198404879 divided by 198404879.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16713, 16514, 16185, 15732, 15161?\nAnswer: 14478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*i**3 + i**3 + 3*i**3)*(19*i + 43*i - 7*i) as y*i**3 + l*i**4 + j + n*i**2 + k*i and give l.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -3*v**5\/20 + 291*v**4\/16 - 792*v**3 + 13440*v**2 - 24576*v - 67. Factor n(j).\nAnswer: -3*(j - 32)**3*(j - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.6 - 1.09234513.\nAnswer: 1.50765487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 11:05 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/630 and -91\/12.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1200235 (base 6) to base 2.\nAnswer: -1111001101011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0*v - v - 8 = 0, x = 5*v + 4. Calculate the least common multiple of 14 and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 20 = 2*f. Suppose 5*t + f*r + 1 = -28, -3*t = -5*r + 10. Let l be (-100)\/(-32) + (-2 - 1). Sort l, t, 4 in decreasing order.\nAnswer: 4, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-663 - -3)\/(3\/(-2)). What is the greatest common factor of t and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n**3*u**3 - 221005*n**3*u**2 + 3*n*u**3 - 65960*n*u wrt n.\nAnswer: -12*n*u**3 - 1326030*n*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -16*b**2 + 10*b + 0*b**3 - 2*b - 2*b**4 + 10*b**3 = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - o = -610. List the prime factors of o.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 16 = -2*d, -4*y - 10*d + 6*d = 8. Suppose 0 = y*n - 15*n + 4332. What is the remainder when n is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3688*l**6 + l**2 - 4333*l.\nAnswer: 442560*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1040 + -719. Does 40 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 8:31 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 8083, 1, -2, 0 in decreasing order.\nAnswer: 8083, 1, 0.4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1962 = -27*p + 24*p. Does 34 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5497\/18 + 2858\/9. Let j = 11\/5 - 37\/10. Calculate the common denominator of j and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 5*i**3 - 265560*i**2 + 9818685*i + 10084250 = 0?\nAnswer: -1, 38, 53075","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 4732.979g?\nAnswer: 0.004732979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42990 a multiple of 277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b**3 - 2*b**2 + 3*b + 6. Let p be y(-2). What is the highest common factor of p and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 5*q + 4. Let s be m(-5). Let f(v) = -s*v + 0*v + 2 + 5*v. Calculate f(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 5*p**2. Let k = 3 + -4. Let a be n(k). Suppose a*w - 2*l = 7, 5*w = -l + 2 + 2. What is the closest to -1\/4 in 1\/2, w, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3372 or -3369?\nAnswer: -3369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 7 = 2*h, 6*h - 2*h = -3*j - 23. Let g(i) be the third derivative of i**6\/120 + i**5\/60 - 123*i**2. Let y be g(j). Solve y*s + 10 = 2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-3)\/(((-45)\/(-10))\/1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*l + 97*l + 124*l = -12369 for l.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*j + 342, -4*j + g + 31 + 315 = 0. Calculate the greatest common divisor of j and 473.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 9*w**2 + 4*w**2 + 0*w**2 + 16*w**2 + 0*w**2. Let s(r) = r**2 + 1. Calculate s(g(p)).\nAnswer: 841*p**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6219635081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 822154211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12027408 by 6096.\nAnswer: -1973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 6*v + 7. Let o(r) = -5*r - 8. Give 2*j(d) + 3*o(d).\nAnswer: -3*d - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1151275 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3213 or 2\/11?\nAnswer: -3213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 43827 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1226507, -1226506, -1226505?\nAnswer: -1226504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1094973 and 7664811?\nAnswer: 7664811","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16339439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kfffgkk. What is prob of sequence kg?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -42? (a) -6 (b) -50 (c) 5\/4 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 4*c + 6. Let n be -4 + 1\/(-1 - 0). Let y(h) be the second derivative of 5\/2*h**2 + 1\/12*h**4 + 1\/2*h**3 - h + 0. Determine n*k(i) + 6*y(i).\nAnswer: i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4860957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9391 rounded to 2 dps?\nAnswer: -0.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 803, 5016, 12037, 21866?\nAnswer: 34503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s - 3*s + 3*s - 54 - 41*s + 54 + (0*s + 0*s + 2*s)*(-4 - 1 + 4) + 0*s - 3*s + 2*s + (-8*s - 1 + 1)*(1 - 3 + 1) as h + m*s and give m.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from totoootohpoo. Give prob of sequence pt.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 320*s + 298. What is v(-1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.3 (b) 4 (c) -12 (d) 6913\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-523*q + 20193 - 20193 + q + 2*q + 0*q + (-2 + 0 + 1)*(-2*q + 3*q + q))*(4*q - 5*q - q) to the form f*q + p*q**2 + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000028823 to 7 decimal places.\nAnswer: 0.0000288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 185160341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**3 + 14*t + 8. Let j(p) be the third derivative of -p**6\/120 - 5*p**4\/24 - p**3\/2 - 6*p**2. What is 3*b(u) + 8*j(u)?\nAnswer: u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 201602 and -50.\nAnswer: -10080100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-94)\/(-22) - 168\/616. Solve -k = -l + 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18600270049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -56, -55, 5 in increasing order.\nAnswer: -56, -55, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 97*a**4*k**3 + 3316677*a**4 + 343*a*k**3 + 79*a*k + 2*a - 2*k**3 + 394*k**2 wrt a.\nAnswer: 1164*a**2*k**3 + 39800124*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001589 rounded to six decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 208438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7239 at most as big as -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93, -98, -107, -120, -137, -158?\nAnswer: -183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 38\/13*p**2 + 84\/13*p - 2\/13*p**3 = 0 for p.\nAnswer: -21, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1084 and 1274513?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*g**4 - 1583*g**2 + 62866*g?\nAnswer: -204*g**2 - 3166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r**2 + 3*r + 2. Let y(t) = -7*t**2 + 5*t + 3. Determine 5*n(i) - 3*y(i).\nAnswer: 6*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 465 + -58. List the prime factors of t.\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1445, 1437, 1415, 1373, 1305, 1205, 1067?\n\"Answer: -j**3 - j**2 + 2*j + 1445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -89, -145, -233, -359, -529, -749, -1025?\nAnswer: -1363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -95 + 90.3. Let m = -5 - n. Let c = m + 0.2. What is the biggest value in -0.2, -2\/7, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5555586653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3013*k + 9037. Determine d(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 15263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/4548 and -79\/9096.\nAnswer: 9096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(84)*6)\/sqrt(3))\/(-2*sqrt(400)))**2.\nAnswer: 63\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w - 1. Let t be n(-5). Let k(d) = 2*d**2 - 3*d - 2. What is the tens digit of k(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4643.736 litres in millilitres?\nAnswer: 4643736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-2\/31)\/g)\/g)\/g**(8\/7))\/(g**(-12\/11)*g**(-3\/2)) assuming g is positive.\nAnswer: g**(-2943\/4774)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.9 - -1.1. Let n = x - 1.5. Let v = n - 0.48. What is v rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 683741?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -0.2 (c) -115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4 = -6, -5*r - 5*c - 75 = 0. Let q = 18 + r. Solve 5*u - 16 = 4*b, 0 = -b + q*u - 5 + 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58*x**2 + 3018*x**3 + 120*x**2 - x - 2 - 3016*x**3 to the form g*x + w + h*x**2 + j*x**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -133\/2*j**3 + 3\/2*j**4 + 917\/2*j - 547\/2*j**2 - 120 = 0.\nAnswer: -5, 1\/3, 1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - (4 + (1 - 235)). Let k = o + -145. Does 21 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -21947358, -21947352, -21947336, -21947304, -21947250, -21947168, -21947052?\n\"Answer: k**3 - k**2 + 2*k - 21947360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 12*x + 3. Let z(m) = 507*m. Calculate f(z(a)).\nAnswer: 6084*a + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010010011 - 11111000110001101?\nAnswer: -11110101011111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*f - 942 = -66*f + 978 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 1170151.\nAnswer: 5\/1170151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2767 - -3582. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k + 541 = 9*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 8:13 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9185\/48 + 581\/3. Find the common denominator of 38764\/3696 + 1 + (-12)\/21 and w.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.2 + 3. Let j = 116559643\/120 - 971318. Let g = j + -62\/5. Is g at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 23*c = -54. Solve 9*w + c = 12 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 - 0.3. Let r = -126 + 127. What is the nearest to r in 2\/5, a, -1\/15?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/((u**(-1\/7)*u*u*u)\/u*u)))\/u)\/(u**(-4\/11)*u))\/((u*u*u\/u**(-4))\/u*(u*u*u*u**(-9)*u*u*u)\/u) assuming u is positive.\nAnswer: u**(-60\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22883?\nAnswer: 7, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 336109.8472 to the nearest 10.\nAnswer: 336110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.12 to 1 dp.\nAnswer: 5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33558 + -33562. Which is the closest to 0? (a) f (b) -30 (c) -2.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (1 - (-7 + 0)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x**3 - 34*x**2 - 69*x - 1. What is d(-2)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61 + 60.61. Let m = 0.01 - k. What is the nearest to -0.1 in m, -1, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 4*m = 4, 6 = 3*c + 5*m - 7*m for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l - 0*l + 5*l - 36, 12*v - 29 - 32 = 17*v - 3*l for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3817?\nAnswer: 11, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -117 - -121. Solve -9*r - u*r = 52 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 3*f**5\/5 + 45*f**4\/4 - 16*f**3 + 638. Let c(o) = 0. Calculate o.\nAnswer: -16, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(8) - sqrt(288)))\/(sqrt(8)\/(-3*sqrt(2))) + 3)**2.\nAnswer: 450*sqrt(2) + 11259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 7a1219?\nAnswer: 7a121a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/13)\/t**(-1\/2)*t**(-2\/3)\/((t**(-1)*t)\/t)*((t\/(t*t**0\/t))\/t**(2\/15))\/(t*t**(-2))**(-35) assuming t is positive.\nAnswer: t**(-4349\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -295500 to the nearest 10000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -42*b*r**3 - 4*b*r**2 - b + 3*r**3 + 5*r**2 - 245*r wrt b.\nAnswer: -42*r**3 - 4*r**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of k**4\/24 + k**3 + 2*k**2. Let i be j(-3). Suppose -2*l + 21 = -i*f - 50, -1 = -f. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 2982822?\nAnswer: 32811042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*u - 327*u - 230*u.\nAnswer: -420*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(18) + (sqrt(12)*-1)\/sqrt(6).\nAnswer: 2*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 12:50 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 413653 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*k + 119*k - 77*k - 56.\nAnswer: k - 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 621221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -g**4\/12 + 6*g**2. Let v(c) = 1141*c**2. What is o(v(i))?\nAnswer: -2282*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43 + (39 - (34 + 34)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2 + 1 - 4 + p. Let w be z(3). Suppose 24*i - 31 = 65. Solve 0 = 5*d - w*v + 15, 3*d = i*d + 5*v - 24 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t**(-1\/3)\/t*t*t)\/t)*t)**(-41)*(t**0)**(-46))**(1\/26) assuming t is positive.\nAnswer: t**(-287\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-12963)\/(-609) - 21)\/((-13)\/(-14))\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -230*a**2 + 138 - 143 - 84*a**2 + a to the form m*a**2 + k*a + d and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4*a + 37. Let f = 5976 + -5966. Determine d(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 662\/22 + -18 + -19.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -429, -1248, -2479, -4128, -6201, -8704, -11643?\n\"Answer: -p**3 - 200*p**2 - 212*p - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (21\/9)\/(1\/81). Let c(u) = -u**3 + 22*u**2 - 10*u - 1254. Let n be c(17). Calculate the greatest common factor of s and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*u + 2*i + 29, 5*u + 5*i - 85 = 0. Calculate the lowest common multiple of 22 and u.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119d9 (base 16) in base 10?\nAnswer: 72153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - a - 2. Let u(b) = 3*b**2 - 4*b - 20. Let j(k) = -4*m(k) + u(k). Let o(q) = -4*q. Determine o(j(n)).\nAnswer: 4*n**2 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, 5, -25, 1.3, 3, -3\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 18 = -3*j, n - 4338*j = -4341*j - 10 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/((-18)\/10))\/((-150)\/(-390)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217 = -9*c - 271 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13755129 is divided by 712.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 387*v**5 + 403*v**5 - 841*v**5 + (4*v**2 + v**4 - 4*v**2)*(-5 + 2*v + 5) - 4*v**5 + 5*v**5 + 2*v**5.\nAnswer: -46*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(-1)*(4 + -7). Suppose 45 = z - b. Suppose -4*j + 73 + 3 = 4*d, -83 = -5*d - 2*j. What is the greatest common factor of z and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3150\/(-378))\/((-15)\/(-54)*-1*6\/15).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1680802849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -333.7 - 156.2. Let h = c + 489. Let t = 0 + 1. What is the smallest value in h, t, 2\/11, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -63 - -112. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 7*p + p**2 - 5 + 3 + 0 + 4. List the prime factors of n(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 13, -5, -12 in decreasing order.\nAnswer: 13, 3, -3, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/60 and -35\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 0*k**3 + 0 - 79*k - 1\/4*k**5 + 133\/2*k**2 + 0*k**4. What is the first derivative of n(c) wrt c?\nAnswer: -15*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -126 + 125.99999962. Round c to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times -0.171681?\nAnswer: 1.030086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26.001 - -26.4. Let v = 0.36 - m. What is v rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - 6 - -3) + -30 + -32?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of 13*q**3\/3 - 5*q**2\/2 - 7*q + 4. Suppose h + 4*h - 15 = 0. Calculate the remainder when n(h) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of 0 + 0*k**3 + 3*k**2 + 2\/5*k**5 - 4\/15*k**6 + 4*k - 1\/6*k**4. Let l(n) be the first derivative of j(n). Factor l(s).\nAnswer: -4*s*(2*s - 1)*(4*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 20*y - 4. Let s be m(-21). Let o(u) = -u**3 + 16*u**2 + 21*u + 2. What is the tens digit of o(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -34a - 2?\nAnswer: -34c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.00677 + 2.92223. Let i = u - -0.071. Which is smaller: -2.3 or i?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 314 * 19836\nAnswer: 6228504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 25 + 7)*(b**2 - b**2 + 8*b**5 - 2*b**5 + 0*b + 0*b + (3*b**2 - 3*b**2 + b**3)*(-4*b**2 - b**2 + 3*b**2) + 2*b**5 + b**5 - 4*b**5).\nAnswer: 72*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3127282?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/6*4*(-1)\/39*1?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1128 and 2984312?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.361274617 - 32.014760967. Let p = 97.6534869 + k. Let s = 66 - p. What is s rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 7*q**2 + 8*q + 7. Let d be n(-6). Let k be -1 - (d + -4 + 1). Let 9 + k*h**3 + h**3 - 16*h**2 + 3 - 4*h - 4*h + 4*h**4 = 0. What is h?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 3. Let c = 82 - 82. Let s = c - -7. Solve 5*l - s = a for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23119083.\nAnswer: 3, 13, 197599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 172.03 days to seconds.\nAnswer: 14863392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -773.58 - -766. Let m = h - -5. Round m to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 765*0.04.\nAnswer: 30.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2478305, -4956611, -7434917, -9913223, -12391529?\n\"Answer: -2478306*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -444 = -2*z - 256. Suppose -z*r + 93*r + 17 = 0. Suppose -45 + 240 = 3*f. Calculate the remainder when f is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4131214 and 368.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -30*a. Let r(b) = -51*b**2. Give r(x(z)).\nAnswer: -45900*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 4*r - 6. Let w be d(-3). What are the prime factors of w\/15 + 396\/5?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(-7)*3\/(-5 + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28630.\nAnswer: 2, 5, 7, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 952*y**3 - 1898*y**3 + 949*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*f + 2 = z, 5*z - 4*f + 5 = 0. Let c be (75\/45)\/(z*2\/6). Let n(r) = -r**3 - 7*r**2 - 12*r - 5. Let v be n(c). Solve 0*p + 15 = -v*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 + 3)\/(1\/(-7)). Let q(j) = 6*j - 48. Let y be q(9). Which is smaller: l or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -16*r + 129. Let p be t(8). Solve -8 - p = 3*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, d: 3, y: 6, f: 2, a: 1}. Give prob of picking 2 y, 1 f, and 1 a.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5*r**4 - 72*r**3 + 207*r**2 + 451*r - 579. Let g(y) = -44*y**4 + 650*y**3 - 1862*y**2 - 4058*y + 5210. Let l(u) = -6*g(u) - 52*v(u). Solve l(o) = 0.\nAnswer: -2, 1, 4, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -182232.18278 - 48.1.\nAnswer: -182280.28278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -23*j**2 + 5*j. Let n(k) = -22*k**2 + 7*k. What is -5*n(g) + 6*v(g)?\nAnswer: -28*g**2 - 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.02 - -0.42. Suppose 11*k - 12*k = 0. Suppose k = -i + 5*o - 13, o + 45 = -5*i + 6*o. Sort i, j, 0.2 in decreasing order.\nAnswer: j, 0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 61 - 18*i**2 - 61 + (-2 + 9 + 1)*(5*i - 3*i - i)*(-15*i + 4*i - 11*i).\nAnswer: -194*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 4*i**5 + 12*i**5 - 236*i**2 + 236*i**2 - 4 + 2*i**5 + 4 + (-4*i**2 + 2*i**2 + 0*i**2)*(-i**2 - 2*i**3 + i**2).\nAnswer: 22*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2186887.\nAnswer: 139, 15733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 5:58 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 1. Let n(c) = -15*c - 1. Determine n(y) - s(y).\nAnswer: -15*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 2331 to the nearest ten.\nAnswer: 2330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + v**2 - v + 3. Let o(k) = k**3 + 68*k**2 + 69*k - 6. Let c(i) = -2*a(i) - o(i). What is l in c(l) = 0?\nAnswer: -67\/3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k\/(k\/k**3)))*k**(3\/7))\/((k\/((k*k*k*k*k**(-4\/7)*k*k)\/k))\/((k\/(k**(-1)*k))\/k)) assuming k is positive.\nAnswer: k**(48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1543109\/9 or 171457?\nAnswer: 1543109\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*g - 0*g. Let l(y) be the first derivative of 0*y**g + 2\/25*y**5 + 0*y + 2\/15*y**3 + 3 - 1\/5*y**4. Find f such that l(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18403 or 0?\nAnswer: -18403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -224*b**3 - 4*b**2 wrt b?\nAnswer: -1344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of o**4\/12 + o**3\/2 - 13*o**2\/2 - 36*o. Let l be q(-6). Solve -n = -l*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 322, -979, -2280?\nAnswer: -3581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + ((-2304)\/(-240) - 10).\nAnswer: 33\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -98417, -184457, -270487, -356501, -442493, -528457, -614387, -700277?\n\"Answer: f**3 - f**2 - 86044*f - 12373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -194.9*0.797\nAnswer: -155.3353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4366?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 - -1 - (-5 + -32) - 5. Let b(u) = -4*u - 3. Let d be b(-4). Solve -2*o - 3 = 2*v + d, -2*o = 5*v + y for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 15*i**2 + 3*i + 3. Suppose -3 - 1 = 2*x. Let m be s(x). Suppose -5*b - m = -8*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-21 - -19)*10\/(-4). Suppose 14 = z*q - 11. Suppose t + 42 = 5*s, -q*s + 0*t + 2*t + 39 = 0. Calculate the smallest common multiple of s and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -6*v. Let f(s) be the third derivative of 0*s**3 + s**2 + 0 + 1\/120*s**6 - 1\/12*s**4 + v*s + 0*s**5. Find the second derivative of f(d) wrt d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 5*o**2 - 591*o + 421. Give b(-23).\nAnswer: -798","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*h - 20*h + 60 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**4 - 3296*j**3 + 672352*j**2 + 2729088*j + 2742336.\nAnswer: 4*(j - 414)**2*(j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 34217003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5*z = 1 + 9, -3*z = -5*l - 34. What is the tens digit of 158*(-1)\/l*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1087 - -2284. Calculate the highest common factor of 665 and b.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 9*y + 2. Suppose -2*a - 1 + 15 = 0. Let g(d) = -19*d - 4*d + a + 2 + 60*d. Calculate -2*g(j) + 9*q(j).\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) 4 (c) 0.14 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddglodddooohdo. What is prob of sequence hl?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -732, 0, 2, 3, -13, -3 in decreasing order.\nAnswer: 3, 2, 0, -3, -13, -732","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*p - 5*z, 4*p + 5*z + 22 = 3*z for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 200322211?\nAnswer: 200322212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a*b**5*y**3 + 39*a*b**3*y**2 + 2*a*b**2*y**3 - a*b**2 - a*b*y**3 + y**2 wrt b?\nAnswer: -120*a*b**2*y**3 + 234*a*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157716.\nAnswer: 2, 3, 13, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304546*z - 5 = 304543*z - 5*f, 0*z + 4 = 5*z + 4*f for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6518 + 6515. Which is the nearest to 38? (a) 0.4 (b) 0 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 3*c - 3. Suppose -3*f + 3*o + 13 = -4*f, 0 = o + 1. Let x(v) = -2*v**2 + 5*v - v**2 + 5*v**2 + 5. Give f*n(b) - 6*x(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001010011 - 100001100011000000?\nAnswer: -100001010001101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27? (a) -0.6 (b) -3\/13 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*6*-2*(-1 + sqrt(2) - sqrt(2)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14580 and 4356.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 5:42 PM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11303.\nAnswer: 89, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*k**2 + 457*k**3 - 24*k**2 + 174*k**2 - 102*k**3.\nAnswer: 355*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2461131 plus 156558826?\nAnswer: 159019957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 21*x = -160. Let y be 3 - (30\/(-4) - (x - 14)). Which is the smallest value? (a) -2\/11 (b) 1\/4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-6) - 3\/(-2). Suppose -q*p + 387 - 99 = 0. Let u be 18 + 1 - (1 + 2). Calculate the highest common factor of u and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2018808.908 + -2020944.909451. Let i = 2136 + u. What is i rounded to four decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.116781 rounded to four dps?\nAnswer: 1.1168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -584 divided by 7.\nAnswer: -584\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4469034?\nAnswer: 2, 3, 67, 11117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14821 is divided by 495?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0*t - 4*t = -228, 5*t - 343 = 3*g. Let r be 2\/5 + g\/(-10). Let i be (1 - 1\/2)\/(7\/56). Calculate the greatest common divisor of i and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 724 + -409. Let n = x - 320. Sort -2, -4, n in descending order.\nAnswer: -2, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 less than 0.20459?\nAnswer: 13.20459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 399996 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 5*r**2 + 7*r + 3. Let l be w(-6). Does 14 divide (-6)\/(-2) + (-75)\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43280178 to the power of 1\/2, to the nearest integer?\nAnswer: 6579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 86809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by 340?\nAnswer: -23\/340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, c: 1, m: 4, w: 3}. Give prob of picking 2 w.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -511*(6 - (-220)\/(-35)).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/77003 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*n + 2*n + 2*n)*(1 + 2 - 5) - 1 - 29282*n + 33844*n - 1 + 2 to f + w*n and give w.\nAnswer: 4560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -115, -202, -299, -412, -547, -710, -907?\n\"Answer: -v**3 + v**2 - 83*v - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 12. Suppose 3*j - m*j = 9. Sort -9, j, 1 in ascending order.\nAnswer: -9, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from jajjjja?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5711 by 113.\nAnswer: -5711\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (1 + 7 - (1 + 15 + -9))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7081244 days in hours?\nAnswer: 16.9949856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -21*b + 99. Suppose 224 = -4*w - 4*l, -9 = -w + b*l - 45. Which is smaller: -50 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11467103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (0 + sqrt(704) + 2 + (sqrt(704) - -6*(sqrt(704) + 1 - sqrt(704)))**2 - (2 + 1*sqrt(704))**2*1).\nAnswer: 33 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 14.8.\nAnswer: -7.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*g - 40 = -166. Solve 2*h + 3*h + f + 1 = 0, -h - g*f = -7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 847\/3 - 283. What is the nearest to 0.14 in -3, v, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p - p + 0*p. Let j(i) be the second derivative of -i**3 - 15*i + 3. Determine j(z(u)).\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10\/25 - (-38)\/10*57?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -y**2\/2 + 4*y + 1. Let z = 785 + -781. Determine r(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.033429489 rounded to 5 dps?\nAnswer: -1.03343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 232 + -2 - (1 + -2)*1. Calculate the greatest common divisor of h and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -y**3\/3 - 6*y**2 - 15*y + 81. Let c be b(-5). Which is greater: c or 18?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of g**4\/24 + g**3\/6 + 5*g**2\/2 + 4. Let r(z) be the second derivative of l(z). Is 2 a factor of r(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (285 + -300 - (-87 + -2 + -1))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-14) + (12 - (-16200)\/56).\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**2 - 25*m - 9. Let n be x(-12). Let i(t) = -4*t**2 + n*t + 6 - 2*t - 7 + 2*t - t**3. Let d be -5*(-2)\/(-3 - -1). What is i(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33921*74.5.\nAnswer: 2527114.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1938401\/84 or -23076?\nAnswer: -1938401\/84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6564957 to two dps.\nAnswer: 0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r + 23*r - 510 = -50*r. Let a(p) = -p**2 + 8*p + 18. Give a(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r + 1. Suppose 3*c = 4*y + 39, -2*c + 69 = -5*y + 22. Let x(k) = 4*k + 4. Let j = -274 + 276. Calculate j*x(q) + y*l(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -4, -3, 2\/31, 0.3 in descending order.\nAnswer: 2\/3, 0.3, 2\/31, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**3\/9 - 34*r**2\/9 - 32*r\/9 = 0 for r.\nAnswer: -16, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n + 5. Let z be i(3). Suppose 18*h - 28*h + 50 = 0. Suppose 0*a + 5*a = 5. Put a, h, z in increasing order.\nAnswer: z, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 41 = -4*v, 2*v + k - 3 = 16. Let b be 10 - v - 2*1. What is the second biggest value in b, -4, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4 - (-4 - 85\/(-20))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 2.7, 0.56?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + -13)\/6 - 64\/(-20)*-5?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(2*c**3 + c**3 - c**3) - c**2 + 2*c**3 + 1 + c**2 + 4*c**3 + 0*c + 0*c + (0*c**2 + 0*c**2 + 2*c**2)*(16*c + 36 - 36).\nAnswer: 40*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -5*p**2 - 753475*p + 3767500 = 0.\nAnswer: -150700, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 242 - 115. Let h = q + -34. Suppose 4*x + h = 481. List the prime factors of x.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (28\/12)\/(38\/(-6) - -6)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -29, -28, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*s**3 - 31*s**3 + 128*s + 47*s**3 - 2*s**5 - 62*s**3 + 68*s**4 - 68*s**2 = 0.\nAnswer: -1, 0, 1, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 675002640 divided by -6\nAnswer: -112500440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 6*m + 4*m + (1 + 2 - 1)*(5 + m - 5) + 4*m + 5*m - m)*(4*m**2 - 6*m**2 + 4*m**2).\nAnswer: 18*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, s: 2, t: 3, p: 1, k: 5}. What is prob of sequence psk?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -361 - -610. Let r(c) = c**2 + 53*c + 442. Calculate the remainder when u is divided by r(-43).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9, -96, -237, -432, -681, -984?\n\"Answer: -27*y**2 - 6*y + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1098724894*f**3 - 169901145*f**2 + f - 2.\nAnswer: 6592349364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -4*m - 5*c + 15, -c = -2*m + 54. What is the third derivative of 12*u**4 + 6*u**2 + 18*u**2 - 2*u**5 + m*u**2 wrt u?\nAnswer: -120*u**2 + 288*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 555, 503, 451, 399?\nAnswer: 347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 31\/(465\/(-30)) - (-11 - 3)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29773915 and 2765?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1046?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 e when three letters picked without replacement from evzzzeve?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.07 + -0.9. Let y = w - 0.07. Let d = y + -0.16. What is d rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -17*a - 23 + 41*a**2 - 13*a + 2*a**3 + 5*a + 2*a**2. Does 7 divide u(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.5, -6, 0.11, -0.2, -3, 291, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/497400 and 91\/120.\nAnswer: 497400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -85*z + 21. What is the remainder when a(-1) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1415 - 0.3585. Which is the nearest to 0.009? (a) -2\/13 (b) z (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -10. Let u = 1626 - 1718.7. Let p = u + 93. What is the nearest to p in -1\/7, 5, i?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 3\/8, 5036 in increasing order.\nAnswer: 0.3, 3\/8, 5036","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -q**4\/3 + 2*q**3\/3 + 3*q**2 + q. Let s be k(-3). Let c = s + 43. Solve 9 = -4*h + c for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*l, -25 = r - 4*l - 8. Let a(h) = -h**3 - h**2. Let q(y) = 8*y**2 - 12*y. Let d(n) = r*q(n) - 8*a(n). Find the second derivative of d(s) wrt s.\nAnswer: 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 113 or 4705?\nAnswer: 4705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**2. Let o(n) = n + 1. Let a be o(-3). Calculate c(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33981220649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + 1 - sqrt(10)\/sqrt(80) - (5*sqrt(32) + sqrt(200) + -1))**2 + (sqrt(22) - 4*sqrt(198))\/((sqrt(110)*-3 + sqrt(110) - sqrt(110))\/sqrt(10)).\nAnswer: -256*sqrt(2)\/3 + 7953\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19.315*0.3.\nAnswer: -5.7945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 18*f**3 - 8 + 4*f - f - 17*f**3. Let k be w(10). Let y be 6\/(-14) + k\/98. Solve 2*n - y = -3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -6870?\nAnswer: 686c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiuuu. Give prob of picking 2 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1149*y**4 + 3*y**5 - 15*y + 9*y**3 - 8*y**2 + 1141*y**4 - 2275*y**4 + 3*y - 7*y**2.\nAnswer: 3*y*(y - 1)*(y + 1)**2*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m - 5*m - 3*h - 15 = 0, -m + h = -5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 7, 0.1, -7\/5, 30?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -6*x**2 + 7*x + 9. Let f be k(4). Let v = 374 - f. What are the prime factors of v?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-2) + (-3)\/3. Let k(x) = x**3 + 3. Let o = 3 + -3. Let j be k(o). Which is the closest to 0.1? (a) j (b) -0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiwi when four letters picked without replacement from {a: 7, i: 4, w: 5}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 7*z**2 + 5*z - 4. Let m = 38 + -26. Suppose -d - m = -3*d. What is the smallest common multiple of d and l(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**5\/7 + 2498*f**4\/7 + 68708*f**3\/7 + 404532*f**2\/7 - 1025190*f\/7 + 549450\/7 = 0. Calculate f.\nAnswer: -1221, -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z\/(((z**(-1\/7)\/z)\/z)\/z))\/z)\/(z**(-36)\/z)*(z\/((z**(-3\/8)\/z*z)\/z))\/z*z**6\/z assuming z is positive.\nAnswer: z**(2661\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 88421912 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**3 - 23066*h**2 + 300172*h - 277104 = 0?\nAnswer: -11546, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -138414844 divided by 101\nAnswer: -1370444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13*c**4*i*m + 135768*c*i*m + c*i + 30*i*m - 191*i - 2261*m wrt c?\nAnswer: 52*c**3*i*m + 135768*i*m + i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -45442 (base 9) in base 14?\nAnswer: -b04b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 3*h - 10. Suppose -4 = 2*i, -4*j + h*i = -0*i - 24. Suppose g - j*v = -3, -5*g + 4*g + v + 17 = 0. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 6*s**2 + 6*s + 11. Let z be b(-5). Solve y - z = -4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6712 is divided by 95.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 9:11 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 0*x + 2. What is the biggest value in -2\/3, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35031820193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.691 times 120647\nAnswer: 83367.077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t - 898*j + 902*j + 27 - 140, 2*t - 13*j + 296 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 896 + -514. Let m = c + 253. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 8063\/12296 + -125\/1272. Calculate the common denominator of -23\/16 and c.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/2170 and -99\/154690.\nAnswer: 1082830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 3*v - v + 4, 0 = 4*v - 16. Solve 2*r = -3*l - 18, -r + 2*r + k*l = -15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, a: 17}. Give prob of sequence aal.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -448 - -428. Find the common denominator of 2\/4 - (-78)\/40 and 4959\/456*z\/18.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t**3 + 1. Let m be n(-1). Solve 10 = m*c - 5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**3*u*w**3 - 50*i**3*u*w + i**3*u + i**3*w**2 + 75*i**2*u*w**3 - 2*i*u*w wrt w?\nAnswer: -6*i**3*u + 450*i**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -7*v. Let y(l) = l**3 + 8*l**2 - 9*l - 1. Let m be y(-9). Let u be a(m). Suppose -3*f - 96 = -3*b, -2*b = -u*b + 3*f + 154. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(-33))\/((1995\/99)\/5 - 4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 8 = -n + 3*m, m - 5 = 0. Let u be (n\/(-4))\/1*2. What is the biggest value in u, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 46143 - -21500?\nAnswer: 100643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 0 + (3 - 2). Which is the third smallest value? (a) -0.5 (b) -5\/3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2309997 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1138 + -668. Let w = i - 278. Calculate the highest common factor of 32 and w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 882 and 140?\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 + 5. Calculate the remainder when h is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 16*z + 13. Sort 1, z, 5.\nAnswer: z, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(1 + -2)*4. Let p be ((-288)\/40)\/(j\/(-10)). Suppose -w + p = 2*w. Solve b + 13 = 4*n + w*b, -n + 2 = b for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -15, -95 in ascending order.\nAnswer: -95, -15, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 4, 28*w + 1310 = 2*h + 26*w. What is h rounded to the nearest 10?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -166770*t**4 + 41*t - 5349570 wrt t.\nAnswer: -667080*t**3 + 41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -o**2\/2 - 1. Let d(n) = -2 - 12 + 2*n + 14. Give d(u(y)).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 276 and 114?\nAnswer: 5244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7687199 is divided by 44693.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o + 49202324. Let y(a) = a**2. Give h(y(k)).\nAnswer: -3*k**2 + 49202324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 3*w - 5, 4*r + 0*r = -2*w + 2. Let i = 1.07 - 0.67. Which is the smallest value? (a) i (b) 2\/15 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49168057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 12*l. Let n(i) = -3*i**2 + 16. What is n(o(x))?\nAnswer: -432*x**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is bba - 1?\nAnswer: bb9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -424.\nAnswer: -3\/424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 3*a + 1281, a = 2*o + 2*a - 2541. Suppose 0 = 14*g - 38*g + o. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 99906 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124 = -19*m - 5*m + 68 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - 481*h + 10611. What is y(22)?\nAnswer: -455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l + 3. Let r(g) = -g - 1. Suppose 5*d = -4*q - 5, d - 10 = q - 4*q. Calculate d*r(x) - f(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 901*k + 1238*k - 1919 - 220 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2020 - -143?\nAnswer: 2203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -7*o - 46. Suppose 0 = g + 2*g - 5*d - 51, -o*g + 24 = 4*d. What is the lowest common multiple of 17 and g?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52+-15479974772\nAnswer: -15479974824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -1\/6*b**3 + 1\/24*b**4 + b**2 + 0*b + 0. Suppose d = -f + 1, -d = -f - 11 + 6. Calculate a(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43 + -172. Let a = 131 + d. Suppose 0 = 7*t - a*t - 460. Calculate the lowest common multiple of 18 and t.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*f**2 + 10*f**2 + f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -9.17*-21.5\nAnswer: 197.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 1785\/162 + (-6)\/36.\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s**3 + 50*s**2 + 106*s - 921. Give a(-10).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(352) + -1*sqrt(352))*-5 - sqrt(352))\/(-3*sqrt(32)\/sqrt(4))*3*5 + 5.\nAnswer: 5 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23903599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 560.3103 years in millennia?\nAnswer: 0.5603103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*g = 6. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9678127 and 91109.\nAnswer: 2939","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 9. Suppose s = -3*t - 6. Let c = t - -13. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-3*((-196)\/21)\/(-14))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3887 + 3886.97093. Let s = 0.02915268 + o. Round s to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -237*i**2 + 29*i. Let y(n) = -n**2 - n + 1. Let c(a) = 3*h(a) + 6*y(a). What is the second derivative of c(v) wrt v?\nAnswer: -1434","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 236 divided by -235\nAnswer: -236\/235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*(p**(-4)\/p)\/p)\/p*p)\/(p*p**(-2\/51)))**(-26))**(-12) assuming p is positive.\nAnswer: p**(-31616\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 6, -4 in descending order.\nAnswer: 6, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3*sqrt(2205)*3)\/(sqrt(45)\/(-3*sqrt(20))).\nAnswer: -378*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16330*v - 16408*v - 156 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 110 + 14. Does 12 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -127894 + 23276635\/182. What is the common denominator of g and 139\/78?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 69 or 1\/30062?\nAnswer: 1\/30062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m + 3. Let q(x) = -2*x**2 - 1. Let w be q(1). Let g be l(w). What is the tens digit of (3\/g)\/(4\/(-136))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 11 + 4 = 0. Let w = -2 + y. Suppose -c = 5*f - 3*f - 28, 100 = w*c + 2*f. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/128 and -35\/376?\nAnswer: 6016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 90356 + -60731. What are the prime factors of u?\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3951 divide 15531381?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from iiippiippi.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1935 and 348300?\nAnswer: 348300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -6.7. Let o = -3.9 + 30.9. Let h = -29 + o. What is the biggest value in -5, r, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, 167, 248, 325?\nAnswer: 398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 615*x**2 + 3*x - 7. Let o be v(0). Suppose 0*a = -4*a - 12. Sort -2, a, o, 2 in ascending order.\nAnswer: o, a, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 122123988 by 102.\nAnswer: 1197294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, 1, -1, 0, 2 in descending order.\nAnswer: 48, 2, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -20, 4*r = 2*r - 3*s + 866. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 22*y + 3 + 2 + 3 in the form f + g*y and give g.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**4\/5 - 58*x**3\/5 - 417*x**2\/5 - 172*x - 100 = 0. Calculate x.\nAnswer: -50, -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/10 (b) 0.5 (c) 1 (d) 25 (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 47 and 0.3637?\nAnswer: 46.6363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/678)\/(16\/(-5)*(-545)\/(-1308)).\nAnswer: -1\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/14*(-16)\/48)\/(-2).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 9, i: 11}. What is prob of sequence ooio?\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -314*j + 39846*j**2 + 811*j - 248*j - 249*j to h*j + f + l*j**2 and give l.\nAnswer: 39846","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-5))\/((-4)\/(-10))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 15636, 3, -4, -2.\nAnswer: -18, -4, -2, 3, 15636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 12:01 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.22963 nanometers to micrometers.\nAnswer: 0.03322963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 8:55 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 8*k. Let j(s) be the first derivative of -s**4\/12 - 151*s - 17. Let f(n) be the first derivative of j(n). Give i(f(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -2, -613, -37, -4 in ascending order.\nAnswer: -613, -37, -4, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of 0*f + 2*f**2 - 1\/30*f**5 - 1\/2*f**3 + 0 + 0*f**4. What is the derivative of i(h) wrt h?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 239 = 3*h + 326, 9 = 3*h. Solve 0*w = -6*w + x for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/8390876 and 75\/26?\nAnswer: 8390876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/10 of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82357, 329450, 741263, 1317790, 2059025, 2964962, 4035595?\nAnswer: 5270918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 17*x**2 - 17*x - 14. Let t = -14 - -16. Suppose -4*q - 2*k = t*k - 36, 0 = -2*q + 4*k + 42. What is the remainder when q is divided by i(18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 8:20 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -340 (base 5) to base 3\nAnswer: -10112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28739086*g**3 - g**2 - 2*g + 230670132.\nAnswer: 86217258*g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahah. What is prob of sequence hh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 12:07 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 500, 0, 5 in increasing order.\nAnswer: 0, 5, 500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-11\/5))**(3\/28))**(-4) assuming f is positive.\nAnswer: f**(18\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 687839, 687794, 687749, 687704, 687659?\n\"Answer: -45*y + 687884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307 is divided by 188.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34113.\nAnswer: 3, 83, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -3*u - 8303, -1658 = -c + 7*u - 9*u. Let b(x) = 1662*x - 2 - c*x + 2. Let p(d) = 9*d**2. Determine p(b(g)).\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 410736, 822393, 1234052, 1645713?\n\"Answer: k**2 + 411654*k - 919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 9*u - 90 = 0. Let x = 37 + u. Is 19 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5247 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**5\/25 + 4*t**4\/25 + 24*t**3\/25 - 16*t**2\/5 + 64*t\/25.\nAnswer: -2*t*(t - 2)**3*(t + 4)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -155, -151, -133, -95, -31?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*s - 29, -2*z - z + 5*s + 36 = 0. Let j be 3 + (-81)\/z - (-4)\/7. Let u be (-1673)\/105 - (j\/5 - -2). Which is greater: -15 or u?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -53626 - -33155?\nAnswer: -20441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -0.3, -1, -0.08, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5569, -22039, -49037, -86197, -133153, -189539, -254989?\n\"Answer: 61*o**3 - 5630*o**2 - 7*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 31, 64, 97, 130?\n\"Answer: 33*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1601 and 62?\nAnswer: 62.1601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 minus 22713773671?\nAnswer: -22713773645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 206768153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 575 is divided by 288.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 27 = 3*n + 12, -4*n - 4*w + 12 = 0. Solve b - 2 = 0, -z + n = -4*b + 8*b for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1*m*m**10)**(-37)*(m**(-2)\/m)**21\/(m\/(m*(m\/(m\/((((m\/m**(-2\/7))\/m)\/m)\/m*m)))\/m*m))**50 assuming m is positive.\nAnswer: m**(-3799\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**3\/7 + 4962*y**2\/7 + 64923*y\/7 + 150030\/7 = 0. Calculate y.\nAnswer: -10, -3, 1667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**0*h)\/h)**23\/(h**5\/h**(-5)) assuming h is positive.\nAnswer: h**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 - 24. Let a be (-10)\/(-3) + d\/27. Solve -a*z + 2*z = -2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 - 3)*(4*c - 3*c - 3*c) + 2*c - 9*c + c + 6 + 3*c - 6.\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 2*q - 156, -q + 4*q = -3. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20035 + -20004. Solve 74 = -o*c + 43 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 5 = -3*l. Let v(w) = -w + 8. Let f be v(l). Suppose -4*u - 4 = f, -t + 2*u + 15 = 1. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*z = 4*y - 34, -26 = -5*z + 4*y. Let o be 1 + 3 - 2 - -1. Find the second derivative of z*h**3 - 9*h**o + h**3 + 3*h + 0*h wrt h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 - -142\/5. Let h(t) = t + 6. Let q be h(-4). What is the smallest value in g, q, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -x**8\/168 + 7*x**4\/24 - 6*x**2. Find the second derivative of z(c) wrt c.\nAnswer: -40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 1729\/2*d + 628*d**2 + 1\/2*d**5 + 107*d**3 - 17*d**4 + 361 = 0.\nAnswer: -2, -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 4 + 1 - 10 - j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l + 3*l - 2*l + (-l - 1 + 1)*(-1 + 0 - 1) + l + 4 - 4 - 1641*l + 577*l - 41 + 46 to x*l + h and give x.\nAnswer: -1060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, -3, 2, -1 in descending order.\nAnswer: 2, -1, -3, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*h = 15. Suppose 6 = -2*q - 4, 3*v - 5*q - 46 = 0. Suppose 4*w = 19 - v. Put 0, w, h in decreasing order.\nAnswer: w, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-29)\/17)\/(8\/58). Let m = c + 49\/4. Let w be 3*-6*5\/495. Put w, m, -3\/8 in decreasing order.\nAnswer: m, w, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(28)\/sqrt(4) + -2)) + sqrt(567).\nAnswer: 2 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.39722 and 24811.\nAnswer: 9855.42542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70527.756 - -70674. Let w = -146 + m. Round w to two dps.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-51)\/7)\/(-3) - (-164)\/287. Suppose 5*r + 4*u = 0, 0*r - s*r + 32 = -4*u. Sort 2\/7, r, 2, 4\/3 in increasing order.\nAnswer: 2\/7, 4\/3, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + 6*v**2 + 4*v - 4*v + 2*v**2 + (3*v - 3*v - v**2)*(1 + 2 - 4) + v**2 + v - v - v**2 + 3*v**2 + 3*v**2 in the form q*v + s + k*v**2 and give k.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 15*q - 24. Let s be ((-37)\/4)\/((-36)\/288). Suppose -301 = -4*n - 3*g, -5*n + g - s = -6*n. Calculate the remainder when n is divided by c(17).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 4*r - 1. Let c = -25 - -11. Let p = -3 - c. Let g = -7 + p. What is v(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.187968 + -4.187968. Let d be (-1)\/2*-2*-9. What is the third biggest value in x, d, -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30102 (base 4) to base 14\nAnswer: -402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m + 111. Let q be d(-23). Solve 4*i = a + q, 0*i - 30 = -5*a - 5*i for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times 5.242995\nAnswer: 0.3145797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 16\/160*(-75)\/(-30)*-8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -a9416 (base 14) to base 11\nAnswer: -25a869","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) 2 (c) 2746\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 6250 and 0.07.\nAnswer: 6250.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 - 2*y - y + 0*y - 2*y + (0 + 3 + 3)*(4*y - 4*y - 3*y) in the form b*y + v and give b.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 0 + (-2*(sqrt(15) - sqrt(135))*-6)\/(sqrt(80) + -6*sqrt(80)*1))**2.\nAnswer: -12*sqrt(3) + 733\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 3914087446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1673430112?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand h + h**4 + h**4 - 3*h**4 + (53 + 19 - 8)*(-2*h**4 - 4*h**4 - h**4).\nAnswer: -449*h**4 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + -39 - (3472\/(-494) + (-17)\/221).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 20162016 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + p - 2 + 3 - 2*p - 3 + (-3 + 0 + 5)*(2 - p - 2))*(112*p - 115*p + 5*p + 3144).\nAnswer: -6*p**2 - 9432*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 442 is divided by 209.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + v)*(0 - 2 + 4) - 78*v + 87*v + 37*v.\nAnswer: 48*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2369*k + 21331. Give p(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2628779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 177000 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -42. Suppose -5*i - j = -2. Let d be ((-3)\/i)\/(3\/(-3)). Are 0 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 + 7*d - 1. Let j be s(-5). What is the greatest common factor of 70 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*d**3 + 5*d - 47*d**3 - 39*d.\nAnswer: -3*d**3 - 34*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + -5 + (2 - 94). Calculate the common denominator of 6 + 0 + 371\/c and -79\/308.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*c + 28*c = 0. Sort c, -20, -1.\nAnswer: -20, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2017 rounded to the nearest one hundred?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*h = 93*h - 3*w + 66, -5*h - 11 = 2*w for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6017 is divided by 207?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 1 - y + 0*y + y**3 - 2. Suppose 0 = -11*h + 14*h - 186. Let w = 62 - h. Calculate z(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 20 = -16. Suppose f = -6*k + k + 3478, 4*k - 2768 = l*f. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -142 + 148. Solve -b = -2*r + j, -r - r - 2 = 3*b for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*u**5 + 20252*u**4 - 17*u**3 + 33367*u**2 + 123*u - 5 wrt u.\nAnswer: -840*u**2 + 486048*u - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2 = j, -5*j + h + 11 - 1 = 0. Let x(c) be the second derivative of 1\/3*c**3 + 1\/18*c**4 + 0 + 2\/3*c**j + c. Find i such that x(i) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 469*u**2 - 222*u**2 - 244*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -91*b**2. Let m(c) = -18*c**2. Determine m(p(s)).\nAnswer: -149058*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1672\/(-19152)*(-312)\/286\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*z - z = -59655, -p - 2*z + 29824 = 0. Suppose 17*y = -y + p. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.7 + 4.6. Let i be 2\/(-4) - (-56)\/176. Which is the second smallest value? (a) v (b) 1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z**2 + 4 - 4)*(0 - 4 + 3) + (-4*z**2 + z**2 + z**2)*(-156 + 106 - 118) to q + w*z + c*z**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49 - (3 - 8)) + (36 - 16) + -9.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146359 = -14*p + 145527. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1542415 (base 11) to base 8.\nAnswer: 12041316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 832579?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 11476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppjppppjpppjpj. What is prob of sequence jjp?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 371, -6, 3, 12 in decreasing order.\nAnswer: 371, 12, 5, 3, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*o + 817 = -1695, 4*o = -16. Calculate the remainder when m is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3 = 12, -3*v - b + 38 = 0. Let y = v - 6. What is the lowest common multiple of 1 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*x + 1 + (-2 - 1 + 4)*(x + 3*x - 2*x) + 0 + x + 0)*(-21 - 2*x**2 + 105 + 0*x**2).\nAnswer: -12*x**3 + 504*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 3 - (7 + -17).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15408 is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -14, 7551, 10, 24, -1 in descending order.\nAnswer: 7551, 24, 10, 1, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27821982 and 51006967?\nAnswer: 306041802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -6, -2, 86 in decreasing order.\nAnswer: 86, 4, 1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 z, and 1 m when three letters picked without replacement from qzzzmmxz.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**8\/504 - 4*r**7\/105 - r**6\/20 + 56*r**5\/45 - r**4 - 16*r**3 - 10582*r**2. Determine p so that a(p) = 0.\nAnswer: -3, -1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9379.6495 rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.0344756 + 16.0344666. Let i = -10.1 + -2.9. Let v = i + l. Round v to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-2*sqrt(2)*2)**2 - sqrt(2))*-5.\nAnswer: -960 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1815166958.\nAnswer: 2, 11, 199, 414611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 200730 = -2*r + 169062, -4*j = -r + 184900. Let d(y) = -10320*y - 12. Let q be d(9). Let x = r + q. Round x to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 219 - 95. Calculate the greatest common factor of a and 434.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 705, -5, -6 in increasing order.\nAnswer: -6, -5, -4, 3, 705","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of n**4\/12 - n**3\/6 - 29*n**2 - 2. Let t(d) = -d + 2. What is 2*j(q) + 3*t(q)?\nAnswer: q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1039*w - 1036*w = 3. Let s(d) = -d**3 + 6*d**2 - d + 2. Let c be s(6). Let g(a) = 10*a - 1. Let q(m) = 21*m - 2. Let h(l) = c*q(l) + 9*g(l). Give h(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/2 of a centimeter?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -530*u + 4950 = -1081*u + 462*u - 390 for u.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of f**3\/2 - 8*f. Let h(b) be the second derivative of 17*b**3\/6 - 6*b - 2. Give r(h(q)).\nAnswer: 51*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -105709 divided by 1\nAnswer: -105709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**3 + j - j)*(-4 - 5 - 2)*(3*j + 3*j - 4*j) - 2*j**4 + 2*j**4 + 2*j**4.\nAnswer: 46*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z - 48 + 85 = -113 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53 and 107844?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*l + 4*q, 4*l + 1 = -5*q. Suppose 2*z + 8*m - 4*m + 4 = 0, -4*m - 8 = z. Let t(j) = -j + 2. Let u be t(z). Put -1, l, u in ascending order.\nAnswer: u, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 11*t**2 - 14*t - 14. Is i(-10) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1321\/120 and 11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-7 - 1 - (-27 - (-185)\/10)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*j - 1281563 = 1253708 + 678451. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 - 98*z - 1981. Calculate p(-35).\nAnswer: 3899","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 448, -2, 4, 3, -2153.\nAnswer: -2153, -4, -2, 3, 4, 448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-10\/9)*j**2*(j**(-3)*j)**23)**29 assuming j is positive.\nAnswer: j**(-11774\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -m + 5*u, 9*m - 2*u + 35 - 65 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11 + 80794?\nAnswer: 807a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63*j + 15*j - 338*j to the form s + d*j and give d.\nAnswer: -386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 != -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -169918\/106205 + -2\/21241. Let h = -7 + 11. Which is the second biggest value? (a) h (b) 1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 496966 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*p + 40*p - 22*p - 4*p - 3*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29883601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1.8159 + -156\nAnswer: -157.8159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u - 3. Let s be h(7). Suppose s*o = -239 - 1033. Let d = o + 577. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18\/61 smaller than -133.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 2*v**5\/15 - 8*v**4\/3 + 52*v**3\/3 - 112*v**2\/3 + 98*v\/3 + 70. Suppose g(w) = 0. Calculate w.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 468, 863, 1260, 1659, 2060, 2463?\nAnswer: 2868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2 - 3*w - 10. Calculate s(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 56*h - 219*h - 8*h - 1368 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 61978 divided by -2?\nAnswer: -30989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4130 in -0.06, 0.3, 3?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 810225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 8.75. Let q = -0.05 + v. Let y = 10.4 + -11.4. What is the closest to y in -4, 1\/3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 6*c**2 + 68*c + 9389. Let d(s) = -21*s. Give d(l(k)).\nAnswer: -126*k**2 - 1428*k - 197169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 200.8842 plus -6?\nAnswer: 194.8842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 3:58 PM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 104.9 - 104.8. Are t and 6\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-12))\/(4\/59872) + 3. Let f = q - 9519. What is f rounded to the nearest one thousand?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 6*u**2 + 2*u + 2. Let o be y(-1). Does 16 divide (8 - 3 - o)*-287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 >= 11480481\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 5*p - 137, 0*p + 5*p + 76 = b. Calculate the remainder when b is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, p: 5}. What is prob of sequence pkpk?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zlezppzopnpnpeenonp. Give prob of picking 1 l and 3 p.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 88037.6\nAnswer: 8803.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2773148 is divided by 924369.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0822851774 minus 2?\nAnswer: -2.0822851774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (0 + sqrt(180) - sqrt(180))**2*5 + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*f = u - 872, 4*u + 2*f + 229 = 167 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5 + ((6*(sqrt(170)*2 - sqrt(170) - sqrt(170)) - sqrt(170) - sqrt(170))\/sqrt(10))**2 + (sqrt(612) + -5)*2.\nAnswer: 12*sqrt(17) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -99.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 2*n - 36. Suppose -h + 6 = h. Solve h*u + 9 = -n for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 - 16. Let r = -21.1 + p. Let u = -4 - r. Is 0.1 <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 16*b - 20*b + 13, 7*b - v = 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -43*o**2 - 1707*o + 406. Give h(-40).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a**3 + 576670*a**2 - 31125325*a - 31702000 = 0. What is a?\nAnswer: -1, 55, 115280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.531 to two dps.\nAnswer: -1.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + s + 8 = 0, -4*q + 2*s = -264. What are the prime factors of q?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - t = 164 + 24, -s + 3*t + 32 = 0. Let m(l) = s*l**2 + 3 + 0 - 2. Is m(1) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 545*n**3 - 2*n**2 - 2*n - 2. Let z be v(-2). Let o = z - -43783\/10. What is the common denominator of 59\/2 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c - 3*c - 2*c**2 + (-2*c + 0*c + 0*c)*(c - c + c) + 2*c**2 - 3*c**2 + 4*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2917289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 5*t - 32. Let d be g(-8). Let p = d + 68. Let v be 16\/(-84)*p\/((-16)\/(-6)). Which is the second smallest value? (a) v (b) 1 (c) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 u when two letters picked without replacement from bwtmtcu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*m = -80*m - 36 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 1 - 3 + 12*u + 24*u - 14*u. Let q be v(2). Let f be ((-28)\/3)\/1*-3. Calculate the greatest common divisor of q and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2021?\nAnswer: 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(22)*-4 - (sqrt(22) + sqrt(22) + sqrt(88) + sqrt(88)*1))\/(((sqrt(28)\/sqrt(2))\/sqrt(7) + sqrt(128)*2 + sqrt(128))*5) + -3.\nAnswer: -3 - 18*sqrt(11)\/125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fytywtttwbdtftyyftty. Give prob of picking 1 f, 1 w, 1 y, and 1 b.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -q**5\/4 - 25*q**4\/3 + 230*q**3\/3 - 240*q**2 + 345*q. Factor r(u).\nAnswer: -5*(u - 2)**2*(u + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 7*g + 9. Let n be r(4). Calculate the remainder when 3 is divided by n\/(-5) + (-8)\/(-20).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177252421433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 216720 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 696, 694, 692, 690, 688?\nAnswer: 686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -367376089\/96991188 - -24\/260729. Let u = k - 66\/31. Let b = -84827\/6890 + 8\/689. What is the common denominator of u and b?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t - 6. Let r be 9*(3 + 2 + -4). Let p be y(r). Which is bigger: p or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -0*d - d - 42004, 27984 = -2*z + 4*d. What is z rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1571 rounded to three dps?\nAnswer: 0.157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3870 and 3440?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and -135.500488112.\nAnswer: -135.900488112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from doodooddod. What is prob of sequence dd?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u. Let k(l) = -2*l**3 + 80*l**2 + l - 29. Let i be k(40). Let p(j) = 3905 + i*j**2 - 3905. Determine s(p(b)).\nAnswer: 44*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.136 take away 19210?\nAnswer: -19210.136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 22\/(-12) - 2491\/1974.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18a30 (base 16) in base 8?\nAnswer: -305060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 5*a. Let u(x) = x**2 + 20*x - 7. Let j be u(-23). Let z = -59 + j. Calculate the smallest common multiple of f(6) and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 19927*s - 106 = -19930*s, -7514 = -5*d - 198*s for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*h + 4040 + 2807 + 438 = -29*h for h.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 3:45 AM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2098 - 2093. Solve 2*w + 2*l = -2*l + 2, 0 = -x*l - 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 26 = 5*a, -a + 19 = 5*y - 2*a for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -126 (b) 1\/3 (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -294290636*o**5 + 272762936*o**2 wrt o.\nAnswer: -17657438160*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*b - 191*b = 142*b - 8246 for b.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*q - 2 = 0, 0*m = -m + 2*q. Suppose 0 = -5*v + 25, -4*v + 48 = 4*k - m. What are the prime factors of (-2)\/k + 26\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v. Let j(t) = -1 + 1 - 6 + 2 - 20*t. Let i(r) = -24*f(r) - j(r). Find the first derivative of i(q) wrt q.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -12*u - 33. Let p(y) = 3*y + 12. Let h(l) = i(l) + 3*p(l). Let x(q) = q + 1. Let s be x(-4). Let j = s - -6. Determine h(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccjcucccjcucuuc. What is prob of picking 2 j?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 4*h + 4. Suppose -3*w + 16 = 4. What is the units digit of y(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341748 divided by 44?\nAnswer: 7767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2055 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 3223 and 3221 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37358, -37360, -37364, -37370?\nAnswer: -37378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -58.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -7. Let f = 11877 - 11876. Calculate the greatest common factor of f and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 1045*z + 6270. Let x be i(-6). Let m = -0.01 + -0.29. Which is the nearest to x? (a) 0 (b) -1\/7 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*u + 3*u**2 + 3*u**3 + 9*u**2 - 3*u**2.\nAnswer: 3*u*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*d = 2 + 1, -1 = k - 5*d. Let g(u) = 47*u**2 - u - 1. Let s be g(k). Suppose -2*x + 4*p = 3*x - 53, 5*x - p = s. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4 + 2 + (sqrt(108) - (sqrt(108) - (sqrt(108) - (1 + sqrt(108))))) + sqrt(108) + sqrt(108)*2*3)**2 + -2.\nAnswer: 504*sqrt(3) + 5326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43108 (base 12) to base 3.\nAnswer: 11111002122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -6*s**3 - 4252*s**2 + 5681*s + 716. Give z(-710).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.24238 - -0.12561. Let c = l - -0.116. What is c rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 8:33 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11041898?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 1263\/7 - 180*f - 3\/7*f**2 = 0. What is f?\nAnswer: -421, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163596713?\nAnswer: 7, 23370959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**11*v)\/v)\/v**(-11))\/((v*v*v**6*v)\/(v*v**(-7))) assuming v is positive.\nAnswer: v**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 9\/(-6))*2*30\/(-24)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**25)**(-4))**(-44) assuming y is positive.\nAnswer: y**4400","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14064 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 + 9 - 9) + 2 + 1 + -11?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4605547 + 5?\nAnswer: -4605542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 107, 184, 107, -202, -821, -1828, -3301?\n\"Answer: -13*g**3 + g**2 + 165*g - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at most 4.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 88, 360, 798, 1390, 2124, 2988, 3970, 5058?\n\"Answer: -2*i**3 + 95*i**2 + i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i + 6. Let w(z) = 1. Let l(c) = -b(c) + 6*w(c). Let v be (-1)\/((-12)\/(-18)*(-3)\/2). Let t(q) = 7*q**2 - 3*q + 1. Determine v*t(d) - 3*l(d).\nAnswer: 7*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 777851\/6 - 129636. Determine t, given that -2\/3 - 31\/6*t**4 + 35\/6*t**5 + 4\/3*t + j*t**2 - 43\/6*t**3 = 0.\nAnswer: -1, -2\/5, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 14, 5, 4 in descending order.\nAnswer: 14, 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4))**(-37)\/(((s\/s**(7\/2))\/s)\/(s*s**2)) assuming s is positive.\nAnswer: s**(309\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-39)\/(-9)*3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*w - 1)*((3 - 1 - 1)*(-w + 4*w + w) - 4*w + 5*w + w).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 9:38 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3680 and 220?\nAnswer: 40480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (37 - 2 - (-16 - -26)) + -10?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**2 - 17*x + 36. Determine r(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 604*d - 1220 + 1962 = -5298 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*l - 9 = 0, 0 = 2*h - 5*l + 2*l - 9. Suppose 5*b = u - 0*u, -2 = -u + 3*b. Suppose -k + 0*k + 29 = 5*d, u*k - 20 = 0. Is d less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0463 - -24.3963. Let g = 0.34 + 24.66. Let h = g - l. What is h rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-11 - -18) - -27.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 47, 92, 129, 158?\n\"Answer: -4*j**2 + 57*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0011313304 to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**3 + 5*m**2 - 4*m - 28. Let k(n) = n**3 + 3*n**2 - 2*n - 13. What is -3*g(j) + 5*k(j)?\nAnswer: -4*j**3 + 2*j + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -140.8126 rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -2, 3, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 - 2890*v + 1403*v + 1396*v)*(-10*v - 9 - 9*v + 20*v + (5 - 2 - 4)*(2*v + 2*v - 2*v))*(2*v - 3 + 3).\nAnswer: -2*v**4 + 164*v**3 + 1638*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1536210*k**4*y - k**3*r*y + 630441*k**2*r*y + k*r*y + 4*y wrt k?\nAnswer: -36869040*k*y - 6*r*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14 + 2*u**3 - 26*u**2 + 26*u**2 with respect to u.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.999985 - -8. What is i rounded to six decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.16*-944502.\nAnswer: 151120.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a decade?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 381129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69422 and 1011.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 20*r + 947*r**2 + 9*r**2 + 0.\nAnswer: 956*r**2 - 20*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7533904*z**3 - 2*z**2 - 1218*z + 864 wrt z?\nAnswer: 45203424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -2c0?\nAnswer: -2c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -d**6\/30 - 47*d**4\/12 + d**3\/3 + 60*d**2 - 49*d + 2. What is the second derivative of i(z) wrt z?\nAnswer: -12*z**2 - 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/2082 and 59\/408.\nAnswer: 141576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -0*z. Solve z = -3*c - 5*x - 34, 0*c = 5*c + 5*x + 40 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 - -661. What is the remainder when m is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84192?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60.13 + -60.23. Which is the third smallest value? (a) q (b) 5 (c) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3642, -4887, -6132, -7377, -8622, -9867?\nAnswer: -11112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 277 - 351 - ((0 - 2) + -5 + 3) - -6\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uub when three letters picked without replacement from {q: 3, b: 10, y: 3, u: 4}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -18\/37 smaller than 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 40, 48, 70, 112, 180, 280, 418?\n\"Answer: b**3 + b**2 - 2*b + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/228)\/(34 - 33)\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (((-1856)\/160)\/29)\/(17\/10)\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2 - 7*g - 16. Suppose -3*u + 16 = a, -2*a + u - 66 = -7*a. Let h be f(a). What is the greatest common factor of h and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539)*1 + sqrt(76)\/sqrt(64) + (0 + sqrt(19))*1 + -1*(sqrt(19) - sqrt(76)))**2*-4.\nAnswer: -38475\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 175, 7, 4, 1 in decreasing order.\nAnswer: 175, 7, 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y**2 - 54*y - 42. What is t(15)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-130*d**5 - 22*d**5 - 113*d**5)*(2 - 5 - 2)*(13 + 12 - 7).\nAnswer: 23850*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 6*p + 45 + 3*p - 43 - 4*p. What is t(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277 + 89*i**2 - 92*i**2 + 277.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + -4. Let a(x) = 572*x - 2867. Let v be a(5). What is the third smallest value in v, u, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10843995?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4*p**2 + 5*p + 3. Let x be 15\/(-25) + (-6)\/15. Let m(s) = -s**2 - 1. Let n(q) = x*u(q) - 2*m(q). What is the tens digit of n(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 6. Let g(v) be the second derivative of -v**5\/30 + v**4\/8 - v**3\/3 + v**2\/2 - v. Let u(i) be the first derivative of g(i). Give u(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*(-5)\/(-30)*3. Let t be 84\/36 - (-2)\/3. Which is smaller: r or t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2150 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**5 + 71*u**4 - 7*u**3 - 503*u**2 - 426*u = 0. Calculate u.\nAnswer: -71, -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10047, -18812, -24985, -27270, -24371, -14992, 2163, 28390?\nAnswer: 64985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*k**3 - 3*k - 1894706*k**2 + 947353*k**2 + 3*k + 947353*k**2.\nAnswer: 69*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3892 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygihgll. What is prob of sequence iy?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5136*r - 5083*r - 94*r**2 - 67*r**2 + 10219*r.\nAnswer: -161*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116, -208, -276, -320?\nAnswer: -340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 3838 (c) -28\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -25659, -101033, -226663, -402555, -628715, -905149, -1231863?\n\"Answer: -l**3 - 25122*l**2 - l - 535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*r - 3*z, -10*z + 25 = -15*z. Suppose 3*x + 3*j = 21, x - 5*x = -3*j - 7. Let c = 12 - x. What is the greatest common factor of r and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(63)\/(sqrt(3) + (sqrt(300) - (sqrt(300)*1 + sqrt(300)))))\/(sqrt(12)\/(2*sqrt(4)) + (sqrt(21) + sqrt(189) + sqrt(21))\/sqrt(7)).\nAnswer: -2*sqrt(7)\/99 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1*sqrt(30))\/sqrt(10))**2 + -4 + (((sqrt(3) + 1 - sqrt(3)) + -5)**2 - (sqrt(3) - (sqrt(75) + -5)**2)).\nAnswer: -51*sqrt(3) + 160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -765 or -782?\nAnswer: -782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppipipppviiddvppip. Give prob of sequence pd.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = -2*q + 55. Let a be (-2)\/4 - (-4 - 3\/q). Suppose -a*n = 3*j - 315, 0*n - 561 = -5*n + 4*j. Calculate the remainder when n is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -4. Let s be r\/12 - (-45)\/20. Factor 0*j + 0 - 1\/2*j**s + 1\/2*j**3.\nAnswer: j**2*(j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 39123 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhcqqqhhhcqc. What is prob of sequence qcq?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k - 2. Let d be c(10). Suppose -534 = -d*v + 2*v. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0908 to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3046004*x**3 - x**2 + 29614*x - 39 wrt x.\nAnswer: 18276024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1727*-7633\nAnswer: 13182191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/522704 and 71\/8008?\nAnswer: 5749744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than 1283730?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23129 = -629*u + 91*u - 12379 for u.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 699446313?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001343398 rounded to 7 decimal places?\nAnswer: 0.0001343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*b - 1178 - 531 = -59 for b.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60186 and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/7311075 and 123\/112103150.\nAnswer: 336309450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 15*i**2 - 21906*i - 638782. Calculate j(1489).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -127755.9*-0.22\nAnswer: 28106.298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 5*u**2 + 2*u + 3. Determine a(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 430648 divided by -9?\nAnswer: -430648\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*z + 33 = -2*u, 3*u + 4*z - 67 = 0. Suppose -5*c - 5*d = -60, d = -0*c - 2*c + u. Is c a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1368189850 less than 0?\nAnswer: 1368189850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/3)*z*z*z**(-7)*z**(2\/29)*z*z**(1\/5)*z**(-5)\/(z\/z**4)*z*z*z**3\/z*z*z**(2\/3) assuming z is positive.\nAnswer: z**(262\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-42)\/(-68) - 8\/204*3. Let z(c) be the second derivative of 0*c**2 + 1\/3*c**4 - 5*c + a*c**3 + 0. What is the second derivative of z(f) wrt f?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57 and 1584?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (13*5\/(-10)*-1)\/((-3)\/6)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44146 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 352 + -238. Suppose -5*b - 2*d - 5 = -147, -3*b + 5*d + 110 = 0. Suppose x + b = 2*r. Calculate the greatest common factor of 9 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-2)\/(-6))\/((-1)\/(-5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 23*v**2 - 52*v - 46. Let r be a(-25). Suppose -2*s = -3*h - 60, 30*s - 40 = 29*s + r*h. What is the highest common factor of s and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -708 = 5*f + 252. Let a = 501 + f. Does 20 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 72774 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (252\/50)\/(-7)*110\/(-66)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**3 - 41*g**2 - 15*g + 11. Let u be o(21). Suppose -2*l + 28 - u = -5*m, 59 = -l - 2*m. Is 3\/2*(-119206)\/l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.724 + 1.724. Which is the second smallest value? (a) 185 (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -10 (b) 34 (c) 0.8 (d) 3\/5 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/11, -0.78, 0, -4\/5, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.06 (b) 1\/13 (c) 2\/17 (d) 0 (e) 8 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -3*d - 10 - 0, 3*d = 15. Solve 3*t = -g + 5 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 11)\/((-1)\/2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 37*u + 555. Let r be d(-15). Solve r = -0*s + s + 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.68885ug to grams.\nAnswer: 0.00003868885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34 or -89\/5?\nAnswer: -89\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 903, 1920, 3475, 5838, 9279, 14068, 20475, 28770?\n\"Answer: 45*k**3 - k**2 + 705*k + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*t = 88*t - 300*t - 1700 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 579\/1001 + -1\/143. Let p = 1.9 + -1.5. Which is the smallest value? (a) w (b) p (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((3 + 4*(2*sqrt(147)*-2 + sqrt(147) + -4))*-5)**2*4.\nAnswer: 218400*sqrt(3) + 2133695","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*s**5 - 29*s**5 + 5*s**5 - 37*s**5)*(-58 + 67 + 94).\nAnswer: -7416*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*c**2*y + 2*c**2 - 494*c*y - 11*c + 1248*y - 931700 wrt y?\nAnswer: -7*c**2 - 494*c + 1248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27b (base 12) in base 9?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 2907 = 1671. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 342 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -390*c**2 + 496*c**2 - 807*c**2.\nAnswer: -701*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 + -154\/3. Put 3, -0.02, v in decreasing order.\nAnswer: 3, v, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of 53*d**4\/24 + 11*d**3\/6 + 2*d**2 - 6. What are the prime factors of y(3)?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 - -23. Is 4\/12*4707\/h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 65 and 491.\nAnswer: 31915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 3*d + 5. Suppose -3*i - 4 = -m + 1, 0 = -i - 5*m - 7. Let h be f(i). Let k = 4.06 - 0.06. Put k, 0.1, h in decreasing order.\nAnswer: k, h, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q**3 - q**2 + 5*q + 14. Let i(z) = 4*z**3 - z**2 + 4*z + 12. Give -5*i(g) + 4*v(g).\nAnswer: -4*g**3 + g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-60)\/40*(-12)\/(-9). Suppose -7*j + 25 = -2*j. What is the nearest to -1 in j, -2\/5, d?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003024 rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000122078 to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*k - 80234 + 80395. Calculate the lowest common multiple of -1 - -2*14\/4 and k.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -7*d + 3*d + 4*v + 18, 30*v + 25 = 25*v for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/11514921 and -23\/10.\nAnswer: 115149210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42.8 + -115. Let g = w + 84. What is g rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 15*h + 415. Let x be y(12). Let w(l) = 302*l + 294*l - x*l - 12. Give w(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 581614\nAnswer: 2908070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 879.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-7)*(-87)\/(-58))\/(11\/77).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5372462127 to the nearest integer?\nAnswer: 1751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 5.2 (b) -1\/3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (1 - 2)*1. Let j(y) = 2*y**2 + y**z - 8*y - 3*y**2 + 8 - 5*y**2. What is the units digit of j(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -748, -0.18, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 187461411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {j: 3, y: 5}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 + 4*i + 5. Let l be d(-6). Suppose 190 = -9*y + 4*y. Let b = y + l. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -139 - -199. Let m = 32 - x. Let c = m + 29. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2513800 rounded to the nearest 100000?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000013061308479 rounded to 6 decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 276 and 2610?\nAnswer: 120060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -398, -408, -426, -452, -486, -528?\n\"Answer: -4*a**2 + 2*a - 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/653 and (-33)\/(-7)*(127\/(-8) - -15).\nAnswer: 5224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -379 + 379 - 13*x**3.\nAnswer: -13*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -11*x**2. Let z(n) = -4*n**2. Let j(b) = -3*d(b) + 8*z(b). Let l(m) be the third derivative of 2*m**5\/15 - m**2. Give j(l(v)).\nAnswer: 64*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-45 + 45 - 2*a**2 + (-2 + 0 + 5)*(-3*a**2 + a**2 + 4*a**2))*((-2*a - 2*a + 6*a)*(-2 + 1 + 3) + 4*a + 3 - 3) as q*a**3 + o*a**2 + d*a + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1 + sqrt(567) + sqrt(567)*3 + sqrt(567))**2*1.\nAnswer: -90*sqrt(7) + 14175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -29*a + 445*a + 35 + 168*a. Is y(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**2\/2 + 403*t\/2 + 640374 = 0.\nAnswer: -948, 1351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1336566 to the power of 1\/4, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jqj when three letters picked without replacement from jqqjd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*l + 3*l + 2*l)*(-2 + 5 - 4)*(-25 - 42 + 94)*(41 + 19 - 47) as o + k*l and give k.\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*k + k. Let s = 11 - 5. Let z(d) = -7*d + 40. Let o be z(s). What is the third biggest value in o, 0.3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n + 9. Let y be v(7). Let u(w) be the first derivative of 0*w - 3 - 1\/2*w**y. Let g(z) = -z**2. Determine u(g(k)).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 - 3*i**2 + 0*i**2)*(1 - 1 - 2*i) - 30*i**3 - 68*i**3 - i**3.\nAnswer: -95*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vm when two letters picked without replacement from {m: 4, v: 2, e: 5, d: 7}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*j, 0 = -c - c + 2*j + 56. Let p(q) = q**3 + 54*q**2 + 162*q + 3062. Let a be p(-52). Calculate the highest common factor of c and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mw when two letters picked without replacement from {m: 2, h: 4, w: 2, q: 2}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -18486?\nAnswer: 1848.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 4:29 AM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6674977?\nAnswer: 241, 27697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.48 + -50.52. Let j = 3314972.999976 + -3314922. Let i = u + j. Round i to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8300079233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 4*z**5 - 1014*z**4 + 12154*z**3 - 25104*z**2 + 9640*z = 0.\nAnswer: 0, 1\/2, 2, 10, 241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.039851nm in millimeters?\nAnswer: 0.000006039851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**2 - 5*z + 5. Let g(n) = 2*n**2 - 6*n + 3. Calculate 4*f(c) - 5*g(c).\nAnswer: -2*c**2 + 10*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2636276 divided by -9\nAnswer: 2636276\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -267*v**5\/5 + 4*v**3\/3 + 2108*v - 1197. Differentiate x(a) with respect to a.\nAnswer: -1068*a**3 + 8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-20)*-5 - 5. Which is smaller: -4 or w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-60)\/270 + (-76)\/(-18). Let d(b) = -b**2 + 5*b + 2. What is the units digit of d(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.114158448485186 and -6?\nAnswer: 5.885841551514814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4248*f + 4229*f - 8523*f.\nAnswer: -46*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -1. Let o be (-6)\/(-8) + (-6)\/8. Let r = d - o. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = -3*i - 115. Which is the third biggest value? (a) -0.1 (b) i (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (79 - 10*i - 79)*(8 + 18 - 6) + 3*i - 4 + 4 + 2*i - i - 2*i + (i + 2 - 2)*(-2 + 0 + 0) + 5 - i - 5 - 4 + 4 - i.\nAnswer: -202*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 1)\/(-4 - -6). Suppose -f + 7 = -n*f. Let a(g) = -6*g - 3*g + f*g. Let b(m) = 5*m**2. Calculate a(b(i)).\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 3002202?\nAnswer: 3002186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*t**2 - 1)*(20 - 20 + 10*t**2) - 2*t**4 + 3*t**4 + 0*t**4 + 4 - 4 - 3*t**4 + 0*t**2 + 2*t**4 + 0*t**2.\nAnswer: 20*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**2. Let q(c) = 2*c - 49. Calculate a(q(l)).\nAnswer: -8*l**2 + 392*l - 4802","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 162\/(-99)*(-176)\/24 + -4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6491, -6484, -6473, -6458, -6439, -6416, -6389?\nAnswer: -6358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 7*s**2 + s - 5. Suppose 2*g - 5*p = 6*g - 8, p = -4. Let k be c(g). Sort k, -6, 4, 1 in decreasing order.\nAnswer: 4, k, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -81017 > -81016?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.89 - -15. Let j = t - 0.1099982. What is j rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.12 - 2.9. Let p = -24363.433 + 24363.65300038. Let r = p - y. What is r rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express z + 0*z + 86 + 2*z - 2*z - 200 in the form r*z + a and give a.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 156 - 66. Suppose -5*p + u = 5*t, -t + 4*p + 38 = 5. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 + 136. Let f = g - 91. Solve 0 = f*p - p - 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 j when two letters picked without replacement from {m: 2, j: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18083 - -18084. Sort 0.4, c, -0.5, 4\/5.\nAnswer: -0.5, 0.4, 4\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -62 - -95. Find the common denominator of (8 - 9) + 139\/20 and w\/(-6) - (-4)\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 12 = k. Let p(s) = 1 - k*s - 4 + 10. Let z(q) = q - 2. Let c(l) = l**2 - 5*l - 4. Let d be c(6). Calculate d*p(a) + 7*z(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5*q - 10 = 0, 4*u + 3 = 4*q - 5. Suppose u = -33*l + 25*l. Let g(i) = -i**3 + 7. Calculate g(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 25 = -13*n - 4*n + 17*n + 2*g, g + 341 = 57*n - 19*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (373*l - 182*l + 198 - 190*l)*(-14 + 11 - 14).\nAnswer: -17*l - 3366","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(650) + ((sqrt(650) + (sqrt(650) - sqrt(650)*1))*-3 - sqrt(650) - sqrt(650)) + sqrt(650))\/(-3*((sqrt(48)\/sqrt(2) - sqrt(24))\/sqrt(12) - sqrt(2))).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - -10 - (5 + -4 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20683 is divided by 292?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -313028 by -3.\nAnswer: 313028\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -99 - -151. Calculate the remainder when -8*4\/(-272) + 232740\/204 is divided by r.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-32)\/6*273\/182 - -95243) + 2.\nAnswer: 131, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64\/1440*-27*((-2)\/(-4))\/(18\/(-8))?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1933000 to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*17.8.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3133*m*z**2 + 2*m + 2*z - 4060 wrt z.\nAnswer: -6266*m*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16118 is divided by 365.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 55 = -43. Let f = b + -55. Let c(d) be the first derivative of d**3\/3 + 7*d**2\/2 + 2*d - 2. Give c(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -m**5\/20 - m**4\/12 - m**2 - 19*m. Determine n(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 36994798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00016116456 to seven decimal places.\nAnswer: -0.0001612","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**5 + 82*n**4 + 2040*n**3 + 14688*n**2 + 31104*n = 0.\nAnswer: -36, -6, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6758 - ((-1)\/3 + 63\/27). Suppose -s = -p - 11*p. Is 12 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence whw when three letters picked without replacement from {h: 1, d: 1, x: 1, w: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and -0.0306349.\nAnswer: -2.0306349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 11:52 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1290 by -645.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 19*u**2 - 32*u - 18. Let d be j(17). Let i be (-140)\/(-21) + -6 - d\/(-3). Does 12 divide 339*1\/i*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7833499852?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 660787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 267*(-4)\/(-60)*5 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4533 - -6356. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 54778397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 - -1104?\nAnswer: 1036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -15*u**2 - 1. Let c(o) = 16*o**2 + 1. Give 4*a(y) + 3*c(y).\nAnswer: -12*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2 - 44*h - 22. Let l be ((-4)\/(-6))\/(-5*(-6)\/90). Let z(d) = -2*d - 1. Let j(n) = l*w(n) - 44*z(n). Let i(u) = 0*u + 5*u + 17*u. Give j(i(c)).\nAnswer: 1936*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -140752507029 + 1\nAnswer: -140752507028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 14*k**2 - 15*k + 13. Determine y(-15).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 125 + -131. Put l, -0.2, 5 in ascending order.\nAnswer: l, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lsx when three letters picked without replacement from {x: 2, s: 2, r: 1, l: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -550, -546, -538, -526, -510, -490, -466?\n\"Answer: 2*n**2 - 2*n - 550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 23*z**2 + 11. Let m(k) = 91*k**2 + 49. Let f(t) = 9*h(t) - 2*m(t). Calculate f(-1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5280 - -5284. Let g = -5 + 3. Sort -3, g, 1, u in increasing order.\nAnswer: -3, g, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.197682 hours to microseconds.\nAnswer: 22311655200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 26 and 1443379549961.\nAnswer: 1443379549987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1004 = 70*d + 253 + 353 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 594909318.\nAnswer: 2, 3, 99151553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-6)*-17)\/((-1)\/(-2)). Round z to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-192)\/(-2352)*7\/(-2)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - -1)\/((-2)\/((-196)\/35)). Suppose u*w - 40*w = -78. Let m = 8 + -4. Solve -w*j - 11 = -4*k, -4*j - 3*k - k + m = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w - 6. Let r be u(5). Let j be 1 - (-1 + r*38). Calculate the greatest common factor of 16 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5*i + 29, 5*i - 5*h + 18 + 17 = 0. Let g(q) = 4*q + 13. Let b(a) = 2*a + 7. Let m(l) = 5*b(l) - 3*g(l). What is m(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 575196323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -177bb82 + 5?\nAnswer: -177bb7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 3 + (0 - 1 + 0)*(-3 + 2 + 0) + 3 - 4 + 0)*((-2*a - 3*a + 3*a)*(-a**2 - 2*a**2 + 4*a**2) - 30*a**3 - 42*a**3 + 18*a**3).\nAnswer: 112*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 4:57 PM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -l**8\/672 - l**7\/420 - 2*l**2 + 2. Let j(q) be the second derivative of n(q). Factor j(b).\nAnswer: -b**4*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*i + 45 = -44*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (((-3157)\/22)\/41)\/(2\/12)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69 + -14. Let n = l - -72. What are the prime factors of n?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -156 - -92. Let q = 69 + u. Let n = 776\/7 + -111. Which is bigger: q or n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3647 + 1025. What are the prime factors of h?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -62229 and -124455\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3409*u - 80 = 8*l + 3405*u, -4*l + 3*u = 54 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 17\/4 of a day?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 225 + (4 - (-36)\/(-4)). What is the derivative of 454*m**4 - 47 - n*m**4 - 290*m**4 + 2*m**3 wrt m?\nAnswer: -224*m**3 + 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 660144 = -659964, 2*u = -2*p - 120 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cfvfyvccymzcfvz. Give prob of picking 1 v and 1 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 26990?\nAnswer: -2\/13495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -35*0.42686\nAnswer: -14.9401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 10691 = -4*u, -15*u + 5*l = -14*u - 2654. What is the thousands digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2. Let j = 8 + -9. Let y(k) = -k**2. Let l(d) = 21*d**2. Let w(b) = j*l(b) - 15*y(b). Determine s(w(i)).\nAnswer: 36*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 22*h**2 + 2*h + 1. Let g be x(2). Let o be g\/(-21) - (5 + -9). What is the smallest value in o, -5, -3\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = -66*y + 70*y. Is y at most 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 163123514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -t - 0*c - 2*c, 2*t = 4*c - 28 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59 + -5. Let w = s + -57. What is the second biggest value in 0, w, 27?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 7:57 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 932 and 3104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*u**3 + 31*u**3 + u**2 - u**2.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 63*g**3 - 63*g**3 + 6*g**5 - 2*g wrt g?\nAnswer: 120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 0)*(-4)\/(4\/(-5)). Let t(a) = a + 6. Calculate t(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23713855, -94855404, -213424661, -379421632, -592846323?\nAnswer: -853698740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 (base 9) in base 7?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -13*h**6\/15 - h**3\/3 + 3*h. Find the second derivative of f(k) wrt k.\nAnswer: -312*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1090959648?\nAnswer: 2, 3, 11364163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -277 - -280. Let u = 3 - 0. Find the third derivative of 7*x**u - 19*x**3 + x**2 - l*x**2 + 9*x**3 wrt x.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 4 + 3 - 1 - 4 + (4 - 3 - 2)*(-1 + 0 - 1) - 2 + 1 + 2 + 1 - 1 + 2 - 6 + 2 + 2 + (-4 + 3 + 0)*(1 + 0 + 1))*(-4*i**3 + 6*i**3 - 4*i**3).\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**5 + 228*a**3 + 131*a**2.\nAnswer: -120*a**2 + 1368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2659, 21264, 71811, 170284, 332667, 574944, 913099, 1363116?\n\"Answer: 2664*v**3 - 13*v**2 - 4*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -11 - 9 - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + (sqrt(468)*-2)**2 + 3) + -5.\nAnswer: 9375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 801028.8km in centimeters?\nAnswer: 80102880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*t + 4 = 5*t + 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 2*p**2 + 5*p + 2. Let q be v(-2). Put q, 1, -4, 2 in ascending order.\nAnswer: -4, 1, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -337*o**5\/10 - o**4\/6 + 16*o**3\/3 - 4*o**2 + 109. Find the second derivative of u(k) wrt k.\nAnswer: -4044","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (4 + -224)\/(-10)*17 and 18?\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -3*a + 2*a. Suppose a = -3*x + 4*f + 192, 2*x - 69 = 2*f + 61. Let t = -2 + 19. Calculate the highest common factor of t and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -2*l + 39 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/250230140 and -29\/2136690?\nAnswer: 2252071260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 17370, 26390, 35410, 44430, 53450?\n\"Answer: 9020*x + 8350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z - 7. Let a be d(7). Let h be (10 + a)*(-3)\/(-2). Calculate the greatest common factor of h and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 20, -32, -4, -456, -5, 3 in ascending order.\nAnswer: -456, -32, -5, -4, -1, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.72? (a) -16\/5 (b) 0.1 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 5 = -3*f. Suppose -3*l + 22 = 5*x, -3*l = -2*x + l - 12. Suppose 4*v + v - 26 = -w, 0 = -x*w + 3*v. Put f, w, -5 in increasing order.\nAnswer: -5, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 188*p - p**2 - 181*p - 3*p**3 + 12 + 5 to the form y*p + x + h*p**2 + i*p**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 3)*(-1 + 2 - 2)*(-3*a + 5*a - a) + (2 - 2 - 1)*(4*a - 3*a + 0*a) + 3*a - a - a as o*a + n and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + m + 9 = 0. Suppose -5*z + m = -1. Calculate the greatest common divisor of z and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**3 + 51988 + 51970 - 155943 - 5*d**2 + 51985.\nAnswer: -d**3 - 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 22*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 4. Suppose 0 = -5*c + 2*c - 9, f = -2*s + c - 261. What is the common denominator of -10 and (2 + s\/(-27))\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*h**3 - 3*h**3 + 7*h**3 + 6*h wrt h?\nAnswer: 42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by (-954)\/(-42) + (-6)\/(-21)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 1 - -7) + (4 - -4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 o when two letters picked without replacement from {y: 5, e: 5, d: 2, o: 2, m: 2, r: 2}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, u: 1, p: 1, m: 4}. Give prob of sequence muz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-2)*j\/(j**(5\/2)\/j*j)*j*j*j**(-2\/27)*j**2)**18)**(-1\/83) assuming j is positive.\nAnswer: j**(-293\/249)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 9*v - 396. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 1:03 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -123145 (base 10) in base 3?\nAnswer: -20020220221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.144631*-15\nAnswer: 2.169465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.02 (b) -16 (c) -3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5763 in 0, -1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 2*d - 4 - 1 = 0, 4*j + 2*d - 20 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*l - 4 = 0, -4*l + 10 = 2*n - l. Let u be (-6)\/10 + n\/(-5). Let z = 236 + -2126\/9. Which is smaller: z or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) -1\/11 (c) -38 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 2:08 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1301 is divided by 1252.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - 3 - (-6 + 6\/1). Let j = 2\/233 + -703\/466. Which is the third biggest value? (a) j (b) 1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 9, 37, 91, 171, 277, 409, 567?\n\"Answer: 13*t**2 - 11*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-1)*3\/(-6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 402 a factor of 1508199480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2. Suppose 5*q = -b + 5*b + 10, 4*b = 3*q + 2. Let j = q + -4. Let w(d) = -2*d**2 + d**j + 3*d**2. Calculate w(c(o)).\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**2\/2 - 53407*n\/2 + 53405 = 0. Calculate n.\nAnswer: 2, 53405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12622906623.58 + -281380015.42. Let h = b + 12904286884.00000107. Let v = 245 - h. What is v rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {c: 7, d: 1, y: 5, w: 4, t: 2, z: 1}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1013637 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 t when two letters picked without replacement from ataattt.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/16*(-8 + 4) - 8\/24. Sort p, 5, 40, -2 in ascending order.\nAnswer: -2, p, 5, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11655 and 267547?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2533*l = 2537*l - 3*i - 6, -2*l - 6 = 3*i for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of 2*u**3\/3 + 2*u. Let x(v) be the second derivative of -v**3\/3 + 33*v. Give f(x(y)).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + -28 + (88 - 57).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/2)\/(42\/8988). Suppose -111 = -r - l. Let 2\/3*d**r - 4\/3*d**3 + 2\/3*d**5 + 2\/3*d - 4\/3*d**2 + 2\/3 = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 4*s**2 + s - 1. Give y(5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -186 * 812\nAnswer: -151032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r**2 + r - 19*r**2 - r.\nAnswer: -13*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/129693 and 8\/15.\nAnswer: 648465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -4*n - 58, 4*z - 215 = -z - 5*n. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - u - 369*u**3 + 180*u**3 + 188*u**3 + u.\nAnswer: -u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1107 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 7:55 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w + 1. Let z(k) = k**2 - 8*k - 8. Give 24*y(f) + 3*z(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 1 - (-10 - -19 - 10)) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -256491920 by 6676.\nAnswer: -38420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.616*-6.9.\nAnswer: -4.2504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**3 - 4*d**2 + 2*d. Let c be y(2). Find the first derivative of 6 - 2*b + 14 - c - b wrt b.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-6)\/2*(-20)\/6 and (((-378)\/(-12))\/(-21))\/(1\/(-20))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i + 13. Let q be p(-9). Let n = -0.3 - -0.6. Which is the nearest to 0.2? (a) q (b) n (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 112 - 206. Let r = 204 + i. Calculate the highest common factor of r and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8798656*i**2*y**2 - 8620*i**2 + 245*i*y - 2*i + y wrt y?\nAnswer: -17597312*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one eighteenth of a day in minutes?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-0.240662735.\nAnswer: -0.048132547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*i - 324 = 14*i. Suppose 2*r = -j + 1, 0 = 4*j - 2*r + 3*r - i. Solve j*b = 32 - 37 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -310 and -228502.\nAnswer: 70835620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(-10*l**2 + 7*l - 20*l + 11*l).\nAnswer: 20*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47 - 51. Let c be (19\/m)\/(21\/(-84)). Is 19 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -9*r**2 + 21*r - 53. Give i(7).\nAnswer: -347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and -3971642.9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 + -27. Solve -p = -j*p - 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2790 and 630?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -214 - -212.47. Let p = -2996.409 - -2998. Let f = p + x. What is f rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28706?\nAnswer: 2, 31, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + -17. Let u(v) = v**2 + v + 4. Let d be u(0). Let j(r) = -r**3 + 114*r**2 - 116*r + 336. Let n be j(113). Sort n, b, d in decreasing order.\nAnswer: d, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v - 713*v**2 - v - 866*v**2 - 710*v**2 + 2299*v**2.\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16306 a multiple of 376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4374121 to the power of 1\/3, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*w + 139 = -681 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -1. Let b(i) = i**3 + 4*i**2 - i + 3. Let g(v) = -b(v) - o(v). Calculate g(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 6.8. Suppose 2*z = -3*z. Sort m, z, 5 in decreasing order.\nAnswer: 5, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 10*z**2 - 133*z + 37. Give l(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 284 + -205. Calculate the remainder when n is divided by 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*8\/(-2) - 2. Let s(d) = 11 - 11 + d**q. Let x(f) be the second derivative of f**3\/2 + f. What is s(x(k))?\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2*y = 5*o - 12, -4*o + y = 1. Let c(p) = -8*p + 2. Calculate c(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 = 37*d - 240 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.0457 * 4\nAnswer: -0.1828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -780767, -780788, -780809?\nAnswer: -780830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 254*p + 106 - 504 - 232 - 1828*p - 1131 wrt p?\nAnswer: -1574","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -52021b + 69?\nAnswer: -520172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 106595660 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -826315640 to the nearest one million.\nAnswer: -826000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -11*i**2 - 4*i + 16. Let j(s) = -2*s**2 - s + 4. Let x(u) = -12*j(u) + 3*n(u). Let a(d) = 47*d. Calculate x(a(m)).\nAnswer: -19881*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81 and 4469391?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5*z = -t + 35, 3*t - 33 = 3*z. Solve t = -5*o + 5*n - 6, 4*n - 12 = 5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1143*r - 535*r = -21238 - 30331 + 10225 for r.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -86, -1, 15 in decreasing order.\nAnswer: 15, -1, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*sqrt(720) - sqrt(720))*-4)**2 + -4 - (1*(sqrt(500) + -1) + (-1*sqrt(500)*3 - sqrt(500)))**2) + 1.\nAnswer: -60*sqrt(5) + 179816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12006 divided by -46.\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 7\/10)\/(9\/5). Let t = 1.308 + -0.108. What is the nearest to 3 in t, v, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*s - 7 = -153, 4*s = 4*r - 112. Is 41 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**4\/2 + 1245*w**3\/2 + 167337*w**2\/2 + 6583179*w\/2 - 47181882 = 0 for w.\nAnswer: -148, -139, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 2*m - 6*m)*(3*m - 4*m + 2*m) - m**2 - m**2 - m**2 + (-4 + 4 + 2*m)*(5*m - 5*m - 2*m) + 0*m**2 + 4*m**2 - 5*m**2.\nAnswer: -17*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -32781, -62770, -92761, -122754?\n\"Answer: -z**2 - 29986*z - 2794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3*(sqrt(216)\/sqrt(3) - -4*sqrt(2)*-5))**2 + 1.\nAnswer: -252*sqrt(2) + 3538","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4024800.\nAnswer: 2, 3, 5, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 4*d + 23*i - 20*i, -d = -9*i + 40 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 75 + -72. Suppose -3 = 3*x - 3*v, 4*x + 3*v = -x + y. Solve 2*z - z = 3*j - 6, x = z + 5*j - 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.095008299 rounded to 4 dps?\nAnswer: -0.095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -280*f**3 + 35*f**2 - 53*f + 20. Let i be s(15). Round i to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4254 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5435541 is divided by 1811839?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4901178 or -4901175?\nAnswer: -4901178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -703 - -798. Which is bigger: 0.2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -8*c**3 - 6*c**2 - 6. Suppose -3*l + 4*j = 2, -9*l + j = -5*l + 20. Let z(a) = -17*a**3 - 13*a**2 - 13. What is l*z(g) + 13*n(g)?\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p\/(((p*p**1*p)\/p*p)\/p)*p)**(27\/4))**16 assuming p is positive.\nAnswer: p**216","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fx when two letters picked without replacement from dgxfddg.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-two fifths of a meter?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1523 is divided by 1507?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -15*t**2 + 144*t + 60 = 0.\nAnswer: -2\/5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 q, and 1 f when three letters picked without replacement from {a: 1, l: 3, z: 1, q: 4, h: 1, f: 6}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-30)*-5)\/((-56)\/12).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 t, and 1 g when four letters picked without replacement from ggdbtssptgtstptsp?\nAnswer: 6\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 61\/244 - 1\/(-20)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3217 and 19303\/6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30.5 + -31. Let k = f - -0.548. Round k to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 9*g - 8. Let b be u(9). Let i be (-4)\/2*44\/b. Let x = i + -1. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 168808697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -9861\/75046?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*d = 12 - 4, 2*y + d = 6. Let k = 385 - 241. Does 11 divide ((-21)\/(-28))\/(y\/k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -85*l**3 + 205*l**3 + 7*l**2 - 136*l**3 - 38*l**2 - 75*l**2 as p*l**2 + x + d*l + i*l**3 and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 129 times -3348\nAnswer: -431892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111957?\nAnswer: 3, 67, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) -2\/9 (b) 21 (c) 1\/5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 852, 2548, 5400, 9408, 14572, 20892?\n\"Answer: 578*s**2 - 38*s + 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2577, 2317, 1885, 1281, 505, -443?\nAnswer: -1563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 160.75 micrograms in milligrams?\nAnswer: 0.16075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2648*z**5 + 62*z**4 + 26*z**3 + 23667155*z + 2 wrt z?\nAnswer: 52960*z**3 + 744*z**2 + 156*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**2 + 9*t + 5. Let s be l(3). Suppose -10*q - 34 = -s. Let p(k) = -173*k - 9. Is p(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 84953497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 8*o. Let z(v) = -1. Let u(i) = 2*i - 6. Let j be 4\/(-6) - 5\/(-3). Let t(p) = j*u(p) - 6*z(p). What is g(t(y))?\nAnswer: 16*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 10:43 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - (6 + -2 + -3). Solve 0 = -3*b + 2*c + 5, 0*c = 4*b - o*c - 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/22*(-403)\/93*21\/(-91)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (3 + 0 - (10 + -11))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -129*o**2 + 1288*o + 24. Give w(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7944, 8044, 8136, 8226, 8320, 8424?\n\"Answer: y**3 - 10*y**2 + 123*y + 7830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 - 3074*b**2 - 6142*b - 3070.\nAnswer: -2*(b + 1)**2*(b + 1535)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*s = -77, -s - 85 = -d - 3. Let c be (1\/(-3))\/((-9)\/d). Solve 0 = 5*w - c + 28 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -64d?\nAnswer: -652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b**4 + 6*b**4 - 6*b**4)*(-699 + 306 - 2321) as u*b**2 + j*b**4 + g + q*b**3 + m*b and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 23. Let g = 11 - i. Factor -2*t**2 + t + 3*t**3 - 7*t**2 + g*t**2 + 2*t.\nAnswer: 3*t*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s*s**28)\/s)\/s**30*s**(-13\/4)*s**(-2\/5))**(-23\/2) assuming s is positive.\nAnswer: s**(2139\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 44*b**3 - 62972*b**2 - 12511656*b + 2276928 = 0.\nAnswer: -177, 2\/11, 1608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, m: 6}. Give prob of sequence kmmk.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-12 - (4 - 7))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -4264?\nAnswer: -4264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 458.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + -6*(0 + sqrt(99)) + -2)**2*-6 + 1.\nAnswer: -14873 - 360*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8 - 1596\/(-190))\/((-4)\/(-190)). Solve -139 = l*r - 253 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 l when two letters picked without replacement from llnnlllnlllllvnnl?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1316872 is divided by 1395?\nAnswer: 1387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*k + 5653836 = 5*i, -2*i - 5*k + 5653840 = 0. Let m = 3965892 - i. Let a = 1738982 - m. Round a to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*q**3 - 181 + 359 + 64*q**3 - 178 - 33*q**3.\nAnswer: -86*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11662 and 8635662?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of s**6\/30 + 16*s**5\/15 + 5*s**4\/2 - 31*s**2 - 58. Let u(v) be the second derivative of z(v). What is w in u(w) = 0?\nAnswer: -15, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - r, -3*r + 15 = 5*q. Let l = 1 + 5. Let f(j) = -j**3 + 5*j**2 + 6*j + 6. Let p be f(l). Solve u - p = -2*c, c + 3*c = q*u + 22 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 2.972.\nAnswer: -8.916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 101.8 to the nearest integer.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2519 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*i**3 - 304871*i**2 + 3388867?\nAnswer: 6*i**2 - 609742*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-30))\/((-4)\/12)*2\/11.\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - -11006671928416.\nAnswer: 11006671928416.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of 31*v**6\/30 + v**5\/30 + 15*v**4\/8 - 2*v**2 + 82*v. What is the third derivative of z(w) wrt w?\nAnswer: 744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 2*y**2 + 18*y - 15. Let d be g(5). Suppose -2 = -7*t + 4*t - 4*s, d = -4*t + 2*s + 10. Does t = 0.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -9*u**3 - 19*u**2 + 18*u + 30. Let g(r) = -2*r**3 + r + 1. Let s(b) = 4*g(b) - w(b). Is 12 a factor of s(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 275*g**4 - 12*g**3 - 12*g**2 + 552*g - 6. Let p(q) = 2*q**3 + 2*q**2 + 1. Let b(v) = -a(v) - 6*p(v). Find the second derivative of b(m) wrt m.\nAnswer: -3300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 648532 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -976 divided by -488.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066189337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/15162 and -47\/1026?\nAnswer: 136458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 3*t**2 - t + 4. Let k be j(-3). Suppose -i + k + 1 = 0. Calculate the lowest common multiple of i and 14\/10 + 2\/(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 p when two letters picked without replacement from vvcmppvv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15906 is divided by 97?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 7633641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(91)\/(sqrt(7)*2).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 81849 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -83846934 divided by -4691\nAnswer: 17874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -13. Let g(i) = -i**3 + 69 + 10*i**2 + i**2 - 57 - 13*i. Is g(a) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 10*u - 50. Suppose 0 = 143*d - 139*d - 56. Let z be f(d). Is z greater than or equal to -0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**2 - 48*a + 44. Calculate n(-26).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 19*a**2 + 2*a - 3. Let o be 4\/3 + (-2)\/(-3). Let d be g(o). Suppose -72 = 8*p, -26 = 4*j - p - 123. Calculate the highest common factor of d and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -2983ab0?\nAnswer: -2983ab3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 28822200.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 3*l, 2*q + 10 = -5*l. Sort -2, -1\/9, q in decreasing order.\nAnswer: -1\/9, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 5*z**2 + 2*z + 4. Suppose -3*y = -d - 13, 2*y - 3 = d + 6. Determine k(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d + 777*d**2 + 3*d - 8*d.\nAnswer: 777*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 102*f**2. Suppose 3*y - 4*i - 612 = 0, -y + 2*i = -210 + 4. Let a(x) = 103*x - y*x + 99*x. Give t(a(v)).\nAnswer: 408*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -1803 - 177. Suppose -o + 4*y = -198, -5*o + t = -6*y + 4*y. Calculate the highest common factor of 22 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 1:20 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 74*k**3 + 19*k**2 + 11. Let g(m) = -73*m**3 - 18*m**2 - 9. Let n(o) = -6*g(o) - 5*j(o). Find the third derivative of n(z) wrt z.\nAnswer: 408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 113800961?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2245696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 151913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 76*q**2 - 10600 - 2*q + 10600 to the form t + j*q + k*q**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12*(-44024)\/(-240) - (-8)\/10. Is i >= 2202?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.801? (a) 4 (b) -1\/22 (c) -106\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8695972 divided by -64?\nAnswer: 2173993\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 2. Let w be 1\/((-4)\/14 + (-50)\/(-126)). Suppose -7*f + w = -6*f. Calculate the least common multiple of f and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 75, 176, 309, 486, 719, 1020?\n\"Answer: 2*c**3 + 4*c**2 + 75*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2856 - 2856. Let l(x) be the second derivative of s*x**3 - 4*x + 0*x**4 - 1\/2*x**2 - 7\/10*x**5 + 0. What is the first derivative of l(h) wrt h?\nAnswer: -42*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6945 divided by 941\nAnswer: 6945\/941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 323717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.171 - -0.029. Let o = -20.12 + 20. Let h = o + 0.52. What is the nearest to b in -2, -3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 19963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, 106, 250, 414, 598?\nAnswer: 802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 237 (base 9) to base 6\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 13\/12 of a day?\nAnswer: 93600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 54*u**2 - 317*u - 1. Give f(3).\nAnswer: -466","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 3*s + 4*s)*(-2*s**2 + 1 - 1) + s**3 - 2*s + 3 + 34*s**2 + 24*s**2 - 61*s**2.\nAnswer: 3*s**3 - 3*s**2 - 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2883277920 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -835*k**2 - 25912*k + 25912*k + 835*k**2 - k**3 + 5*k**3.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((3 - 3) + 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((68\/(-12))\/(-17))\/((-11)\/(-6))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 126098, 126090, 126080, 126068?\n\"Answer: -a**2 - 5*a + 126104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*b - 12*b + 44521 = 164761. List the prime factors of b.\nAnswer: 2, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + (-9 + 4 - -5 - (31 + -21))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 22, -2, 0, 5 in descending order.\nAnswer: 22, 5, 2\/5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -108\/1027?\nAnswer: -108\/1027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*r = -23*r + 3*y - 8, 25*r + 13 = 4*y - 20 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xqa when three letters picked without replacement from {q: 7, a: 11, x: 1}.\nAnswer: 77\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3889603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 8*z - 3. Let u be w(7). Let i = u + 5. Let t(d) be the second derivative of d**5\/20 + 5*d**4\/12 - 2*d**3\/3 + d**2\/2 - 7*d + 29. Give t(i).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eemm when four letters picked without replacement from mtmeetem.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9690 divided by 17.\nAnswer: -570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 91+-4\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(95) - -6*sqrt(95)*-1 - sqrt(95))\/sqrt(5) + -4 + 3*(1*sqrt(19) + sqrt(19)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010011000001010 + 1110010011000?\nAnswer: -1000100101110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/61*(-2)\/(-68). Let m(s) = 5504*s + 27521. Let i be m(-5). Is i at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -647083\/272 and -2378 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - -13. Suppose -3*r - m + x = -5*m, -4*r = 2*m - 12. Solve -n = -r*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - (-18 - (-74)\/(-12))) + -8\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 150*i**3 - 41*i**3 + 2*i**2 + 215*i**3 to the form v*i + p + k*i**3 + l*i**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 18) + -3 + 11 + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -19 - ((-6 - -2) + 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2404737?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53\/5 of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**3 + 17*f**2 - 11*f - 7. Let t be w(8). Let v = t - -34. Suppose -v*y = -5*y + 446. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246 = -3*v + 2*d, -d + 0*d + 171 = 2*v. Let q = 65 + v. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in hours?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -290436.0509 to the nearest 10000.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -113 - -66. Let w = 45 + z. Let r(s) = 15*s**2 + 2*s - 4. List the prime factors of r(w).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c + 10*c + 2*c)*(-3 + 3 + 1) + 8*c + c + 0*c + 0*c - 6*c + 2*c + (-c - 2*c + 2*c)*(-6 + 3 + 4) + 2 - 2*c - 2 in the form w*c + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j - j**3 + j**3 - j**3)*(-j**2 + j - 5*j + 5*j).\nAnswer: j**5 - j**4 + 4*j**3 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 i, and 1 b when three letters picked without replacement from {i: 7, b: 1, g: 3, q: 3}?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -f**8\/56 + 19*f**5\/60 - 5*f**2. Find the third derivative of v(z) wrt z.\nAnswer: -360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 12*s + 5. Let f be k(6). Let z = 46 - f. Find the common denominator of ((-1095)\/72)\/z + -2 and -14\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.58 rounded to 1 decimal place?\nAnswer: -28.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20930\/(-22540)*(1 - (-34)\/(-26)). Which is the nearest to h? (a) 0.06 (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (7 - (-3 - (-9 - -4))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -30322?\nAnswer: 30314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-438)\/(-27) + (-2)\/9. Let l be 5\/(105\/6) - 1118\/(-7). What is the greatest common divisor of l and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 46*r - 84. Suppose -5*v + 3*h - 208 = 0, -13*v + 15*v + 100 = -3*h. Let y be t(v). Solve -a - y*a = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-395)\/711 + 514\/18.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(12\/39) - (0 - -3). What is the greatest common factor of p and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 219.8886 decades to years.\nAnswer: 2198.886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*h + 7. Let r(s) = 589*s + 4714. Let z be r(-8). Which is the nearest to -0.1? (a) h (b) z (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3466 * -0.052.\nAnswer: 180.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 117 - 22 = 0. Is 10 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -14) + (-2 - -1) - 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/168 and -14\/215.\nAnswer: 36120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 0 + -95 + 80?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 14849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 620 - 620.5. What is the closest to 0.1 in -1\/6, 0, 0.4, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 194, 285, 374, 461, 546, 629?\nAnswer: 710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8977.79 and -0.06.\nAnswer: -538.6674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 464228 in increasing order.\nAnswer: -5, -2, 464228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1077294.\nAnswer: 2, 3, 179549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62036.\nAnswer: 2, 13, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45.334 + 0.534. Let m = b - -44.80000532. Round m to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22595 and 295.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from niinziznnizn. Give prob of sequence inzz.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of 31*n**6\/120 + n**5\/20 + n**4\/3 + 49*n**3\/6 + 455*n**2. What is the second derivative of s(y) wrt y?\nAnswer: 186*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1540\/(-13475))\/(708\/(-210))\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/7610382 and 23\/207792.\nAnswer: 60883056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -5*i**3 + i**2 + 5*i - 3. Let b(r) be the second derivative of -r**5\/5 + 2*r**3\/3 - r**2 + r - 57. Give 3*b(m) - 2*l(m).\nAnswer: -2*m**3 - 2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -18. Let g(u) = -u**3 + 3*u**2 + 8*u + 11. Let i be g(5). What is the greatest common divisor of x and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31169960 and 62339920?\nAnswer: 62339920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-231*z - 22*z**2 + 231*z)*(-2 + 4 + 0).\nAnswer: -44*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4343154249?\nAnswer: 3, 7, 29545267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/5 - -6) + (297\/12)\/(-11)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50101800 divided by 23858?\nAnswer: -2100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 - 2*b + (0 + 4 - 6)*(-2*b + 0 + 0))*(3*b**4 + 1 - 1).\nAnswer: 6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(2 + 6 + -7). What is the units digit of ((-21)\/1 + 3)\/(j\/(-159))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10680, -21363, -32046?\nAnswer: -42729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(27*32\/(-216))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + 10 + -24 - 14\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 99 - -9. Suppose 2*p - 7 = 11. Suppose -w + 5*j + 27 = 0, 0*j = -2*w - 5*j + p. What is the greatest common factor of s and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309250 is divided by 172.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10*(-8)\/160*8. Let t(z) = -z**2 - 6*z - 5. Let x be t(-2). Let g(u) = -2*u**3 + 4*u - 7. Let s(c) = -2*c**3 + 3*c - 6. What is b*s(j) + x*g(j)?\nAnswer: 2*j**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -22*a + 105. Suppose 0 = 5*b - 2*b. Let l be 14 - b*(-3)\/9. What is the highest common factor of a and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m + 18. Let g be k(-4). Let p be -2*(-5 - (-51)\/g). Which is smaller: p or -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111238 to the power of 1\/2, to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = s - 5. Calculate the remainder when 26 is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {s: 3, x: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 6*y + r + 926, 0 = 5*y + r - 1162. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133607877 to the power of 1\/2, to the nearest integer?\nAnswer: 11559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-438)\/(-1)*(-32)\/(-40))\/(96\/64). Suppose -64\/5 - d*z**2 + 126*z**3 + 98\/5*z**4 + 504\/5*z = 0. Calculate z.\nAnswer: -8, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6446, 12886, 19310, 25712, 32086, 38426, 44726, 50980?\nAnswer: 57182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.5 - 2.5. Let n = -2 - x. Which is the biggest value? (a) -1\/6 (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 498341503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*q + 831 = 664 + 2657 for q.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(143) - sqrt(143) - sqrt(143))\/sqrt(11) - (1*sqrt(13) + 2)**2.\nAnswer: -7*sqrt(13) - 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.369326 rounded to 3 dps?\nAnswer: -1.369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + x**2 + 5*x - 5. Let n be c(-5). Suppose 5*r = -n - 350. Calculate the common denominator of -39\/14 and r\/6*(-6)\/40.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548 a factor of 4553082431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -6*p**4 + 2*p**3 + 8*p**2 + 14*p. Let c(n) = 2*n**4 - n**3 - 3*n**2 - 5*n. Let b = 4 - -1. Let m(w) = b*l(w) + 14*c(w). Factor m(i).\nAnswer: -2*i**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 21.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(450)*-5 + sqrt(450))*-5)\/(-5*(sqrt(216) + 4*sqrt(216) + sqrt(6))*4).\nAnswer: 10*sqrt(3)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 16\/5, -4 in increasing order.\nAnswer: -5, -4, 16\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.526242894 rounded to four dps?\nAnswer: 3.5262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 6*m - 6. Determine j(-10).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/127, 1\/2, -2\/179, -470.7 in increasing order.\nAnswer: -470.7, -2\/179, 2\/127, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -15 (b) 1\/3 (c) -0.3 (d) -4 (e) 9 (f) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t - 3*t + 2*t to a + z*t and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 19826695, 19826696, 19826697, 19826698, 19826699, 19826700?\n\"Answer: t + 19826694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xh when two letters picked without replacement from {x: 1, h: 1, m: 1, u: 2, y: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -10*q - 22, -1546*s + 9 = -1549*s - 3*q for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 324 and 6828\/33 + (9\/(-27))\/(44\/(-12)).\nAnswer: 7452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4082028689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 132\/21 - 2\/7. Let u = d + -4. Suppose -4*w - 6*m + u*m = -60, -5*w + 81 = 2*m. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1900 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 62*z + 130*z - 66*z.\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -35529744 divided by -11843248\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {t: 2, u: 4, v: 7}?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9173 is divided by 400?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5234144 + -204?\nAnswer: 5233540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -12*z**5 + 2745*z**4 - 74307*z**3 + 227268*z**2 + 3779556*z + 6011280 = 0.\nAnswer: -4, -2, 55\/4, 23, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 12*g**3 + 4*g**2 + g + 1. Let s(t) = 23*t**3 + 9*t**2 + 2*t + 2. Let p(c) = -9*a(c) + 4*s(c). Let k be p(-1). Let y be -8 + 10 + k\/(-6). Does -2 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k + 22 = -6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -8274 smaller than -8277?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1514 - 135264?\nAnswer: -133450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 8:09 AM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 a when four letters picked without replacement from {a: 4, y: 3}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i*i**(-2\/7)*i)\/i*i**(-5)*(i\/i**(1\/6)*i*i)\/i*i*i*i\/(i*i**(1\/6)*i*i)*i*i)\/(i\/i**(2\/3)*i*i**(-4\/7))**(9\/8) assuming i is positive.\nAnswer: i**(-10\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5484 and 1306450578?\nAnswer: 2742","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 227490154 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**3 - 120*w**3 - 5*w**2 - 22*w**2 + 115*w**3.\nAnswer: -2*w**3 - 27*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 20.132. Let o = z + -0.968. What is the smallest value in 1, -15, o?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 360\/19 + -1118\/57. Let r = -8.96 - -9. Let s = r - 1.04. Which is the nearest to 1\/3? (a) 4 (b) s (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70081.32 millennia to years.\nAnswer: 70081320","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/7)\/((-61)\/((-18361)\/(-774)))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -201 + -10256643?\nAnswer: -10260144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**4\/3 - 362*m**3\/3 + 368*m**2 - 8*m\/3 - 1472\/3 = 0.\nAnswer: -184, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96080 = 281*m + 400*m + 33428 for m.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 10*d - 10. Suppose 3*v = 5*o + 8*v + 55, -5*o + v - 43 = 0. Let y be s(o). Is y at least 2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 20*m**2 - 21*m - 24. Let p be o(-19). Which is smaller: 16 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/5)\/(1744\/(-545))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (-18)\/3*1\/1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.32276 rounded to two dps?\nAnswer: 1.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -632843*j**5 + j**3 + 3560085*j**2 - 7*j.\nAnswer: -37970580*j**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 569, -0.356, -190?\nAnswer: -190","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a microgram in nanograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**5 + 420*m**4 - 7200*m**3 - 155520*m**2 + 2799360*m + 33592320.\nAnswer: -5*(m - 36)**3*(m + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96186 divided by -6.\nAnswer: -16031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (43 + -62 - -17) + (6 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/7 at least -43186?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 392.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 7:49 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -122810 divided by -24562\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -34, 0.7, 2, -78, 5, 0.1?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*f + 95*f + 115*f + (f - 4*f + 2*f)*(-3 - 2 + 6) + 3 - 2*f - 3 + (-2*f + 3 - 3)*(-1 + 0 + 2))*(-f**2 + 3*f**2 - f**2).\nAnswer: 212*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 6*s**2 + 3*s. Let z be (-1 + 4)*1 + -2 + -2. Let x(w) = w**2 + w. Let b(y) = z*g(y) + 3*x(y). Let q(p) = -3*p**2. Give b(q(u)).\nAnswer: -27*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 99207 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1147 - 995. What is the lowest common multiple of f and 4?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 58*y - 350 = 0, -39*y = q - 3*y - 34*y + 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*n + 3*i, -5*n + 23 = -i - 3*i. Let t(y) = 3*y + 0*y - y. Let f be t(1). Which is greater: f or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -453412 (base 7) to base 11.\nAnswer: -55502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.878 to one decimal place.\nAnswer: -27.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*w - 100 + 397. Is w bigger than 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63 + 54. Let z be (2\/(-14) + 0)*(-54)\/w. Let x = z + 4\/21. What is the closest to x in 4\/3, 0, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -19229797\nAnswer: -19229779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence btt when three letters picked without replacement from {t: 7, b: 3}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -345\/2 + 169. Put t, 2\/3, 1 in decreasing order.\nAnswer: 1, 2\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2847 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 5996777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54551842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -9*s. Let q be v(-1). Let k = q - -70. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -3*m**5 - 879*m**4\/2 - 16614*m**3 - 36288*m**2 + 93312*m = 0?\nAnswer: -72, -4, 0, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 24*w + 49. Let m be p(22). Solve -3*a = m*q + 13, 0 = 2*q + 2*a - 0 + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1574879\/(-92))\/(2 + 36\/(-16)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of h**5\/12 + 5*h**4\/2 + 80*h**3\/3 + 336*h**2 + 2*h. Factor d(m).\nAnswer: 5*(m + 4)*(m + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13000 - -23?\nAnswer: -12311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -5*w**3\/6 - w**2\/2 - 2*w. Let q be h(-1). Sort -2, 0, q.\nAnswer: -2, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10963155, -21926303, -32889451, -43852599, -54815747?\n\"Answer: -10963148*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -629.757017 to one dp.\nAnswer: -629.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -29*v - 12. Let c(l) = -30*l - 16. Let g(q) = 3*c(q) - 4*n(q). Let b(d) = -2*d. Give b(g(f)).\nAnswer: -52*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 0 + -1 - (12 + (56 - 32) + 48).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62102\/19 or -3270?\nAnswer: -3270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a year in months?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-2))\/(1\/(-12)). Let j(g) = 0 + 3 - 6 + 6 + 9*g. Let q be j(5). Calculate the highest common factor of q and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9 + -5)\/((-6)\/60). Find the common denominator of h\/8 - (-1)\/(66\/60) and -25\/99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.34183 and -0.059?\nAnswer: -0.02016797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5297044237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h**7\/h))\/h)\/(h**(2\/15)\/h))**31 assuming h is positive.\nAnswer: h**(-2387\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (220\/(-231))\/((-4)\/14).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 466, -1560, -3590, -5624?\n\"Answer: -2*z**2 - 2020*z + 2488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**6\/(g*g*g**7)*(g\/(g*g*g\/g**(-2\/15)))\/(g*g**0))**(-40\/3) assuming g is positive.\nAnswer: g**(736\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/168*-49 - (-4)\/(-6). Let u(y) be the second derivative of 0 + 1\/72*y**f - 1\/12*y**2 - 4*y + 1\/12*y**3 - 1\/40*y**5. Let u(p) = 0. Calculate p.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9614389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -815, -2091, -4205, -7157, -10947, -15575, -21041?\nAnswer: -27345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -378, -1526, -3440, -6120, -9566, -13778?\n\"Answer: -383*t**2 + t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7206 - -7208. Factor 8\/7*x**b + 8\/7*x - 2\/7*x**4 + 0 - 2\/7*x**3.\nAnswer: -2*x*(x - 2)*(x + 1)*(x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -5 + 5 - 101*q**3 + 2*q + 3*q**2 + 102*q**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 816148699.\nAnswer: 17, 48008747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1*sqrt(2548) - sqrt(2548))**2 - (-4*(sqrt(52) + (1 + sqrt(52) - sqrt(52)) - sqrt(52)) + -2).\nAnswer: 10198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 - 28. What is the second biggest value in -2\/13, o, 1\/4, -5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15707532*k + 15269658 wrt k.\nAnswer: -15707532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**2 - 2 + p**3 + 1 - 3*p**2 + 0*p**4 + 2*p**4 as g*p**4 + n*p + x*p**3 + j + z*p**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4906 and 26983.\nAnswer: 53966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13a3 + b6?\nAnswer: -12cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + 0.1. Suppose -365*n = -370*n - 5. Which is the fourth biggest value? (a) 9 (b) n (c) -3 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -2\/11, 1.35, 6\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 43*f + 7. Suppose 3*b = 3*z - 7*z + 20, 0 = -b + 4*z - 4. Suppose -b*c = -14 + 10. What is the tens digit of v(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 4*q - 12. Suppose -3*a + q*j + 793 = 2*a, 783 = 5*a + j. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 577 + -550. Suppose 62*s = 65*s - h. Solve -v - 6 = -2*f, 0*v - 3*f = v - s for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 188, 192, 200, 212, 228, 248, 272?\n\"Answer: 2*g**2 - 2*g + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -10*b - 1. Let r(k) = 1. Determine -p(x) - 3*r(x).\nAnswer: 10*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3318434597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5196.954 rounded to the nearest 10?\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-12)*372\/(-155)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -388*h - 4*b - 12 = -391*h, 5*h + b = -3. Let j = 27 + 6. Solve 7*l + 4*l + j = h for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 3\/4 (c) 2\/3 (d) -83 (e) 5 (f) 3.82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/13, 466.37, -2\/9, -4\/5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1715 + 6892?\nAnswer: 8607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4954*y**3 + 3*y**2 - 9*y - 96 wrt y.\nAnswer: -29724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7\/38, 4, 1, 2, -39.15?\nAnswer: -7\/38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 4. Suppose -4*q - 20 = 4*r, c*q + 2*q + 13 = r. Let f(a) be the first derivative of a**3\/3 + 2*a**2 - 6*a + 2. Give f(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -293.947 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000069757 to 7 decimal places.\nAnswer: -0.0000698","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 742285 and 5960.\nAnswer: 748245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/5)*o*o)\/(o*o\/o**1))\/(o*(o\/((o*o**6\/o)\/o*o))\/o*o**(2\/3)*o) assuming o is positive.\nAnswer: o**(68\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -14832.6 (b) 2 (c) 0.44 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-3))\/(2\/6). Suppose -w = -t, 4*t - 14 - 16 = -2*w. Let p = w + j. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 8 - 35 - h + 13 + 11 - 2*h. What is g(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254593342 a multiple of 446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*j = z - 37*j - 4, 3*z - 2*j = -28 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10011 (base 2) to base 5\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**3 - 5*k**2 - 6. Let y(r) = 2*r**3 + 4*r**2 + 6. Suppose 0 = 27*v - 125 - 16 + 6. Determine v*y(h) + 4*t(h).\nAnswer: 2*h**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/45693 and -65\/456.\nAnswer: 6945336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33013326*h*r - 38729113*h wrt r.\nAnswer: 33013326*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 2*t + 5*n, -3*n + 8 - 3 = -3*t + 5*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -108*t**2 - 39*t + 7724 wrt t.\nAnswer: -216*t - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 31 - ((-3 - -11) + -4). Let q = o - 22. Solve -17 + q = 3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 7:32 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 515326 or 515323?\nAnswer: 515326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 7*s**2 + 2*s + 1. Let x be f(-1). Suppose -15 = -3*t + 141. Suppose -2*z + t = 2*z. Solve 3*c = -i - c + z, 3*c = x for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2\/4 + 15*d\/4.\nAnswer: -3*d*(d - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73021086?\nAnswer: 2, 3, 17, 71, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 0.9, 26, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 60*c - 58*c - 6, -3*k = -3*c - 72. Let d be (-3 - -3)*(-2 - -1). Let p = 9 - 6. What is the smallest value in k, p, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 129 - 128.17. Let r = g - 0.82. Sort r, 1, 1\/2 in increasing order.\nAnswer: r, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26030a (base 14) to base 9.\nAnswer: 2411455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1395, 7055, 16489, 29697, 46679, 67435, 91965?\n\"Answer: 1887*h**2 - h - 491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*v**3 - 2184*v**2 + 1083*v - 135 = 0 for v.\nAnswer: 1\/4, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9968.395t to milligrams.\nAnswer: 9968395000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.1 (b) -1.038 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.1, -0.5, -7.4, 2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -82825.4*0.916\nAnswer: -75868.0664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owoooovoy. What is prob of picking 1 y and 1 w?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**2 - q - 18. Calculate c(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, -0.03, 5, -6, -5, -0.24?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 take away -120794274?\nAnswer: 120794175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -128536120 rounded to the nearest 1000000?\nAnswer: -129000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 3*i - 13, 2 + 3 = 4*p + i. Let t be (1 + -6)\/(-3 + p). Let x(l) = 3*l - 7. What is the units digit of x(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) -16 (b) 3 (c) -3\/7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 6, -475, 3, -3, -2 in decreasing order.\nAnswer: 6, 3, 0, -1, -2, -3, -475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 377646214?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4382*i - 5 + 5 - 721*i.\nAnswer: 3661*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4848133*k + 3847331 wrt k?\nAnswer: 4848133","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/4)\/(73\/(-146)). Let r be (209 - (4 + i)) + 5. Is r at least as big as 210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9097 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -350316 by 29193.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*m**2 - 1984\/7*m + 492032\/7.\nAnswer: 2*(m - 496)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001010010011100100100 + 111101?\nAnswer: 1001010010011101100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 331884 and 142236.\nAnswer: 995652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*t + 28*t - 4 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 258400 and 120.\nAnswer: 775200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4966232332?\nAnswer: 2, 683, 1817801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 107*g - 2819. Determine r(50).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(-10))**(1\/40) assuming h is positive.\nAnswer: h**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 2)*(2*i - 6*i - 16*i) to o + x*i and give x.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -943*n + 479*n + 36*n**3 + 462*n - 18*n**2 to the form g*n + c*n**3 + z*n**2 + t and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.1 - 0.1. Let d = -6 + 10. Let n = d + -3.7. Which is the second biggest value? (a) p (b) 3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/411684 and 67\/1053?\nAnswer: 11115468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 15 = 5*m, -5*y - 50*m + 46*m = -41 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 520\/(-286) + 11 - (-9)\/(-1). What is the fourth smallest value in 5.6, 4, -0.03, s?\nAnswer: 5.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**3 + 10*v**2 - 3*v + 8. Let s be y(3). Let x(p) = -12 + 13*p - 47*p + s*p. Give x(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + (-503)\/(-407) + 4\/(-22). Sort t, -1, 4 in ascending order.\nAnswer: -1, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 28176.87 days?\nAnswer: 2434481568000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 99*l**2 - 44*l - 176. Let d(q) = -2*q**2 + q + 4. Let o(a) = 44*d(a) + f(a). Let k(j) = -15*j**2. Determine k(o(w)).\nAnswer: -1815*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 70300990?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -66, 41, 6 in decreasing order.\nAnswer: 41, 6, 5, 2, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*d - 38 = 0, l - 5*d = 2 + 5. Suppose 0 = y - 0*y - l. Is 4 a factor of 4\/2 + y\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -4, 79 in increasing order.\nAnswer: -5, -4, 3, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 2, x: 9}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1120211001 - 1?\nAnswer: 1120211000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(2\/3)\/i*i)\/i)\/i**(1\/3))**44*(i**(2\/9))**50\/(i**(-1))**(-4\/23) assuming i is positive.\nAnswer: i**(-3808\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 q when four letters picked without replacement from xqqxqxxqxcx?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -32549, 0.1, 3, -1?\nAnswer: -32549","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {r: 3, l: 6, w: 5, n: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 6:04 PM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3567002*v**3*y**2 - 9279317*y**2 wrt v.\nAnswer: 10701006*v**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*x + 7. Let p(h) = h**3 + 8*h**2 - 4*h - 17. Let m be p(-7). Suppose 153*k - 151*k = m. Calculate the remainder when k is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111202 (base 3) to base 2.\nAnswer: 10001001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h + 7. Does 6 divide n(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11776 to the power of 1\/2, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 432.7 + -767.6. Round m to the nearest integer.\nAnswer: -335","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5*2\/(-2) - -2. Let b = o + -2. Suppose -b*v - 4*j + 34 = 0, -4*v + 60 = -j - 4*j. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5*c. Let h(v) = -3*v - 3. Let a be h(-2). Suppose 3*u + 0 = -a*i + 6, 3*u - 3*i = -12. Give z(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 3*a. Let z be k(0). Suppose z = -4*d - 5*m + 16, 2*d + 3 - 11 = 4*m. Solve 0 = h - 0*h + d for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 238597.1mg?\nAnswer: 238597100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.05 + -5. Let u = 0.015 - r. What is u rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - 59*(-5 + 4). Factor 10*y**2 + s*y + 720 + y - 5*y**2 + 59*y.\nAnswer: 5*(y + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/286? (a) 76 (b) -2\/3 (c) 9\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Sort -352, -19, -2 in decreasing order.\nAnswer: -2, -19, -352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*o**2 + 22*o**2 + 43*o**2 - 36*o**2 + 41*o**2.\nAnswer: 100*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -372 - 1?\nAnswer: -373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 116608 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 1875*j**4 + 388425*j**3 - 327888*j**2 - 59916*j - 2496 = 0.\nAnswer: -208, -2\/25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by 36.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -44 - 1?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -4\/5, 25, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8 + 19)\/(-462))\/(10*(-2)\/(-180))?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6762 = 8*b - 7966. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) 2754 (c) -1\/5 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 1036 + -1036.4. What is the third biggest value in -0.9, 8, s?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (3 - 0)) + (0 - -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 17329095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*o**3 - 9*o - 158*o**3 - 2*o + 929*o**3 - 11*o**3.\nAnswer: 663*o**3 - 11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 644.51\nAnswer: 64.451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - p - 10. Suppose 4*m = -9 + 37. Let y = 7 - m. Determine l(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 44*r + 14. Let c(z) = -198*z - 55. Determine -5*c(w) - 22*m(w).\nAnswer: 22*w - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 9 - 6)*(-36 + 11*x**4 + 36).\nAnswer: -220*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -47? (a) 18 (b) -18243 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -684, -678, -668, -654?\nAnswer: -636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 56\/309?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2*1759\nAnswer: -3518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 1 + 18 = -5*d, 4*f = 3*d + 21. Suppose 10*h - f*h = 8. Calculate the smallest common multiple of 35 and h.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v + 3*v - v)*(544500 + 6*v**3 - 544507 - 5*v + 7*v) in the form a*v**3 + n + c*v + u*v**2 + p*v**4 and give c.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*z**2 + 48*z**4 + 31*z**2 + z**3 + z**2 + 57*z**4 - 14*z**2 wrt z.\nAnswer: 2520*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3944 and 15283?\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1134*93\/(-8370)*2*1\/(-7)\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 2*a + a)*(1420*a**3 + 1408*a**3 + 1083*a**3 - 784*a**3).\nAnswer: 6254*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 0.46.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + q - 26 = 4*i, 3*i = -3*q - 6. Suppose q*k = -3*k + 145. Does 14 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**3 + 7*q - 12*q + 0*q**3 + 3 to the form b*q**2 + k*q + v*q**3 + i and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 6*h + 9. Let v be u(7). Let l(n) = 223 + n - 3*n - v*n + 5*n. Is l(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (5 + sqrt(343)*1 + sqrt(343) + (sqrt(343) - (sqrt(343) - (-1 + sqrt(343)*-5))))*5*-3)**2.\nAnswer: -34650*sqrt(7) + 697600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -821, -1668, -2517, -3368, -4221, -5076, -5933?\nAnswer: -6792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2896.0010654 + 2896. What is y rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + 75. Suppose 0 = -52*z + k*z + 3281. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p = 3*n - 39, 5*n = 100*p - 101*p - 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -8*p + 4. Let v(l) be the first derivative of l - 131. What is k(x) - 5*v(x)?\nAnswer: -8*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1009859 less than 7405?\nAnswer: -1002454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-3) + -78 + 0. Let i = -57 - g. Let c be 25000\/(-3)*(i + 1). Round c to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 6 - 9)*(-8 - 3 + 14)*(4 - 4 + t) to x*t + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 111766?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1356.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v + 21. Let t(o) = -o - 10. Determine -5*t(d) - 2*u(d).\nAnswer: -d + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 78, -11, 2, 4, -121 in descending order.\nAnswer: 78, 4, 2, -2, -3, -11, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57396\/(-33481))\/(5\/((-140)\/6)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t**2 - 11*t + 8. Calculate x(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 - 6. Let a(w) = -w**2 + 314*w - 13533. Let v be a(53). What is the greatest common divisor of v and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(5\/4)\/(d\/(d\/(d*d*d**(2\/27)))))\/((d*((d\/d**(1\/4))\/d*d)\/d)\/((((d\/((d\/d**(4\/5))\/d))\/d)\/d)\/d)) assuming d is positive.\nAnswer: d**(-749\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1216) + -1)**2 - (sqrt(19)*1*-3 + -2).\nAnswer: -13*sqrt(19) + 1219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence txt when three letters picked without replacement from {x: 8, t: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 3133248?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**6*n*(n*(n*n*(n**(-3\/10)\/n*n)\/n*n)\/n)\/n)**(-25) assuming n is positive.\nAnswer: n**(-385\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d2 - 4?\nAnswer: -d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -6080 - 3223. What are the prime factors of b?\nAnswer: 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4322*(3 + -10*(-7)\/28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113 divided by 24\nAnswer: 113\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/1455984 and -95\/6.\nAnswer: 1455984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 8*v**2 - 4*v - 13. Let r = 20 - 13. Let d be y(r). What is the highest common factor of d and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 93 + 2. Let w = 277\/22 - 25\/2. Find the common denominator of (-3 - n\/(-4))*26 and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(117)*2 + (sqrt(117) - (sqrt(117) + (sqrt(117) - ((2*sqrt(117) - sqrt(117)) + sqrt(117))*4))))\/(-2*sqrt(9)*-1*-2))**2.\nAnswer: 1053\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 5:55 PM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-2)*40\/(-120)*4*(-15)\/(-8)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k - 10. Let y(r) = -r + 9. Let o = 601 - 599. Determine o*c(h) + 3*y(h).\nAnswer: h + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.3, -6511, 0.5, -0.2, 1\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 6 = -2*c. Let t(d) = d**2 - 7*d. Let h be t(6). Let b = c - h. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2864 divided by -228?\nAnswer: -716\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1043451396 to the nearest integer?\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -49.6 (c) -0.3 (d) -3764\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-221)\/(-68)*(-6)\/(-13))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, 1285, 5290, 13309, 26680, 46741?\nAnswer: 74830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwguguwuwguwuuwttt. Give prob of sequence ugt.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -6*v + 5. Let z(i) be the first derivative of -i**2\/2 + i + 10. Let d(p) = s(p) - 5*z(p). Let o(q) = -21*q. Calculate o(d(b)).\nAnswer: 21*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 411*q - 4775. What are the prime factors of l(75)?\nAnswer: 2, 5, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2981.000001223 - 2981. What is p rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*f + 5*f**3 - 174*f + 17 - 6*f**3.\nAnswer: -f**3 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6538 - 6539. Which is the nearest to 0.2? (a) 0.2 (b) 8\/7 (c) -2 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = m - 0*m - 33. Sort 8, m, 26.\nAnswer: m, 8, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 312793533 to the nearest integer?\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 100, 0.02, 0.2, 0.4, 1, -1 in decreasing order.\nAnswer: 100, 1, 0.4, 0.2, 0.02, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 947874487 and 3214?\nAnswer: 1607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1591524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 a when four letters picked without replacement from aaaaalllalalaaaalaa?\nAnswer: 195\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 879, 1771, 2677, 3603, 4555?\nAnswer: 5539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -38143*k**4 + 93905?\nAnswer: -152572*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*o - 219*o**4 - 2338*o**3 + 128*o**4 - 140*o**4 + 2340*o**3 - 8166 wrt o?\nAnswer: -924*o**3 + 6*o**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 4*d + 6 - 104, 0 = -5*r - 2*d - 185. Let q be (-6)\/16*130\/r. Let l = q + -3\/2. Is l greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 10 and 440595 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cqqbqcteq. What is prob of picking 1 t and 2 q?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 12, t: 1}?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 219105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/202950 and -65\/8118.\nAnswer: 202950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42629 and 235.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.2 - 2. What is the closest to -0.1 in q, 4, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 16*g**2. Let a(o) = 146122*o. What is f(a(t))?\nAnswer: 341626222144*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65216 (base 8) to base 13.\nAnswer: c554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1331) + 2 - (-3 + sqrt(1331) + sqrt(1331) + -1) - (sqrt(121)*1*4)\/(sqrt(33)\/sqrt(27)))*-1)**2.\nAnswer: -276*sqrt(11) + 5855","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 147685 + -545105343\/3691. Is l <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 57128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -341*n = -344*n + 16*i - 94*i - 2025, -4*n - 5*i - 129 = -3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -u**5\/120 - 5*u**4\/12 + 13*u**3\/3 - u**2 - 39*u. Let a(h) be the second derivative of x(h). Determine a(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1064 + -8500. Is 11 a factor of ((-3)\/(-4))\/(((-39)\/n)\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5792 and 181.\nAnswer: 5792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 0.09098.\nAnswer: -0.27294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 53 = -2*u, -259 = -11*u - 5*f - 333 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 373.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2048 divided by -434?\nAnswer: 1024\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, 98, -1.\nAnswer: -89, -1, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100100111000100 (base 2) in base 13?\nAnswer: -41456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-1))\/(6*9\/126)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 19 = -61. Let s = 14 - b. Let q(r) = r**2 + 7*r + 9. Let o be q(s). What is the nearest to 0 in 1\/5, 0.1, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 16*z**2 - 12*z - 17. List the prime factors of s(-16).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 1219 - 139 = 0. Suppose c = -2*c + f. Let n be 2\/5 + 86\/10. Calculate the highest common divisor of n and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -219*g**3 + 4*g**2 - 64*g - 69. Calculate t(-1).\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -9*x - 4. Let c(q) = -q - 1. Let d(w) = -4*c(w) + z(w). Let v(b) = 1. Let a(f) = 2*f - 5. Let r(l) = a(l) + 5*v(l). Determine d(r(i)).\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) 4 (c) -1\/7 (d) -1\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 150 + 47 - 5*n**2 + 16*n**2 + n with respect to n.\nAnswer: 22*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -154 (b) 2\/7 (c) 0.4 (d) 42 (e) 1 (f) 0 (g) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 95869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/12*2\/1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -471*b*u*y - 25246*b*y + 2*u wrt u.\nAnswer: -471*b*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 8*n - 52. Let o be s(-21). Let i = 1133 + o. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 2*g + 24, -5*r - 4*g - 5 + 1 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -439*r + 27896 + 29174 = 0. What is the remainder when r is divided by 1477\/77 + (-4)\/22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 divided by -1?\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/s**14*s\/s**(3\/10) assuming s is positive.\nAnswer: s**(-113\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 5, y: 3}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-36)\/17 - ((-24)\/(-34))\/(-6). Put -1, l, 4 in decreasing order.\nAnswer: 4, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45234611 to the power of 1\/3, to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 14*g + 103. Let z be l(-10). Is -40 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 689?\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36746587 divided by 4.\nAnswer: 36746587\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 > 2365971?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -20*p - 142. Determine c(-11).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/76 and (-5 - (-33)\/6)*69.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -226943\/7 or -32420?\nAnswer: -32420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50 - -53. What is the third derivative of -9*f**3 + 25*f**q + 42*f**3 - 13 + 18*f**3 + 2*f**2 wrt f?\nAnswer: 456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*b = 28, -5*b = -2*z - 25 + 58. Suppose -z*i = 10 - 38. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.532 + 0.522. Which is the third biggest value? (a) -0.4 (b) h (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1497 - -1503. Let x = 114 - 54. What is the smallest common multiple of x and j?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from sssllsl.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 383701 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 165506 and 121.\nAnswer: 1820566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 2*l - 70, -4*l = 11*q - 16*q + 120. Let h = 23 - q. Solve 6*x - 5 = h*f + 4*x, -f + 3*x - 11 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 796346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 11:21 PM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**3 + 0*h + 0*h + (-11*h**2 - 10 + 10)*(2*h - 4*h + 0*h) to the form j + m*h + d*h**3 + q*h**2 and give d.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1, 5, 11?\n\"Answer: 6*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 30 - 3. Suppose n*z - 4 = 8*z. Solve -3*p + u + u = -22, 4*u + 4 = -z*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (32 - 32) + 3*(1 + 0). Solve -3*s + 6 = -f*q - 3, -2*s + 8 = -q for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.48 - -1.38. Which is the third smallest value? (a) s (b) 0 (c) 3 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -529 + 88. Let l = c - -451. What is the lowest common multiple of 39 and l?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.17221g to nanograms.\nAnswer: 10172210000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-6))\/(4\/18). Solve 2*k - 7*k - 2 = -n, 4*n + x*k + 15 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + 4*v**3 + 15*v**3 + 65*v**3 + 41*v**3 + (v**2 - v**2 + 2*v**2)*(-3 + v + 3) as u*v + o + t*v**3 + k*v**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 46 - 51 = -i, -4*i + 20 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 + 292 - 292.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4\/109 + 57\/1417. What is the fourth smallest value in -3, 2, l, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 + 27 - (-9 - (3 - 5))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10452767 + 19632?\nAnswer: -10433135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 2*u + 46. Let i(s) = -80*s + 28 + 42*s + u*s + s**2. Calculate the remainder when 109 is divided by i(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by (-175 - -177)\/((-2)\/(-74)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 8:19 PM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 6) to base 7\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 2*q**2 + 206*q - 12. Calculate k(-16).\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**10)*i*i\/i**12*i)\/(i**(-3)\/(i*(i*i\/i**18)\/i)) assuming i is positive.\nAnswer: i**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384 is divided by 65.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(150)\/sqrt(3) - sqrt(50))\/sqrt(10).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**3 + 344*g**2 + 14280*g - 29952 = 0. What is g?\nAnswer: -96, -78, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -573911096795 - -16.9.\nAnswer: -573911096778.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -464\/5*h**2 + 16\/5*h**4 + 0 - 66\/5*h + 514\/5*h**3 = 0?\nAnswer: -33, -1\/8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4400502 - 0.44. What is w rounded to six decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003 a factor of 39438350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1018, -2035, -3050, -4063, -5074, -6083?\nAnswer: -7090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 62002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, u: 3, b: 1, x: 2}. Give prob of sequence ebux.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 71 - 49. Calculate the smallest common multiple of 14 and h.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmt when three letters picked without replacement from {t: 7, m: 12}.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w + 2. Let y(p) be the first derivative of p**3\/3 - 20*p - 33. Let o be y(5). Does 11 divide k(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, -5, 0.017 in increasing order.\nAnswer: -5, 0.017, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1792 is divided by 334?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*k**3 - 216*k**3 - 148*k**3 - 2*k to d*k**3 + y*k + v + n*k**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 13 = -2*r, -29*r - 20 = 4*n - 25*r. Let i(q) = -185*q + 84. List the prime factors of i(n).\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-2*-1*((sqrt(102)*3 - sqrt(102))*-1)\/sqrt(6).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - 3 - 1*-4. Suppose 0 = -v - 2*f + 10, q*f = -v + 3*f - 2. Suppose 0 = v*d - 5 - 3. Solve c + d*c + 10 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 220631?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (3\/11)\/((-30)\/20)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 63, -8 in increasing order.\nAnswer: -8, 1, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -11*l + 4. Let m be o(4). Let c be ((-6)\/(-5))\/((-4)\/m). Is 16 a factor of (-280)\/12*c\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j**2 - 46*j - j**2 + 46*j to the form g + w*j**2 + i*j and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 5*v**2 + 3*v - 1. What is p(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -11*d**4\/6 + 4*d**3\/3 - 75*d**2. Is f(-9) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b + 4*b - b)*(-3 + 3*b + 3) + b**2 + 18*b + 1 - 4*b**2 + b**2 to c*b**2 + d + m*b and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/18*-2*162\/(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28.52 - 28. Round y to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 31827 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from nggegngngeiggeee.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2340 divided by 180?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14201 - 14200. Let w be 4\/10 + (-28)\/(-5). Is ((-81)\/6)\/(5\/w - c) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (120\/(-210))\/((-19)\/(665\/50)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*l + 8. Let r be l\/(((-8)\/6)\/(-2)). Suppose -r*i = -7*i + 340. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (86\/(-387))\/((-2)\/(-6)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10940119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 22*u - 36. Let k be q(24). Suppose 0*i - k = 6*i. Find the common denominator of 83\/90 and (i\/(-12))\/(-3*5\/1245).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*m = 56*m + 106. Calculate the remainder when m is divided by 49.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 874 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24945 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -24. Which is bigger: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10787.9998151 - 10788. What is w rounded to five dps?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1399356.\nAnswer: 2, 3, 7, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, 0.04.\nAnswer: 0.04, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 2:25 PM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20072*b**5 + 12*b - 108?\nAnswer: 401440*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -142712 + 742712. What is m rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c - 1. Let b(n) = 3 + n**3 - n - n + 3*n**2 + n + 2*n. Let r be b(-3). Let y be w(r). Sort -2, y, 0 in ascending order.\nAnswer: -2, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*a = 800410, -y + 4*a - a = -200115. What is y rounded to the nearest 10000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y\/(y**(-2\/9)*y)*y)\/y))**(-34)\/(y**15\/(y\/(y\/(y*y**(-2\/9)\/y)))))**(2\/3) assuming y is positive.\nAnswer: y**(-250\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14343*l*n**4 + 386*l*n**3 + 165*l*n - 323377*l wrt n?\nAnswer: -172116*l*n**2 + 2316*l*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6126*k**4 + 6126*k**4 + 23*k**5 + 11*k**2 wrt k?\nAnswer: 1380*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3412943507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 75 + 330. Suppose h = 3*w + 22. Let o(f) = f**3 + 7*f**2 + 2*f - 7. Let q be o(-6). Solve -4*a = -3*k - q, -5*k + 2*a = w - 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 223\/3 + -75. What is the closest to y in -5, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/2, 0.2, -21?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2054 and 5900?\nAnswer: 6059300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*3\/(27\/141). Suppose -5*p - h = -1439. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 874495, -5, -0.2, -2?\nAnswer: 874495","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 318572 and 292?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 59682*y**3 - 107*y - 2*y**4 - 29849*y**3 - 29859*y**3 in the form z + w*y**4 + o*y + g*y**2 + s*y**3 and give o.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 79 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*c + 48 = 46*c. Let b be (4\/(-1))\/(0 + -1). What is the remainder when c is divided by 12 + 1 + (-3 - (0 - b))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/6)\/(57\/171). What is the fourth biggest value in 3, -5, 17, w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -4. Let i = 6 - l. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*c + 8*c - c**2 - 4*c + (-5*c + 2*c + 0*c)*(-5 + 5 - c).\nAnswer: 2*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1569558 and 9?\nAnswer: 4708674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148662 is divided by 795.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 0*k + 0*k)*(-7 + 0 + 0)*((-4 - 2 + 5)*(1 - 3 + 1) - 2 + 4 - 3 + 1 - 7 + 24).\nAnswer: -126*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 490537 - 3433756\/7. Factor 0*h**2 + 6\/7 + 9\/7*h - k*h**3.\nAnswer: -3*(h - 2)*(h + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -13*m - 4. Let q be f(-8). Suppose 4*y = 4*c - 436, -521 = 4*y + c - q. Let d = -66 - y. Is 20 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 9:40 PM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 0.0177?\nAnswer: 0.9823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of -b**7\/105 - 7*b**4 - 322*b**3\/3 + 488*b**2. What is the derivative of k(l) wrt l?\nAnswer: -8*l**3 - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/53 greater than 172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5*v = 26025, 2*a + 5*v - 17012 + 3947 = 0. Are a and 0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 10:47 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 588864 to the power of 1\/2, to the nearest integer?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 6*u - 5 + 6*u - 11 - 10. What is the hundreds digit of z(23)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1091 is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -415 - 226?\nAnswer: -641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12701629.\nAnswer: 131, 96959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 29*v - 2. Suppose 2*x - 4*x + 8 = -a, 4*a = -4*x + 4. Let j be m(x). Suppose 0*o = 5*o - j. List the prime factors of o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5*r = -52, h - r - 1 = 3. Let a = 2 + h. Calculate the highest common factor of a and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270476263 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: Suppose k - 1930 = -9*k. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*s + 2*t, 8*t + 22 = 2*s + 12*t. Let y be (-4)\/(-18) - 16\/(-9). Suppose 0*f = -y*f + 112. What is the highest common factor of f and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 2*v)*(1 + 0 - 207650*v + 207690*v).\nAnswer: -80*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1710 and 1197?\nAnswer: 11970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -70, -152, -288, -496?\nAnswer: -794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 105903336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*2*sqrt(252))\/(-1*sqrt(28)\/sqrt(4)))\/(sqrt(972) + sqrt(972) + (sqrt(972) - 3*sqrt(972)) + sqrt(972) + (-1*sqrt(120))\/sqrt(10)).\nAnswer: 3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x**2. Suppose 8*t + 4 = 12*t. Let z(s) = -1. Let h(a) = 3*a - 2. Let b(g) = t*h(g) - 2*z(g). What is b(m(f))?\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -5\/118 (c) 2\/9 (d) -0.1 (e) 0.088 (f) 0.07 (g) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19475717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11494.3 and 0.007.\nAnswer: 80.4601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 40, 34, -1\/8, -0.8, -1\/7?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 0 - 2) + (-7 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1377) + sqrt(1377) + -2*sqrt(1377))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2258144.1164 - 3370.\nAnswer: -2261514.1164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 - 0 - (-2 - -5). Suppose -1 = -2*c + y. Let d be 1*c + 3 + -5. Is -1 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 2*c**2 + 2*c + 2. Let l be g(3). Which is smaller: -2\/119 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, 588, 1779.7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -32233 (base 7) to base 6\nAnswer: -101031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2*(-22)\/(-110) - 8685\/(-3150)?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**0*w)**42\/(w\/(w\/w**3))**32)**(-13) assuming w is positive.\nAnswer: w**702","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 3 - 10. Let r be 24\/(-10)*(-19 + 4). Let p = r - g. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 1920*s + 19200. What is p(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9372120*x**3 + x**2 + 295*x + 4102.\nAnswer: 56232720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 8*d + 1. Let l be w(1). Let c = l - 10. Suppose 0 = 7*i + 2176 - 2162. What is the closest to 2 in c, -0.4, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 650140 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2730?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-44) - (-818)\/22. Let q = -38 + p. Let j be q\/(1*(-3)\/15). Solve t = j*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/((-70)\/(-36)) + (-20)\/(-50). Suppose -u + 0*u = z - 238, 0 = -2*u - v*z + 472. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p = -6220*d + 6221*d + 10*p + 63, 0 = -13*p - 52 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.58539 * -1.32\nAnswer: 0.7727148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/546 and -47\/468?\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h**2 + 12*h - 12*h)*(-2 - 4 - 2*h**2 - 2).\nAnswer: -12*h**4 - 48*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 60*c + 134*c + 90*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 10 + 757*m + 4 - m**3.\nAnswer: -m**3 + 757*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + (sqrt(3) + sqrt(9)\/(sqrt(12)\/sqrt(4)) - sqrt(3)) + 0).\nAnswer: -5*sqrt(3) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1581 and 13392.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216244228 divided by -495973.\nAnswer: -436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -7353299*v - 35. Let m(u) = 2*u**2. Calculate i(m(t)).\nAnswer: -14706598*t**2 - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 734 (base 11) to base 7.\nAnswer: 2402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-24 - -23) + (1 - -4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 286, 18, 5, -21 in descending order.\nAnswer: 286, 18, 5, 3, 2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -154420 (base 8) in base 16?\nAnswer: -d910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 1920 = -6*s. Calculate the lowest common multiple of (s\/(-50))\/((-2)\/5) and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7599242, 7599260, 7599278, 7599296?\nAnswer: 7599314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 79\/2 of a centimeter?\nAnswer: 395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 2\/41 (c) -29 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nby when three letters picked without replacement from nnnnbbnynynsnnbb.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 82\/825015 and 123\/20?\nAnswer: 3300060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 2104.\nAnswer: 10520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -t**6\/85 + t**5\/34 - t**4\/51 + 11*t. Factor y(r).\nAnswer: -2*r**2*(r - 1)*(3*r - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -34*w - 1. Let s be d(-4). Let i be (190\/(-8))\/(2\/(-8)). Let k = s - i. Does 13 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - h = 0, -5*n - 5*h - 1 + 16 = 0. Let j be 35\/14*(-4)\/(-10). Put -5, n, 0, j in decreasing order.\nAnswer: j, 0, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 + (1 - -3) + -2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 - -13. Let n = i - -6. What is the nearest to n in 2\/11, -0.1, -3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/3 + 52*o**2 - 1479*o + 35258\/3.\nAnswer: -(o - 122)*(o - 17)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gyuwwfygqfff. What is prob of sequence ygg?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14837 - -3599?\nAnswer: -11249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*j + 1426*j - 91773 = -1270*j for j.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a**(-2))**19)**(1\/4))**(2\/7) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 7827087 and 7827093 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26668.24 - -26299. Round x to the nearest 10.\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5849 or 5852?\nAnswer: 5849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i - 10. Let q be t(15). Suppose q*b = -5*b + 140. Solve b + 2 = -4*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/3 of a year in months?\nAnswer: 284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 755 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84 - 10 - -3) + (-7 - -11) + 3 + 13.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of o**4\/4 + o**3 - 144*o. Let v(s) = -2*s**2 - 7*s. Determine 5*p(u) + 4*v(u).\nAnswer: 7*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -13 (b) 2 (c) 143\/2 (d) 1 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-2))\/((-1)\/2). Let d(l) = -5 - 486*l + 3 + 0 + 3. Is d(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -4, -0.1, -2, -7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, e: 2, z: 4, k: 1, j: 2}. What is prob of picking 2 j?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h*(h\/(h\/(h*(h\/(h**(3\/2)\/h))\/h)))\/h)\/h))**(6\/11)\/(h**(3\/5)*h\/h**(-7\/5)))**(7\/6) assuming h is positive.\nAnswer: h**(-28\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24178 and 611358.\nAnswer: 3454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 331, -28406 in decreasing order.\nAnswer: 331, 19, -28406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 5)*(0*t - t - t)*(t + 0*t + t).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 5*y**2 - 15*y - 4. Let j be r(7). Let a(t) = 21*t**2 - 10*t - 70. Is a(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/7)\/((b**(1\/9)*b)\/b)*b**(-6\/13)\/b**(-16) assuming b is positive.\nAnswer: b**(12869\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 - 2466\nAnswer: -2465.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffhfhfffffffffhfffhf. Give prob of picking 1 h and 3 f.\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -v**6\/120 + 2*v**5\/15 - 5*v**4\/24 + 2*v**3\/3 - 16*v**2. Is p(7) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, y: 3, l: 2, k: 3, t: 7, j: 2}. Give prob of picking 1 y, 1 t, 1 j, and 1 k.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7331256*i**3*m + 2*i**2*m**2 + 2*m**2 - 4011604 wrt i?\nAnswer: -21993768*i**2*m + 4*i*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.05 - -7.95. What is the nearest to w in 0.3, -1.7, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 24 = -a - 5*x, -18 = 2*a + 4*x. Does 21 divide (-11 + (0 - a))*-14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 422 (base 6) to base 9.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2123, -2183, -2321, -2567, -2951, -3503, -4253, -5231?\n\"Answer: -5*y**3 - 9*y**2 + 2*y - 2111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3514776 divided by -1171592?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 1627*u**2 + 34*u - 28*u - 6*u - 543*u**2 as x + s*u + w*u**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 11*t**3 - 8*t**2 - 15. What is the second derivative of g(w) wrt w?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 46 - 28 = 0. Let i be 306\/420 - h\/14. Let k = i - 11\/70. Which is the closest to -1? (a) k (b) 1\/2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 29 = 25. Put a, 0.1, 36, -1\/3 in descending order.\nAnswer: 36, a, 0.1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9537460 divided by 4?\nAnswer: 2384365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/(-4)*(1 - 3). Suppose -p*j + 271 = 21. What is j rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 5:53 PM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -163*p**2 - 2*p. Let g(w) = 2393069*w. What is g(j(u))?\nAnswer: -390070247*u**2 - 4786138*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -18. Let r be 1\/(-12)*-4 - (-22)\/(-54). Which is greater: r or q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 17. Suppose 0 = -2*f + b*w + 67, 5*w + 29 + 136 = 5*f. Solve -x + g + 8 = 0, 4*x - 3*g - f = -5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**3 - 21*b**2 - 14*b - 5. Let m be j(-10). Suppose 0 = -39*a + m*a. Let g(z) = -z**2 + 3 + 1 - 2. Give g(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 22 = i, 0 = -2*k + 3*k + 5 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2618, -2623, -2628, -2633?\nAnswer: -2638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/5149 - 489127\/72086. What is the common denominator of 73\/2 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 4*v + 12, -4069 = 3*u + 5*v - 4052 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 0*g + 12 = 0. Solve 0 = -g*v + 4*m, 31 = -4*v - 5*m + 76 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 24918842 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -74417*f + 2. Let n(k) = k**2. Calculate n(p(g)).\nAnswer: 5537889889*g**2 - 297668*g + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -2. Suppose 0 = 2*j - 0 - w. Let t = 3 - j. Solve -18 = 2*u - 5*g, -6 = -2*g - t for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/((-2)\/(796\/(-26))). Let d = t - -107. What is the third biggest value in -3, 5, d, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.391+2\nAnswer: -1.391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*x = 0, -4 + 8 = 5*u - 3*x. Factor 1\/2*f**4 - 5\/2*f**3 + 4*f - 1\/2*f**2 - u + 1\/2*f**5.\nAnswer: (f - 1)**3*(f + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.93 - -11191078.2?\nAnswer: 11191077.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - 4)*1*-2*3269\/934\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 2*u + 15, 0 = x - 4*u + 20 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 425 = 119*d + 18*d - 671 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.27299101275+-0.2\nAnswer: -0.47299101275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1474776 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 5*n**2 + 2*n**2 - 9*n + 0*n**2 - 6 - 2*n**2. Suppose 54 = -18*g + 9*g. Is p(g) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (0\/(-1))\/(-2). Suppose 0*w = t*w. Do -4 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - (6\/2)\/6*0. Suppose j*m - 3*s = 6 + 24, 0 = 5*m + 3*s - 30. Let x(i) = -i + 5. Determine x(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1762\/9 + 196. Which is the smallest value? (a) w (b) 2\/3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o**2 + 105*o + 155. Let z be x(-37). Put 1, 0, z in descending order.\nAnswer: z, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2201 (base 8) to base 3.\nAnswer: -1120201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -81 + 80.5. What is the smallest value in m, 4, 2\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 401615.212?\nAnswer: -401611.212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -64 (c) 1 (d) -7 (e) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, p: 1, a: 1, s: 6, w: 3, b: 3}. What is prob of picking 1 b and 3 q?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -13535763 (base 8) to base 12\nAnswer: -103852b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1658*h + 426*h - 49402 = 221*h for h.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three tenths of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1827\/(-2349)*(-3)\/38 + (-4)\/(-38)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r - 12. Let f(l) be the second derivative of l**3\/6 + 11*l. What is y(f(b))?\nAnswer: -3*b - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -144*c - 5. Let j(s) = -73*s - 2. Calculate -4*f(u) + 9*j(u).\nAnswer: -81*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 588856 - 315706. Round n to the nearest 10000.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {z: 10, y: 5, t: 4}?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7809671 a multiple of 1367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 611 + -898. Let q = j - -305. Is 18 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -6*a - 30. Calculate the remainder when 133 is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -17*i**2 + 2. Let j be p(2). Let b = -764 + 733. Let r = b - j. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40 - 8) + (-2 - 1) + 12826 + -12841.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13*20\/520 + 21\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138623313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*y + 1656 = -39*y - 51*y for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 4*t**2 + 8*t - 5. Let g be x(7). Let l = -103 + g. Suppose 8*p = 3*p + l. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13, 10, -3, -32, -83?\n\"Answer: -q**3 + q**2 + q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 244*p**2 + 92*p + 192. Calculate the smallest common multiple of 2132 and w(-2).\nAnswer: 12792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(4\/5))**(2\/85)*(a*a*a**(-2\/23))\/(a\/((a*(a*a**0*a)\/a)\/a)) assuming a is positive.\nAnswer: a**(18884\/9775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 87 - 85. Suppose 6*d - c*d - 48 = 0. Calculate the greatest common factor of d and 324.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2043.\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -1908*p**2 - 2385*p. Let w(a) = -a**2 - a. Let j(x) = d(x) - 2385*w(x). Let y(h) be the first derivative of h**2\/2 - 8053. Calculate j(y(f)).\nAnswer: 477*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68 + 199 + 3*w - 66 - 65.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -n - 15. What is the second derivative of -t**3 - 3*t**3 + t**n + 3*t wrt t?\nAnswer: -18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 9. Let i = 1 + a. Does 7 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*c**3\/4 + 410042271*c**2\/4 + 82008453*c\/2.\nAnswer: 3*c*(c + 27336151)*(5*c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - ((-2646)\/198)\/(1\/1)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -915, -3667, -8253, -14673, -22927, -33015, -44937?\n\"Answer: -917*c**2 - c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 141 = 21. What is the remainder when d is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7*1 - 9\/(-9). Which is greater: g or 6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 5*b + 23, 4*b - 2*b + 5*v = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 41 = 2*u, 18*f + 51 = 2*u + 15*f. Which is greater: u or 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 11) to base 7.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -136547461 and 0.1.\nAnswer: -136547460.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1585657 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*9\/6)\/(12\/(-20)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of c**4\/4 + 3*c**3 + 5*c**2\/2 - 9*c + 5. What is the tens digit of s(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 326*p - 58 = 297*p. Solve -5*r - 5*c = -25, -5*c + c = -p*r - 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 4.570294ng?\nAnswer: 0.004570294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*g - 1 + 6, -g = -5*x - 3. Suppose 3*v = -3*p - 3, -5*v + 4*v = -4. What is the closest to -0.1 in p, x, -1.7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 1315 = -5*a - 11*j, 1052 = 4*a + 5*j. Suppose -20 = -0*o - 4*o. Suppose -h = s + h - a, o*h = -3*s + 784. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/40 and 107\/299448.\nAnswer: 1497240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/144*6)\/((-7)\/4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.677 + 0.677. Sort u, -42, -1 in descending order.\nAnswer: -1, u, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7494 + 93 + 1519 - 5780 = 119*l for l.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -7945000 to the nearest one hundred thousand.\nAnswer: -7900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -0*a + a. Let o(h) = h**2 - 5*h + 2. Let i be o(a). Suppose -18 = -i*p - 0*p. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -6. Is (-4)\/2 - (p + -10) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 88, 12, -3, 153, 4 in increasing order.\nAnswer: -3, 4, 12, 88, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -127 + 118. Let t(n) = n + 5. Give t(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(2\/15))**(-23) assuming g is positive.\nAnswer: g**(-391\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tw when two letters picked without replacement from wwttwwwwwtwwww.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-17)\/(-1) - (0 + 2). Solve 2*t - w = -23 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = o + 2*z + 14, 5*o - 4*z = -22. Which is the third smallest value? (a) 1 (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - (-14)\/10)*-25. Let r be ((-7)\/21)\/(1\/(-75)). Is (-10)\/r - 674\/t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*u + 179*u - 41*u + 6692 = 0 for u.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/3)\/((-13)\/(-44889)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -611495.89 rounded to the nearest 10000?\nAnswer: -610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.57 times 0.032141\nAnswer: 0.01832037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*o = -65*o - 360. Suppose -o = -12*u + 7*u. Let v = u - 3. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(3136) + -3*sqrt(98)\/sqrt(2))\/(sqrt(49)\/(-1*3*sqrt(7))).\nAnswer: 33*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 2*h + 5*t + 100, 0 = -2*t - 4. What is the least common multiple of 24 and h?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a9b0aa (base 12) to base 3.\nAnswer: -12001212120211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/5 and 41\/79710.\nAnswer: 79710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1903 divide 1226536784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (1482763\/(-3))\/((-161)\/483) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 106401550?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -179957583 by -16029.\nAnswer: 11227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 542 is divided by 91?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3856?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/6132 and -101\/292?\nAnswer: 6132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/32969 and 50\/11941.\nAnswer: 393682829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 75810 and 420.\nAnswer: 151620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -406 - 2?\nAnswer: -410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -359*s + 379*s + 1255*s + 4*s - 3*s - 2*s + (0*s - s + 3*s)*(0 + 1 + 1) - 2*s + s + 3*s as o + d*s and give d.\nAnswer: 1280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 709607 or 709606?\nAnswer: 709607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) + -1)*4)**2 - sqrt(45)\/((sqrt(162)\/sqrt(3))\/sqrt(6)).\nAnswer: -225*sqrt(5) + 3936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q - 6. Let i be z(-14). Is 16 a factor of (-3564)\/i - (-3)\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 442 (base 8) in base 11?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 34*o - 210 = 0 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v + 0*v + v + 3*v.\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-712)\/104 - 28\/12*-3. What is the closest to -0.05 in -7, g, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1184 >= 5927\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rdturtqtt. Give prob of sequence qr.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 154 * 0.3\nAnswer: 46.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - s + 2. Suppose 135 = -5*i + 630. Does 16 divide i\/6 + s\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**5\/3 - 20*t**4\/3 = 0.\nAnswer: -20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (168 + (-232812)\/1392)*60\/(-7)\nAnswer: -45\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 14) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34 - -34) + (-2 - 1 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + q - 4*h = -1012, 0 = -4*q - 2*h + 2012. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-15)*5*((-7)\/1 - 1749493). What is r rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*v**4 - 39057*v**3 - 2165904*v**2 - 5549868*v - 2748864 = 0. Calculate v.\nAnswer: -103\/2, -2, -2\/3, 2224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 184 and 184?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -5*l - 6. Let t = -10 - -7. Let p be 0 + -1 + (-6)\/t. Let c(y) = -y - 1. Suppose m = -2*z + 2, -5*m - 7 - 27 = -z. Calculate m*c(d) + p*s(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -607236 by -100.\nAnswer: 151809\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 6*c + 4 = p, -2*p - 4*c + 8 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ga when two letters picked without replacement from ssysgsgssaussssgsu.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/3 - 3\/27*3. Let d(b) = -b - 3. Let j be d(-3). Let g(f) = -2*f - 5. Let h be g(-4). Solve j = -x*r + r + h for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(396))\/(sqrt(4) - -4*sqrt(16)\/sqrt(4)))**2.\nAnswer: 396\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2285 + 3888. Is f a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17601619.\nAnswer: 7, 19, 89, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -54*q + 48 - 70 + 33 - q**2. What is the units digit of t(-39)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417510296.\nAnswer: 2, 7, 7455541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 15. Let o(s) = 3*s**3 - 2*s**2 - 2. Let w(j) = 3*j**3 - 3*j**2 - j - 3. Give q*o(y) - 2*w(y).\nAnswer: 3*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = -4*f. Let k(p) = p**2 + f - 4 + 2. List the prime factors of k(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 199 = -27*i - 19 - 34, -38 = -5*i + 2*k for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 - 28. Suppose 0 = -q*c - r + 11, 2*r - 12 = -5*c - r. Let v = 1 - 0.8. What is the closest to v in 1\/6, c, 0.1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 197 - 41. Suppose 4*n - 2*i - 12 = x, -5*i = 20. Suppose -5*c + 4*c + 42 = 0. What is the highest common factor of n and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q. Let i(k) = -103*k + 14311. Give i(f(u)).\nAnswer: -103*u + 14311","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-30 + 22\/(66792\/91047))*-4\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -20, -6, 24, 76?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 6*b - 13 = -b, 0 = o - b - 3. Let z = o + -3. Let f(p) = p**2 + 2*p + 1. Calculate f(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)\/sqrt(45))\/(sqrt(2) + (2*sqrt(12))\/sqrt(6)))\/((sqrt(63)*-2*2)\/(-6*sqrt(7)*1)).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2464 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.23 and 160714?\nAnswer: -36964.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*l = -135*l - 414 - 2526 for l.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**2)\/(l\/(l**(-1\/6)*l))*(l\/l**(-1))**29)\/(l\/(l\/(l\/l**(-1\/7)*l)*l*l)*l**6*(l*l**3)\/((l*l**0)\/l)) assuming l is positive.\nAnswer: l**(2129\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**5 - 8 + 8 + 2*r**3 + (-r**3 - r**3 + 4*r**3)*(-r**2 + 0*r + 0*r) - 4*r**5 + 3*r**5 - r**5 + 0*r**5 - 2*r**5 + 0*r**5 + 2*r**5 - 3*r**2 + 3*r**2.\nAnswer: -2*r**5 + 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3144494282.\nAnswer: 2, 43, 157, 232891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*w - 4 = -14, w + 2 = 2*p. Suppose p*l + 4*l = 20, 5*x = -5*l + 24330. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 + -3)*(20\/(-9))\/(-10). What is the nearest to c in 1, 7\/4, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(1\/4)*f)\/(f\/(f\/((f*f**9)\/f))))\/(f*f**(-1\/4)*f*f**1))**(-19))**(15\/7) assuming f is positive.\nAnswer: f**(855\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, o: 15}. Give prob of picking 2 g and 2 o.\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5*b + b**2 + b**2 + 0 + 2. Let w = -4 + 1. What is the units digit of u(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 75 = 6*r. What is the remainder when 358 is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*o = 20*o + 77588. Suppose 3*z - 32707 = o. Let f = -6365 + z. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 6*d**2 - 2*d + 3. Suppose 19 = 4*o - 5. Suppose -o*u - 48 = 2*u. Is 2 a factor of j(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/105)\/((-20)\/(-280)*2)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2.5 or -111487?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 35764, 72706, 109648, 146590, 183532, 220474?\n\"Answer: 36942*b - 1178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.18 from 59840100.\nAnswer: 59840101.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160543.\nAnswer: 37, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(1539) + (1 + sqrt(1539) + sqrt(1539))*4 - sqrt(1539)) + -4)*-6.\nAnswer: -432*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pllq when four letters picked without replacement from {p: 4, q: 1, z: 4, l: 2}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(6\/(-4) + 0). Solve 3*z - m = 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.12 + 0.3131547887?\nAnswer: -2.8068452113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from akea. Give prob of sequence ka.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 300*f**2 - 4 + 4 + 6086*f**2.\nAnswer: 6386*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271 = 4*l - 2*c - c, -4*c - 84 = -l. Suppose l = 5*i - 4*i. Suppose -g + 5*g + 4*n = i, -g + 2*n = -13. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (3 + 2) - (-47 + 78).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2048570 is divided by 4322?\nAnswer: 4264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (113*j + 41*j**2 - 113*j)*(0 + 0 - j + (5 - 4 + 1)*(-j + 3*j - 3*j)) as d*j**3 + v*j**2 + c*j + r and give d.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39233105 to the nearest integer?\nAnswer: 6264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 74\/3, -2\/3, 4, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.9 + -0.1. Let v = o + 9.99999982. Round v to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25.022 + -0.022. Put m, 1, -5, 4 in increasing order.\nAnswer: -5, 1, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -1680*r**2. Let d(q) = -20*q**2. Determine d(o(y)).\nAnswer: -56448000*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.7 - -0.3. Let l = g + -4. Suppose 40 = -5*t + 15. Put t, l, -0.2 in descending order.\nAnswer: -0.2, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/5 of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -l**5\/60 - 5*l**4\/12 - 5*l**3\/2 - 131*l**2\/2 + 5*l. Let z(h) be the first derivative of j(h). Determine z(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**1)**11)**(7\/11))**(-9\/4) assuming c is positive.\nAnswer: c**(-63\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 3 = a, -4*m + 9 = -83*a + 80*a for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 76 - 61. Suppose -907 + 8962 = -l*c. Let o = c + 914. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d*i**3*p**3 - 204168*d*i**3*p + 3*d*i**2*p**3 - 5*d*i*p - 2*d*p**3 - 6*i**2*p**3 wrt i?\nAnswer: -6*d*p**3 - 1225008*d*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51306.61066 - -51306. Let p = 0.614 + -0.004. Let c = p + o. What is c rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = -4*n - 4*p - 116, 19 = -291*n + 290*n + p for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a factor of 120558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x + 2. Suppose -9 = -3*p + 63. Suppose 2*b = 3*s + 14, -4*b + 2*s + p = b. Let z(d) = -4*d - b + 2 + 10. Calculate 9*f(o) - 2*z(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1797131?\nAnswer: 7, 139, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12179 + 12201. Put c, 0, -0.071 in descending order.\nAnswer: c, 0, -0.071","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2710918 divided by 325?\nAnswer: 2710918\/325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w - 1. Let y be 1*(-3)\/(-2 + 5). Let x be b(y). Let r be (-324)\/(-8) - x\/2. What is the highest common factor of 26 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 1 + -2 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j**2 - 6*j - 6. Suppose -4*n - 7 - 5 = 0. Let p be d(n). Let g = p - -15. What is g rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 - (2 + -4)\/2. Let m = g - -11. Let k be 3\/7 - 203003\/m. Round k to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in 230, -0.13, -4, -56, 5?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 14 = -4*m, 24 = -16*m + 17*m - 5*v. Which is smaller: m or -27\/37?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 947118539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -12*h**3 - 3132*h**2 + 3139*h - 1297. Give z(-262).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-8)*(0 + 14 + -18).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sbbbssssssbsbsbssbs. Give prob of sequence ssss.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241 = 5*p + 21. Let k = -42 + p. Solve 2*u - 6 = k*w - 2, -4*w - 6 = -5*u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h + 1. Let j be c(3). Put 2, j, 5 in descending order.\nAnswer: 5, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17 + -2265c?\nAnswer: -22645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 0*n = -3*n - 23, -a + 3*n + 8 = 0. Let z(b) = 2*b**2 + 4*b + 7. Let i(v) = -v - 1. Let x(d) = a*i(d) + z(d). Give x(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = -2*a - 51. Let s = a - -90. Suppose -x + w = -113, s = -4*x - 7*w + 4*w + 452. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -862 by -94.\nAnswer: 431\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2\/5 - 12648*b\/5 - 5056.\nAnswer: -4*(b + 2)*(b + 3160)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -7*y**3 - 4*y**2 - 6*y - 8. Let s be n(-2). What is the greatest common divisor of 418 and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13256*p**5 + 15190*p wrt p?\nAnswer: 265120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*m**3 + 24050*m - 24050*m.\nAnswer: -38*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 20 = -2*q, -5*j = -2*q + 4 + 28. Let h be 2\/(q\/(-15)*-1). Let l = 9 - h. Solve -4*o + 24 = -2*z, 2*o - l*z = -0 + 24 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -270*l**4 + 1335*l + 3065084.\nAnswer: -1080*l**3 + 1335","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 242 and 308.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**21\/n*n)**41)**18 assuming n is positive.\nAnswer: n**16236","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1891019 (base 10) to base 14\nAnswer: -37320b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 5*m + 170 = 0. Suppose -4*t + m = t. List the prime factors of t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*1 + -5)*-5 + -5 + (2*sqrt(55))\/sqrt(11)*-6.\nAnswer: -42*sqrt(5) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21*(1235\/133 - 9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 32*i. Let b(o) = 26*o**2. Determine z(b(v)).\nAnswer: 832*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2. Let l(u) = 3*u + 9. Let d be l(3). Let o = d + -1. Let g(h) = -3*h - 37 + 20 + o. What is m(g(q))?\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 34*y**2. Let g(v) = -1593*v. Give x(g(j)).\nAnswer: 86280066*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0*d = 40. Let t be (-54)\/d - 4\/10. Solve 4*k = 5*j - 28 + 3, t*j = -4*k - 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211992227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -4, 3, 491, -25 in descending order.\nAnswer: 491, 4, 3, 2, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 5*o**3 - 42*o**2 - 6*o - 6. Let i(n) = n**3 - n**2 - n - 1. Give 6*i(z) - v(z).\nAnswer: z**3 + 36*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-1)*3\/(-6). Sort -5, -6, n in decreasing order.\nAnswer: n, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**5\/8 - 27*l**4\/8 + 849*l**3\/8 + 4687*l**2\/8 - 21528*l + 180999\/2 = 0. What is l?\nAnswer: -42, -17, 6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -171*k**4 + 41*k**3\/3 + 3*k**2\/2 + 595. What is the third derivative of f(d) wrt d?\nAnswer: -4104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1541799*c*m - 5351*c - 3*m - 26 wrt m?\nAnswer: 1541799*c - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 472*t - 6828 = -97*t for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (5\/((-210)\/(-36)))\/((-12)\/(-56))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 - -1101011011110?\nAnswer: 1101011101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1, 5, 4 in increasing order.\nAnswer: -1, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/11, 54372, -1\/3, -2\/9, -0.2.\nAnswer: -1\/3, -2\/9, -0.2, -1\/11, 54372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 93?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 410*b + 0*b**2 - 241*b - 2 + 4*b**2 - 2*b**2 + 5*b**3 as i*b**2 + p*b**3 + q*b + d and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (88 - (114 - 55)) + 49.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z - 7*z + 6*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6089575 + 6086719.189. Let r = 3022 + -5879. Let i = r - y. What is i rounded to 1 decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -59*p - 282. What is n(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, 5, -0.04, 9\/2, 0.1 in increasing order.\nAnswer: -53, -0.04, 0.1, 9\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 5)*(5 - 24 - 76*k + 17).\nAnswer: 152*k + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -10\/13, -5, -0.7, 0.1, 3, -3\/7 in descending order.\nAnswer: 3, 0.1, -3\/7, -0.7, -10\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 660 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/108593 + -8578651\/10642114. What is the common denominator of k and -17\/882?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30835255?\nAnswer: 5, 11, 560641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -17499144 from 526.3.\nAnswer: 17499670.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3764*x**3 - 19764*x**3 - 1401*x**3.\nAnswer: -24929*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22 - 7*w + w**3 + 22 + (2*w - 2*w - 2*w)*(-3*w**2 + w**2 + w**2).\nAnswer: 3*w**3 - 7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4210 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20200102000 + 1202?\nAnswer: -20200100021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.079662 (b) -2 (c) -9 (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -10. Let d = 0.04 - -0.06. Let v = 0.3 + -0.4. What is the closest to d in v, 0.5, a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -332 - -331.999998235. What is v rounded to seven decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 17 = k, 4*o - 22 = -o + k. Calculate the remainder when 34 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2989 - -47. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10, 23, 36?\n\"Answer: 13*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**2 + 3236*i + 9744 = 0.\nAnswer: -3, 812","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + sqrt(96)\/(sqrt(32) + sqrt(8)))**2 + (sqrt(432)*2 - sqrt(432)) + (sqrt(192) - (sqrt(192) - (sqrt(192) + -1))).\nAnswer: 61\/3 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)*-2)\/(sqrt(70)\/sqrt(40)) - (((sqrt(60)\/sqrt(5) + sqrt(12))\/sqrt(3) + sqrt(4))\/(-1*sqrt(128)))**2.\nAnswer: -20*sqrt(2) - 9\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 134, 65 in descending order.\nAnswer: 134, 65, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-37*j + 73*j**2 - 75*j**2 - 139*j)*(3 - 1 + 1 - 3 + 4 + 0 + (3 - 2 - 2)*(1 + 1 + 0) - 2 + 6 - 2) as z*j + o*j**2 + c and give z.\nAnswer: -704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 190\/(-76)*(36\/24)\/(25\/(-2))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 161780 - -12?\nAnswer: 161792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 + 6*c + 2. Let s be d(-8). Let b = -81 + s. Calculate the highest common divisor of 3 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253 = -2*q + 579. Calculate the remainder when q is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/9*2)\/(11 - 1325\/120).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, -15, 131?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k = -13*k + 306. Does 17 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-9)*13986\/3108.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*m = 40, -2 - 34 = 3*s - 3*m. Let i be (46\/s + 3)*2. Let k = 3\/4 - i. Which is smaller: k or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-12)*v**(-4\/5)*v**(10\/9)\/(v\/(v*v**13*v)) assuming v is positive.\nAnswer: v**(104\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19878 - 17120. What is the remainder when w is divided by 308?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) 8.98 (c) -2\/5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1102 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4.216 and 0.5?\nAnswer: 3.716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-94*134\/(-40937))\/((-2)\/((-6)\/21)).\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1860364, -3720715, -5581050, -7441369, -9301672?\nAnswer: -11161959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54 - -581. Let t = 798 - m. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4152*w + 19627 = 788*w - 10013 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k - 8. Suppose 3*q - 39 = 6*q. Let g be b(q). Find the first derivative of 5*z**2 + 3*z**4 + 5 + 2*z**4 - g*z**2 wrt z.\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1711392 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - -2. Solve 5*s = s + q for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147667610?\nAnswer: 2, 5, 17, 173, 5021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1091 - 276. Suppose m = 4*w + w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 462*m**3 + 2*m - 28 + 11.\nAnswer: 462*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.13444 to two decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 5:57 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3185*f - 6327*f + 3140*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-22))\/((46\/2)\/23*(-2)\/12).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 67*l + 76. Let x be -1 + (1 - (-2)\/(-7)). What is the smallest value in x, 4\/9, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12837 and 528.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110000001110 + 101?\nAnswer: 11110000010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -17*j**8\/28 - 194*j**4\/3 + 2*j**2 + 2334*j. Find the third derivative of n(r) wrt r.\nAnswer: -4080*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -6. Let x(v) = v**2 - 10*v + 12. Let p be x(9). Suppose 0 = -o + 3*b + 5, 3*b - 2 + 13 = 4*o. Solve u - p = o*j, 3*j + d*j = -4*u - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.4? (a) -1\/1178 (b) -26 (c) 53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 7. Suppose m - 7 = -4. Suppose -j*k - 52 = -m*c, 0*k - 3*k - 9 = -c. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 76 - 20 = 0. What is the units digit of 1184\/28 + (-4)\/p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*j + 576. Let n(v) = -2*v - 4. Let c be n(-3). Let z be 4\/c - (-5)\/((-5)\/(-22)). Calculate the greatest common divisor of z and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 447 - 447.4. Which is the second biggest value? (a) 3\/7 (b) -4\/7 (c) z (d) 7\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*f - 13*f + 27*f + 44*f + 4*f.\nAnswer: 83*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (3796\/8*4)\/(-1). What is s rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 192 and 1856.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 5.7. Let w = q - -1.9. What is the closest to -0.1 in 2\/7, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43757*l + 138849*l + 64647*l.\nAnswer: 159739*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 23*d - 108. What is q(5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -5 (c) -3 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/(-2))\/((-26)\/4 + 7). Suppose -n = -2*n - 10. Which is smaller: n or f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000111010 (base 2) in base 7?\nAnswer: 3104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3498902*j**2*k**3 + 4*j*k**3 - 2*j*k + 48*j - 5*k**3 wrt j?\nAnswer: 6997804*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, b: 5}. What is prob of sequence xx?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + v + 2*a = -8, 3*a - 32 = -5*v. Let y = -7 - -9. Which is smaller: v or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 2*i + 2 = 0, 0 = 5*v + 3*i - 4 - 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*m - 4. Let b(z) = -z**3 - z**2 - z - 1. Let q(d) = -3*d**3 - d**2 - 7*d - 9. Let p(u) = m*q(u) - 5*b(u). Factor p(c).\nAnswer: 2*(c - 1)*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1075394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17925936 a multiple of 651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = l + 4*y - 1, -5*y + 10 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (109 - (-76 - -17)) + -77\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12670 + 207?\nAnswer: -12462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -7. Let v = -1\/84 + 25\/84. What is the third biggest value in k, -1\/4, v?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19294.01 + 19294. Let h = -0.4 + 0. Which is the biggest value? (a) h (b) -1\/5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) -2\/15 (c) 3 (d) -1\/2 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 514, 2461, 5812, 10561, 16702, 24229?\nAnswer: 33136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1900)*3)**2 + 2 - ((sqrt(1900) - (4 + -1 + sqrt(1900))) + sqrt(1900) + sqrt(1900)*1 + 0)**2)*2.\nAnswer: 240*sqrt(19) + 18986","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 24, 19, 4, -27, -80, -161, -276?\n\"Answer: -t**3 + t**2 - t + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 17 + 67 = 0. Suppose -3*d - d = 4*p - t, 2 = p. Suppose 3*h - 148 = -h. Solve -3*l + d*f - h = -0*l, l + 29 = 5*f for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 45\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 8*z - 336. Let y(f) = 12*f - 518. Let j(c) = 14*r(c) - 9*y(c). Give j(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34257.91 kilograms in grams?\nAnswer: 34257910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of 151*i**5\/30 + 5*i**4\/24 - 5*i**3\/6 + 8*i**2. Is d(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/7)\/(2*3\/(-42)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 10:53 PM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/9)*l**(1\/10))**(-4\/13) assuming l is positive.\nAnswer: l**(22\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -l**2\/2 - 11*l + 3. Let y be r(-9). Which is the second biggest value? (a) y (b) 2 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z - 8. Let v be x(-5). Let b(k) = -3*k**v + 4*k**2 - 3*k**2. Let y(j) = 19*j. What is y(b(p))?\nAnswer: -38*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4259 = 307*a + 388*a + 11726 for a.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 410 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -75107, -73720, -72329, -70934?\n\"Answer: 2*r**2 + 1381*r - 76490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -323 + -20033002212?\nAnswer: -20033003201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of 0 + 0*p + 0*p**3 - 23\/12*p**5 + 107*p**2 + 29\/8*p**4. What is the second derivative of x(m) wrt m?\nAnswer: -230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 c, and 1 y when three letters picked without replacement from ununucuynun.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 531280327 to the power of 1\/2, to the nearest integer?\nAnswer: 23050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -12*d**4 - 5*d**3 + 14*d**2 - 5. Let h(k) = 11*k**4 + 4*k**3 - 15*k**2 + 4. Let t(l) = 5*h(l) + 4*x(l). Find the third derivative of t(p) wrt p.\nAnswer: 168*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/(-27)*(-6)\/16. Is f > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 7*z = -3*z - 4, 2*j + 4*z = 4. Let f = -47.8 + 48. What is the second smallest value in -3\/2, j, f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x - 18 = 22 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 65104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 3:29 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p**2 + 33*p**2 + 7*p**2 - 7*p**2.\nAnswer: 25*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 43*k**4 + 2*k**2 - 6*k - 329. Let j(g) = 176*g**4 + 9*g**2 - 27*g - 1316. Let r(b) = 9*f(b) - 2*j(b). Differentiate r(n) with respect to n.\nAnswer: 140*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 6, -2*v - 3*v - 7 = 4*o. Solve o*w = -3*m + 15, 0*m + 4*m = w + 20 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -290\/9 or -881028?\nAnswer: -881028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 371*s**2 + 20*s + 41. Let n be r(13). What is n rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -40.7156 and -0.4?\nAnswer: 16.28624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/4 - ((-4608)\/5184 + 7\/18)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/((-100)\/(-6)) + (-22880)\/36300?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 74 + -60. What is the remainder when 81 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1228 divided by -2.\nAnswer: -614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.959 + -1.19. Let l = w - -0.230992. Round l to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -391 - -853\/2. Calculate the common denominator of (29\/(-14) + 2)*-60 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**3 - 14260*j**2 - 99624*j = 0. What is j?\nAnswer: -3558, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 227, 875, 1969, 3521, 5543, 8047, 11045, 14549?\n\"Answer: 2*g**3 + 211*g**2 + g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 1 = 4*j, j + 20 = -4*j for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1547328 or -276?\nAnswer: -276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -88 + 146. Let h = g + -54. Suppose -3*i - 777 = -2*l, -i = h*l - 2*i - 1529. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 41293, 2, 0 in decreasing order.\nAnswer: 41293, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 8*n + 3. Suppose 32 = -0*c - 4*c. Let m be y(c). Let k = -4 + m. Are -2 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 117 + (-264 - -260) + (-9 - 5).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of t**5\/60 + t**4\/24 + 16*t**2. Let m = -6 + 11. Suppose -m*g = -2*g - 3. Give r(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 256 and 76006840?\nAnswer: 2432218880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -c**5\/210 - 5*c**4\/84 - 4*c**3\/21 + 8*c**2. What is s in x(s) = 0?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*d**3*w**3 - 7*d**3*w**2 - 5129*d**2*w**2 - d*w**2 + d + 4760862*w**5 - 6*w**2 wrt w.\nAnswer: -84*d**3 + 285651720*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 792465 to the power of 1\/2, to the nearest integer?\nAnswer: 890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 6*m + 135 = -2*f, 141 = 4*m + 5*f. Solve -m = -d - 24 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8341 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6234\/1945 + -2\/389. Let h = 4 - n. Which is the closest to h? (a) -0.1 (b) -2 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 + 232. List the prime factors of u.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 2.7. Which is the second smallest value? (a) 2\/25 (b) 5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394.8157 litres in millilitres?\nAnswer: 394815.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - 54 + 66 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2193733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3893, 21, -3\/4?\nAnswer: -0.3893","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-14)*4*(-63)\/(-180).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 6*t**2 + 5*t - 14. Determine g(3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/4)*d\/(d**(-2\/9)\/d))\/((((d*d**(2\/9))\/d)\/d)\/d**(-1\/9)) assuming d is positive.\nAnswer: d**(113\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**3 + 2*v**2 + v - 2. Suppose 0 = 2*l - l + 2. Let p be b(l). Is -12 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 - -53. Let i = -24 + m. Which is the nearest to 0? (a) -0.1 (b) -0.4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6637*q = -6633*q + 28 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173472483?\nAnswer: 3, 57824161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.9 - -5.7. Let k = 0.8 - q. Let r = k - -13. Which is the third smallest value? (a) 0.3 (b) r (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -56\/5, 0.08, -23, 2\/3, 11?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -157572261*n - 1057716098 wrt n?\nAnswer: -157572261","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -35*p. Let s(g) = -6*g. Suppose x = 20 - 15. Let i(c) = c. Let h(t) = x*i(t) + s(t). What is h(v(y))?\nAnswer: 35*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.25, -2, -3, -1\/301?\nAnswer: -1\/301","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2. Let k(x) be the third derivative of x**5\/60 + x**3\/2 - 236*x**2. Give k(i(v)).\nAnswer: 4*v**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1113 - -1109. Let j(n) = -n. Let q be j(0). Sort -5, a, q, 4 in increasing order.\nAnswer: -5, a, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 15375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007014242 to seven decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**2 + 4*c - 2*c - 2*c + 3*c + 2. Suppose -16 = 5*h + 2*q, 3*q + 5 = 3*h - h. Calculate a(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 - (-86 + 59 - -28).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**3 + 29583*p**2 - 944352*p + 7548672 = 0. What is p?\nAnswer: 16, 9829","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 21 = 3*m, 4*j - 2*m + 6 = 5*j. Let n be 17774\/60 - j\/(-48). Let t = 20633\/70 - n. Find the common denominator of t and -59\/40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g - 2. Let h be q(4). Let w = -4 + 3. Let z(s) = -2*s + 1. Let f be z(w). Solve 5*o - h*b = 3*o - 2, 5*o + f*b = 11 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wq when two letters picked without replacement from wwwwwwqvwwwwww.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(252)*4 - (sqrt(252) + (-3 + sqrt(252))*6 + sqrt(252)))**2*-6.\nAnswer: -389016 - 20736*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 8*i - 26. Let c be o(0). Let j = 28 + c. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.00162 + -0.25914. What is r rounded to two dps?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5333 - -26576?\nAnswer: 34131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 181415, 362826, 544237, 725648, 907059?\nAnswer: 1088470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5344 (base 11) to base 9.\nAnswer: -10621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 + -39. Put -5, x, 0 in descending order.\nAnswer: 0, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - -1. Solve 5*w + 5 = -4*a, a = 3*w + 31 - o for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1162 + 1691. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2194 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wkwkwwk. What is prob of picking 2 k?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1724 and 31002692.\nAnswer: 1724","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-8) - (-38)\/19.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19829 is divided by 185?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.63524829 to three decimal places.\nAnswer: 28.635","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j - 2*j + 4*j)*(-4 - 5 - 3 - 46) as s*j + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30287.\nAnswer: 31, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-494)\/(-65) + -7)\/((-6)\/(-4)). What is the closest to -1 in 3\/7, z, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d + 0*d - 3*d. Suppose -4*x = -15 + 7. Let p(g) = 5*g - x*g + 0*g. Calculate p(w(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*y**3 - 133*y + 21*y**4 + 133*y + 2*y**5 + 12*y**2 = 0. What is y?\nAnswer: -12, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -2, 3, -122, -1938.\nAnswer: -1938, -122, -2, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59174016.\nAnswer: 2, 3, 11, 14009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 173273922 to the power of 1\/2, to the nearest integer?\nAnswer: 13163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and -0.4246296.\nAnswer: 0.0753704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3485*j = -3402*j + 1328 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/17226 and 25\/28.\nAnswer: 241164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -7*p - 2, 3*k = 2*p + 463. Let y = k - 129. Factor 3\/2*z**2 + y + 12*z.\nAnswer: 3*(z + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 (base 4) in base 5?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-3)\/(-7) + 18\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -1, 8, -4, 70, -3, -42 in ascending order.\nAnswer: -42, -4, -3, -1, 8, 22, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/23577880 and 13\/9879.\nAnswer: 70733640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 20*h + 1312. Give s(-55).\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*a - 138 - 14 = 0, -2*a + 172 = n. Suppose 4*t - 629 = h + 4*h, -h + n = t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4 + -2*-1*sqrt(1300) + sqrt(1300) + (-2 + sqrt(1300) + -5)**2)*2*-1.\nAnswer: -2690 + 220*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 252976 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*q - 2. Let c be -46*q\/(3 + 1). Let m = c + 38. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 123*k - 18. Let n(t) = -90*t + 19. Give -3*n(v) - 2*o(v).\nAnswer: 24*v - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.34 and -5.8?\nAnswer: -1.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/5)\/(i*i*((i**(-2\/73)*i)\/i)\/i*i))\/(i**(-3\/4)*i**(-1\/6)))**30 assuming i is positive.\nAnswer: i**(-2873\/146)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 + -59. Suppose -4*o = 5*g - 10, -3 = -y*o + g - 5. What is the remainder when 2 is divided by (1 - (0 - o))*(2 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -363, -1550, -3547, -6354?\nAnswer: -9971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 13 - (-3 - 0) - 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 69873073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9366483?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10522 is divided by 2069?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5 + 2*(sqrt(432) + sqrt(432)*5)**2.\nAnswer: 31104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 1654 = -810. Suppose -3*j + f = -p, 0*j + 4*j - 419 = 3*f. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 1061*j**4\/4 - 280*j**3 - 1095. What is the third derivative of y(f) wrt f?\nAnswer: 6366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 7*p - 5. Let i(m) = -m**2 + 1. Determine i(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 0. Suppose -4*v + 7 = -3*d, -5*d = -2*v + m*v - 19. Let s = 0 + 0.1. What is the second smallest value in 5, s, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 6*c - 5888. Is 29 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10852 times -2.9?\nAnswer: 31470.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 6*h**2 - 13*h - 13. Let c be s(8). What is the highest common factor of 110 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 o when two letters picked without replacement from etettetetro.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 9*r + 195. What is k(-19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -145*(-4)\/(-28) - (-296)\/(-1036)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4539*q - 77090. Calculate u(17).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 250580.688 to the nearest 1000.\nAnswer: 251000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(2736) + -1*sqrt(2736)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 6*l - 5. Let c be o(3). Suppose 36*b - c*b + 1032 = 0. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21468618?\nAnswer: 2, 3, 397567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Is -421579 less than -421579?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -3*j**5\/35 - 3*j**4\/28 + 2*j**3\/7 - 8. Factor u(a).\nAnswer: -3*a**2*(a - 1)*(a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, m: 2, k: 4}. What is prob of sequence mkmy?\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -179*m**4 + 8*m**3 - 8*m + 242. Let s(h) = 60*h**4 - 3*h**3 + 3*h - 81. Let q(g) = -3*k(g) - 8*s(g). What is the derivative of q(y) wrt y?\nAnswer: 228*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -4, 0.2, -5, -1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 404541023?\nAnswer: -404541025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, c: 4}. Give prob of picking 3 c and 1 q.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 262 - 4*w**3 + 83 - 430 + 85.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -0.2. Suppose -2*o + k - 23 - 12 = 0, o = 5*k - 31. Let p be (o\/(-168))\/((-2)\/(-3)). What is the nearest to 2 in p, s, -0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.184 != -1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/2984960 and 49\/396.\nAnswer: 26864640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2*-1)\/((-31)\/31)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -627, -628, -629?\n\"Answer: -z - 626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-1 + 0 + sqrt(99))**2 + ((sqrt(99) - 1*sqrt(99))*6)\/sqrt(9)).\nAnswer: -100 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/(-108)*(3591\/(-14))\/(-9)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -10. Let c = b - 2. Let y = 1 - c. Is 1 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10670846 and 44714?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 at most as big as -4507.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008089 to 4 decimal places.\nAnswer: 0.0081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 161 + 161 - 322 + 19*u**2 - 20*u**2. Let l(k) = 3590*k. Calculate l(h(p)).\nAnswer: -3590*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*a - a - 3*a)*(-2*a**2 + 5*a**2 + 4*a**2) + 2 - 2*a**3 - 3 - 8)*(5*a**2 - 2*a**2 + 3*a**2).\nAnswer: -54*a**5 - 54*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5319*b**2*y - b**2 + b - 450 wrt y?\nAnswer: -5319*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/18)*r)\/r**8)\/(((r**(19\/4)*r)\/r)\/r*r**(-1\/20)) assuming r is positive.\nAnswer: r**(-479\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 83446 and 506?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 39180.\nAnswer: -1\/9795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2059?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*i - 11, -3*s + 0*s + 19 = 2*i. Let q(u) = 2*u**3 + 61*u**2 - 236*u + 80. Let c be q(-34). Solve b = -s*b + c for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + 1173309 - 1173309.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -19648*k + 1787961. Give y(91).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -363*k**3 - 1859*k**2 - 664*k\/3 - 20\/3 = 0.\nAnswer: -5, -2\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(15\/7))**7 assuming b is positive.\nAnswer: b**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 196 = -3*y, -2*s + s = -3*y + 98. Let t = s - -117. Is t < 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215072 is divided by 25281?\nAnswer: 12824","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 141, 1120, 3741, 8814, 17149, 29556, 46845?\n\"Answer: 135*p**3 + 11*p**2 + p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3358973179 to the power of 1\/3, to the nearest integer?\nAnswer: 1498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 791.8009l in millilitres?\nAnswer: 791800.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q - 23. Let c be o(-12). Let z(k) = -23*k + 22. Let x(v) = 12*v - 11. Let t(m) = c*x(m) - 6*z(m). What is the first derivative of t(y) wrt y?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5990 and 10?\nAnswer: 5990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 7:53 PM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f - 238 - 15*f**2 + 238)*(-f + f - f)*(0 + 0 - 2*f).\nAnswer: -30*f**4 - 8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10346 + 10352. Let m = -3 + 3.07. Is m at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 9 = 3*o + 3, -2*o - 132 = 22*n for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1356*r + t = 1364*r - 12, 2*r = 2*t - 13 - 5 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/4 and 2\/9 - (118\/18 + (-37)\/(-74))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 20*m + 0*m**3 - 7\/2*m**2 - 31 + 1\/2*m**4. Differentiate b(g) with respect to g.\nAnswer: 6*g**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -8*v - 2. Let f be h(1). Let a(b) = -b**2 - 18*b + 13. Let g be a(f). Let z = g + 8. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -924*m + 935*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in -0.1, -5\/3, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 10*s**3 - 370*s**2 - 5*s + 181. Let l be o(37). Sort l, 3, -1, 14, 0.\nAnswer: l, -1, 0, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 300021 (base 4) to base 2\nAnswer: 110000001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -0.16 (c) -97.09 (d) -0.08 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 94432989?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 8*t**2. Let d(w) be the second derivative of w**3\/3 - 4*w. Give d(j(o)).\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 5:55 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 64*w - 68*w + 7700. Suppose 0 = -64*n + 75*n - w. What are the prime factors of n?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwwjxwwjxxw. What is prob of picking 2 w?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 989.4702 litres to millilitres.\nAnswer: 989470.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 4*v = -105. Let b(s) = 31 + s**2 + v - 54 - s. Calculate b(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, v: 4, u: 3, o: 1}. What is prob of sequence ev?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*f**2 + 35*f**2 + 28*f**2.\nAnswer: 47*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 + 14 + (-25 - -91) - (-2 + 1 + 1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, v: 1, j: 1, c: 1, o: 1, b: 6}. Give prob of sequence ro.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*v - 57, -2*v + 107 = 2*v - 5*f. Solve -v*z - 72 = 8*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8 + 7)\/((-1)\/13). Let g(o) = 6 + 7 - z + 3*o**2. Let y(f) = -12*f. Give y(g(q)).\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 404126 to the nearest integer?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/(-2) - (-165)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**13\/h))\/h**(-25))\/((h\/h**(7\/5))\/(h\/(h\/(h\/(h**(-2\/99)\/h))*h))) assuming h is positive.\nAnswer: h**(7633\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 4 = 4*h. Differentiate 4 - 3*w**2 + h - 3 + w**2 wrt w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -375561 divided by 9.\nAnswer: -41729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53 - -77. Let y = -23 + z. Suppose -p + 5 = 3. Solve -p*s - y = 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1977 and -0.19.\nAnswer: -375.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 108 - 117. Suppose c + 20 = 5*c. What is the second biggest value in -1\/2, r, c?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 6:25 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 12, q: 6}. What is prob of picking 4 q?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*g**2 + 0*g**2 - 2*g**2 + (2 - 2 - 2*g)*(-g - g + 3*g) to u*g + b + w*g**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*f - 113*f + 145*f = -188*f + 26224 for f.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 148 and 148220?\nAnswer: 5484140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -123, -38, 101, 294?\n\"Answer: 27*g**2 + 4*g - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lhlthqhmlhnqqmm. What is prob of picking 2 q?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -260, -520, -768, -998, -1204?\nAnswer: -1380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -55*i. Let a(t) = -150*t**2 - 81. Let r(x) = -19*x**2 - 12. Let y(n) = -4*a(n) + 27*r(n). What is y(s(m))?\nAnswer: 263175*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339*k = -333*k + 30 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 172360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 3:03 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 5*f. Let x(w) = 11*w - 1. Let m(n) = -9*p(n) + 4*x(n). Let y be m(-7). Let j be -1*(-2 - -4) + y. Solve -3 = -2*r + j for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c + 55 = -35. Let z(j) = 315*j**2 + c*j - 314*j**2 + 1 - 1 + 1. Calculate z(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42 by 27.\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(27))**2 + 4.\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 159473237 a multiple of 371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lml when three letters picked without replacement from {m: 13, l: 3}.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -3, -2, 5, -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 16 = k - 2*w, -11 = 4*k + 3*w. Let l = k - -2. What is the third derivative of s**2 - s**3 + 3*s**l - 2*s**2 wrt s?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 7:00 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -56009707.77 - -488?\nAnswer: -56009219.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 - 27. Let p = -53 - l. Suppose -p = 2*o - 26. Solve o + 5 = 4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3\/2 + 117*y**2 - 15741*y\/2 - 7986.\nAnswer: 3*(y - 44)*(y + 1)*(y + 121)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 7879*a - 86925. Determine y(11).\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11171 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: What is the square root of 305898726 to the nearest integer?\nAnswer: 17490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -13*o**2 - 3. Let s(g) = 350*g**2 + 80. Determine 80*b(u) + 3*s(u).\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -6*x - 146. Let y = x + 20. Solve 8 = -n + y*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -32, -26, -16, -2, 16?\n\"Answer: 2*k**2 - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 253412 + -5?\nAnswer: 253403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/10 + -3*4\/(-60). Suppose -i*z + 28 = 12*z. Calculate the highest common divisor of 46 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-6) + 34\/6. Let x be 6*(-3)\/12*-2. Find the second derivative of -2*k**5 - x*k + k + k**b - k**5 wrt k.\nAnswer: -40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b - 32 - 22 - 42 = 0 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8253947*a**2 + 2*a - 8823396 wrt a?\nAnswer: 16507894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.08 + -0.19. Let w = o + 0.11. Put -0.3, w, -5 in decreasing order.\nAnswer: w, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_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 are the prime factors of 114652?\nAnswer: 2, 28663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 4*b - 28*b - 53.\nAnswer: -32*b - 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.512 + 10.012. Which is the third biggest value? (a) 1\/4 (b) -4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 798396290 is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - (-9 + 7 + -17 + 17) - -2.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 160133 - 160122.999808. Let m = 10 - z. What is m rounded to 5 dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/1574464 and -77\/3542544.\nAnswer: 14170176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of 4*f**4\/7 - 4*f**3\/21 - f**2\/7 + 2284. Factor h(j).\nAnswer: 2*j*(2*j - 1)*(4*j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*y - 2518 - 5491 = 615 for y.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*i - 4056 = -22326. Is 27 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -17, 0.08, 4, 2.1, -2\/3, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*w = 4*p - 260988, -w + 2*p + 87006 = 0. Round w to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -35*j - 58. Is s(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 z when two letters picked without replacement from jkkjjjjlpklz.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1572\/1179)\/((-4)\/6*(-9)\/(-1)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 717 = 4*j + 133. Is (j\/1 + 3)*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = g + 25. Let i = g - -35. Solve 5*w + 1 = -i for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + (sqrt(500) + -2*(-1*sqrt(500) - sqrt(500)) + 3*(sqrt(500) + -1))*-6).\nAnswer: -2880*sqrt(5) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q + 13*q + r = -3300, -5*r = -4*r. Factor 5*d**2 + q*d**4 + 0*d + 605\/2*d**5 + 0 + 225\/2*d**3.\nAnswer: 5*d**2*(d + 2)*(11*d + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25\/2? (a) -548 (b) -2\/19 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - 30) + (3 - -14) - -5.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -4*m + 5. Let j(t) = -t - 18. Let p be j(-16). Let w(y) = -y + 1. Give p*a(f) + 10*w(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4971 - 2b?\nAnswer: -49a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.76544782 to 3 dps.\nAnswer: -0.765","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**3 - j. Let g be p(1). Suppose -z = 2*z - 4*c - 25, 5*z + 4*c + g = 0. Suppose -4*w + m + 2081 = 4*m, z*m = w - 524. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of 7\/6*l**3 + 1\/20*l**5 + l**2 - 7\/12*l**4 + 12*l + 0. What is the smallest common multiple of r(6) and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2522 - -0.7478. Is x > 287?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y**3 - 352*y**2 - 798*y + 884. Give b(-115).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/8, -3042\/7, 1\/2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 12:37 AM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + 146 = -p, -p - 12147 = z - 12163 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/(sqrt(72)\/sqrt(9)))**2 + sqrt(1900)*1*5 + ((sqrt(19) + sqrt(475) + sqrt(19) - sqrt(19))*6 + (-2*sqrt(171))\/sqrt(9) + sqrt(19))*3.\nAnswer: 19\/4 + 155*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 at least as big as -2352?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105 + 3*u + 105.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l + 0*l - 33031352083 + 33031352082.\nAnswer: 6*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2519720 is divided by 14481.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -b**3\/2 - 2686*b - 1. Let s(t) be the third derivative of -t**5\/6 + t**2. Determine s(f(y)).\nAnswer: -90*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -718*l*m**2*v**2 - 2*l*m**2*v - 1926*m**2 - 2*v**2 wrt l.\nAnswer: -718*m**2*v**2 - 2*m**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (2*(sqrt(304) + 1 + sqrt(304) + -2))**2 + 0 + 1)*-3.\nAnswer: -14592 + 192*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10174, 19740, 29306, 38872, 48438, 58004?\nAnswer: 67570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*u - 194*u**2 + 0*u**3 - u**3 - 97*u**2.\nAnswer: -u**3 - 291*u**2 + 26*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15.14 + 3.81. Let u = 0.47 - h. Let a = u + -6. What is a rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 219780288 divided by -86256\nAnswer: -2548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -655*p - 1318. Give v(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 35 - 46325\/9275*7\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -155975, -314826, -473677, -632528?\nAnswer: -791379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 35. Let b(j) = -j**3 - 4*j**2 + 5*j + 2. Let g be b(-5). Let z be g + -1 + (-3)\/(-1). Solve 4 = 2*x + 3*l, -u = 4*x - 8*l + z*l for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.55756us to milliseconds.\nAnswer: 0.04555756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29\/142514 + -277458953\/77670130. Let f = s - 3\/109. Which is greater: -4 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72908340.\nAnswer: 2, 3, 5, 409, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - m - l + 10 = 0, -m + 5*l = 8. Suppose 2*f + 1 + 3 = -m*h, -4*h - 16 = 0. Solve -1 + 7 = -f*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y + 19. Let h be i(11). Let g = 5 + h. Let d be ((-4)\/(-3))\/(5\/((-30)\/(-4))). Solve -10 = -d*u - g*s - 2*s, 0 = 3*s for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37\/4 + -267\/28. Let s = 0.06 + 0.34. Let d be 2\/(-4)*1\/2. Which is the nearest to d? (a) h (b) -1\/4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 4, 50, -1231, -172.\nAnswer: -1231, -172, 1, 4, 5, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*n = 49*n - 56. Solve -7 - n = 14*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**2 - 2 - 2*q**2 + 3*q**2 - q - 2*q + 3*q**2 + 2*q + (-2 - q**2 + 2)*(-2 + 1 + 0) - 4*q + 4*q + 41*q**2 to the form p*q**2 + h + f*q and give p.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2284 + -1118. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 369585961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.149? (a) 3\/7 (b) 1 (c) -1\/8 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 200\/170809 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(2\/7))**(-20))**(2\/81) assuming p is positive.\nAnswer: p**(-40\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3001 (base 9) in base 7?\nAnswer: 6244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1368.6 + 1369. What is the nearest to 0.1 in u, -4, 2\/11, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246825?\nAnswer: 3, 5, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5 - 3*o**3 - 2 + 6*o**3 - 4. Suppose l = 2*l - 3*x - 2, -2*l + 36 = 2*x. Let j = l - 10. Let v(h) = -10*h**3 + 3. Determine j*v(y) + 14*r(y).\nAnswer: 2*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 8. Suppose 5*y - 90 = -w. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 15, 5, 165, 1 in ascending order.\nAnswer: 1, 3, 5, 15, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 10*x**3 + 2*x**2 - 2*x. Let s(a) = -a**3 - a**2 + a. Determine 2*n(c) + 4*s(c).\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from zhbvbbzvbbhtbtbhvh?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55 + -25. Let o = r + -29.978. Let a = 0.02121 - o. What is a rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27263 is divided by 213.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*b = -49. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6036 + 5994 = -14*p. Solve -4*y - n = 7, -4*y + 4*n - 17 = p*n for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 14\/5 (b) -2\/35 (c) 5.97 (d) -4 (e) 5 (f) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 1 + 9. Suppose 2*q = -3*l + 483, -6*q + i*l = -q - 1217. Suppose -3*u + 6*u - 3 = 0, -4*x + q = -u. What are the prime factors of x?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -7*z**3 + z**2 - 2*z + 6. Suppose 42 - 38 = 2*m. Let u be f(m). Let i = -45 - u. What is the highest common factor of i and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*g - 36*g + 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -24, -37, -74, -147, -268, -449, -702?\n\"Answer: -2*u**3 + u - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 45*h**2 + 100024. Let f(m) = 6*m. Give f(b(d)).\nAnswer: 270*d**2 + 600144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1557, 1553, 1549, 1545, 1541?\n\"Answer: -4*g + 1561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/(-6)*816\/272.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56462 or 56464?\nAnswer: 56462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.587 rounded to 1 decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 203*f - 211*f + 35 = -418*f, -3*f + 2*f - 7 = 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 552696 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02 - -2.98. Let m = 3 + 1. Let o = l - m. Which is the smallest value? (a) o (b) -2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, e: 4, r: 4}. What is prob of sequence nnr?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 270 divide 2335597740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -9, 47, 0, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f, 4*b = 4*f - 3*f + 4. Let m = 4 - -3. Let v be m\/4*2\/7. What is the closest to v in -1, -1\/6, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 920027.\nAnswer: 53, 17359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v - 1. Suppose 39 = 3*u + 9. Let j be 30\/18*12\/u. Let n be (1 - -1) + (j - 5). Let y(a) = -4*a + 5. What is n*y(p) - 6*s(p)?\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.4 (b) 9 (c) 3 (d) -13 (e) 5316\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + 0.1. Let x be -2 + (14 - (0 + 3 + -7)). Suppose -3*n + x = 13*n. Which is the smallest value? (a) -2 (b) 3\/5 (c) g (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k**3*q*s**2 + k**3*q*s + 491*k**3*q - 223*k**2*q*s**2 - 7*k**2*q*s - k**2*s + 1 wrt k?\nAnswer: -6*q*s**2 + 6*q*s + 2946*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a + a - 4*a**3 - 7*a**4 + 5*a**3 + 0*a**3 to m*a**2 + v*a + x*a**4 + g + q*a**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 30*y**2 - 30*y + 32. Let d be i(29). Let p(b) = -5*b - d*b - 13 + 6*b. Give p(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1260\/5)\/4 - -1. Let v be ((-1)\/(-2))\/(8\/d). Solve -v*b - 4 = 0, -5*w + 2 - 9 = -3*b for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h + 0 + 0 - 2*h - h + 4*h + (-3 + 1 + 1)*(-1 + 1 + h) + 703*h + 1561*h + 452*h.\nAnswer: 2714*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21683 rounded to 2 decimal places?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1162 - -1162.1. Which is the nearest to y? (a) 13 (b) 3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 13*z**2 + 2*z + 1. Let l = -6 - -5. What are the prime factors of o(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1933634919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3) - 0) + 91\/39?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + (-10)\/6)*(-55 + 54). Which is the closest to -1? (a) 4\/7 (b) -1\/2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 + -3 - (-10 + -9 + 12 + -6)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -7*((-18)\/(-2) + (-7)\/(-7)). Calculate the remainder when 35 is divided by -4*42\/98*q\/8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 485441394.\nAnswer: 2, 3, 41, 1973339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z**2 - 25*z + 2. Suppose -105*r - 120 = 615. Determine k(r).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-5) + (-33)\/(-90)*-3\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h + 1. Let a(j) = 2*j + 2. Suppose -b = -5*b. Suppose -3*x + 4 - 13 = b. What is x*r(d) + 2*a(d)?\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -5*z - 13868015, 0 = -2*c - 3*z - 19210435 + 5342426. What is c rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65006885 divided by 13001377?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -7 times -0.41\nAnswer: 2.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23291.655 seconds to minutes.\nAnswer: 388.19425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2619 and 247347.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 3*v + 16, 468*v - t - 3 = 467*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.685 take away 0.0095?\nAnswer: -6.6945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71127969?\nAnswer: 3, 11, 2155393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 705 = 4*c, k + 55 - 231 = -c. Is 2 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10.2 - 10. Let g = 0.42 + -0.12. What is the smallest value in g, c, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13a - -1?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 79233431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-575)\/125*5 - -5.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 36 = 16. Suppose -19 = 3*j - 6*j + 2*r, j - 4*r = i. Suppose k**j + k**5 - 4*k**4 - 2*k**2 + 0*k**2 + 6*k**2 - 2*k = 0. Calculate k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3197983?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -101544 + 35?\nAnswer: -101506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/6 - (-1)\/(-3). Suppose -3*m + 2*r - r + 23 = f, -5*r = -20. Let n = 1 + m. Is n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*z**2 + 0 + 2\/5*z**4 + 4\/5*z**3 + 0*z.\nAnswer: 2*z**2*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 340740?\nAnswer: 1362960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(637)*3.\nAnswer: -1 + 21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1072?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 3 - 1\/3*d**3 - d - 2*d**2. Determine r(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 3*c + 32. Let w = 90 + -64. Solve 4*p + c = -4*i, w = -2*i - 5*p + 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 3*w + 2. What is the lowest common multiple of w and 19?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*q + 30 = 0. Let b be 16\/q - (-4)\/10. Suppose -b*c + 4*v = -3*c + 23, 2*v = 8. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -47*q - 52*q + 3*q**2 - q**2 + 111*q = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40 + 428. What is the remainder when f is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -11*i - 5. Suppose -f - 4*n = 7, -3*f - 4*n + 7 = n. What is the remainder when r(-2) is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-2\/5))**(-48)*(f*f**(2\/13))\/f**(1\/9) assuming f is positive.\nAnswer: f**(-16238\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -9*q - 527. Let c(u) = -2*u - 1. Calculate -5*c(v) + x(v).\nAnswer: v - 522","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 x when two letters picked without replacement from ggxgxxhghugxhhhxg.\nAnswer: 25\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wdcq when four letters picked without replacement from qqqnqgcwqdnnc?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 580311.\nAnswer: 3, 21493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 235186*k**2*q - 128*k**2 + 187*k*q - 345935*k + q wrt q.\nAnswer: 235186*k**2 + 187*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 118 - 72. Let q be (-2)\/(-4)*n\/(-1). Suppose -w - 134 = -3*h - 5*w, 4*h - 137 = 3*w. Calculate the greatest common divisor of q and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3568 + -348. Round m to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54387 (base 11) in base 4?\nAnswer: 103102023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 4*o - 76 = 0, 16*a + 12*a + 41 = 31*a - 4*o for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -14*s + 489. What is j(34)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f - 2. Let n(o) = -9*o - 4. Let x(k) = 6*k + 82. Let z(m) = -m - 9. Let p be z(5). Let u be x(p). Determine u*n(t) + 5*l(t).\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 126851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-398)\/(-36) - 1) + -4 and -19\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ba1 + -1?\nAnswer: -ba2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 932\/16 + -47\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1179, 1298, 1499, 1782, 2147?\nAnswer: 2594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -20*w**3 + 5. Let p(y) = -21*y**3 + 6. Give 5*p(c) - 6*s(c).\nAnswer: 15*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -780 = 107*a - 47*a for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4226411681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*g**2 + 22*g**2 - 34*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 17 - 9 = 0. Suppose 24 = 5*r - 4*k, -11 = -n*r + k - 6*k. Suppose -r*j - 165 = -425. What are the prime factors of j?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4549 is divided by 31.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*l**2 - 19*l**2 - 19*l**2 - 23*l**2.\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 75\/9016126 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6009 + -5986. Solve 14*s + q = -33 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 14 = 2*t + 5, -9 = -5*t - 2*f. Suppose 0 = 2*u + t*k - 850, -3*k - 818 = -2*u + 2*k. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111110111011 (base 2) to base 4.\nAnswer: 1332323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of v**5\/200 + 41*v**4\/15 + 6724*v**3\/15 + 2*v - 358. Find n, given that g(n) = 0.\nAnswer: -164, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cd when two letters picked without replacement from ooddcdcccdcrdocooo?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/(-7) - -75 - 5. Is 15 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m = 17*m - 51*m + 1560. What is the remainder when 311 is divided by m?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -52*c + c**2 + 52*c + (2 - 2 - c)*(-2*c + 2*c - c) + 2*c**2 + 2*c**2 - 12*c**2 + (-4*c + 2*c + 3*c)*(0 + 0 + c).\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 264\/(-94) + 21\/28*4. Which is greater: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -13*n + 0*n**2 + 0*n**3 + 1\/6*n**4 + 0. Let t(h) be the second derivative of h**3 - 3*h. Calculate t(g(v)).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23773683 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 + 6\/(-10) + 390285\/1475 + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -685 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q + 11583*q**2 + 4*q - q + 54*q**3 - 11577*q**2.\nAnswer: 54*q**3 + 6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24010370 to the nearest integer?\nAnswer: 4900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-469))\/(74340\/(-27671))?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g + 1 = 15*g - 3*w, -g - 4 = -2*w for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 272744188?\nAnswer: 272744188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 146352513.748079758 + 0.251920242. Let u = t - 146352514.76000003. Let o = u + 0.76. What is o rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 5*b - 9*b)*((b**3 - b**3 + 2*b**3)*(5*b + b - 3*b) - 2*b**4 - 4*b**4 + 5*b**4).\nAnswer: -30*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, v: 1, a: 1, i: 3}. Give prob of picking 2 v and 1 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of 176*f**5\/5 + 723*f**2 + 926*f. What is the first derivative of m(z) wrt z?\nAnswer: 2112*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11\/16? (a) -0.5 (b) -0.1 (c) -3\/85 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 2035.\nAnswer: 6105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w + 7. Let b = 13 + -18. Let f be y(b). What is the third derivative of -10*t + 10*t + f*t**2 - 2*t**5 wrt t?\nAnswer: -120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + -1)*(-9)\/24.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/(-44) + 64620\/(-198). Let s = 484 - m. Is s a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/2 of a centimeter?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104 = 24*n - 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1364 (base 7) in base 4?\nAnswer: -20120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 181 + -121. Suppose 27*a - 37*a = -z. Sort 2, a, 0.\nAnswer: 0, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(5\/20) - -15967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 - 11. Let s(c) = 149*c - 656*c + k - 496*c + 95*c. Is s(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r**2 + 323*r - 144. Calculate u(-108).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 + (94 - 79 - 97)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 44628000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3455417 and -0.17.\nAnswer: -587420.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**5\/5 + 3*u**2\/2 - 3*u. Find the first derivative of t(l) wrt l.\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v. Let j(h) = -9*h**2 + 2*h + 3. Let k(t) = 5*t - 4*t + t + 4*t + 8 - 26*t**2. Let a(m) = -8*j(m) + 3*k(m). Calculate l(a(u)).\nAnswer: -18*u**2 + 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52.08 - -51. Let r = -1.0800047 - l. What is r rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 341 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 0)*(-m + 3*m + 0*m)*(3 - 4*m - 3).\nAnswer: 48*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(320))\/(sqrt(64)*2).\nAnswer: -5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1782718 and 16.1?\nAnswer: 28701759.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22443, -180605, -609883, -1445829, -2823995?\nAnswer: -4879933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 363*q**2 - q - 49.\nAnswer: 726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z**2 - 2*z - 1. Let p(w) = -2141*w**2 + 10*w + 5. Determine 5*c(s) + p(s).\nAnswer: -2156*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 3)*(-4*h + 2*h + h + 2*h - 2 + 2 + 3*h + 3*h - 5*h + (-5 - 1 + 4)*(h + 2*h - 5*h) + h + 4*h - 4*h).\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 835*a**5*l - a**2*l + 2*a**2 + 7*l wrt a.\nAnswer: 50100*a**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - ((2 - 4) + -1). Which is the biggest value? (a) -0.4 (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 499423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 799 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: Is 4255668083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 + 0*k**3 - 2*k**3)*(-150 - 83 - 334*k + 332*k).\nAnswer: 6*k**4 + 699*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(1 - 0*4\/(-8)). Suppose s = 5*r - 3*m - 16, -4*r + 10 = -5*r + 5*m. Sort 1\/5, r, -1\/5.\nAnswer: -1\/5, 1\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 785323536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 8*n + 5. Let g be w(7). Let i(b) = 10*b**2 + b + 1. Let a be i(g). Suppose 5*r + y = 43, 3*y - a = -4*r + 2. Is r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7adb - -102?\nAnswer: -79d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 - 124840?\nAnswer: -124833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 60 = -4*x, -2*x + 0*x + 2*v + 10 = 0. Suppose 7*r - 4*p = 2*r - 10, -2*p + x = 0. What is the greatest common divisor of 3 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18 - -16fe9?\nAnswer: 17001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-65)\/(-150) - (38\/(-12) - -3).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -2\/15*t**5 + 0*t - 5\/12*t**4 + 0 - 1\/60*t**6 + 4*t**2 - 2\/3*t**3. Factor n(w).\nAnswer: -2*(w + 1)**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2470885859?\nAnswer: 13, 17, 11180479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4*b. Let c(z) = -26*z + 21. What is c(q(n))?\nAnswer: -104*n + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4103 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1053*i**2*k**2 + 178*i**2*p + 784*i*k**2*p - 2*i*k + 2*k**2 + k*p - 10*p wrt i?\nAnswer: -2106*k**2 + 356*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 70*u - 34*u - 30*u + 1 - 7.\nAnswer: 6*u - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -z**6\/120 + z**5\/20 + 24*z**3 - z**2 - 9*z. What is the hundreds digit of q(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 7*k - 4. Suppose -3*m - 3*p + 7 = -149, -k*m - p = -109. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 258 - 258.1. Which is the nearest to n? (a) 2 (b) -3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -347*t + 605*t + 802*t + (2*t + 3 - 3)*(-2 - 2 + 1) to b*t + k and give b.\nAnswer: 1054","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 228779003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.5889mm to meters.\nAnswer: 0.0125889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1328 and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 368 divided by -6\nAnswer: -184\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2417\/4, 4.5, -32, -0.4, 0.1 in descending order.\nAnswer: 2417\/4, 4.5, 0.1, -0.4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 1 = 2. Suppose -74 + 137 = -7*f. Let p be (m - 7)*15\/f. Solve 0 = 4*w + 2 + p for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 9:35 AM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -121*o**7\/42 - 5*o**4\/12 - 7*o**3 - 146*o. What is the third derivative of w(d) wrt d?\nAnswer: -7260*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001617977 to 6 dps.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 287 - 267 + 18*o**2 + 7*o**2 - 3*o**2.\nAnswer: 22*o**2 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6\/5 + 3\/10. What is the closest to b in 3\/2, 1\/5, -5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z + 17. Suppose -16 = g - s, 4*g - s = g - 40. Let w be f(g). Let c = -5 - w. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - 4 - (5 - 3). Let f = -152 + 122. Let p be (-39)\/6 + f\/12. Put p, -5, t, 1 in increasing order.\nAnswer: p, -5, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**5*x**(-1)*x)**(-5))**(-29) assuming x is positive.\nAnswer: x**1015","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**3 + 0 + 1 + s**4 + 3*s**2 + 0*s**2 to d*s + j*s**2 + g*s**3 + r*s**4 + p and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1067 - 2431 = 127*w + 191*w for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 561*i**4*n - 2*i*n + i - 31642*n + 2 wrt i.\nAnswer: 2244*i**3*n - 2*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53 + -51. Suppose 14*v - l = 15*v. Let r(t) = -24*t - 28. Let u(d) = -23*d - 27. Let w(g) = -6*r(g) + 7*u(g). Let z(p) = -4*p - 5. Give v*w(s) + 9*z(s).\nAnswer: -2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 39\/7 != 12.45544?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*q**4 + q**3 - 30*q**4 - 5*q**3)*(4*q - 3*q - 2*q).\nAnswer: 11*q**5 + 4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*t + 16 = 6*w, 2*w + 2*t = 12. Suppose -182*s**3 - 1620*s**3 + w - 726*s**2 - 66*s - 10 - 860*s**3 = 0. What is s?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 3*g + 5. Let k be f(4). Let l be 8*(4 + k + -2). Suppose -s + l = -13. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(3 + (-34)\/10). Suppose h = -n + 3. Let l be ((-2)\/(-5))\/(n\/(-30)). What is the highest common factor of l and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-11 + 17)*52\/(-66) and -85\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3360266 is divided by 27?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 q when three letters picked without replacement from jjjejjeqjjjjjjf?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28.062 - 28. Round m to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*u - 23*u - 195 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3088 = 469*t - 83*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.73 - -0.27. Let u = 51 - 28. Suppose 10*p - s = 8*p - 2, 4*p - 5*s = -10. What is the nearest to 0.1 in p, u, k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 0*x**4 + 3\/5*x**5 + 3 + x**3 + 0*x**2 + 16*x. What is the derivative of t(q) wrt q?\nAnswer: 12*q**3 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 8 - 0 - (6 - 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 739\/5 + -148. Which is the fourth smallest value? (a) 5 (b) u (c) 2\/5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4*3\/(-12)*15. Let d = 847 + -835. What is the greatest common factor of n and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + -1 + 2 + -13 - 3?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1*(-1 - 0)*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 1933 - 24637. Let b = -45473\/8 + i. What is the common denominator of b and (-34)\/(-22) + -6 + 4?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -9*b + 40. Let m be x(7). What is the smallest value in m, 0.3, 2\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 6 = -5*w. Suppose -4*a = 16, -w*a + 113 = 3*v + 3395. Let c = 1835 + v. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 98932 by -1255.\nAnswer: -98932\/1255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -26.\nAnswer: -5\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 6 = 2*m. Let u(t) be the third derivative of -1\/2*t**3 + 0*t + 4*t**2 + 1\/120*t**6 - 1\/12*t**5 + 0 + 1\/12*t**4. Give u(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 346545 and 153.\nAnswer: 346545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 107297 = -d - 3*j, 2*d + 3*j = 214608. Suppose -13*o + d = -92288. Suppose o = 9*u + 4*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 950583?\nAnswer: 3, 316861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4985*k + 42090 = 121850 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 6*n + 10. Let v(g) = 5*g + 9. Let x(d) = -4*t(d) + 5*v(d). Let u be x(-3). Suppose 3*l - u*o = 74, -3*l + 67 + 19 = -5*o. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1316 + i + i + 0*i - 1316.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*4\/(-12)*-11. Calculate the greatest common factor of y and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**4 - 4 - 1 + 0*s**4 + (0 + 1 + 0)*(s - s + s**4) + 6 - 6 + 4*s**4.\nAnswer: 6*s**4 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (418 - 20\/4) + 25\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1889.3 rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-5)*a*a**(-6\/11)\/a*a**6*((a**(-3\/7)*a)\/a)\/a)\/((a\/((a**0\/a)\/a))**13\/(a**4*a\/((a**(7\/3)\/a)\/a)*a)) assuming a is positive.\nAnswer: a**(-5384\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 16*i - 1. Let y be v(-2). Let a = y + 77. Let u = a - 28. What is the remainder when u is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 + 4*y**2 + 30*y - 72.\nAnswer: -2*(y - 3)**2*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/127 (b) 0 (c) 5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.46603784 - -0.466. Round z to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-1 - -1) + 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 4*x**3 + 127168*x**2 - 4*x - 127168 = 0.\nAnswer: -31792, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 92752 to the power of 1\/2, to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6, 0.3, 2 in decreasing order.\nAnswer: 6, 2, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(70)*4 + sqrt(70))\/(sqrt(50)\/(sqrt(35)\/sqrt(7))).\nAnswer: 13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**45\/(w\/w**41))\/((w**(-4\/21)*w)\/w)**(-21\/8) assuming w is positive.\nAnswer: w**(169\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -d**4\/24 - 2*d**2. Let u(i) = -6*i. Calculate f(u(b)).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50960014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -503 + -4 + 6 + 0. What are the prime factors of (-10)\/4*32\/(-20) - f?\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51.000063 - -51. What is k rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 18.92412 from 0.11.\nAnswer: -18.81412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 220, 560, 1014, 1582, 2264, 3060, 3970?\n\"Answer: 57*h**2 + 169*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 191047023 to the nearest integer?\nAnswer: 13822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*t - 876 = 539 + 377 for t.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 58 and -2.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 + -42 + (2 - (1 - 2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + r - 1. Let y(c) = c. Let s be y(2). Let v(k) = -s*k - 2*k**2 + 0 + 0*k**2 + 3. Give -u(w) - v(w).\nAnswer: w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-44)\/33)\/(2\/15). Let o be 2\/k + (-42)\/(-10). Let x = 227 - 226. Sort x, 37, o in descending order.\nAnswer: 37, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123 - -123 - (-8 + (-2 - -2)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, -95, -233?\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1402 is divided by 177.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q - 2*q - 2*q)*(-q**3 + 2*q**3 + q**3) to u*q**4 + w*q**2 + b*q + n + j*q**3 and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*n**5 + 4\/5*n**3 + 4\/5*n**4 + 0 - 4\/5*n**2 + 0*n.\nAnswer: -4*n**2*(n - 1)**2*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10147895.\nAnswer: 5, 17, 277, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o. Let f(a) = -7*a**3 + 5*a. Determine 5*c(d) - f(d).\nAnswer: 7*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r + 2. Let j be u(2). Determine i, given that -j*i**2 + 3 + 1 - 4 + 4*i**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 19375 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 15 - 51 = 0. Solve 9 + g = -5*o + 5*b, -3*b = 3*o - 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -795030547*d**3 + 27061814*d**2 - 8.\nAnswer: -4770183282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/12*-10)\/(1\/(-6)). Suppose z*i = -p + 67, 3*p + 57 = 2*i + 275. Calculate the highest common factor of p and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 4. Suppose -2*t + 5*x + 79 = 0, 0 = j*t + 2*t - 3*x - 137. Suppose 5*i - t = 4*b, b - 28 = -4*i + 6. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6613 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((-35 - -2) + 298 + -280 + (-16 - -2)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 50*b**4\/19 - 1573210*b**3\/19 + 314608*b**2\/19 + 1006840*b\/19 + 13248 = 0?\nAnswer: -2\/5, 1, 31464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 328, 2, 1 in ascending order.\nAnswer: -3, 1, 2, 328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -467984 and -5.\nAnswer: 2339920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 489532909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 7*x = 6*x + 27, -x - 21 = 3*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*c + 100*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60019 is divided by 122?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61301 + 4912 = -3441*o + 84692 for o.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 + 12 - 9)*(-1 - 2 + 4)*(0 - 2 + 3)*(2 + 0 + 0)*(-140 + 67 + 81)*((3*k - k - k)*(1 - 1 - 2) - k + 2*k - 2*k - 2*k + 0*k + k) to s + j*k and give j.\nAnswer: -1024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/5 (b) -8\/3 (c) 2 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 179\/60840 and -209\/10920.\nAnswer: 425880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + g - 14 = -4, 0 = 3*m - 4*g + 6. Let h = -2804 + 2809. Let u be -4 + 6\/(-10) + (-342)\/(-95). Put u, h, m in decreasing order.\nAnswer: h, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 595 a factor of 74651675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -4715, -1 in increasing order.\nAnswer: -4715, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20.000005 - 20. What is w rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-15)\/12)\/((-2)\/(-8)). Let a be m\/(-10) + (-5)\/(-2). Solve 19 = 4*q + a for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15387, -15383, -15377, -15369, -15359, -15347?\nAnswer: -15333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*p = -24*p - 32 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*f - f = 215, -685 = -3*a - f. Let s be (-2)\/(1 - 26\/24). Suppose -a = -2*k + s. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 + -2 + 31 + -33.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 3*t**2 + t + 5. Let m be j(4). Suppose 4*v - 2*i + 0 - 10 = 0, 5*i = 2*v + 15. Suppose -o = -3*b - 13, v*o + 3*b = -2*b + m. Is o even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -1 - (-3 + -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4 = -m, 4 = -9*m + 10*m - 5*z. Let f(n) = n**3 - 4*n**2 + 4*n - 5. Give f(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/1*(-33)\/(-11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2157 and 189572259.\nAnswer: 2157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2080419 or -2080265?\nAnswer: -2080419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**3\/7 + 4720*f**2\/7 + 384148*f\/7 - 416992 = 0. Calculate f.\nAnswer: -83, 7, 1256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9526 divided by 43514?\nAnswer: 4763\/21757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hnnihiiniinvihvviih. Give prob of sequence ih.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -171*i + 55. Let m be x(-5). Suppose -3*q + 684 = 3*b, -7*q = -3*q + 5*b - m. What is the remainder when q is divided by 77?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3065 a factor of 1176656895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, b: 1}. Give prob of picking 3 n.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*w - 48. Suppose 2*s + 2*s = w. Suppose -2*o + s = -0*o. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-6) - (-21)\/(-9). Let i = -30 + 30.36. Let q = -0.26 + i. What is the closest to q in g, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -339*k**3 + 22251*k**2 + 3198855*k wrt k?\nAnswer: -2034*k + 44502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-8))\/(4\/12)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of 2\/3*h**3 - 2 + 1\/15*h**5 - 3\/2*h**2 - 1\/3*h**4 + 0*h. Let y(t) be the second derivative of z(t). Factor y(a).\nAnswer: 4*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (80\/(-10) - 238\/(-21))*234\/(-130)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -5*l + 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/99381 - 519862016\/496905. Which is smaller: b or -1045?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 5*c + 12*c + c. Let x(g) be the third derivative of -g**5\/15 - 3068*g**2. Give x(u(i)).\nAnswer: -1296*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -0.6. Let y = v + 0.5. What is the closest to -0.1 in 3, 1\/2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.36268 and 228?\nAnswer: 224.63732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 s when two letters picked without replacement from snctcpccc.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.2 - -9. Let q = f + 10.4. Round q to the nearest integer.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zfaf when four letters picked without replacement from {n: 1, z: 4, b: 2, f: 3, k: 1, a: 1}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3*z + 320 = r, -3*r = 3*z - 240. Let n = 5 + -3. Factor 4*w**3 - 7*w**3 + 8*w**3 - 40*w**n + r*w.\nAnswer: 5*w*(w - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 146.5 - 146. Which is the closest to 1? (a) q (b) 42 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9 - 36\/6 - 1. Let b = 4\/37 - -284\/111. What is the common denominator of b and (945\/75 - 10)\/(n\/8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10325 - 10327. Which is the closest to m? (a) -2\/23 (b) -9\/4 (c) 1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -23*i**3 + 4*i - 2. Let y be a(3). Let o = y - -1104. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3. Let p be (-7)\/(-4) + 2\/8. Let q(j) = -j**2 - 5*j - 1. Let n be q(-4). Let y(t) = 1 + 5 - t - 2. Give n*s(d) + p*y(d).\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 - j + 10 + 14 + 14.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**3 - 480*w**2 - 1988*w + 85272 = 0. What is w?\nAnswer: -114, -17, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-85)\/(-34))\/((-15)\/(-48)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/7 - (394272\/4921 - 80))*(-6)\/10?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -1 + 1 + 3*v. What is the units digit of n(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110010010000011101 - 110101?\nAnswer: 1110010001111101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 240 - 234. Let d = -0.5 + -1.4. Let a = d + 2.1. What is the second smallest value in -2, j, 3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18588 + 33332 = 1180*x for x.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 3:39 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4.72 (b) -0.4 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 7*f**2 + 41*f - 27. Is s(23) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + (-1)\/(-2))*6. Let o be -1*(-2 - (4 - -2)). Let c = w - o. Sort c, 5, -2 in increasing order.\nAnswer: -2, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2276 a factor of 46962984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5125 or 5123?\nAnswer: 5125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 8 = 2*c, 2*c - 5*c - 4*w - 2 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2 - 2 - (-59)\/27) + 1 and 2\/33.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 119958?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 4*s + 3*a + 15, -5*s - 2*a = -4. Suppose 0 = -5*t - s*y + 121, t - 80 = -3*t + 4*y. Let p = t - 1. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -10*j**3 + 2*j**2 + 25*j + 24. Is n(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18095278 to the power of 1\/2, to the nearest integer?\nAnswer: 4254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 2369638 and 2369645 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 11*a**6\/10 + a**3\/3 - 16*a**2 + 4*a. What is the first derivative of d(q) wrt q?\nAnswer: 132*q**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 + 113006553?\nAnswer: 113006563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, -4, -1\/3411?\nAnswer: -1\/3411","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -61.213483 + -22.64?\nAnswer: -83.853483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -1914*f + 1895*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(684) + 0 + -1)**2 - sqrt(684)) + -5 + -2*(sqrt(684) + 1 + sqrt(684))*6)*-4.\nAnswer: -2672 + 648*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3600 + 384 = 0. What is the highest common factor of 64 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (239 + 352 - 124)*(0 + 2*w**2 + 0)*(-w**2 + 2*w**2 - 4*w**2).\nAnswer: -2802*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -264428.49 and -0.2.\nAnswer: -264428.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 275?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/5)*g)**3*g*g**37*g*g**(-40) assuming g is positive.\nAnswer: g**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 105 + -103. What is the nearest to -2\/9 in c, 0, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-282)\/(-204) - (-1 + (-5)\/(-2)). Sort t, 0.5, 12 in descending order.\nAnswer: 12, 0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -5 - 1 + 4*c - 3*c. Let s(w) = -w**3 + 4*w**2 + 32*w + 5. Let p be s(-4). What is t(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76 and 41857?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15.32 at least 0.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1817436 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 19 - 145*s + 53*s + 52*s - 2*s**2 + 52*s in the form c + z*s + h*s**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 2, 135 in increasing order.\nAnswer: -1, 2, 3, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 20*l**2. Let b = 37 - 38. Let w(d) = -d - 1. Let f(t) = 2*t + 3. Let n(k) = b*f(k) - 3*w(k). Determine s(n(m)).\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3 = -m, -4*m - s = -2*s - 45. Suppose -5*y + m = -8. Let k = 6 - y. Solve -k*z + 2 = -4*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -0.48. Let l = -0.48 + b. Put l, 1\/9, -5 in ascending order.\nAnswer: -5, l, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*w. Which is the closest to w? (a) 2\/9 (b) 4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*q + 1332 = 1572 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*s = 17, -5*w - 28 = -6*s + 3*s. Suppose 0*j - 3 = -j. Let h(b) = -j - 11*b + 7*b - 3 + 3*b. What is h(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, s: 4, j: 6}. Give prob of picking 2 s.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**4\/12 - b**3\/2 + 3*b. Let s be g(-3). Suppose 3*k + 2*t = -7, s*k + 4*t + 22 = 2*k. Solve 4*w = -k - 11 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*c + 271789, -5*w - 126*c = -119*c - 271809. Is w a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 907384553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 574 = -184. Is (s\/(-2))\/(4\/8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 2*w - 1. Suppose 5*s = -t + 8, s + 0*t = -5*t - 8. Suppose -i + 3 = 4*l, 7*i - s*l = 2*i - 7. What is h(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.064 minus -0.0066403406?\nAnswer: 2.0706403406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.247 - -392.247. Let i = o - 392.065. Is 1 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 10) + (-1 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 495 + -491. Suppose 0 = -c*x + 5*a + 11, 2*x - 4*a = -9*a + 13. Solve -5*k + 11 = f - 3*f, -x*k = 3*f - 18 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n + 4 + 1 + 3*n + (0*n + 0*n + 2*n)*(11 + 90 + 193) to o + m*n and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5782, -5778, -5772, -5764, -5754?\nAnswer: -5742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 897a3 (base 11) to base 6\nAnswer: 2442055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 273 = 4*d. Let l = -62 - d. Is l a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-2) - 31\/((-806)\/(-377)). Which is the second smallest value? (a) 2\/11 (b) 2\/3 (c) s (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.09 (b) 0.2 (c) 270\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 539, 375, 211, 47?\n\"Answer: -164*h + 703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -353, -2009, -0.12 in increasing order.\nAnswer: -2009, -353, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3463, 27330, 92093, 218200, 426099, 736238, 1169065?\n\"Answer: 3408*u**3 + 11*u + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 212\/(-8) - 1\/2. Let y be 9\/a - (-32)\/6. Suppose 5*r + y = 125. What is the greatest common divisor of 216 and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dds when three letters picked without replacement from {d: 4, s: 3, b: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11075081 is divided by 64?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -21*a + 1. Calculate s(-1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 904 - 1007.75. Let q = -1.75 - i. Let o = q - 102. Which is the closest to o? (a) 4 (b) 1 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4004, 3999, 3998, 4001, 4008?\n\"Answer: 2*z**2 - 11*z + 4013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -184\/139 or -2?\nAnswer: -184\/139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fv when two letters picked without replacement from fvcsfoffs.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z + 22. Let f be v(7). Suppose -24 - f = -4*r. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42677207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 - 222*s**2 - 5301*s.\nAnswer: 3*s*(s - 93)*(s + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -118a8 (base 13) in base 3?\nAnswer: -1122020101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111, -124, -145, -174, -211?\nAnswer: -256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -c**6\/60 + 10*c**5 - 2500*c**4 + 1000000*c**3\/3 + 1219*c**2. Factor a(f).\nAnswer: -2*(f - 100)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -8*v**2 + 2*v**3 - 5 + 9*v**2 - 18*v**2 + 11*v. Let m be p(8). Solve m - 4 = -3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 439*h + 1235 + 4879 - 1331 + 2*h**2 with respect to h.\nAnswer: 4*h + 439","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 - 65 = -289*p + 1244. Let h = 8 + -6. Let k be 2 + 1\/(1\/4). Solve p + k = h*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 2:40 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 187\/(-55) - 2\/(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.16918 times 73.8\nAnswer: 12.485484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w**2 - 2*w - 5. Let s be x(-4). Suppose -y = -s + 5. Let v be ((-11080)\/240 - (4 - (-33)\/(-9)))*-2. What is the greatest common divisor of y and v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/3)\/(-2*1). Let b be (-22430)\/30 - (9 - 0). Let a = 756 + b. Is v equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.14 + -0.09. Let z = 3 - 2.85. Let a = v - z. Is -0.14 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 16*o**2 - 13*o - 64. Let p(d) = d**2 - 15. Let z be p(0). List the prime factors of c(z).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -9*h - 23. Let u be o(-14). Suppose 505 = 4*b - c, -2*b + u + 146 = 3*c. Does 18 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 8*y + 7. Let i be l(-7). Let q = i - 0. Suppose 4 = u - q. Solve -d = -u*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 a when three letters picked without replacement from {a: 3, s: 8}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 7 = 38. Let j be 3\/g*0\/3. Suppose j = -5*a + 302 + 293. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-3\/13)*w*w)\/((w\/(w*w**(-9\/4)))\/w))**(1\/29) assuming w is positive.\nAnswer: w**(79\/1508)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-4 - -2) - 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -6*t - 11*t + t**2 - 4*t + 5 + 12*t. Determine k(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/15533? (a) 75 (b) 5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 160*-187\nAnswer: -29920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4281 + -4073. Calculate the greatest common divisor of z and 592.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 398?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 152 and 190?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k - 4. Let v(r) = -r - 4. Let z(u) = -4*i(u) + 3*v(u). Let d(j) = -j - 5. Let l(n) = -4*d(n) - 5*z(n). Let a(s) = -9*s. What is l(a(g))?\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/9*r + 2\/9*r**2 - 154\/9.\nAnswer: 2*(r - 11)*(r + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-12\/7)\/(v\/v**(-36)) assuming v is positive.\nAnswer: v**(-271\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 60 = -7*s. Let i be (1 + s)*(-13 - -11). Calculate the greatest common factor of i and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214376 is divided by 153.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = c + 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -3292529.926 to the nearest one hundred thousand.\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 822264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.77, 0.3, -2\/15, -6 in decreasing order.\nAnswer: 3.77, 0.3, -2\/15, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -5*p. Let l(w) = 4*w**2 + 93*w - 286. Give l(y(z)).\nAnswer: 100*z**2 - 465*z - 286","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 2\/15 (b) -1\/11 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 432643419?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -14455311*-1\nAnswer: 14455311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 1 = -1. Let u = 665\/3 + -745477\/3363. Let g = u + -68365\/4484. Calculate the common denominator of y and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37703927 by -3.\nAnswer: -37703927\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*0\/(-3))\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 0*z**2 - 10*z - 4 + 4*z. Let q = -758 - -763. Determine v(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.6 and -387.08?\nAnswer: 386.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*i = -76, 3*i - 16 = 4*c - 148. Let y = 297 + -295. Let z = y + c. Is 16 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2826 = 258*d - 1044 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-324)\/(-189))\/((-36)\/196)?\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + y = 0. Suppose y = -h - 2*h + 210. Calculate the greatest common factor of 14 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 + -2 - (-2506 + 2458)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 2. Suppose -2*t + 2*i = -4, 0*t - 5*i - 10 = 2*t. Let m be 0 + 1 + (t - 1). Solve u = -m*u + x for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -23*y**3 + y**2 - 5*y - 50. Let d(p) = 10*p**3 - p**2 + 2*p + 23. Let o(l) = 3*c(l) + 7*d(l). Give o(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3 + 3*n**2 + 6*n + 3 + n**3 - 7*n. Let j be o(-2). Let b = -3 + j. Solve 0*t = b*c + 4*t - 21, c - t = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -99a387 + c?\nAnswer: -99a378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15943 and 1064.\nAnswer: -14879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16285604?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.4 times 3?\nAnswer: 10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -109 - -113. Suppose -5*l + 2947 = 2*i - 862, u*i - 1514 = -2*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 495820203 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -8*u**3 - 2*u**2 - u. Let v be t(-1). Suppose -4*m = v - 39. Calculate the highest common factor of 12 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72225 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.11 in -1, -1090, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 8*z**2 - z + 11. Let y be g(8). Let w(j) = -j + 20. Let o be w(-16). Let d = o + -36. Solve y*p = -d + 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 32*u - 16. Suppose 3*k = -h - k + 28, -h = -5*k + 17. Let z be m(h). Let l = z - 113. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -510 = -3*c + 8*c. Let g be 1\/(2\/c) + -2. Let k = 122 + g. What are the prime factors of k?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**5 + 1137*j**4 - 119889*j**3 + 2281863*j**2 - 8108256*j - 48191364 = 0. What is j?\nAnswer: -3, 13, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4175 divided by 835\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 4*t - 482, -474 = -4*t - 2*j + 3*j. Suppose 5*u - 2*u + 2*v - 57 = 0, 0 = 5*v - 15. Calculate the highest common factor of t and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5778 - -5780. Which is the closest to 1\/6? (a) p (b) -7 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1165049*z**3 + 5*z**2 + 20433*z + 9 wrt z?\nAnswer: 6990294*z + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 41930778 and 17141.\nAnswer: 41947919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 771a02 (base 13) to base 14\nAnswer: 52d64b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -63*k**3 - 97*k**2 - 104*k + 80302288 wrt k.\nAnswer: -189*k**2 - 194*k - 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 735282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/7, 0.2, 2\/19?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 585045309 to the power of 1\/2, to the nearest integer?\nAnswer: 24188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 4*o**2 - 7*o + 10. Let s be c(-5). Let g be 4\/s + 69\/5. Suppose g*n - 12*n = 42. Calculate the greatest common divisor of n and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -445\nAnswer: -44.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**2 + 54 - 27 - 30 + 5*u**2 + 2*u**2.\nAnswer: 4*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 5:55 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 230795850 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, d: 3, i: 2, r: 3, w: 4}. What is prob of sequence ir?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 67704 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -672, -628, -570, -492, -388, -252, -78, 140?\nAnswer: 408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3*m - m = -3, 5*r - 40 = 5*m. Suppose -r = -2*k - 1. Factor 2\/7*b**k + 2\/7*b + 0.\nAnswer: 2*b*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 23*v**4\/4 + 25*v**3\/3 + 9. Find the third derivative of r(k) wrt k.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 3 + 3)*(-6932*z**3 - 8390*z**3 + 17712*z**3 - 2*z**4) to v + q*z**4 + h*z**3 + r*z**2 + o*z and give h.\nAnswer: -9560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 3907120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3415745643301.9 from -0.4.\nAnswer: 3415745643301.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + x**2 - 1. Let o(z) = -11*z**3 + 8*z**2 - 6. What is -o(c) + 6*t(c)?\nAnswer: 5*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.7 (b) 3\/7 (c) -0.2 (d) 4 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*u = 0. Let s(m) = m + 56. Let o be s(14). Let n(p) = 77 + p + o - 149. What is n(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 521 a factor of 1177939320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001032 rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 + 31. Suppose 0 = 2*t + m*t - 42. Suppose t*s = -13 - 15. Which is the second smallest value? (a) 1 (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 equal to 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 5*h**2 - h - 1. Let u be q(4). Suppose u*j = -3*j + 42. Which is the second biggest value? (a) j (b) 0.2 (c) -1\/4 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00034196299 to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 103895212403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in 5, -1\/6, -20, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34150*p**3 + 34149*p**3 - 5*p - 2*p + 7*p - 2.\nAnswer: -p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.22 + -253.78. Let d = 257.1 + u. What is the second smallest value in 9, 2, 2\/9, d?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and 0.0164?\nAnswer: 0.1164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/3)\/((-2)\/3). Let d(r) = 2*r**2. Let k be d(z). Let n(t) = -t**2 + 8*t + 5. Let v be n(k). What is the highest common divisor of 25 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 p, and 1 t when four letters picked without replacement from {t: 4, c: 1, p: 2, o: 1, v: 3}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -9*i + 60. Suppose -5*n + 6*f + 58 = 2*f, -n + i = 2*f. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 + 765616*i**2 + 36645442196*i + 952264010984.\nAnswer: 4*(i + 26)*(i + 95689)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1*sqrt(104)*-2)\/sqrt(8) - ((sqrt(104) + -3*(sqrt(104) - 1*sqrt(104)) + sqrt(104) + sqrt(104))\/(sqrt(392)*-1 - sqrt(8) - sqrt(8)))**2.\nAnswer: -2*sqrt(13) - 40\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j + 4*j - 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7942931 and -2643.2.\nAnswer: -7945574.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - -18 - -8*(-8)\/(-112).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 99*x - 94*x - h, -3*x - 3*h - 6 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 132*i**2 + 4108*i + 87. Does 233 divide f(94)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -7002360.\nAnswer: 3501180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -z - 5, 4*z = -5*k + 4. Let s be (8\/(-10))\/((-84)\/315). Solve k = -s*m + 13 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -130.42 - -132. Let c = 0.08 - l. Let z = -1 - c. Sort 3, z, 2.\nAnswer: z, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 80571 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 32 = -10*c. Solve 7 = n - 2*v, -5*n - 3*v + c = -4*v for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 1 (c) -121\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.51 + 576.51. Is 0 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1005*h + 1735*h**3 + 1606*h + 2607*h + 2*h**4 - 5214*h**2 - h**3 - 1740.\nAnswer: 2*(h - 1)**3*(h + 870)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**3 - 3070 + 1538 + 295*p**2 + 1534 + 2530*p**2 + 0*p**3 - p to c + r*p**2 + t*p**3 + w*p and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1084 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooxxooorrroxo. What is prob of sequence xoox?\nAnswer: 21\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/15*(1 - 1). Suppose -7*n - 59 + 66 = w. Suppose 4*o - 18 + 2 = 0, 2 = -5*a + 3*o. Solve n = a*u - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9684\/(-24))\/((-18)\/12). Let b = s - 258. Solve -2*x = 5*g + 1 - b, g = 3*x - 15 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 6:31 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vjjubbb. What is prob of picking 1 j and 1 v?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*b**3 + b**3 - 9*b**3 + 3 + 6*b - b**3 in the form j + p*b**2 + o*b**3 + r*b and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 777512?\nAnswer: 2, 17, 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 2:05 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 - 2*h + 4*h + 3*h - 15*h + 11*h.\nAnswer: h - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = l + q + 11, 3*l + q + 55 = 0. List the prime factors of 29*31 - (l - -18).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -8. Let o = -3 - -2.7. Let p be 3*(50\/(-42) - -1). What is the smallest value in y, p, o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -6*k - 70\/3*k**2 + 1\/2*k**5 - 101\/6*k**3 - 7\/3*k**4 + 0 = 0.\nAnswer: -2, -1\/3, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -314114 (base 5) to base 16\nAnswer: -2926","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165 - 117 = -8*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*z + 15*z - 7413. What is the remainder when z is divided by 118?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (-3 + -1 + 2). Solve -7*h - 23 = -x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7180, -57536, -194210, -460360, -899144, -1553720, -2467246, -3682880?\n\"Answer: -7193*m**3 - m**2 - 2*m + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10.2 * 835.7\nAnswer: -8524.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2377 + 8?\nAnswer: -236a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 36\/(-135) - (-2)\/(-15). Put g, -4, 0 in decreasing order.\nAnswer: 0, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6206556 smaller than 18619670\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4\/3 - 8*h**3 - 47*h**2 + 286*h\/3 + 968.\nAnswer: -(h - 4)*(h + 6)*(h + 11)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + 7*t - 5*t)*(1 + 0 - 2)*(-t**3 + 0*t**3 - t**3)*(0 + 1 - 2).\nAnswer: -10*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 1831422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1751, 1750, 1749?\nAnswer: 1748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-4 - -3)) + (3 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k**3 - 7*k**2 + 9*k + 6. Let x(s) = -7*s**3 + 13*s**2 - 19*s - 13. Let g(p) = -5*i(p) - 2*x(p). Let f be g(8). Solve 3*w + f = w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, -6, 0.2, 0.6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -110001 (base 2) in base 12?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 11*l**2 + 5*l + 18. Let x(s) = 10*s**2 + 4*s + 17. Let v(m) = 5*n(m) - 6*x(m). Let q be v(4). Let y = 87 - q. What are the prime factors of y?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v. Let h(j) be the second derivative of j**4\/12 - 5*j. Calculate h(i(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3453 or -3456?\nAnswer: -3456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 - -318. Let h = l + -2425\/7. Let z = -7.4 + 7. Which is the nearest to 1\/4? (a) z (b) h (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 33 = -x, -5*x + 8 = d - 13. Let o be (-1 - -1)\/(8 - d). Solve 2*z + o*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 39*q + 38*q - 393, -524 = -4*l + 5*q. What is the greatest common divisor of l and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -6\/7 (b) -112 (c) 87 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k - 2. Suppose -2*b - 3 = -3*b. Suppose 4*t + 0*t + w - 11 = 0, 5*t - b*w = 18. Give v(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -18?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -12. Let f = -9.94 - r. Let l = 0.94 + f. Is 7 <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 + 0*z**3 + 4*z**3)*(15*z - 10*z + 18*z) + 3*z**4 - 2*z**4 - 4*z**4.\nAnswer: 112*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 102*b**2 + 150*b + 24. Is z(-7) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 5 (b) -1 (c) 14 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4961?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**5 - 3970*f**4 - 1062270*f**3 - 96213320*f**2 + 533629355*f + 173566050210 = 0 for f.\nAnswer: -259, -54, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5 + 1 = 0. Suppose -2*z - 3*p + 7 = 0, 0 = t*z + 4*p - 5*p - 5. Suppose -h - 11 = -2*a, z*h = 5*a - 2*a - 17. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*b**2 + 2*b**5 + 17*b**2)*(-113 - 237 - 9 - 29 - 182).\nAnswer: -1140*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -67.49 - 0.51. Let r = i + 68. Let h = -0.03 + -0.37. Which is the biggest value? (a) r (b) h (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 104*s**2. Let c(o) be the first derivative of -o**2\/2 + 31. What is n(c(p))?\nAnswer: 104*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-43 - 30 - 10)*(y - 3*y - 2 + 6) to f + i*y and give i.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -504\/815 + 3\/163. Put o, -0.8, 3 in descending order.\nAnswer: 3, o, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.97 * -279.86.\nAnswer: 1111.0442","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 24*a. Let d be r(5). Let l(g) = -g**3 - 6*g**2 - 6*g. Let y be l(-5). Suppose -z - y = -2, -5*n = -5*z - d. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29452 - -29455. Suppose -12 = 2*k - 3*k. Put k, f, 2\/9, 0.1 in descending order.\nAnswer: k, f, 2\/9, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 60*s + 5*b - 61009 + 62254, -2*s - b = 34 + 5 for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1118 - 4?\nAnswer: -1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3)*y\/y**(2\/5)*(y\/(y\/(y\/(y*y*y*y**(-1\/8)*y)))*y)\/((y*y*((y\/(y\/(y*((y*y*y**(-1\/12)*y*y)\/y)\/y)))\/y)\/y*y*y*y)\/y) assuming y is positive.\nAnswer: y**(-1103\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -249 + 267. What is the remainder when 55 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*((sqrt(297) + sqrt(33) - sqrt(33)) + sqrt(33)) - sqrt(1188)*-4)\/(sqrt(891) + sqrt(891)*-2 + (1*sqrt(77)\/sqrt(7) - sqrt(11))))**2.\nAnswer: 1024\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*k - 22, -5*b = -4*b + 5*k - 2. Let -37*y**4 - b*y**5 - 22*y**4 + 9*y**3 + 74*y**4 - 15*y**2 + 3*y = 0. What is y?\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 0, -2*r + 13 = 5*f + 3. Sort 0, 4, 7, f.\nAnswer: 0, f, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -7*g - 2. Let s = 2 + -4. Is g at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 6*t**2 - 12. Let z(u) = -1. Let h(q) = a(q) - 12*z(q). Let k(s) = s + 1. Let r(x) = 10*x + 12. Let f(p) = -12*k(p) + r(p). Determine h(f(b)).\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/2889 and -73\/9.\nAnswer: 2889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t\/t**(1\/19))\/t**(-13)*t**(-8\/3)\/(((t**(-2\/15)*t)\/t)\/t))**(-5\/12) assuming t is positive.\nAnswer: t**(-1027\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.117622 + 12895.3864?\nAnswer: 12895.504022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 6:47 PM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37027 divided by -6.\nAnswer: -37027\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1004 (base 6) to base 11\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of x**6\/15 - 2*x**5\/5 - 13*x**4\/5 + 88*x**3\/15 + 248*x**2\/5 + 448*x\/5 - 1471. What is y in p(y) = 0?\nAnswer: -2, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -l**6\/180 + l**5\/40 + l**4\/6 - 4*l. Let j(o) be the third derivative of s(o). What is the derivative of j(n) wrt n?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, -4\/5, 3, -2, 6\/11, 19.9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -8 + 0 - 10*r + r**3 + 0 - 6*r**2 + 9*r. What is a(6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7061969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -9*o - 74. Let h be q(-8). Sort h, -57, 3.\nAnswer: -57, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 297 + -138. Calculate the remainder when s is divided by 588\/35 + 36\/(-45).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24 + 59 - 18 - 19 + 623*s as h*s + f and give h.\nAnswer: 623","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 123\/14257 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 192 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 7*l**2 - 514*l + 1684. Calculate h(70).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 6:48 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 107, 162, 217?\nAnswer: 272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of x**5\/20 - 5*x**4\/12 - x**3\/6 + 3*x**2 + 2*x. Let k be ((-2)\/(-2) - -4)\/(-3 + 4). Calculate n(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -127026 or -60?\nAnswer: -127026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6915*o + 266 + 351 - 617 + 6905*o.\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 30862593*v**3 - 70158459 wrt v.\nAnswer: 92587779*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 304, 279, 226, 139, 12, -161, -386, -669?\n\"Answer: -o**3 - 8*o**2 + 6*o + 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 4*c**2 + 7*c - 5. Let z be m(2). Calculate the highest common divisor of 3 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + ((-13 - -1)\/(-2) - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -j**2 - 338. Let s(y) = -148 + 148 - 15*y. Determine s(l(n)).\nAnswer: 30*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 + 29 = -i, 0 = -3*k + 3*i + 15 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five quarters of a year?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 672690 and 7937742?\nAnswer: 39688710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -5*g + 4*c, 0 = g + 4*g + 2*c - 23. Suppose 2 = -2*k, g*k + 7 = 2*a - 6. Suppose -2*s - a = 2*s. What is the closest to s in 1\/3, 2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k - 4. Let a be (-8)\/7 + (24\/21 - 1). Let o be 2 - (a - (-5 - 6\/(-3))). Calculate i(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1548 and 192812?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y - 1. Let z(s) = -1. Let f(n) = -n - 5. Let x(o) = 2*f(o) - 11*z(o). Determine 3*q(m) + 4*x(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22052.6ml to litres.\nAnswer: 22.0526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 3*j**2 + 3*j - 5. Let m be c(-4). Let x = m - -67. Let n = x + -30. Calculate the highest common factor of n and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 1:55 PM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1408794726*d + 1408794726*d + 11*d**2.\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/9 - 2136\/(-108)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -212 + 235. Suppose -9 = 7*a - x. Solve -a*g + 37 = 47 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/5 + 5458*f\/5 - 1380292\/5.\nAnswer: 2*(f - 233)*(f + 2962)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l - 7*l + 12*l)*(0 + 0 - l).\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of v**8\/240 + v**6\/60 - 2*v**3\/3 - 8. Let c(n) be the third derivative of q(n). What is the third derivative of c(f) wrt f?\nAnswer: 168*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 116 and 130\/845 - 48\/(-26)?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m**2 + 14*m**2 - 10*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k = -13*k + 2. Suppose -28 = 9*g - k*g. Is 24 a factor of 271 + -14 - 3\/(3\/g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 338.28206 rounded to the nearest 10?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q**0*q*q)\/q)*q*q**(-1\/4)\/q)**(-2\/59)\/((q\/(q\/(q*q**6)))\/(q\/q**(-3)))**(-30) assuming q is positive.\nAnswer: q**(10621\/118)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20330 - -12?\nAnswer: 21002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 27877 or -1.086?\nAnswer: 27877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 14. Let s = -9.9 + v. Is s at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3040318820 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 10:36 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 183 - 182.6. What is the nearest to 2 in q, 6, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000796 rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7335345 to the power of 1\/2, to the nearest integer?\nAnswer: 2708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3140?\nAnswer: 2, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a meter in millimeters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1695 and 911055.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -n**5\/60 + n**4\/6 + n**3\/6 + 24*n**2. Determine c(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 8:16 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -26*p + 130. Let y be d(5). Suppose -2*l - 5*f + 32 = -l, -l + 2*f + 32 = y. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -86ed - -133?\nAnswer: -85ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1922.4 days to milliseconds.\nAnswer: 166095360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 593 divide 767935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 58*b + 17. Let f(v) = 2*v + 1. Let l = 217 + -218. Let i(o) = l*u(o) + 4*f(o). Differentiate i(j) wrt j.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -20*s + 1. Let n(t) = -3*t**2 - 71*t + 27. Let d be n(-24). Let r be ((-12)\/(-36))\/((-1)\/d). Calculate o(r).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 722\/9 + -80. Let f = 491 + -267. Let g = f - 217. Which is the second smallest value? (a) g (b) 2\/5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {l: 2, f: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 26.66234, -0.011 in increasing order.\nAnswer: -0.011, 5, 26.66234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7931677618 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**13)\/(((s**(-10\/7)*s*s)\/s)\/s))\/((s*s*s*s**(-2\/21)*s)\/s**(-7\/6)) assuming s is positive.\nAnswer: s**(145\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 1 = 5. Let y be (b - -1) + 13*2. Suppose 0 = -4*s - 5*j + 75, 3*s = -3*j + 30 + y. What is the remainder when 43 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f + 1. Let d be h(0). Suppose 2*a = -d + 21. What is the highest common factor of 60 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2256, 1794, 1064, 66, -1200, -2734?\n\"Answer: -134*t**2 - 60*t + 2450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 790, 3710, 8790, 16030, 25430, 36990?\nAnswer: 50710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39 - 56 + 92*h + 17 + 965*h**4 + 414*h wrt h.\nAnswer: 11580*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 6*i**3 - 1762*i**2 + 4657*i - 313. What is v(291)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-26580)\/(((-4)\/(-39))\/(-2)). Let h = b - 288310. Round h to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.3 (b) 14 (c) 61\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/2 of a millennium in centuries?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10625362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5972\/18 - (-9 + 4). Let u = h - 337. Sort -32, -3\/7, u in decreasing order.\nAnswer: u, -3\/7, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/7))**(-41)*(x**(-1\/2))**(2\/43))\/(((x\/(x\/(x**(2\/7)*x)))\/(x*x**(-1\/3)*x*x))\/(x\/((x**(-2)*x)\/x)*x**(3\/7))) assuming x is positive.\nAnswer: x**(14900\/903)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: Is 761219413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61842 is divided by 93?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1850.8 + -1851. Let v = 29 + -6. Sort o, 2, v, 1.\nAnswer: o, 1, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -43530*g + 929. Is f(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 273, 1 in ascending order.\nAnswer: -1, 1, 5, 273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -284.173 - -284. Let s = 0.273 + f. Is s less than or equal to -72?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - k - 6 = -16, -5*k + 14 = 2*y. Let j be 4\/(-2*(-2)\/(-4)). Let g be (j\/(-70))\/(1\/5). Which is the closest to g? (a) y (b) 0.2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 1:22 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4*j = -11 + 37, 3*n = 2*j - 4. Solve -4*g + l = -3*g + 3, -n*g + l - 1 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3555, -6977, -10183, -13065, -15515?\n\"Answer: 18*k**3 - 3548*k - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-2\/11)*s)\/s*s)**(-4\/33) assuming s is positive.\nAnswer: s**(-80\/363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 888708358.\nAnswer: 2, 2239, 198461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 5\/50086 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1ee53a - -3?\nAnswer: 1ee53d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gdddgddg. Give prob of picking 2 d and 2 g.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2. Let v(j) be the first derivative of 7*j**2\/2 - 7. Calculate v(h(t)).\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*v - 78 + 47 = 214 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -46.\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*h = 0. Suppose h = -m + 159 - 62. Is 38 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (44 - (-30 + 63)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 16 = -y - 230, -q + 132 = -5*y. Suppose -2*b + 374 = b + m, -b = m - q. What is the least common multiple of (-2)\/(-8) - b\/(-8) and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 761867 and 112.\nAnswer: 85329104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d = -0*d + 65. Let s(t) = -t**2 + 6*t - 1. Let p be s(d). Solve -3*b = -p*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40 + 34. Let q(r) = -2*r**2 - 9*r**2 - r**3 + 4*r**2 - 5*r + 0*r**3 + 7. Calculate q(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 836779?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8027153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 215\/(-45) - 8\/36 - -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2583.1014 hours in days?\nAnswer: 107.629225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5, 23, 63, 131, 233?\n\"Answer: o**3 + 5*o**2 - 4*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-44)\/16 + 6\/8. Let v be -2*((-15)\/10 - z). What is the tens digit of (34\/8)\/(v\/(-20))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3181818 or -3181814?\nAnswer: -3181814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -551 + 295. Let a = u + 264. Solve -3*g = -a*g + 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-11)\/(-3) + -5)\/(4\/(-258)). Let f(j) = j**2 + m*j - 86*j. Let x(h) = -1142 + 1142 - 12*h. Give f(x(k)).\nAnswer: 144*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8718679 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1564147 - 7863.\nAnswer: -1572010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 2\/6004191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2687, 5, -59 in descending order.\nAnswer: 5, -2, -59, -2687","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**2 - 240*m + 35698. What is a(-206)?\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*a = -197, 0 = -s - 3*a + 2 + 165. Suppose -n + 1409 = s. What are the prime factors of n?\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 355946 divided by -288.\nAnswer: -177973\/144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2698806 is divided by 21590?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -601705 divided by 78?\nAnswer: -46285\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19129 and 12173.\nAnswer: 133903","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 69, 187, 349, 549, 781, 1039, 1317?\nAnswer: 1609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10567992?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/(-390) + 4\/20. Find u, given that -2\/13*u**3 - 4\/13*u**4 - 2\/13 + m*u + 6\/13*u**2 = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of 13*o**6\/10 - o**3\/2 - 15*o**2\/2 - 10*o - 3. What is the second derivative of s(j) wrt j?\nAnswer: 468*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48172 - -16575. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4006349\/870 - 4605. Let q = l - -121\/4350. Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3232 and 416?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 8. Suppose -2466*x + 12 = -2460*x. Sort -11, 1, f, x in descending order.\nAnswer: f, x, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.6504 + 4.6504. Let x = -164 - -164.119. What is the biggest value in r, 3, x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-42)*(-7)\/6?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.022 and -6.\nAnswer: 0.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 7*l + 18. Let d(q) = 2*q + 6. Let a(i) = i + 3. Let y(o) = -5*a(o) + 2*d(o). Let s(m) = 39*y(m) + 6*z(m). Is s(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, i: 1, w: 5, p: 6}. What is prob of sequence dwd?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**2 - s + 1. Let y(h) = h**2 - h + 1. Let v(o) = -u(o) + y(o). Let b be (2\/2*0)\/3. Let t(n) = -n - n + n + b. Calculate v(t(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1170 and 510.\nAnswer: 19890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 7*a - 12. Let w(p) = -p**3 + 3*p**2 + 2*p - 1. Let q be w(3). Put q, 13, a in ascending order.\nAnswer: a, q, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.74 - 0.34. Let j be ((-1)\/(-2))\/(22\/8). Suppose -3*i - 2 = -3*o + 19, -3*i - 6 = 2*o. What is the nearest to j in u, 1\/2, i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58 and 1826827073?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -62.5 - -415.5. Let d = g + -353.181. Round d to 2 decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4*v**2 - 45*v - 3. Let q(t) = t**2 - 11*t - 1. What is 2*a(n) - 9*q(n)?\nAnswer: -n**2 + 9*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21*(-1)\/4*-4. Suppose -4*h = 3*h + l. What is the units digit of 37\/h*1*-3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -218, -442, -666, -890, -1114?\nAnswer: -1338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (7 - 11) - 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -9*r**2 - 2. Let a(s) = -s**3 + s**2 + 71*s + 4. Let t be a(9). Let b(l) = 4*l**2 + 1. Determine t*b(n) - 2*z(n).\nAnswer: -2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of y**4\/6 + y**3\/3 - 2*y**2. Let c be x(2). Suppose -h = -c + 2. Calculate the highest common divisor of 64 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -0.10421.\nAnswer: -1.10421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11233 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: Calculate 53 divided by 988033.\nAnswer: 53\/988033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.4, -0.048, 4\/675 in increasing order.\nAnswer: -0.4, -0.048, 4\/675, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1075 (b) 5 (c) 2\/7 (d) 2 (e) 88\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3171.2 - -3171.138283. Let a = u - -0.0612. Round a to five decimal places.\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -233, -386, -401, -206, 271?\nAnswer: 1102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*d + 20*d + 4*f - 3 = 3, 5*f = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3*v - 2)*(-80*v + 38*v - 3*v + (-1 - v + 1)*(-2 + 2 - 2) + v + v - 3*v)*(-2 - 3 + 1)*(6*v - v + 9*v) to d*v + a + b*v**3 + z*v**2 and give b.\nAnswer: 7392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 17*h - 73. Let r be c(6). Suppose 10*x - 51 = -3*m + 9*x, x = 2*m - r. Solve 5*y - o = -29, 4*y = -0*y - o - m for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 796304213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 118*t. Let y(z) = 2*z. What is g(y(k))?\nAnswer: 236*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 863256959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 + 3. Let d = c + -37. Let z(s) be the second derivative of -s**3\/6 + 3*s**2\/2 - s. Let t(y) = -y + 3. Determine d*z(r) + 2*t(r).\nAnswer: r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 33032575529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -87905610 by -976729.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -82 - -102. Solve m + 15 = 7*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 68788*z + 10889. Is p(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4603\/1257 + -2\/419. Let d = 7\/5 + -13\/20. Which is the nearest to -1? (a) -4 (b) h (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 556119103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 3.99. What is the second biggest value in -5, o, 5\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18288*p**4*t - 160*p**4 - 6*p**3*t - 2*p**2*t - 315337*p**2 + 3*t + 4 wrt p?\nAnswer: 438912*p*t - 3840*p - 36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 542388 is divided by 2039.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -11612, -3, 0, 4 in decreasing order.\nAnswer: 24, 4, 0, -3, -11612","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z - 21. Let i be o(8). Suppose i*w - 5 = 4. Suppose w = -2*m + 7. Let g(s) = 2*s - 3. Let b(r) = 4*r - 6. Calculate m*b(j) - 5*g(j).\nAnswer: -2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -5*s**3 + 2*s**2 - 3*s - 1. Let y be 4\/(-1) + 5\/5. Is w(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllllllll. What is prob of sequence llll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*j**5 + 9*j**3 - 2*j**2 + 222*j + 6 wrt j.\nAnswer: 220*j**3 + 54*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -9*l**2 - 2*l - 9. Let x(k) = 17*k**2 + 2*k + 17. Let g(h) = -8*h**2 - h - 8. Let z(j) = -7*g(j) - 3*x(j). Give 4*y(m) + 7*z(m).\nAnswer: -m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6253 * -73.\nAnswer: -456469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*r - 33*r = 1456 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(14)\/sqrt(2) + sqrt(7)) + -3)**2.\nAnswer: 24*sqrt(7) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17118890 is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 1 + 0 = 0. Let y(z) = 1 - 5*z**3 - 25*z + 25*z - z**3. What is the units digit of y(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -757 - 830 = 341*b + 118 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from diitiiidiitttttiiii. What is prob of sequence tdt?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -24*u - 548. Let p be q(-25). Solve -124 = 44*n + p for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1847424.\nAnswer: 2, 3, 17, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/3 in 4\/5, -0.33, -1\/6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 5*s**2 + 8*s - 31. Let g be h(-7). What is the greatest common divisor of g and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2471706897?\nAnswer: 3, 11, 641, 116849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 10:54 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + -4. Suppose 19*l = -0 + 114. Calculate the remainder when a is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 3*o**2 + 3*o + 1. Let j(z) = 5*z**3 - 11*z**2 + 12*z + 3. Let n(b) = -2*j(b) + 9*m(b). Determine n(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -1. Let s(d) = -d**2 - 3*d + 11. Let n(f) = 6*h(f) + s(f). Let p(c) = c**3 + c**2 - c + 4. Let y be p(0). Suppose -y*b - 2 = 14. What is n(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -3921, 6, -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.21 + -0.99. What is the closest to -1\/2 in v, -4\/5, 3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4c (base 13) in base 11?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68 and 162883069?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-35)\/36 - 39\/(-52). Let u = -1 - -0.6. Which is the closest to 1\/4? (a) l (b) u (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + 26. Suppose 0 = 3*y - a + 19. Let f = y - 2. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 22042?\nAnswer: 22041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 23*(14 + (1 + 39)\/(-5)). Solve w*f = 136*f - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(-3 - (-47)\/(-2)). Let y = 74 - v. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264*t - 3087*t**3 - 264*t.\nAnswer: -3087*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*i - 4*k + k, i - 4 = k. Suppose -99 = -i*w - 0*r - 4*r, 2*w - 33 = 5*r. What is the remainder when 36 is divided by w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 8:33 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -238, -420, -602, -784, -966?\nAnswer: -1148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 91*n**2 - 362*n + 680. What are the prime factors of f(-83)?\nAnswer: 2, 167, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43.7 - 44. Sort -1\/3, 4, 2\/3, x in decreasing order.\nAnswer: 4, 2\/3, x, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 18*u**2 - 19*u - 33. Calculate x(19).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -62*o - 44. Let v be p(-4). Let k = -2268\/11 + v. Which is greater: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 581309498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of 2661*j**5\/10 - j**3\/3 + 621*j**2\/2 + 2476*j. Find the second derivative of s(l) wrt l.\nAnswer: 31932*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5*o**2 - 33*o. Let x(s) = 5*s. Give x(k(b)).\nAnswer: 25*b**2 - 165*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 8*w - 141. Calculate c(14).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k + 2. Let d be x(2). Let h(b) = -b**3 + 8*b**2 + 9*b - 6. Let j be h(9). Let o = j + d. Sort -4, 3, o in decreasing order.\nAnswer: 3, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -0.5 (c) 60\/71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) 16 (c) -3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-300)\/(-4)*(-78)\/(-234).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u**2 + 10*u - 73. Let m be j(11). Suppose -m = -12*o + 4*o. Is 2 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*n**3*q*u**3 + 2*n**3*u - 8093153*n*q + 2*q*u**3 + 11383*u**3 wrt u.\nAnswer: 24*n**3*q*u + 12*q*u + 68298*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 3*r**2\/2 + 10. Let z(x) = -5. Let a(l) = l**2 + 4. Let n(g) = -5*a(g) - 4*z(g). Calculate n(o(t)).\nAnswer: -45*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342016295 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 32*x**3 - 16*x**2 + 9*x + 21. Is n(5) a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2147?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 33 = 2*n, -65 = -3*n + 15*a + 322 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -145, -3.\nAnswer: -145, -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 261895 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-7) - 2 - (-186)\/217. Let m be ((-1)\/(-2))\/(5\/(-30)). Put i, m, 2, 4 in descending order.\nAnswer: 4, 2, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-4) - 3) + (-5 - -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9439861 and 321.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -3, -1, -2\/3, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.4 + 3.35. Let b = 0.65 + -0.5. Let h = b + l. What is the nearest to h in -2\/13, -1\/6, -6?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -84, -83, -92, -117, -164, -239, -348?\n\"Answer: -x**3 + x**2 + 5*x - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2545 greater than or equal to -2545?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 23\/2*d**2 - 1\/4*d**4 + 1\/80*d**5 + 2*d**3 - 26 + 0*d. Let q(x) be the second derivative of w(x). Factor q(k).\nAnswer: 3*(k - 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 11 - 17 = 0. Suppose -2*v - 11 = -o. Is -1 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m**1*m)\/m*m)\/((m**1\/m)\/m))\/(m**(1\/4)*m**(-6\/11)\/m))\/(m**7\/m**(3\/4))**(9\/5) assuming m is positive.\nAnswer: m**(-131\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4197*-0.52.\nAnswer: 2182.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3578\/11 (b) -5 (c) -2\/9 (d) 2 (e) 10 (f) -2\/15\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + i**2 + 4*i - 4. Let k be m(2). Suppose 3*c - 2*v - 3*v - 29 = k, -5*c + 4*v = -31. Differentiate -3 + 22 + 867*z**3 - 889*z**c wrt z.\nAnswer: -66*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65 + -65. Suppose u = -29*l + 15*l + 5642. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/(38\/(-12))*2\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j - 263 = 1. Let r be ((-4)\/(-18))\/(j\/33). Which is the fourth smallest value? (a) -12 (b) r (c) 1 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -130 + 130 + k. Let i(d) = -d**2 + 4*d. Let b(c) = -3*i(c) + 15*t(c). Solve b(g) = 0 for g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.06 - 3.06. Suppose 2*i - 17 = -5*f, f - 4*i = -2*f + 5. Let t = f + -2. What is the nearest to -0.2 in -3, t, b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*r = -60, -2*r + 6*r + 44 = 3*t. Suppose -3*m + t*m = -240. Let k be -1 + (-2 - m\/15). Which is bigger: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 3:54 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 6.190319mm?\nAnswer: 0.000006190319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 274798673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a week in minutes?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5252, -5490, -5720, -5942?\nAnswer: -6156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*u + 2*z, -5*u + 8*u - 16 = 5*z for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14005455 + -11?\nAnswer: -14005510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 3*u**2 - 3*u + 5. Let b be p(2). Let w(i) be the first derivative of -2\/3*i**b + 0*i - 1 + 0*i**2. Let s(n) = 3*n. Determine w(s(a)).\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.4 (b) -1\/4 (c) -2 (d) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37051646*i**2 - 71551498.\nAnswer: -74103292*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 6*v = -297. What is the remainder when v is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 0*v = -2761. Suppose 0 = -q - 0*q + v. List the prime factors of q.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49.067 + -0.067. Let a = 56.6 - c. Let n = a - 2.2. What is n rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17655178958 - 17655179078.99999859. Let a = w + 121. What is a rounded to seven dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 402104 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117, 104, 91, 78, 65?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2014*a**2*z**3 - 79*a**2*z**2 - 254385*z**3 wrt a?\nAnswer: 4028*a*z**3 - 158*a*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 3*z + 3. Let f(d) = d + 6. Let l be f(2). Suppose l*j = -0 + 24. Is c(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24971567 and 3.\nAnswer: 74914701","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230 (base 8) to base 6.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 147 and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 213642 and 213528 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -91 - -165\/2. Let j = -96 - -204. Suppose 12*o = -0 - j. Is f less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**3 + 5*d**2 + 6*d - 4. Let i(z) = 7*z**3 + 11*z**2 + 13*z - 8. Let l(m) = 2*i(m) - 5*r(m). What is the units digit of l(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3239*x + 9960. Calculate q(3).\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + (2 - 5 - -1). Suppose 2*q + t = 16. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 12:13 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22579990.96344266 + 22579999. Let f = l + -0.03654434. Let a = -8 + f. What is a rounded to 6 decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 10:16 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 2 + 5. Suppose q + 44 = k*q. Let x = q + -8. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30168, 120743, 271710, 483075, 754844, 1087023?\nAnswer: 1479618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4954 - -6809. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of 3003*h**4\/2 - 433*h**2\/2 + 7*h + 169. Find the second derivative of b(q) wrt q.\nAnswer: 36036*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -0.4, -22, 0.2, 0.02?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + -9. Let o = v - -7. Let n be (-15)\/o - 3\/4. Solve 2*k = -c + 3, -4*k - 3*c = -k - n for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10010 (base 2) to base 7\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -29 + 23*q + 18*q - 21*q + 13*q + 7*q. Does 32 divide h(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (5 + 97\/(-5))*(-20)\/6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*o - 2*o - 13 = 0, 32 = -d - 4*o. Let n(x) = -x**3 - 12*x**2 - 5*x - 12. What is the tens digit of n(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/20916 and 37\/9168180.\nAnswer: 27504540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of l**4\/2 + 2*l**3 - 7*l + 15. Let z(t) be the first derivative of q(t). Find the second derivative of z(x) wrt x.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(75) + 1)*-3 + (-1 + sqrt(27) + -1 - (-3 + sqrt(108)\/sqrt(4) - sqrt(27))))**2.\nAnswer: 168*sqrt(3) + 5296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -182a (base 11) to base 10\nAnswer: -2331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + -2*sqrt(99)*-1 - sqrt(99))\/(-1*sqrt(36)\/sqrt(4)).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(4200) - sqrt(4200)*-1) + sqrt(168)\/(sqrt(4)*-1))\/(sqrt(864) - (-2*sqrt(864) + sqrt(864)) - 1*sqrt(384)))**2.\nAnswer: 2527\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -5*d + 8. Let z be j(4). Let y = z - -13. Solve -y = u - 0*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/32886 and -5\/129837.\nAnswer: 1423273194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 3*q - 4. Let s(i) = -i. Let p(n) = -k(n) + 2*s(n). Let m be p(0). Suppose -o - 63000 = -m*o. What is o rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -37.90019 and -58.\nAnswer: 2198.21102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2267*t - 2272*t - 2261*t + 6798*t. Let s(d) be the second derivative of 0*d**3 - 11\/12*d**4 + 0*d**2 + d + 0. Give g(s(q)).\nAnswer: 22*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5953691\/5 or 1190737?\nAnswer: 5953691\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1786 is divided by 161?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d + 12. Let g be i(-8). Let n(o) = -19*o - 17. Let p be n(-1). Suppose 3*t - 4*b + p*b = 2, 0 = -g*t + b - 4. Which is smaller: t or -22\/9?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, l: 7, p: 1}. Give prob of picking 2 l.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 139 - 116. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.7 - 0.4. Let r = -11.9 - -11. Let s = 0.8 + r. Put 2, n, s, -1\/4 in decreasing order.\nAnswer: 2, n, s, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 910204 is divided by 2853?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 157168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 459*h*t**4 + 3*h*t**3 - 30*h*t**2 + 18*h - 2*t**5 wrt t.\nAnswer: 11016*h*t + 18*h - 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/35? (a) -3 (b) 0.4 (c) 0.02 (d) -6\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 5*g = 4*j + 374, 5*j = -2*g + 617. Does 15 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -3\/928, 0.8, -5?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*k - 10 = -218. What is the units digit of 1\/(k + 8)*1388?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b\/(b\/(b**4*b))))\/b**4 assuming b is positive.\nAnswer: b**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 103154205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 5 = 4*q + 1, 4*q - 4*n = 4. Suppose w = -2*b - 4, -7*b + 2*w = -2*b + q. Put 0, -4, b in decreasing order.\nAnswer: 0, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2115645*s + 2793*s**3 + 2115645*s - 12562*s**3.\nAnswer: -9769*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 19\/2 - (-40)\/(-8). Is i greater than or equal to 126?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1260 divided by 315.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -455314545 - -1?\nAnswer: -455314544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -346378, -347427, -348476?\nAnswer: -349525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/7? (a) -5 (b) -36 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*((-2)\/(-36))\/((-1080)\/3726) - 10\/15.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s**3 + 6*s**2 - 14*s + 8. Let r(p) = -2*p**3 - 4*p**2 + 9*p - 5. Determine 5*b(w) + 8*r(w).\nAnswer: -w**3 - 2*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.35 + 1.8. Let h = c - -0.05. What is the smallest value in -1\/5, 5, h?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from {p: 10, h: 2}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*x - 36*x**2 + 2*x**2 - 19*x.\nAnswer: -34*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, 4, -4, -0.0089, -0.06, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 101 = n, -4*m = -0*m + 3*n + 81. Which is smaller: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*q - 2. Let y(d) = -d**3 - d**2 + 2*d + 7. Let z be y(-3). Suppose z*u = 24*u - 40. Calculate the remainder when u is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1095610*w**5 - 296902366*w**4 + 3001779348*w**3\/5 - 21706632*w**2\/5 + 39312*w\/5 = 0. Calculate w.\nAnswer: -273, 0, 6\/1655, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-45))\/(576\/84240).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -g**7\/140 + g**6\/40 + g**5\/20 - g**3\/6 + 11*g. Let z(h) be the second derivative of t(h). Factor z(c).\nAnswer: -3*c*(c - 2)*(2*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 9*h**2 + 23*h + 5. Let u be j(-2). Sort -3, 373, u in ascending order.\nAnswer: u, -3, 373","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**2 + 21*k - 13. Let w be p(-9). Let y = 52 + w. What is the remainder when (-39)\/y*8\/(-2) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of 5*i**2\/2 - i - 3. What are the prime factors of w(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c - 2 - 4*c + 6*c**2 - 4*c**2. Let k be o(2). Suppose 0 = k*u - 93 - 11. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44 (base 11) to base 6.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -2 - 9 - -2 - -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3*(sqrt(1377) + (-4 + sqrt(1377) + 4)**2).\nAnswer: 27*sqrt(17) + 4130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m**2 - 42*m**3 + 49*m**3 + 2*m**2 as j*m + h*m**2 + a + v*m**3 and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 38161 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -38 in decreasing order.\nAnswer: 3, 1, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 59*u**2 + 8803*u - 2744841 with respect to u.\nAnswer: 118*u + 8803","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 130*j**3 + j**2 - 6*j**2 - 171*j**3 + (3 + j - 3)*(-1 + 1 + j**2) to n*j**3 + q*j + y + v*j**2 and give n.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of v**3\/3 + 3*v**2\/2 + 1. Suppose -3*m = 2*m + 20. What are the prime factors of r(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**4 - 11397*s**3 + 37402698*s**2 - 7397492860*s - 95502844941912 = 0.\nAnswer: -1269, 4222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -0.1, -24, 2\/7, -179, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -7. Let z = -10417\/12 - -868. Put -0.1, 0.2, f, z in increasing order.\nAnswer: f, -0.1, z, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -335, -338, -341, -344?\n\"Answer: -3*q - 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(1008)*-1*-3)**2 + -5 + 2.\nAnswer: 9072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**3\/3 + 68*v**2\/3 + 440*v\/3 + 208 = 0.\nAnswer: -26, -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 837 + 39 = 0. Calculate the remainder when p is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 376*d**4*v - d**2 + 10*d*v + 4 wrt d?\nAnswer: 9024*d*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q. Let p(h) = -4*h + 3. Let l(r) be the first derivative of -3*r**2\/2 + 2*r - 5. Let x(w) = 6*l(w) - 4*p(w). What is a(x(c))?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 2)*(2*j**3 + 4*j - 4*j) + (-j + 2*j**2 + j)*(26*j + 14*j - 215*j).\nAnswer: -352*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*w - 15*w + 55*w - 14 + 14 + 9*w + (-1 - 2 + 1)*(-3*w + 4*w - 2*w) + w - 3 + 3.\nAnswer: 65*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 39 = -93. Let t = -13 - p. Suppose -4*j + 3*k = k + 4, t*j = 4*k - 11. Let g(a) = -2*a**2 - 1. Calculate g(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100612313 a multiple of 288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105de (base 15) to base 14.\nAnswer: 14d15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5c6 + -14a?\nAnswer: -732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (495\/1100)\/(3\/(-5)). Let a = 4.95 + 0.05. Let k = 10 - a. What is the closest to 1 in k, 1\/7, z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 3*l - 2, 2*c + 4*l - 927 = -939. Let i be ((-1)\/(-2))\/(5\/(-4)). Is c at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 474 + -506 - (2 - (-3 + 3) - 3)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9 or 5992801?\nAnswer: 5992801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 538336?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 137920160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 8:58 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1882414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44*n**2*y**2 + 33*n**2*y - n**2 + 6123*n*y**2 + 2*n*y + 2*n + 90*y**2 + 38283*y wrt y.\nAnswer: 88*n**2 + 12246*n + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*n + 5*n + 4*n - 5 - 19*n in the form p*n + q and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5*b + 20 = 0, 4*q + 0*b - 18 = -3*b. Let w(r) = r**3 + 19*r**2 + 18*r + 18. What is the least common multiple of q and w(-18)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - 4*q + 12, 5*q + 27 - 67 - 14 = -6*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1, 1, -1, -5, -11, -19, -29?\n\"Answer: -j**2 + 3*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 601581, 2407196, 5416555, 9629658?\n\"Answer: 601872*j**2 - j - 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 48, 128, 222, 336, 476?\n\"Answer: f**3 + f**2 + 70*f - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -514.39741 - 0.04259. Round c to the nearest 10.\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of z**3\/3 - 5*z**2\/2 - 4*z - 2. Suppose -a + 35 = 4*a. Calculate the remainder when 29 is divided by p(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.05172 and 2.29622.\nAnswer: 2.2445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 81 - 85. Which is the third smallest value? (a) 3 (b) 0 (c) -2\/15 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627560461 rounded to the nearest one million?\nAnswer: 628000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -111\/98 + 2881\/2695. What is the common denominator of 109\/22 and g?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + (-1272)\/(-4) + -1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**3\/3 + 37*p**2\/3 + 296*p\/3 + 260\/3 = 0.\nAnswer: -26, -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -6*y**2. Suppose 0 = 2*x + x - 5*u - 33, -2*x - 2*u = -6. Let d(o) = o**2. Suppose 2541*k + 132 = 2545*k. What is k*d(g) + x*p(g)?\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u + 8. Let f = 4 - 9. Let d be r(f). Solve d*i + 0 = -9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**2 - 17*u**2 + 5*u**2.\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 1420 = -4*c. Let s = c - 182. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 764 divide 21018777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 165\/47 - 3889\/1081. What is the closest to -5.8 in a, -0.2, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1428, 2498, 4280, 6774, 9980, 13898?\n\"Answer: 356*a**2 + 2*a + 1070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11999 (b) 3\/4 (c) 27 (d) -1.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 (base 9) in base 12?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**2 + 9*x - 2. Let o be a(6). Let g = 24 + o. Differentiate -8*s**3 - 4 + 1 + 0 - g wrt s.\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 229266*f. Let b(n) = 4*n + 23. What is b(k(y))?\nAnswer: 917064*y + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1008) + sqrt(1008)*1 - (-1 + sqrt(1008) + 5 - sqrt(1008))) + -5 + -1*(1 + sqrt(847) - sqrt(847)))**2.\nAnswer: -432*sqrt(7) + 4113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a day in hours?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 29 + 11. Suppose n = -5*j, 56 = -4*n + m*n - 4*j. Calculate the greatest common factor of n and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(5\/4 + -2) + -3. Suppose -i*w - f = 503, 107 = -w - 3*f + 6*f. List the prime factors of (2\/(-4)*w)\/(3\/6).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.214 and -0.2.\nAnswer: -0.0428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -402033 divided by 3?\nAnswer: -134011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 4*f + 657 = -0*w + 525, 102 = -3*f for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 z, and 1 i when four letters picked without replacement from zdwrddwzrddwdri.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-200)\/(-6) + (3 - 1). Let d = 35 - b. Let c = -1037 + 1040. Is c > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - s - s + (7*s - 4*s - s)*(2 - 5 + 1))*((-2 - 2 + 2)*(-5 + 1 + 3) + 4 - 6 + 1).\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -1. Suppose 0 = 2*b - 0 - a. Let k be (b + 0)\/((-4)\/(-336)). What is the greatest common factor of k and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373 is divided by 606\/24 + 5\/(-20).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 - (0 + 6))\/(9 + -8). Solve -4*v - 10 = -2*r + 18, 3*r - 12 = d for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 26\/5 of a millimeter?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/5 of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q**(-20\/7)*q)\/q)\/q**(-16)*q**(1\/18)\/q*q**43*q)**(-4) assuming q is positive.\nAnswer: q**(-14414\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2751 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 129, 483, 1063, 1863, 2877, 4099, 5523?\n\"Answer: -u**3 + 119*u**2 + 4*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4 + -1*sqrt(612) + sqrt(612) + sqrt(612))**2.\nAnswer: 12*sqrt(17) + 613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 59 = -8*o. Let c(s) = -7*s + 3. Suppose 0*f + 2*f = -6. Let w(d) = -4*d + 2. Calculate f*c(k) + o*w(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 739 at most 738?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*m + 0*m + 0*m)*(1 - 3 + 0)*(1 + 1 - 1)*(-2 + 2 + 3) + (-m - 3*m + 3*m)*(5 + 29 - 7).\nAnswer: 21*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15075 and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 17*b + 73. Let h be z(10). Let u be 30\/(-4)*4\/(-5). Suppose -h*q - 5*a = -68, -a + 16 = q - u*a. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26237\/330040 - 2\/1115. Find the common denominator of v and 61\/444.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/(-90))\/(806\/(-744) + (27\/12 - 2))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1\/((o**(-1)*o*o)\/o))\/(o**(-2\/5)\/o)**(2\/31) assuming o is positive.\nAnswer: o**(169\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 1:36 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + 4*s + 20, 42*s = 43*s + 2 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 11:47 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/3 and (-230)\/36 - ((-5 - 4) + (-616)\/(-66)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.395 rounded to 1 dp?\nAnswer: -22.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -55*w**3 - 30*w**2 + 135*w - 50.\nAnswer: -5*(w - 1)*(w + 2)*(11*w - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 3*m**3\/2 - m**2 + 2*m. Let j be i(2). Let f = j + -9. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -33.754867469 and 0.2.\nAnswer: -33.554867469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/45))**3\/(g*g**6)**(2\/27) assuming g is positive.\nAnswer: g**(-61\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**10*w**(6\/5)*w)\/(w**(1\/8)*w*w**(-1\/23)*w*w) assuming w is positive.\nAnswer: w**(8389\/920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.9 - 14.1. Let w = -27 - p. Let t = 11.000004 + w. Round t to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 7*w - 40. Let p be y(8). Let h be (2 + 0)*((-1 - 0) + 2). Solve h*n = -14 + p for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, x: 2, t: 1, r: 4, e: 2}. What is prob of picking 3 r and 1 e?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 403 = 4*x - 349. Let a = x - 99. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -2465*l**3\/3 + 2255*l - 2884. Differentiate g(c) wrt c.\nAnswer: -4930*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1980000 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12630\/25)\/(((-8)\/(-16))\/((-5)\/26)). Which is smaller: -195 or l?\nAnswer: -195","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-3 - 3) + 8)\/((-2)\/(-183))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 59*n**2 + 92*n + 2078. Determine u(-60).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.23680572 and 5.\nAnswer: 5.23680572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -17780, -17781, -17782?\n\"Answer: -d - 17779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2058 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: Let d(a) = a**2 - 1. Let j = -348 - -347. Let q(b) = -33*b**2 + 66. Give j*q(z) - 66*d(z).\nAnswer: -33*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -8124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 r when three letters picked without replacement from wxrwwrw.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 110001111010110010000000 (base 2) in base 5?\nAnswer: 11322221244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2411, -4833, -7255?\n\"Answer: -2422*g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a + 2 - 2 + (-7 + 7 + a)*(-1 + 1 - 2) to the form d*a + q and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h**5\/6 - 35606*h**4\/3 - 71215*h**3\/6 + 71213*h**2\/3 = 0. Calculate h.\nAnswer: -2, 0, 1, 71213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 69815137 to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00051215 rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*p - 2*p - p)*(2 - 2 - 1 + (0 - 1 - 1)*(-3 + 2 + 3))*(66 - 219 - 31) in the form m + z*p and give z.\nAnswer: 2760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -11157 and -41.\nAnswer: -11198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16074 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**5\/60 - r**3\/3 + 7*r**2. Suppose -2*f + 3*h + 27 = f, -5*f - 5*h - 5 = 0. Does 5 divide a(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*d = -26*d + 376. Solve -s + 4*m = 4, 2*s = -0*s + 3*m - d for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/516 - -449\/1290. What is the common denominator of d and 123\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 + 35 - 12) + -2 + 2 - 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-138*d**3 + 48*d**3 - 7*d**3)*(-3*d + 7*d - 3*d + (3 - 1 - 1)*(-3 - 2*d + 3)) in the form o*d**3 + y*d + t + a*d**4 + j*d**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -17, 13, 3, 24, -4 in decreasing order.\nAnswer: 24, 13, 6, 3, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 450 = 2*v + 8, 5*v = -5*a + 780. List the prime factors of a.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**8*i)**(-46)\/(i**(-2\/27)\/(i\/((((i**(-6)\/i)\/i*i)\/i)\/i)*i)) assuming i is positive.\nAnswer: i**(-10879\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/13)*n)**(8\/15)*(n*n**(2\/9))**(-39\/4) assuming n is positive.\nAnswer: n**(-2981\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -0*c. Find the third derivative of -6*u**2 + 0*u**3 - u**3 - 4*u**3 + c*u**3 wrt u.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43 by 5.\nAnswer: 43\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 8*c**2 + 4*c + 5. Let u(s) = 16*s**2 + 6*s + 9. Determine 5*l(b) - 3*u(b).\nAnswer: -8*b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16627604?\nAnswer: 2, 7, 79, 7517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*b - 23 - 33. Let z(x) = x + 7. What is z(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1193265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -94 (base 14) to base 8.\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (81\/(-270))\/((-6)\/8)*-50.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(3\/(-2)))\/(((-4)\/(-42))\/((-102)\/(-42)))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 4 = -10*i. Let c(v) = -2193*v**3 - v**2 + 2*v. Let p be c(i). Let g = p - -3151. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (202 - 195) + (-1 - (-10 - -2))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 57 - 313*n**3 - 2*n**2 + 607*n**3 - 296*n**3 + (5 - 1 - 6)*(-2*n**3 + 3*n**3 - 3*n**3).\nAnswer: 2*n**3 - 2*n**2 + 57","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -168870*l**2*p + 2*l**2 - 210577*l + 4*p wrt l.\nAnswer: -337740*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13979238 and 137046?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.15, -4, -1549.\nAnswer: -1549, -4, -0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s**2 - s - 2. Let n(v) = -3*v**2 + v + 2. Let c be -1 + (0 - 2) + -3 - -3. Suppose 0 = -5*h + 3 - 23. Give c*n(d) + h*r(d).\nAnswer: -3*d**2 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + (8 - 3) - -7) + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, m: 5, q: 2, v: 6, e: 1}. Give prob of sequence vvql.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 144790 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: Solve 0 = -31*q - 31, -4*c + 54 = 3*q + 37 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 376326 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503094 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, n: 5}. What is prob of sequence npn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 106 + -130 - (-3 + 2)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000629219 rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -34*b + 416. Suppose -29 + 79 = 5*c. List the prime factors of v(c).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52291357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4070)\/(-85) - (-6)\/51. Let u = -1 - -7. What is the greatest common divisor of u and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38084 (base 10) to base 9\nAnswer: -57215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + 3178.7?\nAnswer: 3178.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(2*sqrt(2)) + sqrt(36)\/(2*sqrt(12)) + sqrt(3).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 61, 60, 59, 58?\n\"Answer: -j + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of 0*l**3 + 2*l + 0*l**2 + 0 + 1\/36*l**4. Factor b(s).\nAnswer: s**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2221407, 8885600, 19992589, 35542380, 55534979, 79970392, 108848625?\nAnswer: 142169684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29796 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**15)\/(t\/t**(-5\/3)))**(2\/7) assuming t is positive.\nAnswer: t**(-94\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3 = -5*h, h + 3*z - 2 = -4. Solve -2*m - 3*b = -14, 11 = 5*b + h for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**15*f*f))\/f**(-9))\/(f**(-1))**(1\/91) assuming f is positive.\nAnswer: f**(-636\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65862200*g*v**6 - 4*g*v + 2*g - 349*v**2 + v + 2497 wrt v.\nAnswer: 7903464000*g*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -66, -5, 6, 0, 738 in decreasing order.\nAnswer: 738, 13, 6, 0, -5, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/9 - 260308*p\/9 - 8470031858\/9.\nAnswer: -2*(p + 65077)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 7 = 2*f + u, -2 = f + 2*u for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 - 31. What is the closest to -2 in u, 0.3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -t - 3*t - 4*d, -d - 5 = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 129 + -18. 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 -3*i**2 - 2*i**2 - 265945 - 265935 + 531853 + 3*i**2.\nAnswer: -2*i**2 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 12:23 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16222 is divided by 88?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5306 + 1 + -2 + (-1 - 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208)\/sqrt(4) - (-1*sqrt(832))**2.\nAnswer: -832 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9\/197? (a) 97 (b) 7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - j + 0*j)*(25 - 1 - 8)*(1 - 1 - 8*j).\nAnswer: -128*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n\/n**(1\/4))**(9\/4)\/((n*n**(-1\/6)\/n)\/n**(-4\/11)) assuming n is positive.\nAnswer: n**(3163\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -50*w**2. Let p(m) be the first derivative of -2*m**3\/3 + 4*m + 3. Let c(k) = -3*k**2 + 5. Let v(x) = 4*c(x) - 5*p(x). Give d(v(j)).\nAnswer: -200*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 l when four letters picked without replacement from llllbblllbbbb.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 6) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 106.9 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 919918.\nAnswer: 2, 353, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121 - -21?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2)*w)\/(w*w\/(w**(-1\/7)\/w)))**31*((w\/(((w*w\/(w\/((w*w**3)\/w*w))*w)\/w)\/w))\/(w*w\/(w*w*w*w**(-2\/11))))**22 assuming w is positive.\nAnswer: w**(-1235\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -31527.8 + -2.98?\nAnswer: -31530.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8702, -34506, -76928, -135488, -209706, -299102?\nAnswer: -403196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 89, -522649 in decreasing order.\nAnswer: 89, 3, -522649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 9. Suppose 0 = -7*y - 30 - 12. Sort 0, y, -1, w in increasing order.\nAnswer: y, -1, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -915?\nAnswer: -1\/915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -5.02. Let x = 0 + c. Let m = -0.32 - x. Sort m, 4, -0.4 in descending order.\nAnswer: 4, m, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 f, and 1 s when three letters picked without replacement from {b: 1, f: 2, s: 1, e: 5, r: 7}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.3, -63\/64, -0.1, 1.\nAnswer: -5, -63\/64, -0.1, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 552*s**2 - 719*s**2 + 2366*s**2 - 3 - 552*s**2 - 547*s**2.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 489905760?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l + 1. Let m be t(1). Suppose -10 = 3*k + 11. Let q = 5 + k. Are m and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*g + 15, 3*w + 27*g - 80 = 23*g. What is the least common multiple of w and (-16)\/(-12)*(-6)\/(-4)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2225984*-5\nAnswer: 11129920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 1440*g**2 - 50*g + 156. What are the prime factors of f(3)?\nAnswer: 2, 3, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 88*u - 110. What is the tens digit of b(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -1\/4 (b) -2 (c) 138\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 - 22*b + 9*b + 10*b + 297 + 12*b - 6*b to the form l*b**2 + x + z*b and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m + 10. Give s(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/21)\/q*q**21 assuming q is positive.\nAnswer: q**(422\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 228842*u + 4576846. Calculate g(-20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-8))**34)**(4\/3) assuming t is positive.\nAnswer: t**408","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -36d (base 14) in base 12?\nAnswer: -491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-4)*168*(-43)\/(-2580)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (17 - 20)\/((-1)\/2497)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + ((-3)\/18 - 6)*-6. Suppose -d = -14*a + 22*a. Sort -9, -1, a, -2 in increasing order.\nAnswer: -9, a, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 5*g**2 + 4*g + 1. Let i = 7 - 4. Suppose 2*n = -3*t - 11 + 2, -t - i = 4*n. Is m(t) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4642, -4585, -4528, -4471, -4414, -4357?\nAnswer: -4300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = o - 1313 - 1461, 2*j = -o + 1849. Calculate the highest common divisor of 37 and j.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1884 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**3 + o**2 + 2*o - 1. Let j(f) = 77*f**3 + 6*f**2 + 6*f - 3. Give -3*h(s) + j(s).\nAnswer: 83*s**3 + 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 1 - (2 - 7)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - -64. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (0 - 6\/(-64))\/(918\/5100) and 49\/66.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265 is divided by 67.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-6)*1222\/141 - -16\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 23*j + 42. Let b be u(-21). Suppose 2*q = 4*k - 12, b*k + 12 = 4*k + q. Solve -4*l - k*v + 24 = v, -3*l = 4*v - 19 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/24 of a century?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -78 + 82. Suppose 5*g = a + 11, -2*a + 2*g - 2 = -a. What is the third derivative of a*f**2 - f - 5*f**i - f**4 + f wrt f?\nAnswer: -144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 > 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 505, 1057, 1609, 2161, 2713?\n\"Answer: 552*j - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 6)\/(-16) - 7\/4. Let v be y\/(25\/(-10) + 2). What is the nearest to 0.3 in -2, 2\/11, v?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11878\/27 - -440. Let i = 74759 - 74761. Sort -4, a, i in descending order.\nAnswer: a, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2\/8 + 976992*t - 636342245376.\nAnswer: -3*(t - 1302656)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 1719955 = 5*v, v = -4*v + 3*j + 1719955. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -n**5\/5 + 3*n**4\/2 - 3*n**3 + 2*n**2 - 56. Determine g so that j(g) = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -19*b - 5. Suppose -2*c + 9 = 21. Does 3 divide p(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 752251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - j**2 - j. Let g be y(0). Suppose -t - 4*t + 15 = 0. Suppose g = 5*q - 0*q + 3*z + 7, t*q + 5*z + 17 = 0. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50331985 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-27)\/(-54) + (-19)\/8. Let b = -2\/61 + -655\/488. Let j = b - f. Which is smaller: j or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*c + 60*c = -26*c + 928 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33 + 33 + 19*t**2)*(2 - 2 + 1) - t + 2*t**2 + t.\nAnswer: 21*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-39)\/15 + 3)*5. Suppose -6*c = -o*c - 24. Suppose -5 + 4 = -2*u + z, -3*u = -4*z + 11. Solve -p - c = -u*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2 + (-4 - -4) + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 0.05, -0.7, -11.\nAnswer: -32, -11, -0.7, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 - -33. Suppose 0 = -3*l - 3*j + 210, -j + 4*j = d*l - 318. What are the prime factors of l?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 15, 9, -1, -15, -33, -55?\n\"Answer: -2*y**2 + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.026 and -0.16.\nAnswer: -0.00416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3635 + 16\nAnswer: -3619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/((-396)\/(-27))*952\/102?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/30*-4)\/(4\/(-40)). Suppose -15*g + 3*k = -14*g - 1429, 5781 = l*g + k. List the prime factors of g.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -24 + 26 - 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3239, -6483, -9717, -12935, -16131, -19299, -22433?\n\"Answer: h**3 - h**2 - 3248*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(156)*3 - sqrt(156)) + sqrt(156))\/(sqrt(12) + 3*sqrt(300)) - -1*(sqrt(52) + (2 + sqrt(52))**2*5 + sqrt(52) - sqrt(52))*-2.\nAnswer: -560 - 1341*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 6 - -2 - (8 + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13764 and 1116.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.11 + 2.81. Let x = -2 + 0. Let a = x - -1. Put j, a, -3 in decreasing order.\nAnswer: j, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 40, 0.2, 8540\/11, 1\/8?\nAnswer: 8540\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o = -13*o - 7, 5*o - 254 = -k. Sort -5, 3, k, 1.\nAnswer: -5, 1, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18b2 (base 15) in base 3?\nAnswer: -21022212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(-3)\/3 - 28126. Let q be (-224)\/3*l\/6. Round q to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 867 divided by 3.\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -19*h**2 + 3580*h - 21. Let w(b) = 13*b**2 - 2387*b + 15. Calculate 5*l(t) + 7*w(t).\nAnswer: -4*t**2 + 1191*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 20, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2412)\/(-20) + 2\/(-15)*-3. What is the highest common divisor of h and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 - -0.8. Suppose -3*j = -b + 8, 3*j - 5*b + 3*b = -4. What is the second biggest value in -0.5, x, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121 + -45 + 168 + (-3)\/(126\/76)\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m + 25 = -18*m. Suppose 5*a - 26 = -h, -m*h = -3*a - 0*h + 10. Solve a*w + 4*d = -5, 3*w + d + 1 = -2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**(-2\/7))\/n**(-1\/3)*n**1\/n*n*(n\/(n\/(n*n*(n\/(n\/((n**(-2)*n*n)\/n)))\/n)))\/n*n)**(4\/11) assuming n is positive.\nAnswer: n**(304\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.003 + -8.303. What is g rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 196559 and -0.7.\nAnswer: -137591.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxt when three letters picked without replacement from vtvmvvxvvmxvcvc?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3096030 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -240, -0.02, -8, -154?\nAnswer: -240","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t\/(t*t\/(t\/t**(1\/7)))))*t)\/t)\/t**0*(t**(-1))**(6\/7)*(t*t**0*t*t)**(-4\/5)\/((t**0*t)\/t*t)**(-1\/3) assuming t is positive.\nAnswer: t**(-46\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(13) + 6*sqrt(13)*-2 + sqrt(117)\/sqrt(576)*-4)*6)**2.\nAnswer: -1656*sqrt(13) + 62037","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/10 and -61\/7204.\nAnswer: 36020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5892201 to the power of 1\/2, to the nearest integer?\nAnswer: 2427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -6*j + 51. What is i(12)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 135200232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-2) + 1)\/(((-78000)\/192)\/125). What is the nearest to 0.1 in -15\/19, z, 9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6270 = 195*l + 310*l + 540*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**5 + 222*s**4 - 899*s**3 + 1128*s**2 - 452*s.\nAnswer: s*(s - 2)*(s - 1)**2*(s + 226)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*m**3 + 101*m**2 + 2909*m wrt m.\nAnswer: -78*m + 202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25808 + -25805. Solve 2*f = 2*y + 4 - 2, 4*f = m*y - 1 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0684173 to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 491278109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33050182 by 1.\nAnswer: 33050182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127 - 248 + 121 - 654621*z.\nAnswer: -654621*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4865 + -2?\nAnswer: -4867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/6 + (-146)\/(-6). Let w = y - 25. Which is the second biggest value? (a) w (b) -5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 0.1 (c) 3.4 (d) 0 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 1013333?\nAnswer: 1013331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-70)\/(-22) + (-6)\/33 + 0. Let z(r) = 2*r**2 - 5. Let q(k) = -k**2 + 5. Let p(s) = 4*q(s) + 3*z(s). What is the remainder when p(a) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.1 - 0.1. Which is the closest to m? (a) 3\/2 (b) -3 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -6*q - 20. Let i be u(-6). Suppose 6*f - 2*f = -i, 0 = 3*c + 3*f - 30. Calculate the lowest common multiple of 24 and c.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -42\/95 and -22\/48225?\nAnswer: 916275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**8\/84 + 2*h**7\/15 + 3*h**6\/10 - 9*h**5\/5 - 9*h**4 - 6*h**2 - 47. Solve a(n) = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*g + g**3 - 6*g**3 + 10*g**3 + 84*g + 0*g**3.\nAnswer: 5*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**3 - 142628296*p**2 + 142628290*p + 285256588 = 0. What is p?\nAnswer: -1, 2, 71314147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*p**2 - 25*p**2 - 20*p**2)*(2*p**2 - 3*p**2 - 2*p**2) + (p + p**3 - p)*(3*p - 2*p - 3*p).\nAnswer: 88*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1558 + 5018. Is 6*(-3 + (-1)\/((-8)\/k)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -18. Suppose 5*q - 3*q - x = 0. What is the units digit of (-24)\/(-20)*10\/q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*n - 146264 + 146705 = 0 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 9 = 1. Let c = -7 + 18. Suppose -b*g = -71 + c. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-4) + (-11)\/(-10). Let k = 0.19 + -62.19. Let z = -65 - k. Is z greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mqqqmqqmqmmqqmmmqmmq. Give prob of sequence mq.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 11:57 PM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -49*c**6\/60 - 7*c**5\/40 + 55*c**4\/24 + 7*c**3\/12 - 3*c**2\/2 - 39*c. Determine z, given that b(z) = 0.\nAnswer: -1, -3\/7, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.720438 to 3 decimal places.\nAnswer: 1.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l. Let b(i) = -i**2. Give b(p(n)).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4690 times -13\nAnswer: 60970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 4*h - h + 2*h + 0*h + (0*h - h + 2*h)*(-2 - 1 + 7) + 2*h + 1 - 1.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18219647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m - 1. Suppose -25*c + c + 24 = 0. Let p(b) = b**4 - 10*b**2 - 5*b + 48. Let a(u) = c*p(u) - 5*h(u). What is the first derivative of a(j) wrt j?\nAnswer: 4*j**3 - 20*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53*w**6 + w**4 + 7*w**3 + 10*w**2 + 14*w.\nAnswer: -6360*w**3 + 24*w + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121989491.\nAnswer: 13, 9383807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 836676601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -94, -87, -70, -37, 18, 101?\n\"Answer: i**3 - i**2 + 3*i - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3180 and 159?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 11:05 AM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1361285178 to the power of 1\/2, to the nearest integer?\nAnswer: 36896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 133, 276, 441, 634, 861, 1128, 1441?\nAnswer: 1806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47628, 48040, 48466, 48912, 49384, 49888?\nAnswer: 50430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -24e?\nAnswer: -24e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.22 - 0.22. Is u smaller than 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 5*d. Let h(a) = a**2 + 4*a - 5. Let f be h(-5). Solve f = o - d*o - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i + 503*i**2 - 507*i**2 - 33*i.\nAnswer: -4*i**2 - 24*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -4. Suppose -d = u - 5. Find the first derivative of -4*o - 3*o - d + 6 wrt o.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -4*n**2 + 5*n**3 - 2*n - 2 + 0 + 0*n**2 + 6*n**2. Let i(g) = 5*g**3 + 3*g**2 - 3*g - 3. Determine 3*a(y) - 2*i(y).\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/21)\/2*30\/(138\/23)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f + 0*f = 10*f - 25017. List the prime factors of f.\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-37)\/((-444)\/(-8)))\/(-3*(-6)\/1026)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.11 + 29.11. Let r = -30 + y. Which is the biggest value? (a) 0.09 (b) r (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 661257.\nAnswer: 3, 19, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10163 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 18 = -t. Let u be (t\/(-12))\/((-1)\/(-4)). Let x = u - -30. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*(sqrt(1377) + sqrt(1377) + 1 + 0 - (2*sqrt(1377) + sqrt(1377))*5)**2.\nAnswer: -468*sqrt(17) + 465427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(-75)*(-4 - -9) + 268401\/35. What is the greatest common divisor of m and 4686?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -56, -85, -116, -149?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2 - 25 - 4)*(9 + -13) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 t when three letters picked without replacement from {v: 1, t: 1, d: 4, j: 2, e: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 185964 bigger than 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = -7*d + 2*d. Let q = -7 + 40. Let v = d + q. Is 13 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.672318, -4, -2\/123?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((200 + 18*h - 200)*(2 + 2 - 2) - 1 - 2*h + 1)*(-6*h + h + 4*h - h + 2*h + h + (0*h + 0*h + 2*h)*(4 + 2 - 4) + (-2*h + 6*h + 0*h)*(4 - 5 + 3)).\nAnswer: 442*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10102000111121 (base 3) to base 11\nAnswer: 1027869","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 9*d**2 - 3*d + 5. Let w(g) = 5*g**2 - g + 2. Let o(j) = -6*a(j) + 11*w(j). Is o(-9) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {v: 7, p: 9}.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 4. Let z be (-5)\/((-5)\/9)*-1. Let w = z - -4. Let u(c) = -c + 5. Let r(v) = v + 4. Let l be r(0). Determine l*u(o) + w*k(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 195, 23, 4, 1.\nAnswer: 1, 2, 4, 23, 195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6 + 10 - (11 - 3). Let w = 10 - 5.9. Let n = w + -4. What is the nearest to n in q, -0.05, 2\/5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 - 22. Let g be o\/2 + 14\/(-28). Suppose -2*r = -5*c - 53, -g*c - 29 = 3*r - 121. What is the remainder when r is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxxszxzzznagzazzza. Give prob of picking 1 n and 1 s.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1913.6772 to zero dps.\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.08 and 2356748848.\nAnswer: 2356748848.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 13*m**2 + 2*m + 49. Suppose 811*y - 814*y - 15 = -4*l, 46 = -4*y + l. What is s(y)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.5 + 15.\nAnswer: 7.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7106551, -7106553, -7106557, -7106563, -7106571, -7106581, -7106593?\n\"Answer: -h**2 + h - 7106551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/35 + (-46)\/(-14) + -2. What is the greatest common factor of k and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -671 + 673. Let 3\/5*a - 2\/5 - 1\/5*a**l = 0. What is a?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/234 and 7\/(-312)*2964\/(-546)?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.5? (a) -0.2 (b) -1 (c) -2\/5 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q. Let y(r) be the second derivative of -r**5\/30 - 5*r**2\/2 - 4*r. Let m(c) be the first derivative of y(c). Calculate l(m(f)).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, k: 2, v: 1}. What is prob of sequence kwv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -4*z - 11. Suppose -4*u = 129 - 113. Let m be p(u). Suppose 17 - 112 = -m*f. Which is the third biggest value? (a) f (b) 5 (c) -5\/6 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y**1\/y)\/y))**(-6\/7)*y**(1\/9)*y\/y**(-6\/7)*(y\/y**(-1))**(-3\/14)*y**(-7)\/y**(-3) assuming y is positive.\nAnswer: y**(-263\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 82760328179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -9*a - 2. Calculate the remainder when v(-4) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*o + 21*o + 14*o + 16*o + 18*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4*l**4 + 5*l - 4. Let s(x) = -x + 1. Let v(t) = -g(t) - 4*s(t). Find the second derivative of v(u) wrt u.\nAnswer: 48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - v**2 - 1. Let r(y) = -18*y**3 + 12*y**2 + 5. Let h(j) = 5*q(j) + r(j). What is the third derivative of h(l) wrt l?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 712781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -36 + 55 - 23 + 3*j + 3*j. Give b(-5).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -33\/4*j**4 - 12 + 36*j**2 + 5\/4*j**5 - j**3 - 16*j = 0.\nAnswer: -2, -2\/5, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w - 1. Let u(h) = -3*h + 1. Suppose 2 - 26 = 4*j. Give j*l(g) - 7*u(g).\nAnswer: 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -793 divided by -10542\nAnswer: 793\/10542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 135 = -8*f. Let s = -24 - f. Differentiate 9*i**3 - 4 + 2*i**3 - 5*i**s with respect to i.\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -105 - -90. Let a = -2167\/9 - -241. Is z < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 103 + -22?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 120 = 2*x - 4*c, -2*x + 120 = 3*c. Let i be ((-4)\/5)\/(69*(-8)\/x). Which is smaller: 0.2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, 593, 1440, 2641, 4202, 6129?\nAnswer: 8428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqf. What is prob of sequence qw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*u - 11*u = 56949. Is (986\/51)\/(2*1\/u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -7*g**6\/18 + 29*g**5\/12 - 65*g**4\/12 + 95*g**3\/18 - 5*g**2\/3 - 3920*g. Determine x so that m(x) = 0.\nAnswer: 1\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5440.588 days?\nAnswer: 130574.112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d*d**(-3))\/d*d)*d)\/d**0)\/(d**(8\/7)\/d**(-2)) assuming d is positive.\nAnswer: d**(6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -126, 0.29, 184, 3\/5?\nAnswer: 184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/1 - (-26 + (48 - 7)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*f - 29*f + 5*f**3 + 56*f + 2*f.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8986 + 8986. Find p such that -3\/2*p**3 + 0 + b*p + 1\/2*p**5 + 0*p**2 - p**4 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4703\/22 + -74\/11. Which is smaller: d or -220?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1781388 and 36.\nAnswer: 1781388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j = -o + 29*j, 5*j = 4*o - 3. Factor -2*q**3 - 2\/3*q**5 - 2*q**4 + 0*q + 0 - 2\/3*q**o.\nAnswer: -2*q**2*(q + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*w**2 - 35297 + 35298 + 15*w**3 + 4*w**4 + w**4 - 4*w**2 - w - 6*w**4 to r*w**3 + y*w**4 + n + k*w + a*w**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + z + 15 = 0. Suppose 0 = -0*f - 5*f + 70. Solve -z*d = 6 + f for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1589*z = -1600*z - 4*w - 24, -4*z + 5*w = 41 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/5 + 814206*a - 4071031\/5.\nAnswer: (a - 1)*(a + 4071031)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(891) + sqrt(77)\/(-5*sqrt(7) - sqrt(7)).\nAnswer: -2 + 53*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -1. Let t(a) = -4*a - 4. Let y(m) = -4*n(m) + t(m). Let u = -5 - -8. Suppose -2*f = -f - u. Give y(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 35. Let a be ((-10)\/15)\/(1\/n). Let k = 23 - a. Solve 2*s + p = k, -5 = -s - 5*p - 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -45*v - 17*v - 252 + 140*v**3 - 8*v**5 - 68 + 4*v**5 - 74*v + 340*v**2 - 20*v**4 = 0. What is v?\nAnswer: -8, -2, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 3*v = 129, 2*v = 2*z - 0*z - 42. Suppose -2*q + 24 = -4*u, 2*q - z = -2*q - 4*u. Suppose 0 = 2*a - q*a + 930. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -158375 - 0\nAnswer: -158375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-12)*4 + -11. Which is smaller: n or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -318416 by -45488.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 9. Let s be y(0). Let p = -7 + s. Solve 0 = 3*z - p*z + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/54*-15*(-2)\/5*345\/1380?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -185, -434, -807, -1316, -1973?\nAnswer: -2790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.817851 microseconds to hours.\nAnswer: 0.0000000118938475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1030463361 and -0.05431.\nAnswer: 1030463360.94569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 1 - (65 - 76).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 4*o**3 - 74210280*o**2 - 148420576*o = 0.\nAnswer: -2, 0, 18552572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 123613 - 123606.0951. Let z = c - 6.86. What is z rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54 + 19 + 14 + 21 - u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ukwk when four letters picked without replacement from {b: 2, w: 1, k: 8, u: 2}.\nAnswer: 14\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41193 - 19500. Suppose -j + t = 4*h - 3*h, j + 2*h - 21692 = 0. Let n = -149306 - j. Round n to the nearest 10000.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110010000101010110 (base 2) to base 4.\nAnswer: 302011112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -11*f - 198. Let x(a) = 1151*a - 2319. Let b be x(2). Give t(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 729*j**3\/2 + 2133*j**2\/2 - 161*j\/2 + 3\/2 = 0?\nAnswer: -3, 1\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -409 + 413. What is the third derivative of 51*c**4 + 0*c**l + 104*c**2 - 32*c**2 wrt c?\nAnswer: 1224*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/498432 and 151\/6.\nAnswer: 498432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*k**3 + 10*k**3 - k - k**3 to the form s + b*k**3 + w*k**2 + t*k and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - (10 - (-1 + 6)) - (-5 - 0).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 2*u + 6, -5*d + u + 9 = -14. Suppose 0 = -2*j + 6, -3*k = -2*j + 4 + d. Let p(q) = -3 + 0 + 2*q + 8*q**2 + 4. Calculate p(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 540 + -169. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -189436\/5 + 37900. Let w*y**5 + 96\/5*y**4 - 36\/5*y - 4\/5 - 92\/5*y**2 - 28\/5*y**3 = 0. Calculate y.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + k**2 - 5*k. Let c be u(-3). Let f be -1 - (-6)\/(4 - 2). Let p(v) = 2 + 0*v**3 + 2*v**f + 0 - v + v**3. Give p(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6)\/((-64)\/72)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37*2\/(-9) - 214\/963.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**2\/11 + 16862456*f\/11 + 35542802793992\/11 = 0. Calculate f.\nAnswer: -4215614","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 1. Let r be l(-1). Let z = 4 + r. What is the highest common factor of z and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**3*n**4 - 7*g**3 + 1327*n**4 + 8*n + 20 wrt n?\nAnswer: -12*g**3*n**2 + 15924*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8\/3, -3, 3\/4, 4146\/29?\nAnswer: 4146\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/9, -2, 0.181, 6, 0.3, -0.5?\nAnswer: 0.181","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28348 by 7.\nAnswer: -28348\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 divide 12\/(-9) - (-10851185)\/285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of q**5\/90 - 77*q**4\/27 - 791*q**3\/27 - 212*q**2\/3 + 470*q - 1. Factor p(y).\nAnswer: 2*(y - 159)*(y + 1)*(y + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p**2 + p**2 + 0*p**2)*(-4 + 4 - 4)*(-4*p + 4*p + 8*p)*(-5 + 2 + 1) in the form u + a*p**2 + z*p**3 + x*p and give z.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1455 and 90?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-16)\/n)\/n)\/n)\/n*n\/n**(-5\/14)*(n*n*(n\/(n**(-3)*n))\/n*n)**40 assuming n is positive.\nAnswer: n**(2553\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62952.53377 - -62953. What is t rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*(f*f\/(f\/f**(-10)))\/f))\/f*f*f)\/f*f)**(-14) assuming f is positive.\nAnswer: f**(-154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 66.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -4 - -4 - (73 - (-5 + -53))?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13184.667 less than -4647?\nAnswer: -17831.667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*t = 47*t - 3. Which is greater: 5\/12 or t?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 21*l**3 - l**2 + 1 - 20*l**3 - l - 4 - 3. Let a be k(0). Is 19 a factor of (-1)\/a - (-1239)\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (788\/3546)\/((-1)\/(-99)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (186\/(-14))\/(-3) + (-8608)\/(-15064)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4504205.4 to the nearest one hundred thousand.\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-135 + 67)\/(8\/6). Sort -3, x, 4, -4.\nAnswer: x, -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((((sqrt(208)*1 + sqrt(208))*-1)\/sqrt(4))\/(-2*-1*sqrt(36)))**2 + -4.\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8531481 - 8531481 - 68913*p.\nAnswer: -68913*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3 = -4*g, -d - 4*g - 3 = 6. Suppose 5*v - 22 = -d*q, 2*v + q = -q + 8. Suppose -2*x - 8 = -6*x. Sort 4, x, -2, v.\nAnswer: -2, x, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 95 - 287 = 0. Is 14 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 6*w**2 + 2*w + 5. Suppose g - 4 = -3*z, -3*g = -g + 2*z - 8. Let a be -2 + (1 - 1) - g. Give m(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12*106\/(-4))\/(5 + -4). Suppose 267 = 3*i - t. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.99 - 0.01. Let h(q) = q - 8. Let r be h(3). Let w be (-1)\/(((-10)\/4)\/1). Which is the closest to v? (a) w (b) r (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 279*v**2. Let o(t) = -7*t**2. Let r(x) = -81*o(x) - 2*q(x). Let f(g) = -2*g**2. What is f(r(l))?\nAnswer: -162*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(3025\/(-803)) + -10 - 7*-1.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v - 1. Let p be r(-3). Suppose -412 = -3*y + p*h, 268 = 3*y + 2*h - 109. What is the remainder when y is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6668372993 + 3?\nAnswer: 3.6668372993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 6. Suppose 0 = 2*g + 2*g + w*i - 24, -g - 4*i = -15. Suppose -4*y - 20 = -g*t - t, 4*t - 5*y = 21. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/2664 and -125\/8436?\nAnswer: 50616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)\/(-3*sqrt(6)) - sqrt(42)) + sqrt(42))\/(-1*sqrt(486) + sqrt(6)).\nAnswer: sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 not equal to -67194?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/2147650 and 7\/4295300?\nAnswer: 4295300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) -3\/4 (c) 2\/7 (d) 1\/7 (e) 3 (f) -554\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2134)\/(-5) - 4) + 3\/15. Suppose 3*y - c - 45 = -15, -5*c = 15. Calculate the greatest common divisor of y and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57.6 - -50. Let k = -10 - l. Let f = 1.9 + k. Which is the third biggest value? (a) 0.5 (b) 2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -10. Let a = d + 23. Let i = a + -19.00011. Round i to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1872)\/(-396))\/26)\/2*(1540\/(-12))\/(-5)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210155352 (base 6) to base 14.\nAnswer: 6b1c20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011 + -1000?\nAnswer: 11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 9. Let s be 4\/18 - 34\/(-9). What is the remainder when 33 is divided by (6 - m)*6\/s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18334 + -17486. Calculate the remainder when w is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3e1661 (base 15) to base 4\nAnswer: -23122121023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 890 + -857. What is the highest common factor of 121 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 299\/14, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -2) + 44\/(-11). Let m(v) = 4 - 5*v - 1 + 2*v - v. What is m(a)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0.4 (b) 26 (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 0*s + 2*s)*((1 - 3 - 1)*(0*s + s - 2*s) - 3*s + s + 4*s - s + 0*s - 2*s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 45*u + 426. Let a be y(8). Let l(t) = -3 + t + 0 + 5*t. Calculate l(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/181341012 and -125\/18.\nAnswer: 544023036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 9:12 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 + 13364*p - 13364*p.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 22?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 16) to base 12\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*b - 39*b + 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/14 - 50\/(-4). Suppose 4*q - a = -4*p, p + 4*p - 3*q = 7. What is the third derivative of 12*r**p - 6*r**4 + 3*r**4 - 3*r**2 wrt r?\nAnswer: -72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rmfittro.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -13, 2, 3 in descending order.\nAnswer: 5, 3, 2, 1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13\/118 - 539\/5428. Let a = s - 119\/2484. Is 3 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1380\/(-575))\/(((-124)\/(-2))\/((-15)\/(-3)))\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/7)\/((-5460)\/840).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -22*z - 171. Let x be w(-7). Put -3, 3, x, 5 in descending order.\nAnswer: 5, 3, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3*p**2 + 1057*p - 1 - 3*p**2 - 1055*p. Determine b(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1435 divide 725736852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.7 * 2501.2.\nAnswer: 6753.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3556131 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73\/342 - -1\/114. Let g be (33\/(-44))\/((-1128)\/(-320)*5). What is the closest to -3\/4 in -2, m, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, 3\/2, -1\/8, -1, -10?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10529*h**2 + 1479*h**2 - 461*h**2.\nAnswer: -9511*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8791 and 298?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -2\/109585?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02 - 2.02. Let o = -0.24535 - 7.75465. Which is the closest to 0? (a) o (b) -0.01 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 19 = -3*h + 8*h, -2*h + 4 = -2*d. What is the remainder when (3 - 0 - d) + 8 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4345997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*k - 6. Suppose k = 2*t + 873267 - 340167. Let u = 119550 + t. Round u to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 345?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -379\/3 = -127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 h when three letters picked without replacement from dhihtttihhhiididh.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + f + 8, 13*x - 8*x - 5*f = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 133 - 43. Let s be 1950\/14 + (-2)\/7 + -4. What is the highest common factor of s and f?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -126 + 97 + -21 + -1?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/(-22) + (-1)\/(-2). Suppose 0 = 3*w - 42, a - 4808 = 3*w - 4848. Determine u so that 1\/11 - v*u**a - 1\/11*u**3 + 1\/11*u = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 177*h**2 - 48*h - 178*h**2 + 531*h**2 - 178*h**2 as s*h**2 + y + q*h and give q.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - -3. Let t = -73 - -75. Suppose t*c + 134 = 5*z, -4*c - 86 = z - 4*z. Solve 4*a - h = -z for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12034*i + 247875 = 15339*i for i.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mt when two letters picked without replacement from {r: 1, q: 1, p: 2, t: 1, m: 1, a: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46\/((-552)\/(-20)))\/((-2)\/329*245\/(-84)).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - 4*r + 2*r**2)*(0*r + 0*r - 2*r**2) + 55*r**4 - 29*r**4 + 190*r**4.\nAnswer: 212*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -11.2, 6, 4, -2\/3, 0.1 in descending order.\nAnswer: 6, 5, 4, 0.1, -2\/3, -11.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2241183958 + 2241183982.00000026. Let i = n - 24. Round i to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7 - 8)*-1*1 + -454. Let d = c + 2108. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -35, -74, -127, -194, -275, -370?\nAnswer: -479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4881 = -276*c + 13324 - 541 for c.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20261 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21344*j**4 + 27*j**3 + 2*j**2 - 24734*j - 1.\nAnswer: -512256*j + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 15276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-40)\/(10\/(-5)) + 0\/(-1). Solve 15 = -m*p + 17*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 2*i + i**3)*(-49 - 28*i + 56*i - 27*i).\nAnswer: i**4 - 49*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 184812?\nAnswer: -5\/92406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.9475424 microseconds to hours.\nAnswer: 0.000000000540984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -854 = -10*f + 8*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38.3+-61.48682\nAnswer: -23.18682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -317514347\/2607 + 121793. Which is smaller: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/13? (a) -1\/4 (b) 40 (c) 21\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*h = 5*y - 28, 56 = 4*y + 2*h. Let c = -16 + y. Is c\/(-11) - 67375\/(-121) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2010*f**3 + 4*f**2 - 4*f. Let n(b) = -82410*b**3 - 165*b**2 + 165*b. What is -165*j(u) - 4*n(u)?\nAnswer: -2010*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20035 is divided by 370?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**29*m*m*m**(8\/11)\/m*m*m**11\/m*m**(-2\/57) assuming m is positive.\nAnswer: m**(26141\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)*2*6)\/(sqrt(48)\/(sqrt(12) + sqrt(12) + (sqrt(12)*-3 - sqrt(12)))).\nAnswer: -24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -5*b - 23, -b + 0*b - 15 = 5*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 a factor of 22129199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122131221 (base 4) to base 14.\nAnswer: -2b705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 10. Suppose -3*y + y + 24 = -5*v, 4*y = -4*v - z. Let i be 2\/(y - 12\/3). Which is the nearest to i? (a) -1 (b) -1\/6 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1598150 to the nearest ten thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 67194*j**3 - 5336*j**2 - 7*j - 2 wrt j.\nAnswer: 403164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 8*z + 5. Let j be n(8). Suppose 0*m - m + j*x + 16 = 0, 3*x - 12 = -3*m. Let k = m - -66. Calculate the greatest common divisor of 8 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of -q**5\/60 - q**4\/3 + q**3\/3 - q**2. Let f(o) be the first derivative of k(o). Is 3 a factor of f(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2*(1 + sqrt(448)) + ((-2*sqrt(168))\/sqrt(6) - sqrt(28))**2*-2)*2.\nAnswer: -1018 - 32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqrr. What is prob of sequence rqrq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49528001*p**2 + 32943225*p?\nAnswer: -99056002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6253009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(1\/(-1)*-1). Let b(a) = 13*a**2 + 2*a + 1. List the prime factors of b(l).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*a**3 - 2691*a + 2691*a.\nAnswer: -57*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + m - 3)*(-2*m + 6*m - 2*m) - 42*m**2 + 43*m**2 + 63*m**2 + m to the form k + t*m**2 + a*m and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/27? (a) 0.068 (b) -0.1 (c) -2\/3 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22*f**3 - 704*f**2 - 2*f + 403667?\nAnswer: 66*f**2 - 1408*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 71 and 73?\nAnswer: 5183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5932 + -5932.1. Let g = -0.1 - -0.2. Which is the closest to w? (a) 3 (b) 1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334*k + 2204 - 1554 = -4026 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 203*u. Let q(p) = 203*p. Determine -4*k(t) + 5*q(t).\nAnswer: 203*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 - 210*j**2 + 980*j + 2760.\nAnswer: -5*(j - 6)*(j + 2)*(j + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8652.167t in nanograms?\nAnswer: 8652167000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*l - 2*l + 9*l - 105 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 80424.14526 rounded to the nearest integer?\nAnswer: 80424","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 798 and 1131260?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 126, 1, -4, 3 in ascending order.\nAnswer: -4, 1, 3, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7.2 (b) 1 (c) -1\/5 (d) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g**2 + 66*g + 77. What is b(23)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -499223, -499621, -500703, -502811, -506287, -511473, -518711, -528343?\n\"Answer: -57*z**3 + z - 499167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: Collect the terms in 6*l - 43*l**2 + 15*l + 9*l + 3 + 42*l**2.\nAnswer: -l**2 + 30*l + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/4 - 320\/(-376). Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -25*i + 42. What is the greatest common divisor of 34 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.634449ml?\nAnswer: 0.001634449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48960 or 48958?\nAnswer: 48958","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 = -3*f + 4*m, -3*f - 5*m - 133 = -364. Suppose -2*s + 8 = -x - 12, 2*s - 5*x - 28 = 0. What is the greatest common factor of f and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(637) - (sqrt(637) + (2*sqrt(637) - sqrt(637)) + 2)) + (sqrt(637) + sqrt(637)*1)*-2)*1 + 0)**2.\nAnswer: 140*sqrt(13) + 15929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 112 - 110. Let b(h) be the first derivative of v - 6*h + 2*h**2 - 2\/9*h**3. Factor b(a).\nAnswer: -2*(a - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - 0 - -2 - -3. Let h = 14469\/72370 + 1\/14474. What is the nearest to -16 in 3, h, r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23*2\/(-12) + 9\/3.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 - 6*y**3 + 3*y**4 - 6*y**4 - 6*y**2 + 5*y**2.\nAnswer: -3*y**2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u**4 - 2*u**5 + 3 + 165*u**3 - u**5 - 177*u**3 - 3 = 0. Calculate u.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36 (base 8) to base 6.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -4*z + 5*z - 19, -2*z = -q - 10 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -215, -376, -537, -698?\nAnswer: -859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*z = -2005 - 3171 + 650. Does -1912\/13 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2662)\/1936*2\/55\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 6936*n**2 - 76*n - 32. Let t = 244 + -212. Let j be c(t). Round j to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3867708476 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*c - 26621, 0 = -c - 5*s + 4931 + 8390. What are the prime factors of c?\nAnswer: 2, 6653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f**2 - 15*f**3 - 4*f**2 - 2*f - 11*f**2 - 6 - 2*f**4 + 11*f**2 to v*f**4 + k*f**2 + s*f + o + b*f**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v**2\/4 - 38221*v + 1460844841 = 0. What is v?\nAnswer: 76442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-321 - 321 + 632)*(-q + 3*q - q)*(-q + 4*q - 2*q).\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 239*h**5 + 2*h**4 + 81*h**2 + 29586*h?\nAnswer: 4780*h**3 + 24*h**2 + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7831044 a multiple of 522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in 5, 2, 29.3, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 53717.88 days?\nAnswer: 4641224832000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -5*g**2 + 1. Let p(o) = 375*o**2. Calculate p(j(u)).\nAnswer: 9375*u**4 - 3750*u**2 + 375","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 18*c**2 + 3*c + 313. Determine v(21).\nAnswer: -947","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-151 - 132 + 317)*(-1 + 1 - 2*h) to the form j + x*h and give x.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(252) + 2 + (sqrt(252) - (sqrt(252) + 0 + 4)))**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 5*u**2 - u - 5. Let d be y(4). Suppose -d = -2*g + 5. Let n(c) = -8*c - 6. Let k be n(-6). Calculate the highest common divisor of k and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-3) + 3\/(-9). Let n = 0 - c. Let m = n - 1. Solve 5 - m = i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23977*j**2 - 113*j - 16*j + 129*j + (-3*j + 5*j - j)*(-3*j + 3*j - j) + 2*j - 2*j - 2*j**2.\nAnswer: -23980*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 162\/(-20)) + (-32)\/8?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222799 = 3135*a - 53509 for a.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 570405?\nAnswer: 3, 5, 11, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.01 take away 1439191238?\nAnswer: -1439191254.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -98*v + 2. Let k be d(0). What is the smallest value in 1, k, -24, -2\/7?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46.7 + 46. Which is smaller: r or 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * -0.232718.\nAnswer: -1.396308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3225456076.\nAnswer: 2, 977, 825347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3 = -3*d. Let s be (-3 - -5) + (1 - 0). Let q = s + 2. Put 2, d, q in ascending order.\nAnswer: d, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 7*a**2 - 11*a + 13. Determine b(-7).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13653\/10 - -1364. Let j = 4039 - 72737\/18. Calculate the common denominator of j and h.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(187) + (sqrt(187) - (sqrt(187) + -1*sqrt(187))) + sqrt(187) + sqrt(187)) - sqrt(187))\/(sqrt(66)\/(-2*sqrt(6))).\nAnswer: 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**3 + 172541*v**2 - 862726*v + 690184 = 0.\nAnswer: -172546, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 861 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q - 3. Let z be i(9). Suppose m - z = -2*m. Solve -4*j + 3*j = -m for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1689364290?\nAnswer: 2, 3, 5, 17, 19, 313, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 4. Suppose -6 = i*s - 5*s. Let p(g) = -s*g + 2 - 2. Let a(b) = -2*b**2. Give a(p(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/1 + 1022\/(-9 + 11) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5700)\/8800 - (50\/(-22) + 2)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22226*o = 22237*o + 198 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, 4, -5667979 in descending order.\nAnswer: 50, 4, -5667979","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 21*j + 9. What is the smallest common multiple of 6 and s(-21)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -11, -1 in increasing order.\nAnswer: -11, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 + 13. Let k = 29 + z. Suppose -w + 40 = 3*q - 253, 0 = 3*w + 12. What is the highest common factor of q and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-33)\/(-2)*26\/39. Suppose 4*l - x = 1. Suppose -u + 12 = -5*d, -u + d + l = -1. Solve -f + 2*j = 11, -u*f - 13 = -j - 0*j for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1847928 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5696 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1956 divided by 489?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*s = 0. Let j(b) = -b**3 - b + 1. Let n be j(0). Which is greater: s or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1064 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: Suppose 4*f + 6 = -3*m + f, -4*m + 3*f - 8 = 0. Let b = m - -6. Put -0.5, b, 2 in decreasing order.\nAnswer: b, 2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j + 0 + 0. Let f(u) = -u**3 - 10*u**2 - 20*u + 8. Let a be f(-7). Let h(x) = x**2 - 4*x. Determine a*h(c) - 4*w(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*y - 0. What is g in -y*g + 1 - 2*g**2 + g**2 - 1 - 1 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 5\/131?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b = b - y + 2, 0 = y + 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37059636 + -37059596.999874. Let j = 37.7 - -1.3. Let q = j - n. What is q rounded to five decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 12:16 PM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 - 44*i**2 - 50*i + 92.\nAnswer: 2*(i - 23)*(i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + -2442.\nAnswer: -2442.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 90701153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 10:34 AM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 197264\/7 + 21\/49 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/2770 and -43\/5817.\nAnswer: 58170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -8*q + 11. Let z be j(7). Is -46 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 8*a + 4 = 8, -5*d + 24 = 4*a for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.587 - 28.\nAnswer: -21.413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4*k = 2588, 294*f + 2*k = 297*f - 2612. Is 4 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 575 and 4.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 2 = -2*f. Let v be 12\/(-9)*(-273)\/(-14). Let x = 41 + v. Solve -4*z - f - x = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 60\/270 - (0 - (-14)\/(-18)). Put 3, s, -11, -3 in increasing order.\nAnswer: -11, -3, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -350*g**2 + 1065*g**2 - 5407*g - 344*g**2 - 355*g**2 + 5406*g.\nAnswer: 16*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-115)*(-4)\/(-16)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -106 - -19. Let b = -122 - s. Let t = b - -34.992. Round t to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4209 is divided by 98?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 4:31 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 9*l**2\/2 - 5*l - 7. Let i(z) = -19*z + 11. Let n(y) = -5*d(y) - 2*i(y). Does 21 divide n(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -293 - 3*q + 149 + 144.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 + 1 - 1 + (-3 + 3 - m)*(-m - m + m) - m**2 + 26*m**2 - 83*m**2 + 2*m**2 - 3*m**2 - 6*m**2.\nAnswer: -63*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.2853 rounded to the nearest integer?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/13236 and 49\/9719636.\nAnswer: 29158908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16542 - -16267. Which is greater: -242 or g?\nAnswer: -242","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -1131?\nAnswer: 1124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -262 in -42, 5, 1, 22, -4\/9?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + -2*sqrt(153)*-3 + 1*2*sqrt(153))*-2)\/((6*sqrt(90)*-1)\/(sqrt(10)*1*-2)).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -510 take away -60158643033?\nAnswer: 60158642523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 994067 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-2\/3))\/((((f*f**8)\/f)\/f)\/f*f))\/((f**(-8)\/f)\/(f*f**(1\/6))) assuming f is positive.\nAnswer: f**(29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/4*c**2 + 3\/4*c**4 + 0 - 93\/2*c**3 + 93\/2*c = 0. Calculate c.\nAnswer: -1, 0, 1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*sqrt(42)\/(sqrt(3)*-2))\/(1*(sqrt(448)*-5 + sqrt(448))).\nAnswer: -3*sqrt(2)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -17. What is the smallest common multiple of b and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5021 is divided by 44?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(10\/33)\/(48\/528).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 2\/5 (b) 0.37 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -530, 0.2, 3, 1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 1. Let x(f) = 0 - 7*f - f**2 + 9 + 2*f**2 + 6*f. Determine x(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -k**5\/25 - 3*k**4\/20 + 2*k**3\/15 + 6*k**2\/5 + 8*k\/5 + 23. Solve u(r) = 0 for r.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 1472*i**2 + 7*i + 6. Suppose 3*f + 4*z - 21 = 8*f, 2*z - 7 = -f. Is s(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 19*z**2 + 37*z - 137. Is a(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**16\/(i**(3\/10)*i*i))\/((((i**12\/i)\/i)\/i)\/(i*i**(-12))) assuming i is positive.\nAnswer: i**(-63\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5544\/748 + (-165)\/22?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 22. Suppose 0 = 296*g + 1085 + 796 - 401. Sort -3, b, g.\nAnswer: b, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eyeeyyyyyyyeyeyyyyy. Give prob of picking 2 y and 1 e.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15148175059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 5:30 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 73381.54154 - 73380. Let t = -0.68 - -2.22. Let u = t - a. What is u rounded to four decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - 12. List the prime factors of 1025\/45 + t\/18.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 4. Which is the nearest to -0.1? (a) 1 (b) 0 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 130240 and 35475?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 764 + -759.69. Let a = -34 - -34.19. Let b = a + d. What is b rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.187 + -0.767. Let k = g + 0.48. Which is the third smallest value? (a) 13 (b) 1\/2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 856027557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 2*b - 1. Let n be h(1). Calculate the common denominator of 1 - n - (-91)\/8 and (-6)\/11*-4*((-172)\/12 + 13).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1628308)\/(-300883)*17\/(-2)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -454?\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 378 + -352. Suppose 17*i - 59 = w. Solve x - 12 = -x - m, 5*x = i*m + 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2467483 in -1, -0.3, 3\/4, -2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8570*l - 8492*l = 1404 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*f + 10292 = 0, 4*d - f - 29 = 20562. Suppose -3*y + 3*i = -d, -i - 10 = i. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -6*b + 9. Suppose 4*m = -s + 26, -m - b*m = 3*s - 30. Solve 28 = w - m*u + u, -w + 13 = -2*u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 2309a27?\nAnswer: 2309a23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 20*u + 9. Let o(g) = 10*g + 4. Give -5*o(p) + 2*s(p).\nAnswer: -10*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 194*t**2 + 3*t - 2. Let y be 6\/8 - (-4)\/16*877. Let x be -8*(-5)\/y - (-18)\/22. Is 41 a factor of a(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -12 - 7. What is the remainder when 35 is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 * -0.2574.\nAnswer: -0.20592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 450 + -727. Let t = h - -276.7. What is the biggest value in t, -3, -14?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {u: 4, y: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 5408*t**2 - 859*t - 6815. Is d(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 537, -4, 0 in increasing order.\nAnswer: -4, 0, 1\/4, 537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 5*v - 4. Let f be l(-3). What is the greatest common divisor of f and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1527.787 - 1525. Round m to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1094 is divided by 145?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 divided by -4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*o**3 - 23*o**4 - 1194*o - 1927*o - 15*o**4 wrt o?\nAnswer: -456*o**2 + 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -3, 1, 0, -4, 5, -640 in descending order.\nAnswer: 16, 5, 1, 0, -3, -4, -640","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 h when three letters picked without replacement from {h: 6, l: 12}?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2976\/37 greater than -403?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14983)\/(-28)*8\/4. Let l = a + -1071. Calculate the common denominator of l and 61\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 2) in base 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (35 + -47)*(-2 - (-3)\/2). Suppose m*d + 6*d - 1032 = 0. List the prime factors of d.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 0*q - 2*q - 4*q + 2*q. Let w(g) = 2*g**2. What is w(j(o))?\nAnswer: 32*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 15*v + 8. Let s be z(0). Calculate the remainder when 301 is divided by (7 - (28 - -7))*(-22)\/s.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.137 in -2314, -1\/3, 5, -0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.208*-31\nAnswer: -6.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -110 + 113. Solve 4 = -v*a + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 200 and 150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 180? (a) -0.5 (b) -3\/4 (c) -2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 477 * -538945.\nAnswer: -257076765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + b - 26 = 0, 3*y + 5*b = b - 16. Let o be (-3)\/12 + (-34)\/y. Solve 4*g = -2*l, 0 = 6*l - 3*l + 4*g - o for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25946213*v - 25946215*v - 2 = 4*r, 3*v + 4*r = 5 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -201 (base 3) in base 8?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*w - 132*w + 8384 = 514*w + 30642 for w.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 h when three letters picked without replacement from eeeuhhhgghyyhehe?\nAnswer: 15\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.85 - 0.15. Let k be (-98)\/441*9\/(-48)*2. Put j, k, 0.9, -2\/3 in ascending order.\nAnswer: j, -2\/3, k, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*z - 32 = 71*z. Let o(b) = 4*b**2 + 3*b + 4. Let x be o(z). What is the highest common divisor of x and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63335 is divided by 391.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*q + 108. List the prime factors of q.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 9:12 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(272) + 1)**2*3 + 4 + ((sqrt(272) + 2)*-1 - (sqrt(272) - 5*(sqrt(272) + -2))).\nAnswer: 60*sqrt(17) + 1630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i - 3*y = 119, 4*i = 30*y + 3*y + 68 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 12*f**2 + 16*f + 11. Calculate m(-13).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8139 - 8126. Let j be ((-3)\/(-6))\/(2\/48). Is j <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 148 + -142. Suppose 6*q + f - 12 = 0. Suppose -8 + 0 = -4*j. Solve q + 5 = j*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3166291 + 143447 = 29348*o for o.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(20\/25) - 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -323*0.1.\nAnswer: -32.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.14 take away -3.1834667268?\nAnswer: 0.0434667268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j + 1 + 22 - 14. Suppose -y + 3*h = 2*y - 54, -h = 4. Is t(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8391 is divided by 2730?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (11 + (-20 - 17))) + -5?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -7) + -31 + 14 + -5 + -1\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 f, and 1 y when three letters picked without replacement from {w: 1, y: 2, i: 1, f: 4, l: 7}?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxffxxfxxxxxxxxffx. What is prob of sequence xxff?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 4*o + 1. Let v be n(-4). Let s(g) = 2*g**2 + 12*g + 10. Let w(l) = -l - 1. What is v*s(r) + 10*w(r)?\nAnswer: 2*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-1*((sqrt(500) + 1)**2*-3 - (sqrt(500) + ((sqrt(500)*-1)**2 + sqrt(500))*2)).\nAnswer: -5006 - 180*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (291\/6)\/(15 + -10 - 3). Let p = 47\/2 - j. Suppose -t = t + 5*a + 24, -4*a - 14 = -t. Sort t, p, 4\/3 in ascending order.\nAnswer: t, p, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 22. Suppose 4*b - 151 = -l*u + 3*u, b - 34 = 3*u. Let o = 1 + b. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + 6)*15\/9. Suppose g - w*n = 235, 4*n = -0*g - 2*g + 400. What is the greatest common factor of 14 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.41+-190257900763\nAnswer: -190257900763.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-58)\/(5\/((-90)\/(-6))*9\/(-3)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 8 = 2*t, 5*t + 13*c - 9*c = -6. Let q(v) = 17*v - 17. Let l = -36 + 27. Let s(u) = -4*u + 4. Give l*s(p) + t*q(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -229*u - 9410. Calculate i(-42).\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.2 + 3. Let d = -0.3 - y. Let i = 0.2 + d. Sort 2, i, 3.\nAnswer: i, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2111570903 to the nearest integer?\nAnswer: 1283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 2. What is the common denominator of (-27)\/(b*(-4 - 0)) and 252\/77 - (-2 - -4)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**1\/q)**(2\/19)*q**(5\/3)*q\/(q**(-1\/5)\/q))**(1\/24))**32 assuming q is positive.\nAnswer: q**(232\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 3*u = -1, 4*a + 3*u = 102 - 95 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - m - 14 - 9 = 0, 0 = 5*m + 15. Suppose 3*n = 3*l - w*l + 17, -n = -4*l - 23. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**3 - 22283*x**2 - 22281*x**2 + 66840*x**2 - 22276*x**2.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -78177.9 rounded to the nearest one hundred?\nAnswer: -78200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 2*v + 2*v - 28, 3*i = 2*v - 13. Suppose 15 = t - 4*c, -3*t + 4*c = -v*t + 27. Calculate the highest common divisor of t and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n + 4. Let c(b) = -9*b + 11. Suppose 3*h = -24 - 27. Let j(k) = -k**3 - 33*k**2 + 4*k + 138. Let w be j(-33). Give h*d(f) + w*c(f).\nAnswer: -3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*o - n = -33*o + 4, -6*o + n - 1 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 4*d**2 - 5*d + 2. Let i(v) = v**2 + 2*v + 2. Let j be i(-3). Let w be t(j). Solve -w*p - 16 = 2*p, 2*s + 5*p + 10 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2923258720 rounded to the nearest 100000?\nAnswer: 2923300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/5)*n*n)\/((n\/((n\/(n**(3\/5)*n))\/n))\/n)*(n*n**(-5))\/n**5*((n**(-2\/9))**(-2\/57))**36 assuming n is positive.\nAnswer: n**(-497\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32083174\/7815 - -12316\/3. Is s > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (336*l + 110*l - 228*l + 315*l)*(38*l - l**3 - 38*l).\nAnswer: -533*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -177*j**2*l**3 + 2*j**2*l*o + 2*j**2*o*x - 2*j*l**3*o*x + 58*j*l**2*o*x + 2*j*o + l**3*x wrt j?\nAnswer: -354*l**3 + 4*l*o + 4*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3028 = 4*m + 4*b + 3020, -5*b - 39 = -2*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4077076 and 629?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + 0. Let t = 5 + n. Is t >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-one halves of a microgram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b + 131. What is l(-35)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 7:22 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/1164 and -23\/4117844.\nAnswer: 12353532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -2*g, -g - w = -0*g. Let m = 9 + -6. Let a(k) = 2*k + 3 + k**3 - 2*k**3 - m*k**2 - k**2 + g*k**2. Calculate a(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 5*t + 6*t + 74 + 3*t**4)*(4*t - 5*t - 2*t).\nAnswer: -9*t**5 - 222*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmuumummmumuu. What is prob of sequence ummm?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 - 13 = -5*n. Sort 3, 4, n in ascending order.\nAnswer: n, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 5*b**2 - b - 8. Let g be f(3). Let o = -41 - -28. Let d be 6\/(-4)*o\/78*20. Solve 18 = d*i - g for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/16 - (-1 - 0). Let m = 11 + -10.8. Which is the second smallest value? (a) -1 (b) m (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 7:58 PM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -969.3? (a) -3 (b) 2\/9 (c) 4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 401350 and 3818.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 18*o - 42. Let z be h(-15). Suppose z*x + 270 = 3*v, -2*x + 0*x = -3*v + 271. Calculate the remainder when v is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 69665, 69715, 69799, 69917, 70069, 70255?\n\"Answer: 17*s**2 - s + 69649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = t + 1, -22*i - 17 = -26*i + 3*t. Solve 38*u = 39*u + i for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 12\/25, 4\/13 in descending order.\nAnswer: 12\/25, 4\/13, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -549, -554, -571, -606, -665, -754, -879?\n\"Answer: -m**3 + 2*m - 550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 833 - 814. Is 6 at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 13*o**3 - 209*o**2 - 51*o + 12. Let s(x) = 37*x**3 - 626*x**2 - 154*x + 34. Let f(y) = -17*j(y) + 6*s(y). Find the second derivative of f(w) wrt w.\nAnswer: 6*w - 406","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.8056 * -1\nAnswer: -3.8056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 4*s**2 + s - 5. Let h be v(4). Let c = -11097\/17 - -653. Which is smaller: c or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/11)\/c*c)**(-9\/14))**(-6\/19) assuming c is positive.\nAnswer: c**(54\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 2*c + 2. Let r be v(0). Let x be (r\/6)\/(12\/72). Solve 0 = -2*d - 0*i - 4*i - 24, -3*d = x*i + 16 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 387?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 10*a**5 - 11*a**4 + 7*a**3 - a**2. Let w(x) = -5*x**5 + 6*x**4 - 3*x**3. Let o be (-220)\/(-35) - 4\/14. Let p(y) = o*s(y) + 15*w(y). Factor p(r).\nAnswer: -3*r**2*(r - 1)**2*(5*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -65495\/57 or -1150?\nAnswer: -65495\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -3582.96 to the nearest 10.\nAnswer: -3580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1584 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/10)\/((-9)\/30). Let h be 2 + -4 - (-7684)\/3474. Let f = -2\/193 - h. Which is the second smallest value? (a) f (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 740 divided by 140695?\nAnswer: 148\/28139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**2\/9 + 24*q = 0. What is q?\nAnswer: -108, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -4 - (-11 + 10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 2*u + 1155. Let w be m(0). Let q be (-18)\/8*4665\/(-9). Let s = q - w. Find the common denominator of -89\/10 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/31? (a) -4 (b) 0.2 (c) 2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 15097918*p. Let a(z) = 2*z**2. Calculate h(a(j)).\nAnswer: 30195836*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Expand 10*i**2 - 3*i**2 + i**2 + (-1 + 137*i + 144*i - 285*i)*(-12*i + 3*i - 5*i).\nAnswer: 64*i**2 + 14*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54*l - 135*l + 110*l + (0 + 0 - 2)*(2*l + 2*l - 3*l) to the form f*l + t and give f.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 36 = -0. Suppose -a*f = -4*f - 10. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26\/377215 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (29 + -23)*(-362)\/1*(-47)\/4.\nAnswer: 3, 47, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 3:46 AM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 5*f - 12. Let q be (64\/(-24))\/(f\/(-3)). Solve -4*y - 8 = q*m - 4, 3*m - 5*y = -35 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 186.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19520 is divided by 5988.\nAnswer: 1556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29\/5 + (-6)\/(-30).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52*j*l*v**2 - 5*j*l - 2*j*n**2*v + 7*j*v + l*n**3*v**2 + 3*n**3 wrt v.\nAnswer: -104*j*l + 2*l*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oeue when four letters picked without replacement from {u: 3, e: 2, o: 1, p: 4}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -122600 (base 7) in base 9?\nAnswer: -33878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-14))\/((-4)\/28). What is the first derivative of 5*u**c + 0*u**2 - 5*u**2 + 4 - 5*u**4 wrt u?\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 5*k**8\/336 + k**7\/6 + 2*k**6\/3 + k**5 - 7*k**2 - 20. Factor s(t).\nAnswer: 5*t**2*(t + 2)**2*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21602 (base 9) in base 13?\nAnswer: 66b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-92)\/(-24) - 2\/(-12). Suppose 2*w - n = w. Solve 2 + 6 = w*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**2 + 6*d**3 + 3*d**2 - 25*d**3.\nAnswer: -19*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -297 - -614. Let u = s + 570. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -8*c**6\/3 + 3*c**4\/4 + 5*c + 7. Find the third derivative of b(k) wrt k.\nAnswer: -1920*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -241863 at least -2418623\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a day in minutes?\nAnswer: 7560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 16 = 22 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0\/2)*0 - 9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, 121, 0.5, 0.15?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(((f**(-3\/5)*f)\/f)\/f*f*f)*f\/f**(3\/4))\/((f**(1\/9)\/f)\/f*f**(-7)))**50 assuming f is positive.\nAnswer: f**(8765\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - i**2. Let y be k(1). Suppose -s + 4*l + 16 = y, -2*s - 3*l - 1 + 0 = 0. Solve -20 = -s*n, 2*z = 4*n - 11 - 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -0.2. Let u be 6*(-4)\/(-16) - (-6)\/(-4). Let o = 1 + -2. Which is the nearest to u? (a) o (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48) + sqrt(768) + sqrt(768)*2 + sqrt(432)*3)\/((sqrt(256)*2 - sqrt(256)) + (sqrt(4) - sqrt(4)*-1)*-3))**2.\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -17.1. Which is smaller: 7 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109856192 divided by 27464048.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 36 = -36. Let x be 9\/6*3\/q. Let d(f) = f - 4. Let m be d(3). Which is the closest to m? (a) -0.2 (b) x (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/2)\/(11\/44). Let u be 7\/10 + (-2)\/4. Let d = -65.5 + 65. Which is the closest to s? (a) 0 (b) d (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1450975 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*(g*(g*g**(-6\/11))\/g)\/g)\/g**(2\/3))\/(g**(2\/5))**(2\/27))**(-40) assuming g is positive.\nAnswer: g**(2872\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.482392ml to litres.\nAnswer: 0.007482392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*1*sqrt(160))\/sqrt(8)*-5)\/((sqrt(4) - 1*-1*sqrt(4) - -3*sqrt(12)\/sqrt(3))*5) + -4.\nAnswer: -4 + 6*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**3 + 47*q**2\/2 - 16*q - 11\/2 = 0.\nAnswer: -1\/4, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1586787 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (100\/(-5) - 5)*(-2)\/1. Calculate the highest common divisor of h and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 85351514?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lwwggglog. What is prob of picking 1 o and 1 g?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*o + 15*o. Let b = -19 + 17. Let t be b\/6 - (-91)\/39. Solve r + t + 3 = o for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5294 + 5294.05724. What is z rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 26 - 382 = 0. Calculate the remainder when f is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, m: 3, j: 7}. Give prob of picking 2 j.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34346072*s**3 + 206023*s + 42?\nAnswer: 206076432*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/((-12)\/(-574))*156800\/(-98). Round i to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4434*k**2 - 188*k**2 + 3212*k**2 - 1234*k**2.\nAnswer: 6224*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/312090 and 85\/16362?\nAnswer: 8426430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 5*s**2 - 9*s - 7. Give g(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 763611?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from pwpwwpwwwwpwwwwpwwp?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 2*u + 2 + 9, 5*u = 2*c + 13. Suppose 7 = 4*h - 5*h. Let n = h - -9. Calculate the highest common factor of c and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/94630086 and 13\/5463.\nAnswer: 94630086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 41*p**3 + 3*p**2 - 6*p + 1. Let l be g(2). Suppose -5*c + 9924 = i, -5*c + 10259 - l = -5*i. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-7) + 496\/(-28). Let m = h - -14. Sort 1, m, 0 in descending order.\nAnswer: 1, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.33 + -0.13. Let u = p - 0.2. Which is the second smallest value? (a) u (b) -3 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 + 9*w**2 + 2*w - 5*w**2)*(-1 + 1 + 1).\nAnswer: 6*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -y**2 - 3*y**4 + 0*y - 3 + 8\/5*y**5 + 8\/3*y**3 - 1\/3*y**6. Factor f(b).\nAnswer: -2*b*(b - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 428627 - 645940865\/1507. Find the common denominator of -8\/1233 and k.\nAnswer: 13563","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/7*42\/(-6). Suppose 3*y - h*d - 4816 = 1349, -8221 = -4*y + 3*d. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20778 and 2036244?\nAnswer: 2036244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 44320 at least 44320?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11015 or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 386590 = -h - 1133415, 4*z = -4*h - 3040020. What is z rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 2*v + 2, 6*v + 15 = 5*s + v for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 12 = -4. Let a be 114\/(-10)*(r - 3). Suppose 3*y = -0*y + a. Calculate the remainder when y is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r - 2. Suppose 0 = 2*h + 5*z - 2, 0*h - 5 = -5*h - 2*z. Let q = -42 - -54. Let x be (-2)\/6 - ((-52)\/q)\/h. Calculate j(x).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + 9*t - 7*t)*(-6*t + 7 - 12 + 9).\nAnswer: -30*t**2 + 20*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of b**5\/30 - 6*b**2 - 5. Let l(g) be the second derivative of q(g). Let r(p) = 5*p. Determine l(r(t)).\nAnswer: 50*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -18134, -72885, -164136, -291887, -456138, -656889, -894140?\n\"Answer: -18250*p**2 - p + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -20*h + 31. Calculate r(7).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hooxoozzzooozzhooz. Give prob of sequence xzh.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/5604288 and 167\/1071408?\nAnswer: 72855744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 1\/2*q + 1\/4*q**3 + 3\/4*q**2 + 0 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*b - 91*b = 96*b + 7488 for b.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/5 + 5268*y**2\/5 + 42624*y + 427840.\nAnswer: -2*(y - 2674)*(y + 20)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -47.05 in 2, 331, 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 798 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m + 21. What is the units digit of w(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2293 is divided by 85?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-6 + -1 - -13).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-26)\/4 - 1)*3\/(-15). What is the biggest value in g, -36, 2\/13?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -412 - -414. Sort 5, -4, 13, m in increasing order.\nAnswer: -4, m, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*y = -60 - 512 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 + -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 13 = -3*c, 0 = 4*q + 4*c - 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 367489.8 centuries to years.\nAnswer: 36748980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1543 - -3?\nAnswer: -1540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 51872, 103746, 155620?\n\"Answer: 51874*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44445*p**2 + 44440*p**2 - 88887*p**2 + 244*p to f*p + g*p**2 + b and give f.\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lrs when three letters picked without replacement from {s: 2, l: 5, r: 2}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 841216638?\nAnswer: 2, 3, 839, 167107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 0*x - 8*x)*(-3*x - 4 + 3*x + x**2).\nAnswer: -8*x**3 + 32*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -32 - 1a?\nAnswer: -4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -4*x**4 - 44*x**3\/5 + 632*x**2\/5 + 2048*x\/5 + 384\/5 = 0.\nAnswer: -4, -1\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -285820\/399 < -717?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 16347 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13 or 317\/26?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33228 and 7020.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 171*i - 169*i = -6814, 0 = -2*i + 2. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 2*s - 38, v - 1 = -4*s + 3. Let k = -5 + v. What are the prime factors of (0 - -9)*1\/k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*x**3 - 800 + 27*x**3 - 683 + 1483.\nAnswer: 61*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 211893 and 4323?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -0.3, 58 in decreasing order.\nAnswer: 58, -0.3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 33 - 43 = -a, 3*k = -4*a + 35 - 21 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -280775\/26 + 10799. Which is smaller: 65 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 1. Let b(r) = -7*r**2 + 6*r - 4. Let j(o) = -b(o) - k(o). Calculate the remainder when j(6) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 81 (b) 0.1 (c) 0 (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/(-2*sqrt(12)) + -2.\nAnswer: -2 - sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 442 and 450?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/12)\/(4\/156). Suppose 44 = -25*i + k*i. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tsldtlt. Give prob of sequence lsdt.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-1)\/2)\/((-7)\/28) and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13937933?\nAnswer: 1613, 8641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - -1ada7?\nAnswer: 1ada1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*-2*3)\/((sqrt(99) + (sqrt(99) - (sqrt(99) - (4*sqrt(99) + sqrt(99)))) - sqrt(99))\/sqrt(11)).\nAnswer: -6*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2363 = -f - 4*h, 3*f + 13*h + 2004 = 9092. Calculate the lowest common multiple of 263 and f.\nAnswer: 2367","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22171, -22100, -22029, -21964, -21911?\nAnswer: -21876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50707 and 6773.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -351 = -4*o + 5*a, -2*o + 3*a = -o - 86. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3060\/7 + 438. Let l = 25\/21 - m. Which is the third smallest value? (a) -2\/13 (b) -4 (c) -1 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 1 = 3. Let y = k + 13. Suppose 2*j - 3*j = -y. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*15\/(-65)*26?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v**2 - 231*v + 2125. Give k(8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2635 and 170.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (9\/12)\/(378\/56)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3991*b - 28061. Give y(-7).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {k: 10, n: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 677891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9990, -19969, -29948, -39927, -49906, -59885?\nAnswer: -69864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t**3 + 3*t**2 + 5. Let j(b) = b**3 + b**2 + 2. Let v(g) = 2*c(g) - 7*j(g). Give v(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15052?\nAnswer: 2, 53, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -494 * -3.4\nAnswer: 1679.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 69.\nAnswer: 68.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 3*s**2 - 29937186*s - 149686005 = 0.\nAnswer: -5, 9979067","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -d**4\/12 + 7*d**3\/6 - d**2 + 3*d. Let y be x(6). Solve -y*p + 24 = 4 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20425 + 74677 = -1644*p for p.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1054, 4344, 9796, 17380, 27066, 38824, 52624, 68436?\n\"Answer: -5*r**3 + 1111*r**2 - 8*r - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54 - -59. Suppose 0*p - 15 = -u*p. Does 12 divide (48\/9)\/4*12*p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 6*o**3 + 35*o**2 + 13*o + 13. Give z(-5).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 69948?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6464 is divided by 109?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2263 - 2264. What is the second biggest value in -5, -25, 1\/11, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 476050 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 41972*n - 2770127. What is c(66)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b*f**3*r - 2*b*f**2*r + b*f*r - 85*f**3*r**2 + 3*r**2 wrt f.\nAnswer: 12*b*r - 510*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 7*h + 18. Calculate g(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 11*k - 394 = -330 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k\/k**(-2\/7))\/k*k**(-2\/3)\/k)\/(k*k\/(k*k*k*k**(-1)\/k))**(-1\/12) assuming k is positive.\nAnswer: k**(59\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3067464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 473372 is divided by 2558.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -304*f**2*o + 18*f*o - 664*f - 61557233*o wrt f.\nAnswer: -608*f*o + 18*o - 664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-6))\/((-18)\/8)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*0*132\/132\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**4 - 3*t**4 + 2*t**4 + (3*t**3 - 3*t**3 + t**3)*(0 + 2*t + 0) - 3*t**4 - 3*t**4 - 2*t**4.\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(8\/13)\/((u**(-24)\/u)\/u))**(-1\/5) assuming u is positive.\nAnswer: u**(-346\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 141 - 88. Let j + i**2 + 2*i**3 - 53 - 2*i**2 - i**4 = 0. What is i?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2\/221, 5 in increasing order.\nAnswer: 2\/221, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 477 - 480.81. Let m = n - 0.89. Let r = 0.7 + m. What is the third smallest value in r, 2, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -4*n - 409 + 458, -4*n + 48 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -38*z - 3926. What is q(-107)?\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k\/(k*k**(1\/4))*k*k*k*(k*k**(-2\/5)*k)\/k*(k\/(k\/k**3))\/(k*k*k\/(k\/k**1))*(k**0)**27*(k*k**(2\/3))**3 assuming k is positive.\nAnswer: k**(187\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*l**2 - l**2 + 2*l**2 + 9 + 2 as t + s*l**2 + v*l and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 10:51 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 33*f - 63*f + 34*f, 0 = 4*j - 5*f - 24 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t = 6*t + 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 134, 52844, -1, -4 in descending order.\nAnswer: 52844, 134, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11257 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**2 - 10*n**2 - 2*n**2 + 3*n**2.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 558 = 3*n - 3*r + 33, -n + 175 = r. Suppose 5*d - 385 = -4*m, -2*m + n = -0*m - d. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 39*o**3 + 5*o**2 - 54*o + 40. Let v(t) = -26*t**3 - 3*t**2 + 36*t - 25. Calculate 5*p(q) + 8*v(q).\nAnswer: -13*q**3 + q**2 + 18*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/((-80)\/10 - -5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of p**4\/22 - 2*p**3\/11 + 3*p**2\/11 - 2*p\/11 + 9. Solve u(k) = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h*k**4 + 4*h + 306890*k**3 - 17*k**2 + 45222871 with respect to k.\nAnswer: -4*h*k**3 + 920670*k**2 - 34*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27257 + -81772\/3. Let w be -2 - (-2 + (-12)\/62). Which is the biggest value? (a) w (b) 0 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 4*t + 56, -5*t - 153 + 249 = -39*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.1 - 11. Is r equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (9 - -1) + -25?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 10*n**3\/3 + n**2\/2 - 1. Suppose -2*f = -3*p - 13, -5*p - 4*f - f + 20 = 0. What is the remainder when a(p) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - ((-4 - 45) + -5 + (8 - -29 - 35)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -70*b + 83*b - 520. What is the highest common factor of b and 980?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 13. Let a be (f - (3 + -1)) + 0. Find the first derivative of 1 + p - 4 + a wrt p.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1424 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (231\/(-693))\/((-1)\/3)*-19\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.01 - -1.61. Put 1, s, 5, -0.2 in decreasing order.\nAnswer: 5, 1, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.159 + 3.359. What is the closest to u in 0.03, -12, 2, 4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 51\/(-34)*(-10)\/6. What is the closest to -0.1 in 5, 0.1, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23658836 or -23658839?\nAnswer: -23658839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**2 + w**2 + w**2)*(-486 + 19*w + 3*w + 484 + (-4 + 4 + 3)*(-2*w + 0*w + 3*w)).\nAnswer: 50*w**3 - 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 7 = -83. Is 13 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2652513, -2653272, -2654537, -2656308?\n\"Answer: -253*a**2 - 2652260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + y + 3*i - 213 = 0, -4*y = -2*i - 198. List the prime factors of y.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (6 - 14) + 4 - (1 - 24)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2892, 2886, 2878, 2868?\nAnswer: 2856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaavvvvvavaaa. Give prob of picking 2 a and 1 v.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18308?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-18))\/(((-340)\/24)\/(-17))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 6*o**2 - 227*o + 1765. What is a(27)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137*-26.8434.\nAnswer: 3677.5458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r - 17. Suppose 0 = -u + 3*u - h + 15, u - h = -9. Let b(x) = x + 6. Let k(t) = u*c(t) - 21*b(t). Is k(-12) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m - m**3 - 1\/4 - 1\/4*m**4 - 3\/2*m**2.\nAnswer: -(m + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -142\/18371, -3\/8, 6, -5\/3 in decreasing order.\nAnswer: 6, -142\/18371, -3\/8, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*1\/1*39\/((-8658)\/1110)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -36*p**2 + 352*p + 1506. What is t(13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -6 - 36\/10)*6265. Suppose 12*a - q = -2*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -60 + 87. Suppose 0 = -5*f - a + 127. What is the remainder when 52 is divided by (-2)\/(-8) - (-355)\/f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*m**2 + 227*m**3 - 203*m**2 + 281*m**2.\nAnswer: 227*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 10*a**3 + a - 1. Suppose -s - 1 = -2*s. Let q be h(s). What is the units digit of (-5)\/10 - q\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 317.04.\nAnswer: 1268.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b**3*h*u + 389*b**3*u - 2*b**2*h*u - 3*b*h*u + 7*b*u + 2*b + h*u - 9*h wrt b.\nAnswer: 18*b*h*u + 2334*b*u - 4*h*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8724.19 rounded to the nearest one hundred?\nAnswer: 8700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 7 - 29. Are -2\/3 and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7742\/882 - 3*3.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -213414000 (base 5) in base 2?\nAnswer: -11100000100101000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 2*w + 335, -70 = o - 0*o + w. Let k be 22\/110 + (-167)\/o + -1. Which is smaller: k or 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345846 is divided by 637.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 71 + -44 + 6\/2. Suppose -2*r + 75 = -r. Calculate the greatest common divisor of o and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -323, -425, -625, -971, -1511, -2293, -3365?\nAnswer: -4775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 11) in base 13?\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -58*z**3 + 3*z**2 - 3*z - 5. Is u(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2191*g**3 + 1923*g**3 - 4115*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -229 - -231. Suppose -s - 3*m + 29 = -3, -g*s = -2*m - 48. Is 23 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrvrrtvbrvrbrvvvrt. Give prob of picking 2 v and 1 t.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -13. Suppose i = 2*v - 25. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52544?\nAnswer: 2, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*n**2 + 50*n**2 + 73*n**2.\nAnswer: 147*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w**4 - 9*w - 3. Let k(d) = -7*d**4 + 17*d + 5. Let z(s) = -5*a(s) - 3*k(s). Find the second derivative of z(n) wrt n.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 - (13 + -20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m + 37. Let j(k) = -k - 36. Let x(q) = -5*d(q) - 6*j(q). Let p be x(-18). Let l be (-2)\/(4*(-5)\/390). What is the greatest common divisor of p and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -j**2\/2 + 10*j + 4. Let v be q(13). Find the common denominator of -25\/16 and (-1393)\/42*v\/14 + -3.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 66, 96, 156, 258?\nAnswer: 414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*-2*(-44)\/(-48).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 170.3 - 170. Let s = -82 - -575\/7. What is the nearest to 1 in s, a, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, c: 10}. What is prob of sequence rccr?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9*(-1 + 5)\/(1 + 2). Suppose -8*c + 8 = -t*c. Is 56 - (c + -1 - -7) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.4 - 0. Let q = -23.4 - -23. Let t = 0.3 + q. What is the closest to t in b, -3, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of l**4\/12 - 4*l**3\/9 + 5*l**2\/6 - 2*l\/3 + 5. What is y in c(y) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -1004*u + 501*u - 1 + 502*u. Let b(g) = g**2 - 5*g - 5. Let c be (1 - 6)*(-2 + 1). Let j = c - 3. Calculate j*b(x) - 10*h(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3174334242 + -1?\nAnswer: 3174334241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 298\/7 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59452989 to the nearest integer?\nAnswer: 7711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11321 (base 5) to base 16.\nAnswer: -344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 854125055.\nAnswer: 5, 7, 239, 102107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 19 = 4*b, 4*b = m - 3*m + 22. Solve 41 = -4*o - 0*w - 5*w, 4*o - 4*w - b = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/6 of a minute?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 15 = 0, -2*v + 32 - 2 = -4*h. Let s = -0.39 + 0.06. Let p = s - -0.03. Which is the biggest value? (a) v (b) -5\/4 (c) -2\/5 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(8\/3)*m*m)\/m*m*(m**(-3\/2)\/m)\/m)\/(m**(-2\/37)*m\/m**0) assuming m is positive.\nAnswer: m**(49\/222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 6:48 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -6 (c) 7 (d) 55 (e) 4 (f) -3 (g) -9\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 121*u**2 + 3626*u + 233. Determine l(55).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -4*v**3\/3 - 16*v. Let a(k) = -7*k. Give -6*a(n) + 5*d(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4 + 2772\/(-4))\/(-1)?\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/8*-2*0. Suppose 9 = 5*b - 2*b. Suppose 5*w - 50 = 2*a, n = -0*a - b*a. Calculate the highest common factor of 15 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 10:25 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 r, and 1 v when three letters picked without replacement from trrrrrrvbbtrbrvrrrv.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.34 (b) 0.3 (c) 2 (d) -6\/7 (e) -0.4 (f) 2.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 30*q**5 + (-1 + 2 - 2)*(5*q**5 - 4*q**5 - 2*q**5) + 4*q**5 - q**5 - 5*q**5 + q**5 + 4*q**5 - 3*q**5.\nAnswer: 31*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + -13. Let t = 7.93 + 0.07. Let f = m - t. What is the closest to f in 2, -4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u - 127 = -99. Let k be (-50)\/(-24) - 1\/3. Is k less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 142813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 0 = 2*v, -2*w + 33 = 5*v. Suppose 3*u + 2*u = -q - 16, 5*u + 36 = w*q. Suppose 0 = 5*x + 3*f - 27 - q, 19 = 2*x - f. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2133 - -2130. Do v and 42\/25 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 12 = 3*z - 10, 1249*z - 68 = 1261*z + 5*c - 64 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5022\/15917 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) 0.4 (b) -164 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 38, -3, 30, 21, 362.\nAnswer: -3, 4, 21, 30, 38, 362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-63))\/((-1099)\/(-42) + -26)\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(6\/7)*a**(1\/7)*(a\/(a\/a**(1\/5))*a)\/a**(2\/9) assuming a is positive.\nAnswer: a**(89\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w + 1 + 0*w + 0*w. Let t(i) = -14*i + 4*i + 14*i - 3. What is 6*l(r) + 2*t(r)?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -1964*i. Let o(w) = -25*w - 1. What is o(g(l))?\nAnswer: 49100*l - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 16.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7964 - 7949. What is the closest to x in -0.5, 10, 0.4?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -36, -29, 3\/4?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + 2. Let z(j) = 3*j - 13. Let c be 7*(144\/(-21))\/(-4). Calculate the remainder when z(c) is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 493 and 5?\nAnswer: 2465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, z: 1, j: 4, e: 1, i: 1}. What is prob of sequence ij?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -0.5, -17, -0.2, -0.22?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 303 + -300. What is the third smallest value in -0.4, -0.5, -17, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(2\/4 + (-3852)\/(-8)). List the prime factors of 2\/(24\/x) - 4\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.5, 44, 0.4, -3, -2\/309, -0.1?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 - 15 = -2*m - 2*z, 3*m = 5*z + 219. Suppose 2*f = -5*v + 260, v = -f - 13 + m. Is 14 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -2*o**3\/3 - 4*o**2 - 7*o - 1. Let m(a) = a**2 + a - 1. Let h(b) = m(b) - y(b). Factor h(c).\nAnswer: 3*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 220, 240, 58, -326, -912?\n\"Answer: -101*o**2 + 323*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 26*l + 15. Let b = -1272 - -1247. Calculate u(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 730915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-7)*z*z\/z**5*((z\/(z\/((z\/z**7)\/z))*z)\/z)\/z*z*z*z**(-5))**7 assuming z is positive.\nAnswer: z**(-133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - (18 + -51 + 75)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 136, 0, 3, 5, 2, -74 in increasing order.\nAnswer: -74, -1, 0, 2, 3, 5, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.5 - -6. Let y = x + -2.49999987. Round y to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 2*i - 8, -31*t + 35*t + 21 = -i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 130*f**2 - 620*f - 131. Give l(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1063 - 18065\/17. Which is greater: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 2*x - 2. Let i be s(4). Suppose 0 = 5*f + q - 48 + 38, -5*q + 24 = -f. Sort -6, i, f in descending order.\nAnswer: f, -6, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*b**4 + 545574*b**3 + 1919753*b?\nAnswer: 60*b**2 + 3273444*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (116\/((-12)\/(-3)))\/(-12) and ((-30)\/105)\/((-8)\/226).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5942?\nAnswer: 2, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -13*w**4\/12 - 5*w**3\/6 + 2*w**2 + 35*w - 19. Let c(v) = -6*v**2 - 2*v + 2. Give -7*c(r) + 3*g(r).\nAnswer: 3*r**2 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times 103?\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 406, 2, -15 in decreasing order.\nAnswer: 406, 2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2 + 8*y + 17. Is w(-13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 402193 and 792?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 989795 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44836.059 - -44906. Let h = j - 70. What is h rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2221222100 + -10?\nAnswer: 2221222020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 7*z**2 + z + 6. Let g(s) = -s**3 - s**2 - s. Let v(f) = 2*g(f) + t(f). What is the common denominator of v(4) and -115\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12011221101100 - -11?\nAnswer: 12011221101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y + 2. Let t be u(-3). Suppose -t = -4*s - 0, 5*f + 3*s = 81. Factor 3*o**2 + 11 + f - 18*o + 1.\nAnswer: 3*(o - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bcuccbccccuc. Give prob of picking 2 c and 1 u.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24200832.\nAnswer: 2, 3, 19, 31, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2218, -3986, -5754, -7522?\nAnswer: -9290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 - 0.4. Let l = -3.92 + 4. Let y = l - -0.32. Which is the closest to r? (a) -0.1 (b) y (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 15 = 3*a, 46*a = 44*a - 3*u + 15 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-390)\/285*-4*19\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*q**2 - 42*q**3 - 42*q**3 + 16*q**3 - 1 + 75*q**3 - 119*q**2 to the form x*q + d*q**3 + m + r*q**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0 + 88 - 50\/25 is divided by ((-117)\/(-12) - -1) + 1\/4.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -196, -488, -968, -1678, -2660?\nAnswer: -3956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 3. Let l be (u\/(-20))\/((-1)\/(-2)). Let i = -2 - 0. Sort i, -4, l in increasing order.\nAnswer: -4, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*f - 3*k - 27 = 38*f, 40 = 5*f - 4*k for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-6)*o**9*o\/(o**3*o)*o**(-2\/25) assuming o is positive.\nAnswer: o**(-2\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 68*i**3 + 6*i**2 + 2*i. Let m(b) = -b**2 - b. Let s(w) = 2*m(w) + n(w). Suppose 3*t = 8*t + 15. Let k be s(t). Round k to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.516 + 0.61. What is b rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-67711)\/(-34) - (-1)\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 888 and 67636.\nAnswer: 405816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 1 (c) 0.998 (d) 4\/11 (e) -2\/21 (f) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29070435\/19414852 - -6\/4853713. Let u = f + 3\/1124. Factor 0 - u*m**2 - 6*m.\nAnswer: -3*m*(m + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, b: 8, u: 2}. What is prob of sequence buu?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/4 and 71\/678.\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1275929 and 3647.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-20)\/(-25))\/((-2)\/(-20)). Let m = 3017 + -3011. Solve -m*q = -d*q - 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4750 or -4803?\nAnswer: -4750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21351?\nAnswer: 3, 11, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12879 - -12879.0000011613. Round s to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, g: 7, k: 2, r: 1, u: 1}. What is prob of sequence kork?\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 70 - 65. Let u be ((-21)\/12)\/(g\/(-60)). Suppose -2*v = -4*o + u + 1, -v = -3*o + 16. Solve -o*f - 25 = -0*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty ninths of a week in minutes?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18541273613 less than -8?\nAnswer: -8.18541273613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 947194481 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-5))\/((-6)\/(-30)). Let b(g) be the third derivative of 2\/3*g**3 + 0*g + 1\/24*g**4 + 0 - g**z. Determine b(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 12 = 2*a. Suppose 5*z = -4*g - 8, -g + 0*g - a*z = 2. Is 12 a factor of g\/4*-2 + 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-1)*r)\/(r**(-3\/2)*r))**(8\/5) assuming r is positive.\nAnswer: r**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20*(1126\/12949)\/((-10)\/(-92))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 4*n**2 - 7. Let q be k(5). Let o = -15 + q. Solve 3*a = 2*c - a - 10, -3*a = o*c - 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*h*u**3 + 46*h*u**2 + 2*h*u + 8*h + 176*u**5 + 16*u**2 wrt u?\nAnswer: 48*h + 10560*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-8)*1*8\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 4*p - p - 17 = 0, 205*k - 93 = 127*k + 161*k - 2*p for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by (-358)\/(-12) + (-2)\/(-12).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cj when two letters picked without replacement from jdcjbjdcjdjdjjdjjddd?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.4 times -936?\nAnswer: -35942.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 114859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 - 25. Suppose j = -q + 7. Let z = 36 + j. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -i**7\/735 + i**6\/420 + i**5\/210 - i**4\/84 + 8*i**2. Suppose l(p) = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pnr when three letters picked without replacement from rncppccjsccccn.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3670467708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -848*d**2 + 288*d**2 - 292*d - 284*d + 575*d.\nAnswer: -560*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 254234909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a factor of 80972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.658514 decades to centuries.\nAnswer: 0.8658514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**3 - 2*v**2 - 74*v - 70 = 0. What is v?\nAnswer: -5, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 7:36 PM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/7)\/((-18)\/(-189)) + 7.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 1378?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208428 = -169*f + 203696 for f.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.04, -5, 1.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (416\/(-130))\/(6\/(-1215) - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1311344 * -0.3\nAnswer: 393403.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(((n*n**(6\/11))\/n)\/n))\/n)\/n)**(3\/4)\/((n\/n**(-8\/9))\/((n**(-1\/28)*n)\/n)) assuming n is positive.\nAnswer: n**(-6469\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a millennium in centuries?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-12) - 11932\/16. Let p = u - -762. Find the common denominator of p and (2*606\/(-8))\/(8 - 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -1 - o**2 - 14*o**3 - o + 2*o**3 + o**3 + 2*o**2. Let h be t(-1). Solve -7*n = -3*n + h for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 3) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqbxzzabl. What is prob of picking 1 l and 2 z?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qca when three letters picked without replacement from wcvkvcqqkkvqwa.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*g - 129161 = -128201 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001010000 - 1101011110?\nAnswer: -11110101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(((-24)\/(-9))\/(-4)). Let i be (8\/(-32))\/(2\/(-40)). Suppose -4*h + 24 = 3*k, 3*h - 10 = i*k + 8. Solve -3*v - o = h for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1111 - 1108. Solve w*z + 18 - 15 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1454 divided by -727\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 21 = -w - 5*p, -5*w = p + 33. Which is bigger: w or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/(-9) + 2 + (-4)\/(-18). Let l(z) = 2 - 1 - 5*z**2 - 3 + v + z**3 - z. What is l(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -92929 - -133405. What are the prime factors of s?\nAnswer: 2, 3, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18210 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 2\/3, -3, -1.2, -2\/31, 65?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - -4)\/(-2 - -3). Suppose 3*x = i + 163, -3*i + 105 = 2*x - q*i. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -564133, -564134, -564135?\n\"Answer: -j - 564132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (-12)\/(-3 + 7). Suppose 0*k - 948 = -z*m + 4*k, -4*m - 5*k + 742 = 0. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101002202102 (base 3) in base 13?\nAnswer: -6c674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 570580523 to the nearest integer?\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21232?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 145826437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4336997*t**2 + 8673969*t**2 - 4336975*t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -108.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -518 = -4*d + 2*f, -2*f - 3*f = -5*d + 660. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 3f?\nAnswer: -3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 287731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*t + 2*k - 6, 4*t + 2*k - 8 = 0. What is the nearest to t in 2\/29, -5, 0, -0.5?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7170 + -7169.99894. Round m to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.2 times -164.8?\nAnswer: 3493.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5864 - 3816. Does 25 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3403*x = 225220 + 27888 + 12326 for x.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-135 + 379 - 111)*(0 - 1 + 2)*(z + 0*z - 2*z)*(2*z + 5 + 13 - 2).\nAnswer: -266*z**2 - 2128*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -179 or -177?\nAnswer: -179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -4 (c) 1 (d) 4 (e) -2 (f) 10.7 (g) 2\/75\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + -17 - -30 - 52.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*(6*(-5 + 0 + sqrt(243)) - ((6*(sqrt(243)*2 + sqrt(243)) - sqrt(243)) + 3)))**2.\nAnswer: 7128*sqrt(3) + 30699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -320 + 1?\nAnswer: -31f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 + 7*v**2 - 5*v**2 - 5*v**3.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1532\/559 greater than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2. Let s(o) = -o**2 + 9*o - 10. Let k be s(7). Let b = k + -3. Let q(l) = -l. Let i(f) = 12*f. Let n(d) = b*i(d) + 3*q(d). Calculate n(z(w)).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1646, -13229, -44650, -105821, -206654, -357061, -566954, -846245?\n\"Answer: -1652*s**3 - 7*s**2 + 2*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2158632 divided by 10.\nAnswer: 1079316\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 16 + 2 = 0. Suppose -278 = -j*p - 98. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132)\/sqrt(4) + sqrt(33) + sqrt(33))*-2)\/((sqrt(192) + sqrt(12) - sqrt(12))\/sqrt(4)))**2.\nAnswer: 99\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 6*a - 92. Let z be (0 + -12)*(-456)\/16. Suppose -3*o = -2*t + 337, -2*t + o + 3*o = -z. What is the greatest common factor of a and t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14\/2*(919156\/196 + -20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 11350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1259481, -2518644, -3777807?\n\"Answer: -1259163*h - 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 118 + -36. Let g = p - 34. Let w = -48.0014 + g. What is w rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 16 = -p + 4*q, 0 = -p + 3*q + 1. Let a = p + -2. What is the biggest value in -71, -1\/3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b1b (base 14) to base 2.\nAnswer: 100010000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61758*s - 61763*s = 5*j - 40, -2*s = -3*j + 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/56 - ((-77)\/(-22))\/7. Which is the closest to -15? (a) 0.4 (b) 7 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 275 = 3*k. Suppose k = 5*l - 10. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 10590*u - 5951. Is d(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2 - 2*s - 8. Determine g(6).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2801500?\nAnswer: 2, 5, 13, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 3:47 PM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88080 and 51640?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a = -19*a - 5*m - 2600, -4*a - 3*m = -2108. List the prime factors of a.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3 - 565644*m**2 - 1131276*m - 565636.\nAnswer: -4*(m + 1)**2*(m + 141409)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 197*p*y**3 + 5*y**3 + 42*y**2 wrt p?\nAnswer: 197*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1210 and 237906086?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -58*c**5 + 10006*c**2 - 676276978 + 676276978 + c + 41*c**4 wrt c?\nAnswer: -3480*c**2 + 984*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 1 (b) -5 (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 7:08 PM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t = 12*t - 22. Let h(v) = v**2 - 4*v + 6. Is h(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6703017*p**4 + 582*p**2 - 728.\nAnswer: 160872408*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6503211?\nAnswer: 3, 11, 13, 31, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17096?\nAnswer: 2, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 10 = 0, -5*n = 5*y + 5484 + 21896. Let c = -98629\/18 - n. Find the common denominator of c and -23\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11dee63 (base 16) in base 6?\nAnswer: -1505345351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -291.0982 + 291. Round y to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 125 (base 7) to base 10\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 greater than or equal to -32689.14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 70725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.941 + 0.059. Suppose -4*y = 2 - 6. Which is smaller: y or r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25014 rounded to two dps?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 29135853*r. Let j(d) = 2*d**2. Determine x(j(p)).\nAnswer: 58271706*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d + 6. Let i be t(0). What is the third derivative of -20*k**2 + 20*k**i - 6*k**6 - 4*k**2 wrt k?\nAnswer: 1680*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 14*l + 8. Determine o(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -156, 39, 3, -1, -0.2, -39, 5.\nAnswer: -156, -39, -1, -0.2, 3, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/8 of a millennium?\nAnswer: 31500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11, 78, 233, 512, 951, 1586?\n\"Answer: 6*d**3 + 8*d**2 + d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(140))\/sqrt(5) + 2.\nAnswer: 2 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*z - 231*z = 165 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68, 252, 548, 944, 1428, 1988?\nAnswer: 2612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -125*r - 503. What is k(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 6:37 AM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 175498 to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence apza when four letters picked without replacement from {k: 1, a: 2, p: 1, o: 1, z: 1, l: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -78\/259 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 226629 and 2682?\nAnswer: 1341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 - -2.8. What is the second smallest value in 1, c, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 62814*m + 4 - 5.\nAnswer: -62814*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4178, 8390, 12602, 16814, 21026?\nAnswer: 25238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -12*q + 30. What is the third derivative of 13*l**3 - 6*l**2 - 24*l**3 + 2*l**4 - 25*l**q + 1 + 0*l**3 wrt l?\nAnswer: 48*l - 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/5*(1 + -2). Let g be 51\/(-2) - (-5)\/o. Let x = g + 36. What is the least common multiple of x and 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1587.9993844 - 1588. Round z to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, y: 1, l: 1, c: 4, o: 2}. Give prob of picking 1 c and 1 o.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 266\/14 - 21 - 8.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 217044 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264252913.\nAnswer: 17, 41, 271, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/40*(-136)\/16.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 187.7 - 226. Round x to zero decimal places.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328072?\nAnswer: 2, 23, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5137620 + 32?\nAnswer: -5137588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 588601?\nAnswer: 5886010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + m = 0, 12 = -2*l - m. Let o = -4 - l. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 - -63. Let n = q - 20. Calculate the remainder when 2 is divided by n - -5 - ((3 - 4) + 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16753 - -84383\/5. Let b = 124 - r. What is the nearest to 1 in b, -0.5, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 4*r**2 + r. Let l = -7505 + 7501. Give p(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 12:24 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n - 15. Let i be r(5). Suppose 2*f - 118 - 24 = i. Is 15 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -4*q, -7*n = -2*q - 8*n. Solve -13*r + r + 12 = q for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -3964*s + 3966*s + 1, 28*y + 2*s = 114 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 w, and 2 j when four letters picked without replacement from jjvcwdvdvcvvcvjdcjv.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -608 + 10*f + 608 - 4*f + 4*f + 2*f + (0 + f + 0)*(-3 + 1 + 3) + f + 0 + 0 + (2 + 0 - 4)*(-2*f + f + 0*f) as r + s*f and give s.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 581 a factor of 183394512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(176) + sqrt(176)*2 + sqrt(176))*5 - -2*sqrt(176)*5) + (-2 + 5 + -5*sqrt(176))*-1)**2.\nAnswer: 560*sqrt(11) + 215604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, o: 1, r: 4, z: 3, b: 2, s: 4}. What is prob of picking 1 b, 1 i, and 1 s?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(77)*-2*-1)\/(5*(sqrt(7) + (sqrt(448)*1 - sqrt(448)))) + 4.\nAnswer: 4 + 8*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 886 is divided by 90?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -11\/50 (b) -3 (c) -9 (d) -4 (e) -52 (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 393685 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d**2 - 11*d**2 - 7*d**2)*(-10*d + d + 17*d).\nAnswer: -96*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*y - 9*y - 2*c, 5*y - 7*c = 65. Sort -3, y, -1, 2 in decreasing order.\nAnswer: y, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g - 5. Let y = -12 - -5. Let c be q(y). Suppose -z - c + 15 = -d, -4*z - d = -27. Calculate the lowest common multiple of 14 and z.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102110515 (base 6) to base 13.\nAnswer: -4a5268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -8*l**3\/3 + 4*l - 2. Differentiate z(a) wrt a.\nAnswer: -16*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 8 = 2*i. Suppose 2*j + 4 = 2*c, -i*c + 4*j = -c - 12. Find the second derivative of -c*l + l + l + l**4 wrt l.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25097 is divided by 4146?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3214, 3320, 3426?\nAnswer: 3532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 6*c - 1. Let v be f(3). Let l = v - 5. Suppose -28 = 3*y - t - 79, y - 5*t - 3 = 0. What is the greatest common divisor of y and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21138315443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 6972 = 4*a, 4*h - 3*a - 3760 = 3212. What are the prime factors of h?\nAnswer: 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 3*d**2 + d - 9. What is q(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150551\/30 < 5019?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0515011 and 0.3?\nAnswer: -0.01545033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 9:37 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 169 and 191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(77) + sqrt(77) + sqrt(77) + (sqrt(77) - sqrt(77)*-1*2)))\/((3*(-2*sqrt(88) - sqrt(88) - sqrt(88)) - sqrt(88))\/sqrt(8)).\nAnswer: 12*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -95.7 + 112. Let h = t + -14. Does h = -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, x: 3}. What is prob of picking 3 f?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -0*q. Suppose q*d + 7 = 4*t + d, -t + 4 = -2*d. Solve -3 = t*x - 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oeet when four letters picked without replacement from eqqqqtteqeeeeeoeeqq.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, 4\/7, -3.9, 1\/44, 3, 3\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184*t = -149*t - 1620780. What is the greatest common factor of t and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 181, 218, 443, 940, 1793, 3086, 4903?\nAnswer: 7328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.448*-4\nAnswer: 1.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-30)*(0 + -15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39925 + 616*h**2 + 20*h + 39925.\nAnswer: 616*h**2 + 20*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjssij. What is prob of sequence iy?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 6 - ((1 - 0) + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9384 and 3450?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a + 23*a = 14. Solve -3*b + 4*x = 3*x + a, 0 = -3*b - 5*x - 8 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0)**(-12\/5)\/(u**5*u\/((u*u**(-6))\/u)))**(26\/7) assuming u is positive.\nAnswer: u**(-312\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 52 = -12 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 269, 270, 293, 350, 453, 614, 845, 1158?\n\"Answer: 2*s**3 - s**2 - 10*s + 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8356*y**2 + 2122*y**3 - 8356*y**2.\nAnswer: 2122*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(528)\/(sqrt(36)\/sqrt(3))*3)\/((-2*sqrt(80))\/sqrt(5)))**2.\nAnswer: 99\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2260 divided by 5?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4167*c**3*j*m**3 + c**3*j - c**3*m**2 + 2*c**3*m + c**2*m**3 + 185*m**2 wrt j.\nAnswer: -4167*c**3*m**3 + c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from trdzdddqzdzt. Give prob of picking 1 r and 1 t.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 17 = 3, -2*c + n = -42. Suppose c*q = 24*q - 4010. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + (sqrt(162) - (sqrt(162) + 1)*6))**2*1.\nAnswer: -4051 - 90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**2\/19 - 2*h\/19 - 12\/19 = 0. What is h?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17876801 rounded to three decimal places?\nAnswer: -0.179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y - 2. Let p(k) = k - 2. Let h(j) = -3*p(j) + 2*x(j). What is h(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 2) + 2 + -1. Suppose 2 + h = g. Suppose g*a - 4*a + 4*k = 3, 2*a - 21 = -k. What is the remainder when 44 is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 201.976009 + -201.93. Round s to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 108*t**2 - 227*t - 608. What is f(-110)?\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - o**2 + o + 4. Let q be u(0). Suppose -4*s + 3*v - q = -3*s, 32 = 3*s + 2*v. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 7*o - 9. Let z(v) be the third derivative of -11*v**4\/24 + 13*v**3\/6 + 8*v**2 - v. Let p(m) = 8*r(m) + 5*z(m). Give p(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/11 or 17?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3892 = 2*y, -3*v = 4*y - 2*y + 3882. Let n = y + 38959\/20. Calculate the common denominator of n and -65\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, i: 1, w: 16}. What is prob of picking 1 b and 1 w?\nAnswer: 24\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x - 11*x = -126. Solve -5*y + x = y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 925\/24 + -77\/2. Let k(v) be the third derivative of -h*v**4 + 1\/120*v**5 + 0*v - 1\/420*v**7 - 9*v**2 + 0*v**3 + 0 + 1\/120*v**6. Factor k(p).\nAnswer: -p*(p - 2)*(p - 1)*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1790*s + 41029 + 18116 = -20706 + 10041 for s.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 49 (b) -0.39 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*o = -45, 2*d - 5*o + 6 = 21. Suppose d*j - 39 = 786. What is the highest common factor of 440 and j?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-27)\/15*1)\/((-2)\/(-10)). Is z + 7646 - (-1 - 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -163.807 and -0.3186.\nAnswer: -164.1256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-878)\/13609)\/(28\/(-248))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8091 + 8091 + 12*a**3 - 3*a**3.\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -902?\nAnswer: 903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -667, -663, -659, -655?\nAnswer: -651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 201116943*d*l**3*q - d*q + 14*d - l**3*q + 1989156*l**2 wrt l.\nAnswer: 1206701658*d*q - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1143390150?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2 - 265*m**3 + 2 - 793*m**2 + 30*m**4 + 538*m**3 - 268*m**3 wrt m?\nAnswer: 720*m + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16589 and 119879.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3569*i + 4645*i - 2206*i to the form o*i + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 7*i + 6 = 4*i, 4*i = b - 27 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.60421799 rounded to 1 dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 8*d**2. Let l(g) = -20*g - 1. Calculate s(l(w)).\nAnswer: 3200*w**2 + 320*w + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 24.7 times -0.26\nAnswer: -6.422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 + 5\/(90\/288) + 0 + 1426277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 775 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -120. Suppose -4*z = 2*v + 97 + a, -3*v = 4*z + 293. Let l = 20 - v. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (21\/2)\/7*2. Suppose 0 = h + m*h, 3*y = -3*h + 15. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2 + 3*m - 2. Let t be 3\/(6 - 3) + -4. What is n(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q**3 + 6*q**2 + 11*q + 5. Let j(b) = -2*b**3 + 6*b**2 + 10*b + 6. Let d(u) = -4*j(u) + 3*s(u). Let t be d(-6). Are t and 33 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -517719904 divided by 1244519.\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 676750418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -5*w**2. Let v(z) = -7*z. Let k be (-6)\/3 - (-44 - -3). Let u(t) = t. Let y(h) = k*u(h) + 6*v(h). Calculate p(y(q)).\nAnswer: -45*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 22, 45, 74, 109, 150, 197?\nAnswer: 250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -22. Let v(u) = -5*u**3 + 2*u**2 - 1. Let g be v(-1). Suppose -2*f - 11 = k - g*f, 2*f - 4 = 2*k. Put 5, k, m in ascending order.\nAnswer: m, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1379366 and 793518?\nAnswer: 2186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -26*v**5\/5 - 22*v**4\/5 + 56*v**3\/5 - 8*v**2\/5 = 0.\nAnswer: -2, 0, 2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1349 = -15*k + 1469. Solve -k*r + 5*r = -4*a + 16, -13 = 3*r - a for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 9:16 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3479472 to the power of 1\/2, to the nearest integer?\nAnswer: 1865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 189 + -108. Let w = -22 + h. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/18))**(2\/47)\/(n**(-1\/7)*n**(-17)) assuming n is positive.\nAnswer: n**(50767\/2961)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1423 is divided by 89?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + a + 244, 5*h - 3*a = 547 - 139. Let y be 18\/(-1 - 1)*-12. What is the highest common divisor of h and y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2738 - 279 + 291 - q.\nAnswer: -q + 2750","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*g = -4*w + 14, 0 = 31825*g - 31820*g + 2*w - 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) -1 (c) 11\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1151627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.08797 and 0.3.\nAnswer: 0.38797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - h + 18 = 0. Calculate the lowest common multiple of (-8)\/(-36) + (-16)\/(-9) and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49524519 is divided by 105.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-17)\/(d*(d*d\/(d**(-2\/45)*d))\/d))**14)**(-2\/5) assuming d is positive.\nAnswer: d**(22736\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 149, 430, 897, 1550, 2389, 3414, 4625?\n\"Answer: 93*p**2 + 2*p + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 209, 205, 191, 161, 109, 29, -85, -239?\n\"Answer: -t**3 + t**2 + 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5087 - 61081\/12. Calculate the common denominator of l and 13\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*s + 51*s = 2*t - 0 - 106, t + 5129 = 1294*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -4277.40411 to the nearest integer.\nAnswer: -4277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13.9 + -2.9. Let a = 11 - u. Which is smaller: a or -71\/4?\nAnswer: -71\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*n - 15. Suppose -n*f - 26 = 44. Let b = f - -37. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6653 - 6651) + (-1 - -7) + 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 138350040, 138350046, 138350054, 138350064?\n\"Answer: g**2 + 3*g + 138350036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2, -0.05, 5\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h**2 + 7*h - 12. Let i be k(4). Let m = 83 - i. Solve -m*l - 2*l - 25 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/9*g + 2\/9*g**4 - 32\/9 + 10\/3*g**2 + 16\/9*g**3.\nAnswer: 2*(g - 1)*(g + 1)*(g + 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58*o - 10*o**2 + 52*o - 73*o**2 - 108*o to the form h*o**2 + g + j*o and give h.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -8*c - 12. Give x(-7).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 214397 or 214402?\nAnswer: 214397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -6*t + 14. Suppose -t*u = -4*n + 4, -2*n + 1 - 5 = -4*u. Let z(l) = 3*l**3 + 2*l**2 - 2*l + 1. List the prime factors of z(n).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28 - (-14 - -21)) + 65\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.7 + 8.3. Let n = 7 - t. Sort 0.4, n, -3 in decreasing order.\nAnswer: 0.4, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(90) + sqrt(90)*-1 + sqrt(90))*-4)\/sqrt(6))\/(4*-1*sqrt(15)\/sqrt(5)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-30)\/20)\/((-6)\/8). Factor -958*v**2 + 8232 - 6468*v - 123*v**3 - 68*v**2 - 3*v**4 - 906*v**j + 294*v**2.\nAnswer: -3*(v - 1)*(v + 14)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o - 2. Let m be t(6). Let q(f) = -f**3 + 4*f**2 + 3*f. Let i be q(5). Let w be (-1)\/((4\/i)\/2). Solve -3*s = 2*k + w, 3*s + 4*k = -m - 9 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159793.\nAnswer: 159793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5*m + 15. Let h = -27 + 28. Let b be -5 + h - (2 - -7). Let f be x(b). What is the highest common factor of 32 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 7 = -27. Suppose 3*n = 3*p - 18, -2*p + n = -13 + 3. Suppose p*b + 5*y - 28 = 0, -b = -4*b - 3*y + 21. Solve -b = v*x + 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.184 + -0.084. What is the nearest to -0.2 in 5, 2\/7, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 150309098?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.66002 decades to centuries.\nAnswer: 6.866002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/6*27\/(-6). Let w be (-88)\/(-32) + 9\/(-12). Let m(a) = 0*a + 101 - a**w - 2*a + 4*a - 100. Give m(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/3)*g**(-15) assuming g is positive.\nAnswer: g**(-43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 58601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -221*l + 15. Let u(b) = -2*b - 5. Calculate -t(p) - 5*u(p).\nAnswer: 231*p + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = g + g + 4*y, 4*y + 12 = 0. Let w = -2 + g. Solve -a + 3 = 2*q, 4*q - w = 3*a - 2*a for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u**3\/3 + 645*u**2 + 312341*u + 935089\/3 = 0. What is u?\nAnswer: -967, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1126773729 to the power of 1\/3, to the nearest integer?\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 4*m + 0 + (4*m - 3*m - 2*m)*(-1 + 4 - 6) + (3*m + 0*m - m)*(0 + 3 - 2) to f*m + y and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(684\/(-15))*12\/(-10).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -2.8. Let b = 5730\/7 - 820. Let k = b - 1\/14. Sort d, -2, k.\nAnswer: -2, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11326*n + 22744*n - 11355*n + 22*n**2 + 3 to f*n + t + z*n**2 and give f.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -0.03, -2, 2\/7, -169?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of o**8\/1680 - o**4\/24 + o**3\/2 - 3*o**2. Let p(d) be the first derivative of i(d). Find the first derivative of p(c) wrt c.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 4, 17, -4, 177, 0 in decreasing order.\nAnswer: 177, 17, 8, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -214010411203?\nAnswer: 214010411212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 3*u**5\/8 - 465*u**4\/8 + 1371*u**3\/8 - 447*u**2\/8 - 687*u\/4 + 114 = 0.\nAnswer: -1, 1, 2, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1543 greater than -1543?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 10 = -2*b, -32*b - d = 14*b - 41*b + 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*g**4 - 8*g**4 - 5*g**4 - 8*g**4 - 2*g**2 - 3*g**3 to j*g**3 + o*g + l + v*g**2 + x*g**4 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z - 3*c + 28, 0 = -z + 3*z + 2*c - 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12014 - 6*k + 12014.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -567183504*r + 1284549243 wrt r.\nAnswer: -567183504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*j**5 + 1218*j**4 + 1534*j**3 - 106*j**2 - 432*j + 88 = 0. Calculate j.\nAnswer: -11, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4351 is divided by 206?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -411 + -62. Let o = -324 - u. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324 - 24 = -29*n for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7086175 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1639\/(-5) + (-24)\/20. Let i = z - -322. Let l(k) = k**2 + 5*k. Calculate l(i).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -b + 2*g, 3*b - 2*g + 23 = -7*g. Let x = b + 6. Suppose 0 = 3*z - 4*i - 0*i - 6, x = -z + 3*i + 2. Solve 0 = z*l - 5*a - 2 - 2, 5*a = 4*l - 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 475324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-163)\/(-150))\/1 - (-5242)\/65525)*2?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(4\/3)*z*z*z\/((z\/z**1)\/z)*z)\/(z*z**2*z**(-2\/5)))**12 assuming z is positive.\nAnswer: z**(224\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 8*x - 9. Let q be y(-9). Suppose 0 = 4*v + v - 15, -5*k - 5*v + 40 = q. Solve 5*n + 0*n + k = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 4323064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of 62*x + 0*x**2 + 0 + 1\/12*x**4 + 0*x**3. Let y(g) = -228*g - 2. Calculate y(w(k)).\nAnswer: -228*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 57*w - 534. Determine r(-45).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 0*m - 2*m + 427, -4*y = m - 576. Is y < 146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 7*n**3\/6 + n**2 + n. Differentiate x(m) wrt m.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 107 = 132 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b - 2. Let r be (1\/3)\/(4\/60). Calculate the remainder when 3 is divided by v(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 9:18 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5458436 is divided by 606492.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 0*a + 8 = -3*a, -1 = a. Suppose 8 = -t*u - 3*f + 28, u + 3*f - 4 = 0. Factor 28*x - 28*x + 4*x**5 + 6*x**u + 2*x**3.\nAnswer: 2*x**3*(x + 1)*(2*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4818 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81 - 910*m - 80 - 83 - 221 + 461.\nAnswer: -910*m - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-2\/3)\/x*x)**14*(x*x*x\/(x\/(x\/x**0)))**(-7)*((x*(x\/(x**(-8)\/x))\/x)\/((x**2*x*x)\/x*x))**(-2) assuming x is positive.\nAnswer: x**(-85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -110 + 109.945. Let o = 1.945 - j. What is the third biggest value in o, -5, 1\/11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 16 = x. Let y = 30.34 + -30.04. Sort -2\/3, 3\/7, y, x in ascending order.\nAnswer: x, -2\/3, y, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 133*y**2 - 26*y + 55. Let u(n) = 44*n**2 - 9*n + 18. Let f(v) = -2*r(v) + 7*u(v). Is f(2) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1646, -3647, -5636, -7619, -9602, -11591, -13592, -15611?\n\"Answer: -c**3 + 12*c**2 - 2030*c + 373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 280 divided by -70?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 12 + 17 - 1 - 27. Calculate w(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -163*j + 344*j - 172*j as q*j + x and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kukekhwwkkekkkewe. What is prob of picking 1 h and 1 u?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26734 is divided by 50?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6 - 24 = 5*y, 0 = 5*s + 3*y - 178. What is the remainder when s is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and -2311274.\nAnswer: -2311273.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -z**5\/60 + z**3\/2 + 4*z**2. Let o(g) be the first derivative of m(g). Let w(v) = 2*v - 2*v + v**2. Calculate o(w(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7516583?\nAnswer: 7516583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (872\/(-24) + 0 + 3)*90. Round n to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 261 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -9*o + 17 - o**2 + 3 - 39 + 2. Give q(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*c + 20 = 0, 2*q + q - c + 5 = 0. Suppose 20 = 2*d - q. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19959588 divided by -583.\nAnswer: 34236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -12\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.03 - 0.03. Let j = -5 - -3. What is the second biggest value in 1\/8, j, x?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6344 - 4344. What is the hundreds digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 502908503.\nAnswer: 229, 2196107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 4, -342, -4\/5, 5.2, 0.044?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 498 = 482. Suppose j - 4*j = 12, 0 = -2*a - v*j - 24. Sort 55, a, 0 in increasing order.\nAnswer: a, 0, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 256, 361, 200, -359, -1448, -3199, -5744?\n\"Answer: -22*t**3 - t**2 + 262*t + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 475585?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -77355, -79426, -81497, -83568?\n\"Answer: -2071*v - 75284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.11 * -12881.\nAnswer: 1416.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*f + n = -1, -5*f = -5*n - 35. Suppose 0 = -f*s - 4*i + 11, 3*i = -s - 3*s + 17. Is s a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 732082.7g to tonnes.\nAnswer: 0.7320827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/((14\/(-12))\/(-7)). Let n(t) = 2*t**3 - 3*t**2 + 4*t + 12. Let d be n(4). Calculate the highest common divisor of d and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 52 = 4*u, 24 + 16 = 5*u - 5*o. Solve 2*n - 3*k - 22 = 0, 0 = -u*n + 14*n - 5*k - 40 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177708.\nAnswer: 2, 3, 59, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 i when two letters picked without replacement from {b: 1, a: 2, x: 1, i: 4, n: 3, t: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 99*z**2 + 4*z - 2. Let b(q) = 50*q**2 + 2*q - 1. Let n(d) = -2*b(d) + t(d). Let x(r) = 689*r. Calculate x(n(a)).\nAnswer: -689*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1549 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qeqqqeeqqeeqq. What is prob of sequence eqe?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2238912 or -2238910?\nAnswer: -2238910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 292\/12969 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*(c**(-8)\/c*c)\/c*c)\/c)\/c)\/c)**(-21)\/(c**(-2))**23 assuming c is positive.\nAnswer: c**256","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 + h - 3*h - 66 - 72 + 3*h + 220.\nAnswer: h + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.04 or -71240?\nAnswer: -71240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -7, 4, 307?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**15*l**(-2\/3) assuming l is positive.\nAnswer: l**(43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -347*p + 1041. Let b be x(3). Factor -2\/5*c - c**2 + 7\/5*c**3 + b.\nAnswer: c*(c - 1)*(7*c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 3 - 5. Suppose t - 3 = -k. Factor 2\/5 - k*s + 2*s**4 + 4*s**2 - 4*s**3 - 2\/5*s**5.\nAnswer: -2*(s - 1)**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -572963.6 to the nearest 10000.\nAnswer: -570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and -369984144414.\nAnswer: -369984144409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 21 - 3. Let x be 8*(3\/3)\/(2\/(-46)). Let p = x + 557\/3. Calculate the common denominator of c and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -3*i**2\/2 + 65117508*i - 706714974688344 = 0.\nAnswer: 21705836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, h: 4, n: 4, m: 10}. Give prob of sequence pmmp.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -2*a**5\/105 + 3*a**4\/28 - 2*a**3\/21 - 3*a**2\/2 + 10. Let m(z) be the second derivative of l(z). Find v, given that m(v) = 0.\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0146985214 rounded to 3 decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 6:19 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = s + 15. Let t be (-3 - s)*2\/(-3). Is (-1 - -220) + (t - 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 5*r = -4*r + 110, -2*r = k + 22. Let z = k - -25. Suppose -p + z*o + 63 = -0*p, -2*o - 10 = 0. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -20*q**2. Let p(d) = d. What is r(p(t))?\nAnswer: -20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o**2 - 70*o - 107. Give y(-15).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1159392 at most as big as 1159392?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 34431053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7151387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d - 5. Let g(h) be the third derivative of h**4\/24 - h**3\/3 + h**2. Let j = 63 - 44. Let o = 29 - j. Determine o*g(a) - 4*t(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, d: 3, l: 2, e: 2}. Give prob of sequence ldoo.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - k - 159. What is v(14)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + -1 + 2)\/(-2). Let q(p) = -4 + 7*p - 4*p - 6*p + 2*p. Determine q(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 0, 9*k + w = 13*k - 3812. List the prime factors of k.\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*c + 98 + 315 - 60*c as m + i*c and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 5*u + 3, i - 7 - 2 = 4*u. Let r = -11 + 7. What is the closest to -2 in i, r, -0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 62*i**5 + 362*i**5 - 77*i**5 - 2*i**5 - 3*i**5 + 4*i**5 + (-2 + 3 - 2)*(2*i**5 + 2*i**5 - 3*i**5) + 0*i**2 - i**5 + 0*i**2 + 599*i - 599*i + 7*i**5.\nAnswer: 351*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 121731307*c*y**2 - 41*c*y + 2*c - 4183*y + 2 wrt y.\nAnswer: 243462614*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1565 and 21284?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13116613 - 472159997\/36. Let w = -4249\/4 + r. What is the common denominator of 7\/4 and w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3976 + 4010. Calculate the greatest common divisor of 2465 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*x + x**3 - 208 - 235 + 446 as h*x + g*x**3 + u*x**2 + l and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -11859*y - 260903. Give b(-22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 12 + 5 + 5 - 922*r**3.\nAnswer: -922*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 e when two letters picked without replacement from {q: 2, e: 7, t: 4, k: 1, m: 2, l: 1}.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -147, -238, -329?\nAnswer: -420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -3\/1142 (b) 4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(8\/7)*z)\/z)\/z*z**(-13\/4))\/((z\/z**(-18)*z)\/((z**(-5)\/z*z*z)\/z)) assuming z is positive.\nAnswer: z**(-787\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -360 + 522. Calculate the smallest common multiple of f and 20.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2530874?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -5*y, -7 = 3*k - y - 1 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1444979664?\nAnswer: 2, 3, 10034581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -78*o**3 + o**2 + o. Is 20 a factor of u(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280\/(-4560)*(920\/161)\/20.\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1120 divided by -7\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 2*m + 13. What are the prime factors of k(6)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 111\/7*k**3 + 0*k - 3\/7*k**4 + 114\/7*k**2 = 0 for k.\nAnswer: -38, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -61 - 11. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k + 2. Calculate s(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4*o**3 - 47*o**2 + 17*o - 19. Calculate r(-9).\nAnswer: -1063","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -102*l*u**3 - l*u**2 + 4*l*u - 2*u**4 + 3*u**2 wrt u.\nAnswer: -612*l - 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17102707 is divided by 3453.\nAnswer: 3451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60 - 36. What is the remainder when 44 is divided by v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -250 + 10262.\nAnswer: 10012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -383.3386 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**2 + 3120*s - 6260 = 0.\nAnswer: -626, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.06375 + -0.06375. Which is the closest to w? (a) 16 (b) -2 (c) 1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (351\/6825*-10)\/((-4)\/10)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 593*q + 5924. Does 181 divide w(27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a decade in months?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 1 = 2. Suppose 155 = 46*i + 109. What is the greatest common divisor of c and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-42)\/27 + 2 + (-4520)\/(-36). Suppose -n + 57 = -2*d, 6*d - 9*d = 3*n - u. Calculate the remainder when n is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -60, -74, -90?\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 2*k - 2 - 4, r = -2*k - 2. Solve 5*q = -3*f - r + 4, 2*f = -q + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -14355 from 97.\nAnswer: 14452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 4:01 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q + 18*q**2 - 167*q**3 + 168*q**3 + 0*q as o + a*q + x*q**3 + w*q**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8302727 and -4.\nAnswer: -33210908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.054525169 rounded to 3 decimal places?\nAnswer: -0.055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (l - 1 + 0*l + 3)*(-2*l**3 - 2 + 2) - 44*l**3 + 10*l**2 + 144*l**3 - 4*l**2 - 2*l**4 in the form k*l**3 + d*l + c + r*l**2 + j*l**4 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + -9. Let h(d) be the second derivative of -1\/6*d**3 + 0 - 5\/2*d**2 - 24*d. What is h(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.98724539 rounded to 4 decimal places?\nAnswer: 0.9872","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8\/20*(2\/(-34))\/((-987)\/(-1645))\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1768376167 to the nearest integer?\nAnswer: 1209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/23185 - 2480291\/3895080. What is the common denominator of g and -59\/6?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -692.8 - -602\nAnswer: -90.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 36*c + 9245. Determine q(116).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -20*b + 15. Let j(o) = -13*o + 10. Let q(v) = -7*j(v) + 5*n(v). Suppose -d = 9 - 3. Is 21 a factor of q(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 4*r + 2. Let q(h) = -h. Determine -q(j) + w(j).\nAnswer: -j**3 - 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 1. Let u be (-18)\/42 + 30\/21*1. Let q be (3 + -4 + u)\/(1 - -1). Sort q, -5, g in ascending order.\nAnswer: -5, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = u + 34, -341*f = -337*f - 5*u - 86 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 187, 277?\nAnswer: 367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8b (base 12) in base 11?\nAnswer: -98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 90 + -63. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -i**2\/5 + 268961*i\/5 + 806892\/5 = 0?\nAnswer: -3, 268964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2107.4 times -0.0695\nAnswer: -146.4643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55d (base 16) to base 13.\nAnswer: -818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 1944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 q when four letters picked without replacement from hiihhjjuiiiiuhijql?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 469 and 268.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 9*d + w - 178 = 0, -4*w = -12. Calculate the greatest common factor of d and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-41)\/(6 - 5 - (-6)\/(-4)). Suppose 87*h - 280 = d*h. Let k = h + -47. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43856 is divided by 10961?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1529, -3995, -6429, -8831, -11201, -13539?\nAnswer: -15845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o = -3158 + 2258. Calculate the remainder when 825 is divided by o.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -95*h**2 + 133*h**2 + 19 - 42*h**2 - 58*h**2 to the form q + d*h + t*h**2 and give q.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.02 - -0.02. Let i = 1176.4 + -164.4. Let p = i + -1014. Which is the closest to p? (a) 0 (b) l (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 634988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.033*2.232\nAnswer: -0.073656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 21*s + 2. Let z(i) = i**3 - 41*i - 5. Suppose -5*v - 19*h + 19 = -17*h, 4*h = -3*v + 3. Give v*l(m) + 2*z(m).\nAnswer: 2*m**3 + 23*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -2*v**4 - 3*v**2 - v - 3. Let q(n) = -7*n**3 - 5*n - 1. Let a(f) = -5*m(f) + 6*q(f). Differentiate a(o) wrt o.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*o + 89145 = 87465 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 9}. Give prob of picking 2 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-448)\/7)\/(19\/(266\/(-14)))*-1\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9465 - -18761. Does 14 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -145054, -145052, -145050, -145048, -145046, -145044?\nAnswer: -145042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*z + 3 = 0. Let v be (-6)\/(-4)*(z + 1). Suppose -t = v*m + 2*t - 12, 0 = 2*t + 8. Solve -4*q = m + 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7, 21, 45, 79, 123, 177?\n\"Answer: 5*m**2 - m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(7 + -1)*(6 - 6). Let y = 5 - 3. Suppose d*u**y - 2\/3*u**3 - 4\/3 + 2*u = 0. Calculate u.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1132 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3399*c**2 + 43*c + 30*c - 3402*c**2 - 12 to the form m + y*c**2 + i*c and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -10138*z - 2 - 15*z**3 - 2*z**3 + 2*z**2 + 10143*z in the form t*z + i*z**3 + r*z**2 + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10541?\nAnswer: 83, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of v**5\/12 - 65*v**4\/6 + 1690*v**3\/3 - 133*v**2. Determine y so that j(y) = 0.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**3 + 84*l**2 + 82*l + 179. Let q be s(43). Solve 7 = 11*j + q for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -15 in decreasing order.\nAnswer: 4, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5768 + 11333 - 5570 + 11*a.\nAnswer: 11*a - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007106265 rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*((-725)\/20)\/29.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -177*y**4 + 671.\nAnswer: -708*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 330*x**2 + 399*x + 22506. Calculate w(-331).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -1121610901 and 0.06.\nAnswer: -1121610900.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 912325?\nAnswer: 5, 36493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4194 - 2080 - 3000)*(3*k**3 - 2*k**3 + k**3).\nAnswer: -1772*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 26*g - 23*g + 9288 = 0, -2 = -2*g. List the prime factors of h.\nAnswer: 19, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -6) + (0 - -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5699 + 890 = 687*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j = -6*j - 33. Let w(y) = -y**2 - 3 - 2*y**2 + 4*y**2. Let d be w(j). Solve 0 = -d*u + u - 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 139507*l - 4185213. Give u(30).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*g**3 - 13*g**3 - 619*g + 11*g**3.\nAnswer: -27*g**3 - 619*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.049 (b) 3 (c) -4.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2.41 * 0.093\nAnswer: 0.22413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.5 and 1.134356.\nAnswer: -2.83589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 897 divide 49029127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Is 254541 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 7*m**2 + m - 3. Let h be k(-6). Suppose 3*v - 19 = 84*z - 80*z, -v - 1 = -5*z. Calculate the greatest common factor of h and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -5*o**2 - 5*o + o**3 + 12 - 20 + 6. Let q be a(6). Solve -y = -5*t + 3*y - 8, -2*y - 22 = q*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2668 and 1472?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, s: 2, l: 5, w: 4}. Give prob of picking 2 l.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (376\/752)\/((1\/(-16))\/(-1))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2 - 38*y + 7. Let t be z(-19). Solve -d + t = 2 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59 + 31 + -21 - (-10 + (-1 - -4))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -8*f - 4 + f**2 - 16*f + 42*f - 16*f. Let i be (-90)\/(-21) - (-2)\/(-7). Let x(r) = 5 - r + 2 - i. Calculate 4*x(h) + 3*z(h).\nAnswer: 3*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -3139260 and -21974830\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79126 is divided by 79110.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -257 - -253. Is 880 - (-2)\/(z\/(-12) + -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 12:52 AM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 3:10 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4128*a + 3 - 6 - 3232*a + 1098*a.\nAnswer: -6262*a - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -157*m - 103. What is the tens digit of b(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -4*h**3 - 2697312*h**2 - 454710159540*h + 2728358061336 = 0.\nAnswer: -337167, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7272449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of r**6\/180 + r**5\/24 + r**3\/3 - 6. Let s(p) be the third derivative of g(p). Let d be s(-3). Solve d*b = 2 - 11 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 253156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**(-2\/27)*m*m**8*m**(-4\/11)\/(m**21\/m*m*m) assuming m is positive.\nAnswer: m**(-3650\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - (-42 + (3 - -1)\/4). Let y = -38 + c. Let x(f) = -f**2 + 1. Calculate x(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114 - 390 + 26*p**2 + 276.\nAnswer: 26*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cn when two letters picked without replacement from gtnzcmc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 3, h: 1, q: 4}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of p**7\/210 + p**4\/8 - 4*p**3\/3 + 3. Let b(j) be the third derivative of a(j). Differentiate b(y) with respect to y.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 36*l**2 - 91*l + 354. Let c(o) = -o**3 - 48*o**2 + 91*o - 354. Let y(r) = -3*c(r) - 4*j(r). Find the first derivative of y(n) wrt n.\nAnswer: -3*n**2 + 91","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*a - 25 = 41*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (24\/(-612)*-17)\/(10\/375). Calculate the greatest common divisor of 17600 and v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*((-2*-2*sqrt(800) - (-1*sqrt(800) + sqrt(800))*4)**2 - (sqrt(800)*2 + -5 - (1 + sqrt(800) + 0))).\nAnswer: -12808 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v - 8*v + 35580 - 17733 - 17847.\nAnswer: -13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*q - 182998, 5*c + 304997 = -2*q - q. Round c to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20851 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + t**2 + t - 10. What is f(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*l**4 + 0*l**4 - l**4)*(-2 + 4 + 6) - l + l - l**4 + l**4 - l**4 + 3*l**4 in the form p + s*l + r*l**2 + y*l**4 + g*l**3 and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1994 + -1989. Let m(k) be the second derivative of v*k - 1\/2*k**3 + 0*k**2 + 0. Let d(y) = -y**2. Calculate m(d(i)).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/54 and 892\/(-96) + 40\/5.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49663 = 418*p + 2644*p + 902*p + 188177 for p.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1464 - -2983. Suppose 0 = 6*w - k + 109. Is w even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gpx when three letters picked without replacement from {g: 2, w: 2, x: 9, p: 3}?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 312 divided by -78\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-126)\/(-81)*(-195)\/(-26))\/(3\/9).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dndnpnomdm. What is prob of sequence mnm?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 91108000 rounded to the nearest one million?\nAnswer: 91000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31475*m**6 - 66060*m**2.\nAnswer: 3777000*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 4027 = -6*h + 4023, 12 = -4*c + 2*h for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzgz when four letters picked without replacement from {z: 12, g: 3, q: 2}.\nAnswer: 33\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -6*b + 4. Let g(v) = -31*v + 27. Let a(i) = 15*i - 13. Let x(w) = -9*a(w) - 4*g(w). Let t(z) = 5*f(z) - 3*x(z). What is the units digit of t(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 3) + 3 - -2 - (-1 - -7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4.29458 from 3.64561.\nAnswer: -0.64897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 575.8 + -576. Which is the biggest value? (a) -3 (b) j (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 4*f = 16, -10*u + 29*u - 15*f - 2*f + 14*f + 12 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2)\/(b**(-2)*b))\/(b**0)**(-35))\/(b**(-7)\/b*b*(b\/b**(-2\/3))\/b)**(-2\/17) assuming b is positive.\nAnswer: b**(-89\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10360*q**3 + 45*q**2 - 5*q + 3?\nAnswer: 62160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k**4\/2 - 39*k**3 + 153*k**2\/2 - 38*k = 0. Calculate k.\nAnswer: 0, 1, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 932 a factor of 2954440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*s**3 + 292*s**3 + 166*s**3 - 100*s**3.\nAnswer: 508*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -23, 3, -193, 0, -1, -5.\nAnswer: -193, -23, -5, -1, 0, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 205\/38 and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1069 divide 2925853?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 119432942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13)\/(0 + (-1)\/(-2)). Let k = -94 + 54. Let j = t - k. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11\/4*d**3 + 9\/2*d**2 + 1\/2*d**4 - 2 + d.\nAnswer: (d + 2)**3*(2*d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1357683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4\/21?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5748444*a**3*t**2 + a**2*t**2 - 87*a**2*t + 5*a*t**2 - 2*a + 373*t**2 wrt a.\nAnswer: -34490664*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 4*u + 38, 3*c - c = -3*u + 21. Is c\/4 - 9\/(-18) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g**2 + 8*g. Let v(a) be the second derivative of -a**4\/3 + 3*a**3\/2 - 19*a - 127. Calculate -5*t(b) + 4*v(b).\nAnswer: -b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 7, -2, -560, -3?\nAnswer: -560","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/2 (b) -5 (c) -0.07 (d) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 569083280.\nAnswer: 2, 5, 41, 173501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*b + 157 - 476 = 347 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 966 by -322.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 121429328?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 10*t + 16 = -4*y, -4*t = 3*y + 8. Solve -6 = 4*o - s - 2, 3*o + 22 = -t*s for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 divided by -14?\nAnswer: -439\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (400\/(-125))\/(2\/(-5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 + -13. Suppose 0 = 7*b - 3*b - 220. Let w = b + p. Does 19 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -69*b - 20 - 214 - 111 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -31? (a) -2 (b) -5 (c) 5 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -59, -67, -43, 25?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1278 = -29*u + 974 - 1407 for u.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*y - 7*y - 18. Calculate the smallest common multiple of 10 and y.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/4)\/8)\/((-9)\/396)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -29370 (base 10) in base 5?\nAnswer: -1414440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8796447 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 2 - (56\/7 - 12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**2. Suppose -c + 3 = b, 4*b = 4*c - 7 + 3. Let f(l) = -24*l**2 + 53*l**2 + 45*l**2 + 13*l**c - 2*l**2. Calculate o(f(u)).\nAnswer: 21675*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27609\/2 + 13817. Factor 5\/2*z**3 + i*z**2 + 15*z + 0.\nAnswer: 5*z*(z + 2)*(z + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -258 (b) -5 (c) -2\/11 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (38*z + 2*z - 4*z)*(-2*z + 2 - 2) + 0*z**2 - 24*z**2 + z**2 in the form g*z + i*z**2 + u and give i.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 665499 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 10}. Give prob of sequence aaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2029216 and -4?\nAnswer: 8116864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/1248 and -53\/312.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/24 + 2\/(-6). Suppose 0 = 5*p - p - 16, k = 2*j - p + 2. Let u be (1 - 3) + -1*j. Put -1, 2, u in increasing order.\nAnswer: u, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**2)**45\/(j**(-4)\/(j\/(j\/j**4)*j)))**30 assuming j is positive.\nAnswer: j**2970","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - (-21 + (4 - -32))) + 37?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, w: 5, h: 1, o: 5, s: 1}. What is prob of picking 2 w and 1 t?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 25*b**2 - 3946*b - 8482. Calculate r(160).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) -1 (c) 0.01 (d) 238\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/((-3135)\/(-12)))\/((-442)\/2431)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 8. What are the prime factors of -10 + 37 + 4\/g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.28599 * 4.983\nAnswer: 1.42508817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*z - z. Let j be (z\/(-35))\/((-2)\/4). What is the nearest to 0 in -5, 1\/6, j?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13.28*-35.1\nAnswer: 466.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 205504?\nAnswer: -205506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of 3007*s**5\/30 + 427*s**4\/4 + s**2 - 8*s - 45. What is the second derivative of p(u) wrt u?\nAnswer: 12028","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -6*(((-2065)\/15 - 4) + -1) is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229468973 is divided by 506.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58 + 27. Let l be (-5)\/2*(-2310)\/175. Let c = d + l. Solve -c*h - 8 = -2*u, u - 7*h = -2*h + 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -20594 (b) -1 (c) 14 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (200\/5)\/5*2\/8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 4\/48*-4*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**3 - x**2. Let c(m) = m**2 + m. Let v = 382 + -362. Suppose v*y - 13 - 7 = 0. Determine y*z(d) + 2*c(d).\nAnswer: 2*d**3 + d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, h: 7, r: 4}. Give prob of picking 2 r and 2 h.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 545*k + k**3 - 268*k - 277*k.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-190)\/(-133)*21*(-2)\/14*7.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 79*z - 417. Let x be f(-5). Sort x, -20, -1.\nAnswer: -20, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2516073\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 59.9907 - -0.107143289\nAnswer: 60.097843289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -207*y**3 + 27*y + 27. Let f(t) = -16*t**3 + 2*t + 2. Determine -27*f(n) + 2*i(n).\nAnswer: 18*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39466799?\nAnswer: 39466799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1539*t + 8985 = -1534*t. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*d**2*k**3 + 894*d**2*k*x**3 + 7*d*k*x**2 + k**3*x**3 wrt x.\nAnswer: 5364*d**2*k + 6*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -91 in decreasing order.\nAnswer: 5, 0, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one twentieth of a kilometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 5*q - 3*s, -247*q + 43 = -251*q - 3*s for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 3096478?\nAnswer: 3096478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.2 (b) 0.11 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h + 2704 = 5*h. Let i be (1 + (-17)\/2)*h\/65. Let m = i - 72. Solve 4*f + 2*u - 14 = 0, f + 0*u = -u + m for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*f = -2*f - 6, -4*f + 12 = 3*k. Put -1, 5, k in increasing order.\nAnswer: -1, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 14058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -20, -5*u + 4*u - 2 = -2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 6*(sqrt(162)\/sqrt(9) + -1 + sqrt(108)\/sqrt(150)).\nAnswer: -4 + 108*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - k + 180665 = -4*k, 4*k + 180660 = 2*m. What is m rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7886 + -7285. Calculate the remainder when k is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -3\/5, 6.8 in descending order.\nAnswer: 6.8, 4, -3\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 15, 1758, -1, -2 in ascending order.\nAnswer: -2, -1, -0.2, 15, 1758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93625, 93628, 93631, 93634, 93637, 93640?\nAnswer: 93643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*h**2 + 41*h**2 + 22*h**2 + 1 + 41*h**2.\nAnswer: 48*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -204 - -121. Let d = 118 + i. Suppose -5*n + 3*t + 12 = 2, -3*n = -3*t. Calculate the highest common factor of d and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2786 - -25718. List the prime factors of z.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*28\/18 - 3.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1139?\nAnswer: 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 614 is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1551848203, -1551848204, -1551848205, -1551848206, -1551848207?\n\"Answer: -s - 1551848202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c + 5*l - 4887 = 18*c, -5*c + 8145 = -2*l. List the prime factors of c.\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -238, -482, -720, -952, -1178, -1398?\n\"Answer: 3*f**2 - 253*f + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/8715928 and 53\/19490.\nAnswer: 43579640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**5\/4 + 252*v**4 - 5043*v**3\/2 - 64656*v**2 + 2551107*v\/4 + 699660 = 0. Calculate v.\nAnswer: -345, -16, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 22 = -7*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h**2 + 18*h. Is 5 a factor of z(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddde when four letters picked without replacement from pppmdppppmddepppeep?\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 8:59 PM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-6))\/((-6)\/(-9)). Let z(l) = -m - 4*l + 6 + 2*l. Let d(p) = 2 + 206*p - 1 - 3 - 2 - 2 - 204*p. What is 3*d(w) + 4*z(w)?\nAnswer: -2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3560059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2 + 5*m + 2. Let n be y(-3). Suppose 6 + 4 = -n*v. Let x be (-2*1)\/((-4)\/(-4)). Is v greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64 - -37. Let m = -25 - j. Put -3, -4, m, -2 in increasing order.\nAnswer: -4, -3, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -q**4\/12 - 2*q**3\/3 + 3*q**2\/2 - q. Let v be a(-3). Is 3*(v\/1 + 2) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 21*u**2 - 41*u + 451. What is the remainder when 528 is divided by f(22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5626 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (192144\/(-78))\/4 + 2\/(-13). Let j = -619 - u. Sort 6, 2, j, 4 in descending order.\nAnswer: 6, 4, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 434*i**4 - 23732*i + 2418681.\nAnswer: 1736*i**3 - 23732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from {w: 3, p: 3, d: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 652*f - f**2 - 652*f. Let r(i) = -56*i + 5. Let w(g) = 55*g - 4. Let y(t) = 4*r(t) + 5*w(t). Determine j(y(v)).\nAnswer: -2601*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -257628 or -258518?\nAnswer: -257628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 5 = -x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -o - 12829, -5*o + 45*n = 48*n + 64057. Let m = -2506 - o. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.100367 to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 70\/18)\/(12\/(-162))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2 + 0 - 5*o + 1 - 5. What is the units digit of m(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 1878 = 8*d - 6*d, 965 = d - 4*f. Is 16 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - y - 9. Let u be r(0). Let w be 1*((-2)\/(-2) - 5). Let q = w - u. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 - 15*y**2 + y**4 + 15*y**2 + y + 0*y as q*y**4 + u*y + z*y**3 + g*y**2 + w and give w.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -85 + 83. Let k(x) = -x**3 + x - 1. Let m(t) = 9*t**3 - 15*t. Let f(w) = i*m(w) + 6*k(w). Solve f(l) = 0 for l.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o - 9*o + 30137*o**3 - 26330*o**3.\nAnswer: 3807*o**3 - 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40230, 40214, 40186, 40140, 40070?\nAnswer: 39970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -284, -782, -1280, -1778, -2276, -2774?\n\"Answer: -498*y + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5*a + 11. Let w be y(-4). Let n = 29 + w. What is the second derivative of -13*j**2 + 34*j**2 - 12*j + 4*j - n*j wrt j?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 58 - (37 - ((31 - 0) + -1) - (2 + 7))\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1182057 is divided by 4177?\nAnswer: 4143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(2\/23))\/v**(-1\/9))**(-9))**(10\/13) assuming v is positive.\nAnswer: v**(-2480\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 1\/10 (b) -5 (c) -12\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 93 = -3*i, 7*n = 5*i + 3*n - 155. Let j = i - 20. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1216) + -1 - (2 + sqrt(19) + -2)).\nAnswer: -6 + 42*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2716 + 2704 + (0 + -2 + 1 - -28) - 143\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29921, -29930, -29941, -29954, -29969?\nAnswer: -29986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 135 and 720666.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of 2*c**6\/3 + 12*c**5\/5 - 6*c**4 - 40*c**3\/3 + 42*c**2 - 36*c - 170. Determine n, given that v(n) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 153\/(-6)*19\/285. Let m(t) be the third derivative of l*t**3 + 7\/40*t**4 + 0 - 1\/60*t**5 + 0*t - 1\/24*t**6 - 3*t**2. Let m(p) = 0. Calculate p.\nAnswer: -3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20442, 82237, 185230, 329421, 514810, 741397, 1009182?\nAnswer: 1318165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10060457 or 30181367\/3?\nAnswer: 10060457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 304 and 72821072.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -28. Suppose 10 + z = 3*q. Let v(f) = f**2 - 3*f - 5. Let o be v(q). Solve 5*k = -2*l - 5, 5*k - 8 + o = -4*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/36*2348\/(-21). Let k be (-329)\/36 + 1\/4. Let d = z - k. Which is bigger: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 170, 163, 154, 143, 130?\n\"Answer: -n**2 - 4*n + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 6) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ua when two letters picked without replacement from zansu.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*a**4 - 10*a**3 + 2070*a wrt a.\nAnswer: 348*a**2 - 60*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ap when two letters picked without replacement from aaaaaappapa?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -7*g**4 - g**2 - 625*g + 422. What is the first derivative of n(w) wrt w?\nAnswer: -84*w**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + a + 15. What is the smallest common multiple of 6 and l(0)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.084 (b) 2\/3 (c) 7 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 0 + 39 + -38?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 836.\nAnswer: 6688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -7*f**4 - 3\/2*f**3 - 14*f + 0 + 22*f**2 + 1\/2*f**5 = 0.\nAnswer: -2, 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u - 1. Let w be j(1). Suppose w = -n - 2*q - 6, -3 = -2*n - q - 0. Solve -4*b + 9 = 5*c, 5*b + 2*c = n*c - 30 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 5:21 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -2 + 1 + (8 - (10 + -4)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (w**3 - 1 + 1)*(-91*w - 128*w - 36 + 214*w)*((3 + 0 - 4)*(0 + 1 + 0) + 1 + 1 + 0 + 1 - 3 + 7) in the form v*w**4 + b*w**2 + p*w**3 + q + y*w and give v.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*1.1163.\nAnswer: 14.5119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-400)\/(-6150)*3\/4?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -137 (base 8) to base 3.\nAnswer: -10112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 445684562 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 868bc0 (base 13) to base 6.\nAnswer: 151431353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2068?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w**2 + 209*w - 210. Let h be y(1). Which is smaller: 1760\/3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 348 divide 65306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -x - 24, 0 = -10*j - 3*j + 2*j - 334*x + 333*x + 66 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1117617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 4*b + 102. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*3\/6 - -3. Let l(j) = 13*j**k - 2*j**2 + 4*j**3 - 2*j - 11*j**2. Does 8 divide l(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9.67103911 and 4.\nAnswer: -5.67103911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 664 and 1328?\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3*d + 0 = 3, 1 = 3*f + 2*d. Let l = f + 2. Let y be 4\/20 - (-359)\/l. What is the greatest common divisor of y and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 419941 and 3779469.\nAnswer: 3779469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1500 at least -1491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 6*x**2 - 65*x + 306. Let m be q(9). Suppose -h = -3, -h - 36 - 7 = -2*v. Calculate the greatest common factor of v and m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-14)*12*(-10)\/(-150).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b + 4. Let r be d(-8). Let z(g) = -g**2 - 6*g - 1. Let v be z(r). Let k = 9 + v. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 16229?\nAnswer: -1622c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23982)\/(-2855))\/((-3)\/10).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172409440.\nAnswer: 2, 5, 7, 21991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84800 and 230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 109071685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46923.79 - -35897.824. Let b = 11041 + n. Let q = 15 - b. Round q to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 192, 2500, 6324, 11658, 18496, 26832, 36660?\n\"Answer: -d**3 + 764*d**2 + 23*d - 594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(130) + (sqrt(130) + 5*sqrt(130))*-6))\/((sqrt(100) - (sqrt(100) - (sqrt(100)*-1 - sqrt(100))))\/sqrt(10) + (sqrt(10) + sqrt(10)*-2)*-6).\nAnswer: 35*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -219 - 61. Let g(a) = -8*a. Let u be g(-1). Calculate the greatest common divisor of k and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**3 - 11*p**2 + 10*p - 11. What is the smallest common multiple of d(5) and 80?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 4756275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 112 + -117. Let h be -2*(-44)\/(-56) + 2. What is the nearest to h in w, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*o - 231 = -54*o for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 98*x**2 - 5*x + 0*x + 25 + 8*x**2 + x - 107*x**2. Calculate t(9).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 4164\nAnswer: -4160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120002120132 (base 4) to base 13.\nAnswer: 13c813a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2129.2 - -2129. Let i = 0.02 - -1.98. What is the second biggest value in -5, d, i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -5. Suppose -4*z = -b*n + 34 + 116, -3*z + 150 = 3*n. Is 19 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -11697.745292709?\nAnswer: -11698.145292709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -164 + 244. Let c = -481 + 485. Suppose 4*p - 3*p = -c, -4*p = -4*o + m. Solve k = -3*z - o, -3*k + 3 = 15 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w + 14. Let g be m(10). Suppose -g*v + 0*v = -32. Let x = 14 - v. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 2 + 8. Suppose z*r + 495 = 7*r. Calculate the greatest common divisor of r and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a739 (base 16) to base 11\nAnswer: -74446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 25714\/217124 + 6\/(-51). Let d = t + -3691433\/415090. Let q = d - -74\/13. What is the third biggest value in -1\/2, q, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11940574769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 703 + 704 - 755*k - 2109 + 702 in the form q*k + w and give q.\nAnswer: -755","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*h**2 + 25*h**2 - 77*h**2 + 42*h.\nAnswer: -23*h**2 + 42*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -19 + -3202891.4\nAnswer: -3202910.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*h = -31, 0 = -3*c - 0*h + h + 37. Let z = -13 + c. Sort z, 2, -1\/4 in descending order.\nAnswer: 2, z, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -548*m + 2496. Give s(5).\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-1) - 28\/(-7). Let a(y) be the first derivative of y**3\/3 + 11*y**2\/2 + 36*y - 21. Let h be a(-9). Solve n*p + h = 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -0.5. Let m be (-16)\/(-2 + (-18)\/(-10)). Let g = m - 398\/5. What is the closest to g in 4, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**2 + 25*m + 10. Let l be y(-8). Let h(u) = 8*u**3 + 2*u**2 + 2*u - 4. Does 8 divide h(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*l = -2157, -47*q + 49*q - 5*l = 1059. Does 14 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -158057729*o - 234320514?\nAnswer: -158057729","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 10:09 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008359109 rounded to seven decimal places?\nAnswer: 0.0000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000268171 rounded to 6 decimal places?\nAnswer: -0.000268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -8*i**3\/3 - 133*i. Let o(n) = 12*n. Calculate t(o(h)).\nAnswer: -192*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18716949 a multiple of 1207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 0*u + 7\/3*u**3 - 5*u**2 - 1. Find the second derivative of b(o) wrt o.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-9))\/(1\/21). Let j = n - -14. Is 21 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*h - 765 = -t, -2*t = 3*h - 805. What are the prime factors of t?\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, -0.5, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 - 6 + 11)*(-u**2 - 2*u**2 - u**2) to the form p*u + z + x*u**2 and give x.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/356040 and -76\/309.\nAnswer: 36672120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.27323 times 4?\nAnswer: -25.09292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*v + 2311 = 13121. Solve 0 = -2*q - 247 + v for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2 + 18395*m + 1596776. Calculate l(-86).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kukuuuiiiuaiaiauia. What is prob of sequence ukiu?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-33)*k\/(k*k\/(k**(-3)*k*k)*k*k))**(-14) assuming k is positive.\nAnswer: k**518","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 389825?\nAnswer: 5, 31, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 515863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-1\/3))\/y)**(-12\/11)*y\/y**(-1)*(y**5*y*y)\/y*y*(y*y**(-1)\/y*y**(4\/5))\/((y\/y**(-1\/3))\/y)**(-2\/27) assuming y is positive.\nAnswer: y**(37694\/4455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 2\/9, 4, -5\/2, 431.\nAnswer: -5\/2, 2\/9, 1\/4, 4, 431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -1391*t**2. Let g(j) = -12*j. Give g(x(z)).\nAnswer: 16692*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23014630?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1500*r**2 - 559*r**2 + 187*r**2 to the form q*r + x*r**2 + n and give x.\nAnswer: -1872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 69371*2*(22\/(-33) + 14\/12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40961 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of 37*i**4\/24 - 5*i**3\/6 + 126*i**2. Let c(x) = -56*x + 8. Determine 5*c(t) + 8*n(t).\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.226 and 8981?\nAnswer: -2029.706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -6*s**3 + 30*s**2 - 30*s + 30. Let l(b) = b**2 - b + 1. Suppose -13*p + 5 = -8*p. Calculate p*c(w) - 30*l(w).\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**2 - 3*b - 3. Let p(q) = q**2 + q + 1. Let h(x) = i(x) + 3*p(x). Let c(u) = -12*u. Calculate h(c(j)).\nAnswer: 144*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 5*g + 2*p, 4*g = 8*g - 2*p - 32. Solve 5*m = 4*r - 40, -g*m + 19 = 3*r - 11*m for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -6*z**3 - 29*z**2 + 22*z + 79. Give s(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - i + 824. Let p be l(0). Suppose -4*z + 2*h = 1288, 3*z - 5*h + p = -142. Is z\/(-6) - (-8)\/(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1890, 26, -4.\nAnswer: -1890, -4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 times -17.66905?\nAnswer: -24.73667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 2*j - 2 = 0, 0 = -c - 3*j + 16 - 13 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*x = 0, 2*d - 3*x = -6*x. Let m be -9*1*(-3)\/3. Let b = m + -6. Solve -i + 4*f - 11 = d, -b*i - f = 4*f - 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 7*v = 6*v, -17*v - 32*v + 126 = -4*n + 73*v for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*g - 8696 = 32*g - 2*k, 5*k - 6522 = -3*g. Is g a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 11:58 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 434344 (base 5) in base 14?\nAnswer: 5658","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*x - 71475 + 71475 + 4*x - 3*x.\nAnswer: 56*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.85592 kilometers in micrometers?\nAnswer: 7855920000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -0.1, -145, 2\/5, -2\/13?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39669*r + 39613*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a day in minutes?\nAnswer: 4080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 2 + 2)*(2 - 2 - 6*w - 6 - 5*w + 6 + 3*w - 2*w + 0*w + (-4 - 2 + 4)*(2*w - 1 + 1) - w + 5*w - w) in the form c*w + h and give c.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2179, -2197, -2215, -2233?\nAnswer: -2251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 924 + 35. Suppose -113 = -9*z - i. Let l = -28 - z. Does 16 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(-2 - -1) - 0. Let l = 0 - s. Suppose -2*k + 3*k = 2*j - 4, 2*j + 4*k - 24 = 0. Solve -5*f + c + 25 = l, -j*c + 15 = 3*f - 0*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 340 = 5*t, -v + 25 + 51 = t. Suppose t*g - 4*g**2 - 31 - 347 + 54 = 0. Calculate g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -54? (a) -1\/5 (b) 476 (c) 0 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 2 - 2)*(-p**2 - 2*p**2 + p**2) - 6*p**4 + 4*p**4 + 4*p**4 + (p + p - 4*p)*(-p**3 + 0*p**3 + 0*p**3).\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -90*k + 173 + 7. Which is the closest to 1\/6? (a) -191 (b) 4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - h)*(3 - 1 - 4) + 2*h + 2*h - 2*h + 1112 + 833*h - 835*h + 6231 to m + f*h and give m.\nAnswer: 7343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 112*c - 1227 - 35*c - 78*c in the form r + u*c and give r.\nAnswer: -1227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -3441023132?\nAnswer: 3441023122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*49.\nAnswer: 14.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -23222300122 (base 4) in base 2?\nAnswer: -1011101010110000011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27 + 4*f - 27 + (0*f - f - f)*(-5 + 6 + 4).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*z + 19. Let f(x) = x**3 - 8*x**2 + 3. Let p be f(z). Solve 0 = 2*i + p - 7 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g = 267 - 57. Let d(r) = -7*r**2 - 97*r - 6. Let j be d(g). Which is greater: j or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -12973 and -8367 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/14, -5, -0.01, 38 in increasing order.\nAnswer: -5, -0.01, 1\/14, 3, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-10))\/((-2)\/40). Let u = h - 6. Suppose -2*d - u*d + 2*k + 46 = 0, 5*k = 2*d - 27. Is d a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3572*i. Let x(z) = -83*z**2. What is o(x(f))?\nAnswer: 296476*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_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: Let h(w) = -21*w**3 + w**2 - 3*w + 9. Is h(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -3*c - 137, -5*h + 136 = -0*c - 4*c. Let s be (7\/h)\/((-2)\/8). Which is bigger: s or -2\/1139?\nAnswer: -2\/1139","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*m**3 - 23*m + 384 wrt m?\nAnswer: -18*m**2 - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nsewwewdswisews. Give prob of sequence sei.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 3)*(-3*w - 2*w - 2*w).\nAnswer: 21*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 374155881?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 20\/11, 0, -3, -457, -1?\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(153) - (1*sqrt(153)*-3 - sqrt(153))) + sqrt(153))*-1)\/((sqrt(900) - sqrt(900)*2) + sqrt(441)*-2).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -2852.\nAnswer: 3\/2852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 254603912?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**3 - 3*b**2 - b + 6. Let x be j(4). Let k be 8\/6 - x\/(-3). Suppose k*l - 18760 = 54*l. Round l to the nearest 100.\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53495\/72 + -743. Let i = u + 1045\/72. Find the common denominator of -125\/228 and i.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.27, -5, -21877 in increasing order.\nAnswer: -21877, -5, 0.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 1 - 4) + -13 + 14 + (-77 - -40).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1\/4, -0.1, 993 in increasing order.\nAnswer: -6, -0.1, 1\/4, 993","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 314 + -308. Suppose 11*x - 50 = -i. Solve c = -x*c + 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**4\/4 + 45*z**3 - 2529*z**2\/4 + 2013*z - 1845 = 0. What is z?\nAnswer: 2, 15, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48) + -5 - sqrt(3))*-2.\nAnswer: -6*sqrt(3) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*h - 13 + 5, 5*t = -2*h - 10. Suppose 6*k - k = h. What is the second derivative of k*j + 3*j + j**5 - 4*j wrt j?\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 3. Suppose -s = -v*s - 30. Let i = s + 15. Solve 5 = -2*p - 2*r + 1, 0 = -3*p + i*r + 34 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 - 31. Solve z + 14 = 5*z + 2*y, 4*y = n*z - 22 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.9691 - 3.1091. Which is the smallest value? (a) 71 (b) p (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9 times 22.8\nAnswer: -205.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5509585671?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -14, -222, 16657 in decreasing order.\nAnswer: 16657, 5, -2, -14, -222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173471 is divided by 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/7)\/(1\/(-7)). Suppose -4 + x = -n. Suppose -a + 26 = n*f + f, 2*a - 50 = -5*f. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -3. Suppose -s - 2*s = t. Let j(o) = -o + 19. Is j(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.56 + -4.46. Let v(g) = g**3 + 11*g**2 + 14*g + 34. Let i be v(-10). Which is the second biggest value? (a) o (b) -0.5 (c) -0.4 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4\/2 - 10*h**3 - h**2\/2 + 315*h.\nAnswer: -h*(h - 5)*(h + 7)*(h + 18)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3 + 328*h + 8062*h**3 - 649*h + 319*h. Is f(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + -6*sqrt(35)\/sqrt(5))**2*1.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.13 (b) 5 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78546*l + 78548*l - 157092*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3*w = -31, 24 = -3*p - 5*w - 2. Let b(r) = r**2 - 2*r - 3. Let j be b(p). What is the greatest common divisor of j and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2176 is divided by 66.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 - -6.4245421272?\nAnswer: 6.3845421272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4954*u**2 - 5233*u**2 - 5247*u**2 + 15428*u**2.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g**2 + 14*g + 5. Determine a(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3068050589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2680\/2010)\/((-8)\/3). What is the third smallest value in 0.28, -22\/9, r?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*r**2 - 6*r**2 - 3*r**2 - r**2 as a + n*r + w*r**2 and give w.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 9*l**3 + 156*l**2 + 39*l - 263. What is y(-17)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17020321 (base 8) to base 15.\nAnswer: 52c891","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2128 - 2.4\nAnswer: -2130.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 149 - 214. Let o = l + 64.99999961. Round o to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 + 0)\/4 - -1082. Is 4\/12*3 + j + 3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/s**(-26)*s**25*(s**(3\/4))**(-1\/11) assuming s is positive.\nAnswer: s**(2329\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, -0.5, 0.3, 923, -4\/7, 3 in increasing order.\nAnswer: -4\/7, -0.5, 0.04, 0.3, 3, 923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -13. Suppose -17 = g*c + 8. Let y(u) be the first derivative of -u**4\/4 - 5*u**3\/3 + u**2\/2 + 4*u + 890. Give y(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7020 and 84734.\nAnswer: 22878180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -11\/6*r**3 + 0 - 1\/20*r**5 + 13\/12*r**4 + 1\/2*r**2 - 2*r. Is x(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*u + 3975 + 3986 = 8063 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 1 - 5. What is the tens digit of (66\/9)\/(h\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12628917734 rounded to three decimal places?\nAnswer: -0.126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6728)\/348)\/(56\/84)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -177, -1341, -4499, -10647, -20781?\n\"Answer: -166*w**3 - w**2 + w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 2*d - 3. Let z(p) = p + 1. Let m(f) = -c(f) - 4*z(f). Let j be m(2). Put 2, -4, j in decreasing order.\nAnswer: 2, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 - 43 = 3*y, -5*y = -i - 17 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/((-17680)\/17684 + 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 137 + -119. Let a = 20 - 20. Suppose 15 + a = 4*r + 3*w, -r - 6 = 4*w. Calculate the lowest common multiple of r and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 5*u - 27*g + 30*g, u + 2*g - 6 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 t when two letters picked without replacement from {e: 5, k: 2, l: 1, t: 5, u: 1, f: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zaaa when four letters picked without replacement from kazkaaaaaaaaaa.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**3 + 1588*b**2 - 760*b**2 + b**3 - 828*b**2.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*36\/(-40)*10\/15?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -705.46 and -0.3.\nAnswer: -705.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97564976236199 + 0.5.\nAnswer: 97564976236199.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*1 + 5 + (sqrt(153) - (sqrt(153) - 2*sqrt(153))) + sqrt(153) - (-2 + (sqrt(272) + 4)*-6))**2.\nAnswer: 2108*sqrt(17) + 20613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, -0.2, -10 in decreasing order.\nAnswer: 0.01, -0.2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2847)\/65)\/73)\/(-3 - -1)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t + 5. Let y be x(5). Suppose 2*v + v - y = 0. What is m in -m - 3*m**3 - m**v + m**3 - 1 - m**4 + 4*m**3 + 2*m**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 8*y - 4. Suppose -2*b - 3*w = 2*b + 9, -5*b - 4*w - 10 = 0. Let z be d(b). Calculate the greatest common divisor of 40 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -1) + 3 - 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 12622.02 centimeters?\nAnswer: 126220200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -15, -71, -181, -363, -635?\nAnswer: -1015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9613.268*12.\nAnswer: 115359.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 19*s**2 - 1986*s + 45891. Give r(25).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 259\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-1 + (6 - 2)). Let z(s) be the first derivative of -1\/2*s**2 - s - 1\/12*s**l - 2. Determine t, given that z(t) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 5*n + 5, -10*a + n - 1 = -6*a. Solve -10 = -2*h - 2*z + 4*z, -5*h + 4*z + 20 = a for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3377 in 4, -8, 0.5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 9*u - 12. Let w be q(7). Solve -r + 3*n = 6*n + w, 5*r + 2*n + 23 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -45*t + 1610. What is s(36)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*d - 2\/9*d**2 + 0.\nAnswer: -2*d*(d - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 4:37 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**4 - 2*l**3 - 2*l**4 + 2*l**4 + 3*l in the form s + n*l + p*l**2 + z*l**4 + j*l**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1463131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -54*v**5 - 255*v**4 - 432*v**3 - 327*v**2 - 108*v - 12 = 0. What is v?\nAnswer: -2, -1, -1\/2, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7125)\/2565 - (-1 + -2)) + 4\/(-18).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 12*b - 3606 = -3*a, -a + 1195 = 3*b. Is 28 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -222a1 (base 11) in base 4?\nAnswer: -13320221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4489.479kg to nanograms.\nAnswer: 4489479000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 209\/3 + (-12)\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*h - 3660 = 0, -4*z - 3226 = 2*h - 10516. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c + 3. Let t be v(-3). Suppose t*i = 2*i - 78. Suppose r = -2*r + i. Is 6 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 8*f**2 - 7*f + 2. Let j = 29 - 27. Suppose -j*h + 5*r = -4, -h - 5*r + 6 + 11 = 0. Determine a(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/1330 and 91\/11932?\nAnswer: 417620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -51062 (base 7) to base 6\nAnswer: -133212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -7*t**3 - 126*t**2 - 2656*t - 18527. Let u(i) = 3*i**3 + 63*i**2 + 1327*i + 9263. Let p(c) = 5*u(c) + 2*v(c). Factor p(f).\nAnswer: (f + 21)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36 * 0.7532.\nAnswer: 27.1152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**3 + 40*x**2 - 325*x - 5972. Calculate c(-18).\nAnswer: 1174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 433832813 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 544 = 57*u - 61*u, 4*u - 572 = 5*b. What is the highest common factor of u and 414?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-10)*15\/(-84)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (6*(sqrt(425)*2*-5 + (2*(sqrt(425) - -2*sqrt(425)) - sqrt(425))) + 5)**2)*-2 + 1.\nAnswer: -765041 + 3000*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1267104?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 439753368?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 9*v - 85 + 0*v + 80. Let m(u) = -4*u + 2. Give -2*d(z) - 5*m(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -1.1. Let a = 0 - -4. Let b = 3.5 + -3.4. Sort a, b, g in ascending order.\nAnswer: g, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 3:47 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 31*k. Let l(d) = -17*d. What is v(l(u))?\nAnswer: -527*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 - -86. Let i = l - 1. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -144? (a) 4.7 (b) -1919 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 119 and 65281819.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 1382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d - 17 = 11*d - o, d = 2*o + 15. Let k be (46 - 15) + -3 + d. What is the highest common divisor of 5 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - b + 8 = 0, 5*b = 6*x - x - 20. Let t be (-2)\/5 - x\/(-15). Let i = 21 - t. What is the remainder when 81 is divided by i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 11*d - 3. Let k(z) = -252*z + 70. Calculate 70*b(t) + 3*k(t).\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of b**5\/12 + b**2 - 5*b + 46. Let h(y) be the second derivative of v(y). Let c(f) = -18*f. What is c(h(n))?\nAnswer: -90*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -35 - ((6 - 69) + 49) - (-1 + 51)\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 59*f + 1525. What is v(-26)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16.971 - -0.029. Let t = 16.7 - h. Which is the nearest to -5? (a) t (b) -2\/11 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 300 (c) 5 (d) -0.4 (e) 0.2 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1879 times -1692\nAnswer: 3179268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -50, 35, 274, 727, 1454, 2515?\nAnswer: 3970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.2366 + -0.06381?\nAnswer: 11.17279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30975 and 571725.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t - 4. Let u be z(-6). Suppose 5*b - 7 = -3*x - x, -u = -5*x - b. Let r(a) = -a + 3. Let p be r(x). Solve p*h = -4*h + 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13981*t**4 - 19*t**2 + 9*t - 7.\nAnswer: -335544*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10)\/(-2))\/(2 + -1). Suppose -s*j + q + 2*q + 49 = 0, -j + q = -11. Suppose j*x - 7*x = 0. Are x and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 7529430.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**2 - 274*l - 85179. What is g(-148)?\nAnswer: -819","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**35\/x)\/(x\/((x\/x**8)\/x*x))*(x**46)**34 assuming x is positive.\nAnswer: x**1591","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*j + 299 = -2*b, -4*b = 5*j - 397. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - (61 + -4))*(-1)\/1. Let r = -43 + a. What is the first derivative of -4 - 7 + r + 3*i**2 wrt i?\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -49\/2*l**2 + 7\/3*l**3 - l + 15 - 1\/12*l**4. Factor i(d).\nAnswer: -(d - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(-15*n - 21*n + 22*n) + 3 - 4 - n + 2.\nAnswer: 13*n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 13, 20, 29?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9925.222 micrograms in grams?\nAnswer: 0.009925222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -6749, -2\/3, 4, 0.6, -0.1 in descending order.\nAnswer: 4, 0.6, -0.1, -2\/3, -6749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + y - 20. Let d(w) = -6*w**2 - 5*w + 100. Let q(a) = 2*d(a) + 11*o(a). Determine q(0).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7371 + 0?\nAnswer: -7371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 w when three letters picked without replacement from bwbldlwwlul?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 8. Suppose -3*j = j. Suppose j = -0*q + q + 2. Which is the nearest to 0.1? (a) q (b) 0 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/6)\/(((-38)\/57)\/(18\/(-99)))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vd when two letters picked without replacement from {v: 3, y: 6, d: 4}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/42)\/(22\/4)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*n - 6 = -4*h, n - 5*h + 9 = 0. Suppose 25 = -x + n*x. Suppose -x*l + 18 = -2. Is l a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + sqrt(1100))**2 - sqrt(1100) - (-3 + sqrt(1100) + 0)**2) + -2 + -3 + -3 + 3.\nAnswer: 90*sqrt(11) + 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-11 + 11 - (-2 + 7)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*p = -5*r + 12207 - 12512, r - 59 = 4*p for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + (3 + ((sqrt(56)\/sqrt(2))\/sqrt(4) + (5*-1*sqrt(7) - sqrt(7)) - sqrt(1575)*1))**2).\nAnswer: -480*sqrt(7) + 11236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*o**2 - 175*o**2 + 23*o**2)*(4*o - 4*o + 3*o**2).\nAnswer: -483*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85157?\nAnswer: 31, 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 224243221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03 + -8.03. Let w = 8.3 + s. Let j = 0.18 - -0.82. What is the third smallest value in 3, j, w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10111 (base 3) to base 13\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/7*(-3968)\/(-13888).\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1168*b**2*k**3 - 2437*b**2*k + 2*b**2 + 141*b*k**6 - 14*k**2 - 2*k wrt k.\nAnswer: -7008*b**2 + 16920*b*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 2*k + 4*n = 12, 3*k + 5*n - 9 = 0. Let a(y) = 0*y**2 - 3*y + 1 + k*y**2 + 0*y**2. Is a(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9004527209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1787 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: Solve -20*d = -0*d - 100 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 1. Let a(p) = -39*p + 61. Let o(x) = a(x) - 6*f(x). Differentiate o(w) with respect to w.\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 342120, 684330, 1026540, 1368750, 1710960?\nAnswer: 2053170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -3*b + 6*b + 3*n, -20*b + 16*n - 3*n - 4 = 9*n for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/6*(-180)\/27. Let s be (-78)\/(-9) - 2 - q\/(-15). Let z(k) be the second derivative of -k**3\/6 - k**2\/2 - 3*k. Determine z(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*w = 2*s + 276, w + 3 = 0. Let z = -94 - s. Let r = 32 + z. Calculate the remainder when r is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 = -34*d - 262 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3916.6 and -7.\nAnswer: -3923.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in -1981, 3\/5, -2\/3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*u**2 - 250 + 2*u**4 + 248 + 0*u**4 + (-2*u**2 + 4*u**2 - u**2)*(-22*u**2 - 7450 + 7450).\nAnswer: -20*u**4 - 6*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*g - 3*g + 12*g - g to the form i + t*g and give t.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -12. Suppose -3*m = -7*m + y. What is the first derivative of -5 + 5*t - 3 + m + 2 wrt t?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(7)*-2 + 1 + -5)**2*2.\nAnswer: 24*sqrt(7) + 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*j - 188*j + 6161 = 0. What is the remainder when 551 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-14)*2*1\/(-3)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1130 - 1655 = 102*p - 6967 for p.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*o - 42*o + 12*o.\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -315 - -319. Let f be x\/(-46) + 200\/184. Which is the second smallest value? (a) 0.5 (b) 22 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.25 + 0.17. Let s = y + 6. Let i = s + 0.08015. Round i to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-6)\/15)\/1 + -2)*-45. Let y = n - 113. Let h(w) = -4*w**3 - 15*w**2 - 3*w + 11. What is the hundreds digit of h(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/3*75\/40\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 128 (b) -10102 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27048 by 4.\nAnswer: -6762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 3*y + 6879, k + 2*y - 3305 = -1024. Calculate the remainder when k is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(((-111)\/(-2516))\/(2\/8))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**2 + d**4 - 5*d + 155 - 2*d**2 - 154 as m*d**4 + u*d**2 + t + b*d**3 + z*d and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4*w - 59 = 0, -22*j + 5*w - 1 = -24*j. Let g(o) = -64*o**3 + 2*o**2 + o. Let d be g(-1). What is the highest common divisor of j and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + z**2 + 2*z**2)*(-6 - 6 + 1) + (3*z - 3*z - 3*z)*(-2 - 1 + 1)*(-z - 3*z + 6*z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 3*i + 9, 17 = 3*k - 5*i - 14. Let b(g) = g**3 - 3*g**2 - 10*g**k - 13 - 4*g**2 - 6*g + 24*g. Is b(16) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 = -3*z - 5*g + 350, 2*z = 3*g + 155. Let n be z\/(-18) + (-4)\/(-18). Let i = n + 22. Is 14 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/93 and 91\/62.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 12112*b + 48972. Let u(d) = -3032*d - 12243. Let n(a) = 3*h(a) + 11*u(a). Differentiate n(g) wrt g.\nAnswer: 2984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -48, -0.0091 in ascending order.\nAnswer: -48, -2, -0.0091","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1997\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 3 = 5*u, 586*p + 39 = 582*p - 5*u for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1 - 3 + 1165*g**2 - 2*g**3.\nAnswer: -2*g**3 + 1165*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 6*s**2 + 7*s - 6. Let q be i(5). Suppose -3*g - 4*v = 0, 3 - 31 = -4*g + q*v. Solve 2*r**4 + r**4 + r**g = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 312424601*s**3 + 10079632 wrt s.\nAnswer: 937273803*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 0.4 (c) 3\/7 (d) -7\/3 (e) 1\/34 (f) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 15*a**2 - 131*a - 882. Calculate l(-11).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 x when two letters picked without replacement from vvvvvvvxxvjxjxuxu.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152415*z + 149430 - 149430.\nAnswer: -152415*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of m**2 - 2*m - 19. Let d(n) = 2*n + 2. Let j(g) = -2*g - 3. Let h(p) = -6*d(p) - 5*j(p). Give 2*h(o) + 3*l(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i. Let f(a) = -3*a**2 + 141*a - 2. Give o(f(p)).\nAnswer: -3*p**2 + 141*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 i when three letters picked without replacement from llil?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 315 + -325. Let o be a\/25 - (-126)\/15. Sort 4, 3, -2, o.\nAnswer: -2, 3, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 30*a**2 - 56*a - 45. Give p(28).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/20 and -111\/70.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**3 + 69860205742 - 69860205742.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5, 1\/6, -4.7, 1\/5, -3955?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bzbm when four letters picked without replacement from bzzmwmmzzbm.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81223, 324907, 731047, 1299643, 2030695?\nAnswer: 2924203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1176 is divided by 53.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-12))\/((-15)\/9).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/9 or 1.69?\nAnswer: 1.69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 - 23.8. Let y = 19 + o. What is the closest to -1 in -1\/9, y, 5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 0*s - s**3 + 5*s**2 + 6*s + 1 - 1 - 5. Calculate k(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 6*g**2 - 15*g + 11. Let y be c(-8). Solve 3*r + y - 18 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 6:53 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 59850.773 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 13202 (base 5) to base 15\nAnswer: 4a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3 + 12 = -2*i, 5*i - 2*c + 66 = 0. Let n(w) = 17. Let m(p) = 2*p + 15. Let g(r) = -m(r) + 4*n(r). What is the units digit of g(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3137855 is divided by 20506.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/21, -0.2, -18, -1.216?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 2*z = 10, 0*z + 1 = -3*r + 5*z for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(10)*-3)\/sqrt(450) + 1)*-5.\nAnswer: -4*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-210)\/30*36\/(-21).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a - 7 = 14*a. What is the remainder when a is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -259, -4, -3 in descending order.\nAnswer: -1, -3, -4, -259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -u**4\/12 + 7*u**3\/6 - 4*u**2 - u. Let y be 9 + 8*(-4)\/8. Let s be n(y). Solve -2*v + 16 = 4*i, s*i = v + 4*v - 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 1 = -4*j + 9, 3*d = j + 6. Solve l + 2*h = 8, -l - 31 = d*l - 5*h for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 + 224 = 4*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f = 3*j - 35*f + 78, f = -80*j + 54*j + 23*j - 78 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 0 = -3. Let o be (u\/(-1) + -1)\/(-3). Solve 2*a + 4*f + 16 = o, 2*f = -8 - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g**2 - 61*g - 206. Calculate m(-8).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-5 - -1) + 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44752 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15 + -9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11379183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12160?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 31831*l**2 + 18726*l - 8. Let x(t) = 21221*t**2 + 12485*t - 5. Let p(b) = 8*x(b) - 5*z(b). What is the second derivative of p(f) wrt f?\nAnswer: 21226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (3 - -6)) + 7 - 9.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 11*q**5\/20 - 6*q**2 - 6*q - 20. Let c(g) be the first derivative of a(g). Find the first derivative of c(j) wrt j.\nAnswer: 33*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 11.9. Let q be 7\/(-6) - (-4)\/6. Let f = 4\/3 + -2. What is the nearest to k in f, q, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 3*l**2 + 3*l + 1. Let f = 179 + -92. Suppose 90*a - f*a = -9. Give m(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14187, -29521, -44855?\nAnswer: -60189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119078 is divided by 8505?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3*5*(-4 + sqrt(832)*-3) + -4)**2*6.\nAnswer: 298080*sqrt(13) + 10137366","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u - 2. Let f be r(-6). Let n be -3 - 0\/(8\/8*1). Let w(l) = l**2 + 3*l + 2. Let a be w(-4). Sort f, a, n.\nAnswer: n, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 - 46. Let g = 20 + a. Suppose -7 = -g*r + 2. Solve 16 = f - 3*f + 4*i, -r*f = -2*i + 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (72 + -26 + (28 - -6))?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 90?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -26250, -28719, -31190, -33663?\n\"Answer: -l**2 - 2466*l - 23783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 19. Let z = w - 38. Let n = 22 - z. Calculate the remainder when n is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 10003?\nAnswer: -10002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/13*(-1950)\/200 + 21\nAnswer: 45\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4355 - -1278?\nAnswer: 5622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 5*c + c)*(-4 + 4 + 1) - 20*c + 39*c - 20*c - 37 + (-3 + 0 + 0)*(-2*c - 1 + 1) + c - c - 5*c.\nAnswer: -c - 37","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 = 112971*m - 112975*m - 3*u, -4*m - 72 = m + u for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/20? (a) -4 (b) -1\/4 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 17*l + 4 - 2)*(3 - 3 - 1)*(0*l**3 - 3*l**3 + l**3).\nAnswer: -34*l**4 + 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 - 3*r - 26)*(r**2 - 1 - 1 + 1 - r**2 - 4*r**2 + 4*r**2 + 3*r**2 + 0*r**2 - r**2 + (-2 + 0 + 1)*(-3*r + 3*r - 2*r**2) + r**2 - r**2 - 2*r**2).\nAnswer: -6*r**3 + 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 57.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -30680 rounded to the nearest 1000?\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*c + c + 26 + 16. Let w(t) = 4*t - 3. Let h(o) be the first derivative of -3*o**2\/2 + 2*o - 1. Give c*h(u) - 2*w(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaefqfaeamyfayaaf. What is prob of picking 1 m and 1 q?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 52908014 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 1. Let v(z) = -2*z**2 + 5. Let h(d) = v(d) + 5*y(d). Let j(x) = x**2 - 102. Give h(j(i)).\nAnswer: 3*i**4 - 612*i**2 + 31212","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 893807\/389 < 2298?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -385 - -403. Let b be (6\/(-15))\/((g\/30)\/(-3)). Solve -j - 2*p = -3*j, -4*p - 30 = b*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 5972672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 4*o - 26, -3*k + 3 = -o + 5. What are the prime factors of 189\/12 - k\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -204134*-0.1.\nAnswer: 20413.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3729587 a multiple of 1100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (43\/25)\/43*275?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + ((-16)\/(-10))\/((-2)\/(-5)). Suppose k*v - 104 = -4*v. Let s = 11 - v. Put -3, 0, s, 2 in decreasing order.\nAnswer: 2, 0, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5681381+392178\nAnswer: -5289203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**5\/5 + 7*k**4\/5 + 8*k**3\/5 - 56*k**2\/5 - 16*k\/5 + 112\/5 = 0.\nAnswer: -2, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 387*z - 222*z + 2015 + 1120 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.71911 centuries in months?\nAnswer: 92062.932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 1.6, 5\/6, 0.03, -5, 2\/7?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 7*i - 20. Suppose -3*d = -i*d. Which is greater: -2\/127 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 499 = -4*u, 5*u + 6*g = 11*g + 635. Is 31 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8a8a37 (base 12) in base 5?\nAnswer: -1031311243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0023 - -0.0022983. What is z rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -3\/4, -1\/5, -11, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3230636 is divided by 179475?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**3 - 41513*h**2 + 20907*h**2 + 37 + 20606*h**2.\nAnswer: 2*h**3 + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 359949.5nm?\nAnswer: 0.0000003599495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/135750 and 39\/14500?\nAnswer: 7873500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and 1687.\nAnswer: 1689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 30414040 (base 5) to base 13\nAnswer: 88b76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*l = -32*l + 50*l - 1055 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1371310819?\nAnswer: 21503, 63773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (5 + -13 + 20 - 7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 7563295 and 7563294 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -110, -3, 1, -2 in increasing order.\nAnswer: -110, -3, -2, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 173524413?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 + 0*w + 0*w)*(548*w - 1665*w - 11133 + 568*w + 551*w).\nAnswer: 4*w**4 - 22266*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1860 = 530*a - 531*a. Is a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fkkkfffkfffjf. What is prob of sequence kk?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 - -19. Suppose s + m - 131 = -0*m, -2*s + m + 250 = g. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010302120 (base 4) in base 15?\nAnswer: 58737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2531414616 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: Which is the second smallest value? (a) 2\/3 (b) -2.328 (c) 4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 20*k**2 + 2*k - 28. Is 16 a factor of n(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2573 + 2572. Are -18\/3209 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 993259851?\nAnswer: 3, 7481, 44257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of g**2 - 2*g - 6. Let r be q(1). Suppose r = 3*z + 2*z - 2935. Is z 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 -36*d**3*v**4 + d**3 - 76*d*v**3 + 14*d*v**2 - 199*v**4 - 25073*v**2 wrt v?\nAnswer: -864*d**3*v - 456*d - 4776*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/(-1*1\/(-1)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23950 + 27814 = 168*r for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (430\/(-36) + 12)*(-5 - -2)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -5*h - 2*q + 169, 0 = 3*h + q - 101. Suppose h = 5*m - 37. Is m a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 457 is divided by 102?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5 + (-5 + sqrt(192) + 1 - (sqrt(192) + sqrt(192) + 1 + 1))**2 + 5*(sqrt(192) - (sqrt(192) + sqrt(192) + 3)*-6).\nAnswer: 324 + 616*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 10.07951kg?\nAnswer: 10079510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/18)\/((339\/(-2260))\/((-36)\/(-20)))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 23*w + 45. Let r(l) = 17*l + 42. Calculate 5*r(a) - 4*t(a).\nAnswer: -7*a + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13788*r**3 + 31402*r**3 + 5103*r**3 + 2381*r**3.\nAnswer: 52674*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 5250180.\nAnswer: 1\/525018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 4*o - 42 = 0, 7*y - 1366*o = -1362*o + 57 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 3*n + 4, -2*n + 20 = a - 6*a. Let c be -402*5\/(-11 + a). Suppose -c - 56 = -5*x. Is x a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-87)\/(-1160))\/((-32)\/64)?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 288611 (base 16) to base 7\nAnswer: 31400513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 6*i**2 + 3. Let n(l) = -l**2 - 13*l - 5. Let t be n(-5). Suppose -3*q - 5*p + 6 = -1, -5*q - t = -p. Determine u(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2352 - 1400*l + 50\/3*l**3 - 457\/3*l**2 - 1\/3*l**4 = 0.\nAnswer: -3, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 23c - 1da098?\nAnswer: -1d9c5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 108*v**2 - 84*v**2 - 2*v**3 - 4 to a*v**2 + j*v**3 + s*v + l and give a.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2647338 and 372.\nAnswer: 5294676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(-18)*c*c**(-2\/3)\/c)\/(c\/c**(-1\/12))**44)**(-2\/113) assuming c is positive.\nAnswer: c**(386\/339)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96570)\/(-2146))\/((-9)\/(-10)*(-30)\/(-18))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 - 44.6. Let w = d - -5.60335. What is w rounded to four decimal places?\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/3)\/((-2)\/1). Suppose -26 = -m + 5*k, r = -3*k - 14 - 1. Solve 15 = 3*p - v, p + 5*v - m = -3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 1046.\nAnswer: 104.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eighty-five quarters of a millennium?\nAnswer: 2125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 w when two letters picked without replacement from {c: 1, w: 9, r: 1}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64254717 is divided by 1731?\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*t - 27 - 75 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.793 - 0.893. Which is the closest to 3? (a) q (b) -2\/35 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24101.\nAnswer: 7, 11, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (-68 + 69 + (-10 - -2))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.283 rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20300 and 7975?\nAnswer: 223300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*n**4 + 4*n**4 - 5*n**4)*(-2 - 4*n + 2 - 2).\nAnswer: 28*n**5 + 14*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**2\/13 - 323540*u\/13 = 0. Calculate u.\nAnswer: 0, 161770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/7 - 2*l**3\/7 + 13*l**2\/7 - 10*l\/7.\nAnswer: -l*(l - 2)*(l - 1)*(l + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 795 = 7*q + 2517. Let p = q + 540. Is p a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-8)*(-4)\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 7 = 3*f - j, -5*f - j + 2 = 0. Let n be 38 + f\/((-2)\/(-8)). What is the greatest common divisor of n and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -118*g + 118*g + 91*g**3 - 5*g**3 + 0*g**3 + 0*g**3 + (-2*g + 4*g - 3*g)*(g**2 - g**2 - g**2) + 3*g**3 - g**3 + 0*g**3.\nAnswer: 89*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 53150645 divided by -1?\nAnswer: -53150645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sr when two letters picked without replacement from {u: 1, h: 5, r: 4, s: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*j**2 + 7*j**4 - 12*j**4 + 6*j**4 - 5*j**3 to the form g*j + l*j**4 + p*j**2 + m*j**3 + d and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133927.\nAnswer: 199, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 1\/5, -2, 44083.8?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42*(-9 + (-385)\/(-42))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 14. Let y = x + -8. Sort -5, -4, y in ascending order.\nAnswer: -5, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 a when three letters picked without replacement from agxx.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 - 50. What are the prime factors of (9\/((-108)\/(-64)))\/(h\/84)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37276665*g**5 - 2*g**2 + 3532642.\nAnswer: 2236599900*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7275096852 to the power of 1\/2, to the nearest integer?\nAnswer: 85294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.4 (b) 0.8 (c) -5 (d) 2 (e) 2\/153 (f) -2\/13 (g) -94\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 580739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/(-2))\/(5\/(30\/(-9))). Solve b - 4 = -3*d - 0, 5*b - d - i = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ofo when three letters picked without replacement from {o: 3, t: 1, f: 1, q: 5, e: 3}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/414 and 25\/7774.\nAnswer: 69966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 2184 and -25407129.\nAnswer: -25404945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 612 - 631. Do 5\/2 and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 6*w**2 - w + 1. Let z(b) = 13*b**2 - 3*b + 2. Determine 5*t(m) - 2*z(m).\nAnswer: 4*m**2 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50 - -103. Suppose -4*w - 2*g + 202 = 0, -w = 2*g - 58 + 15. Let q = 67 - w. Calculate the remainder when z is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-483)\/(-18))\/(-7) - -4. Sort -12, 2, w in ascending order.\nAnswer: -12, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 10*m - 436. Let p be g(46). Solve 38*h - 32*h - p = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10045*q**2 + 13424*q**2 + 540*q**2.\nAnswer: 24009*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-3)\/(-4)) + (-8)\/(-4). Let m(s) be the first derivative of 2\/3*s - 3 + 2\/9*s**3 + p*s**2. Factor m(b).\nAnswer: 2*(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -131c9 (base 15) to base 7\nAnswer: -343215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.711 - 20.001. Let r = u + 0.29. Let f = r + 17.00000021. Round f to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -8*s + 15. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-four fifths of a decade?\nAnswer: 816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -7*b. Let l(m) = -6*m. Let z(g) = -6*l(g) + 5*u(g). Let t = -19 + 22. Let d(p) = 6 - 9 + 4*p + t. Determine z(d(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320 is divided by 47?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uv when two letters picked without replacement from uppvipjjbbb.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of t**5 - 45\/4*t**4 - 50 + 200*t**2 + 20*t**3 - 960*t. Factor i(x).\nAnswer: 5*(x - 4)**3*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -4*s. Let w be s + (1 - (-2 - -1)). Suppose -n + 20 = 3*j, j - w*n + 5 = -0. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of s**6\/120 + s**3\/3 + 3*s**2\/2 - 2. Let y(h) be the second derivative of b(h). Find the first derivative of y(a) wrt a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4 + 16*k**3 - 37*k**2 - 306*k + 648.\nAnswer: -(k - 9)**2*(k - 2)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-48)*(-744)\/((-26412)\/(-213))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21552 divided by -3592.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((189\/(-14))\/9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*5\/((-30)\/21). What is the common denominator of 33\/16 and (-388)\/(-16)*(-2)\/r?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ha when two letters picked without replacement from {h: 7, a: 6}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f**5 + 44*f**4 - 75*f**3 + 46*f**2 - 8*f = 0 for f.\nAnswer: 0, 2\/7, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 938, 880, 820, 758, 694, 628, 560?\n\"Answer: -d**2 - 55*d + 994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*u**5 - 728531*u**3 + 272*u + 169481 wrt u.\nAnswer: -580*u**3 - 4371186*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z**3 + z + 7. Let m(b) = -4*b**3 + b + 8. What is 5*m(h) - 6*n(h)?\nAnswer: -2*h**3 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l - 4. Let w be u(0). Let m(x) be the first derivative of 5 + 3\/2*x**2 - 3*x + 1\/3*x**3. What is m(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*f = -3*f + 119, 2*m - 69 = 5*f. Calculate the remainder when m is divided by (-4)\/(-18) - 106\/(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(176) + sqrt(11))**2*-2.\nAnswer: -554","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -5378*g + 16157. What is z(3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -7439709.\nAnswer: 14879418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by (33\/22)\/(6\/100)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 9*g**2 - 2)*(-2 + 3 + 0)*(1 - 4 + 2).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000022484294 to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -683\nAnswer: 273.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(768) - (sqrt(768)*3*-6 - sqrt(768))))**2 + -3*(-1*sqrt(12)*4 + 1).\nAnswer: 24*sqrt(3) + 307197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 111 - 103. Suppose -x*m + 5*m = -9. Which is smaller: m or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 725933 is divided by 109?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Solve k - 1 = 17*r - 14*r, 3*r = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/2 + 655392*y + 90429813\/2.\nAnswer: 3*(y + 69)*(y + 436859)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/98 + 345060\/11371185.\nAnswer: -2\/191","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4*sqrt(425) - sqrt(425)) + 2*sqrt(425) + 1)**2.\nAnswer: 200*sqrt(17) + 170001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (44\/2 - -2)\/(2 - 0). Calculate the highest common divisor of 12 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 383.\nAnswer: -3\/383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -2*t - 3. Suppose 2*r - 42 = 5*u, -t*r + 55 - 11 = 2*u. What is the greatest common divisor of 176 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553829\/152430 + 9\/24*4\/9?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 16*d**2. Let a(j) = 633021*j**2. What is a(n(k))?\nAnswer: 162053376*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.29722 in -4, 2\/7, -3\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-13)*x*x**(1\/6))\/(x*(x*x**(-14))\/x*x*x*x*x\/x**(-2\/15)*x) assuming x is positive.\nAnswer: x**(-89\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11706*k*z**5 - 2*k*z**2 + 651*k*z - 2*k + 6*z**5 - z**2 wrt z?\nAnswer: -702360*k*z**2 + 360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3501574 - 13?\nAnswer: -3501607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-298 + 120 - 1363 - 169 - 1017)*(2*b**5 + 5*b**5 - 2*b**5).\nAnswer: -13635*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 34855355 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1103 (base 7) in base 3?\nAnswer: -112122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 215949*i*r + 698*r + 151 with respect to i.\nAnswer: 215949*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11421, 11418, 11415?\n\"Answer: -3*i + 11424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*g**3*t**2 - 34*g**3 + 948*t**2 + 3 wrt t?\nAnswer: -4*g**3*t + 1896*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -8*d**2 + 2. Suppose 3*f + 5*r + 4 = 0, -154*f + 3*r + 12 = -151*f. Give t(f).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4588?\nAnswer: 2, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {c: 3, y: 1, z: 6, h: 4}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cu when two letters picked without replacement from {g: 4, c: 3, u: 2, f: 4, s: 4, h: 3}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fe when two letters picked without replacement from {f: 1, y: 1, n: 4, b: 1, e: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hzzoolhhhuhz. What is prob of sequence ohzz?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11022 - 34153?\nAnswer: -45205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13186384 and 19184.\nAnswer: 1744","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 337*a - 334*a = -d + 22, 4*d - 88 = -5*a. Put -1, 3, 0, d, -75 in descending order.\nAnswer: d, 3, 0, -1, -75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 37, -5, -10, -123, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 893.9465 meters in micrometers?\nAnswer: 893946500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 - ((-3 - -4)*0)\/2. Suppose 4*p - 2*d + 10 = 0, -o*p + d + 2*d - 13 = 0. Suppose 0 = -3*z + 2*z + 3. Sort -3, p, z in descending order.\nAnswer: z, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/4, -4, 0.6, 0?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2825 is divided by 38.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3084518 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 - 10 = 3*x. Let c(s) = -s**3 + 11*s**2 - 8*s - 8. Let i be c(x). Suppose -j + i = j. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 295*h**4 - 114*h**3 + 241047*h.\nAnswer: 3540*h**2 - 684*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7506297.\nAnswer: 3, 173, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*x**3 + 17 - 2*x - 26*x**2 + 27*x**2 - 15 to the form v*x + k*x**2 + o*x**3 + j and give o.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2590692 or -2590690?\nAnswer: -2590690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/24 and -34\/13899.\nAnswer: 111192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33876 is divided by 6774.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -273*i + 138*i - 156*i.\nAnswer: -291*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18859417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p**2 - 5*p - 4. Suppose -5*o + 35 = 10. Let f(z) be the second derivative of -5*z**4\/12 - 4*z**3\/3 - 3*z**2 - 351*z. Calculate o*f(i) - 8*t(i).\nAnswer: -i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182*9.\nAnswer: 1638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -24 - 702*a + 646*a + 24 - 1858*a + (3 - 3 + 1)*(5*a - a - 3*a) in the form m*a + y and give m.\nAnswer: -1913","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62420 is divided by 153?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 161986483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30.3 + -24. Let p = -14749177 - -14749183.3000047. Let j = v - p. What is j rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of g**4\/4 + 2*g**3\/3 - g**2\/2 + 8*g + 5. Let w be y(-3). Suppose -9*q = -w*q - 21. Solve -5*o - q + 13 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 286314.4 and -2.4421.\nAnswer: 286311.9579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 + -123231303?\nAnswer: -123231323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(-1\/4)))**(1\/8)\/(v\/v**0)**(18\/5) assuming v is positive.\nAnswer: v**(-571\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10805 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 99895.11mm in meters?\nAnswer: 99.89511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j = 4*j + 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, k: 1, x: 1, t: 1, s: 1, z: 1}. Give prob of sequence txp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 10 (b) -263 (c) 0.2 (d) -275 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -1. Let k = 312 + -212.4. Let r = -100 + k. Which is the closest to j? (a) 2\/23 (b) 0 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.64 + 1.24. Let l = 42\/13 - 207\/52. What is the third biggest value in -4, y, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2567425911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -189181, -379861, -570541, -761221?\n\"Answer: -190680*l + 1499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 939, 1104, 1291, 1512, 1779, 2104, 2499?\nAnswer: 2976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a minute in milliseconds?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52690397?\nAnswer: 61, 257, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11\/4 - -481\/60. Suppose 3*f = -92 - 40. What is the common denominator of n and 8\/10*30\/f?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/2))**(-8)*f*f\/f**(-15)*f\/f**(-2\/7) assuming f is positive.\nAnswer: f**(100\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/131102 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(500)*2*-6)**2.\nAnswer: -720*sqrt(5) + 72009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-12)\/x)\/(x**(3\/10)\/x) assuming x is positive.\nAnswer: x**(-123\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 445 = -3*u, -3*s - 447 = -3*u - 6*s. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 8, -5*q + 23 - 495 = -4*i. Calculate the least common multiple of 20 and (q\/(-18))\/(2\/3).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 + 38. Let s be j*-2*(-50)\/15. Let w = s + 1. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 23, -29, -133, -307?\nAnswer: -569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*m = -25*m + 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.4 - 1. What is the third biggest value in -5, 4, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 - 2)*(-3 - 2*y + 3)*(-672780 + 459*y + 672780) to p*y + w*y**2 + m and give w.\nAnswer: 918","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 + -44. Let i be ((-60)\/(-25))\/((-3)\/d). Let o(f) = 48*f + 7. Is o(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4471, -8950, -13429?\n\"Answer: -4479*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 53700 and 510150?\nAnswer: 1020300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 46*d - 2387. Give n(77).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 16*g**3 + 2*g**2 - 2*g + 12. Let y be o(4). Suppose 0*h = -4*h + y. List the prime factors of h.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 2*v - 174 = 0, -p - 4*v + 6*v = -36. Calculate the lowest common multiple of 336 and p.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -6*m - 31. Calculate d(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5869295*a**3 - 2070047*a**2 + 3*a wrt a?\nAnswer: -35215770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97166, 97191, 97216?\nAnswer: 97241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9, 5, -13, -51, -115, -211?\n\"Answer: -q**3 - q**2 + 6*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 21*c**2 + 31*c + 43. Is a(21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -15105*d - 311. Let h(p) = 8*p. Give h(a(z)).\nAnswer: -120840*z - 2488","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 11*y - 80 = 0. Suppose 0 = -2*i - l + 10, y = 4*i + 4*l - 3*l. Suppose 0*d + 15 = 5*d. Sort i, 4, -5, d in ascending order.\nAnswer: -5, d, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 5)*(2*c + 2*c + 14*c + 0*c + 0*c - 2*c + (0 - 1 - 1)*(2*c + 0*c - c) + 10*c - 6*c + 3*c).\nAnswer: 42*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, y: 2, w: 2, j: 8, u: 4}. What is prob of sequence ay?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 135139468?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 272371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*b + 21. Suppose -9 = -5*f + 4*a, f + 2 = -f - b*a. Solve 0 = -4*m + 5*m - f for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 2*c = -2002. Let k = -184 + c. What are the prime factors of k?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -7*h**2. Let w(l) = 355*l - 1369. What is w(v(f))?\nAnswer: -2485*f**2 - 1369","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*p**4 + 126*p**3 + 168*p**2 + 34*p = 0. What is p?\nAnswer: -1, -1\/4, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4857592 by 607199.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (28 + 0)\/4 + 1. Suppose 5*y + f = -42. Let j(g) = g**2 + 6*g - 12. What is the tens digit of j(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 38*x**2 + 36*x + 40. Let p be z(37). Let t be p\/(-2)*10\/15. Sort t, 5\/4, -0.3, 0.7 in descending order.\nAnswer: 5\/4, 0.7, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1656\/27)\/((17 + 780\/(-45))\/(1\/2)).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w**2 - 5*w - 5. Let i(t) = 8*t**2 + 14*t + 14. Let z(g) = 5*i(g) + 14*v(g). Let h(s) = -32*s**2. Calculate z(h(n)).\nAnswer: -2048*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 3 - 4 + 0 + d + d**3. Let m(q) = 6*q**3 + 0*q - 20674 + 20666 + 8*q**2 + 8*q. Calculate m(l) - 8*p(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21035247.\nAnswer: 3, 7011749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/7 + 11*v**3\/7 + 27*v**2\/7 + 25*v\/7 + 8\/7.\nAnswer: (v + 1)**3*(v + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 106630 rounded to the nearest one thousand?\nAnswer: 107000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -11*y. Let n(c) = -91*c**2. Determine n(u(g)).\nAnswer: -11011*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -20028 (base 11) in base 15?\nAnswer: -8a42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31.91 - 32.91. Let k be (12\/8)\/((-3)\/4). Let u be (k\/12)\/((-4)\/16). What is the closest to u in 1\/6, 0.5, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2248985 is divided by 2248979.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 11*z**6\/6 - 10*z**5 - 3336. What is g in p(g) = 0?\nAnswer: 0, 50\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1249590 to the nearest 10000.\nAnswer: -1250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) -3 (b) 0 (c) -72\/13 (d) -1 (e) -1\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of k**7\/30 - 3*k**4\/4 + 17*k**2. Find the second derivative of z(w) wrt w.\nAnswer: 84*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*v - 5*p + 13046, -2*v + 8710 = -3*p. Suppose 0 = 4*q + 1068 - v. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86292403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -5\/94?\nAnswer: -5\/94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**6*r)**(-21)*r**21*r**(-3\/11) assuming r is positive.\nAnswer: r**(-1389\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28602 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4973349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*w**4*x - 22*w + 3*x + 72 with respect to w.\nAnswer: 16*w**3*x - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1395)\/744)\/((-2)\/(-16))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 87 = 45. Let s(c) = 2*c + 34. Let y be s(a). Let r be (5\/50*-18)\/(y\/(-20)). Is r less than 19\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 214 - -1?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4 = -16. Let y be p\/33 + (-664)\/(-22). Let c be 3 + (0 - 9\/3)\/(-1). Calculate the greatest common divisor of c and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 17*x - 12. What are the prime factors of b(-8)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 781049368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -3*y**2\/2 + 1. Let v(j) = -j + 2. Let a(o) = -2*o + 3. Let u(s) = 2*a(s) - 3*v(s). What is u(d(z))?\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44083*v + 42 = -44100*v - 162 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -5, -4, 35, 0 in decreasing order.\nAnswer: 35, 13, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12 (b) 1 (c) -5 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.057 + -2.043. Let o = 1.3 + l. Let s = -0.8028 - o. What is s rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - c + 8 = 0, 2*r - 5*c - 3 - 3 = 0. Let q be (-6)\/2 - -2 - -3. Suppose 0 = 2*x + q*x - 8. What is the second biggest value in x, r, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-1\/3))**5 assuming h is positive.\nAnswer: h**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -798865\/25425246 - -53\/1694. Let q = -29284\/5508303 + u. Which is bigger: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -7*g - 17, 754*x - 4*g = 750*x + 8 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*w + 24 = -17, 0 = 3*v + 5*w - 13. Let u be 13 + v\/3*(-33)\/(-22). Let l = u - -55. What are the prime factors of l?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 333 = -167. What is the remainder when s is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*a + 15*a - 27*a)*(5 - a - 5)*(3*a + 4*a - 5*a)*(4*a + a - 3*a).\nAnswer: -16*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*g - 162*g + 504*g - 550 = 169*g for g.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -210 or 658?\nAnswer: 658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9632 and 202874?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2618 and 154?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 43\/16, -17, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*r**2 + 12*r**2 - r**4 + (2*r - 2*r**3 - 2*r)*(-4*r + 3*r + 3*r) + (r**2 - 3*r**2 + r**2)*(0*r**2 + 0*r**2 - 6*r**2).\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1*(sqrt(56)\/(sqrt(2)*2*5 - sqrt(2)) + ((sqrt(280)*-1)\/sqrt(10) + 5)**2).\nAnswer: -178*sqrt(7)\/9 + 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 84 = 5*k - 24*k - 6*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 630 greater than 630?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - 8, -5614*f + q - 1 = -5613*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-30)*o**(-8\/3))**21)**(-23\/5) assuming o is positive.\nAnswer: o**(15778\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(6*(-10)\/(-240))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l. Let g(f) = -1399519*f. What is g(h(d))?\nAnswer: 4198557*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -5. Let w be (m - (-1)\/(-2))*2. Let u be 19 - (0\/w + 2). Calculate the highest common factor of u and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7978099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express f - 2*f**2 - f**2 - 12*f**4 + 10*f**4 - 2 in the form h + x*f + i*f**2 + t*f**3 + d*f**4 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - -0.37. Let m = i + 0.03. Sort 1\/3, m, -2 in decreasing order.\nAnswer: 1\/3, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4391000 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -24, -42, -78, -138?\nAnswer: -228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xhx when three letters picked without replacement from {x: 2, a: 1, h: 1, u: 3}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -3 (c) 5 (d) -72 (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 91936337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 5, 9, 14 in descending order.\nAnswer: 14, 9, 5, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 - 60*m**2 + 8*m + 240.\nAnswer: -2*(m - 2)*(m + 2)*(m + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29? (a) -3 (b) 0 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 18*f**3 + 11*f**2 - 2*f - 6. Let b(n) = 4*n**3 + 2*n**2 - 1. Let m(l) = -11*b(l) + 2*q(l). Let i(a) = 7*a**3 + 4*a + 1. Calculate 7*i(c) + 6*m(c).\nAnswer: c**3 + 4*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*1.22084.\nAnswer: 2.44168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 8 = p. Is p at least as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -277 + 294. Let b be (0 + -102)*16\/(-6). Calculate the greatest common factor of b and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -332503 (base 7) in base 5?\nAnswer: -3333213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((2 - -5 - (-4 - 3)) + 8)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 138*t**2 + 21*t + 108. What are the prime factors of l(-7)?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 10:53 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f = 9*f - 40050. What are the prime factors of f?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = -28 - 17. Suppose -27 = -8*n + 5*n. Suppose 2*y = -5*v - n, -y = -2*v - 0*y. Sort v, 2, 4, c in decreasing order.\nAnswer: c, 4, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cm when two letters picked without replacement from vmvvchhccvhmhhchvmh?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**4\/3 - 68312*d**3\/3 - 682874*d**2\/3 + 523564*d - 273168 = 0.\nAnswer: -34146, -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49.33218418 + 3.\nAnswer: -46.33218418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5*n**4 + 13*n**3 - 3*n**2 - 5*n - 4. Let l(a) = -11*a**4 - 28*a**3 + 7*a**2 + 10*a + 9. Let c(x) = 13*g(x) + 6*l(x). Factor c(b).\nAnswer: -(b - 1)**3*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = a + 2*a. Suppose 17 = 3*q - 4*b, -3*q + a*b + 23 = 2. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1\/r)**3)**(-46) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 2. Let d(u) = u**3 - 8*u**2 - 42. Let t(l) = d(l) + 5*x(l). Find the first derivative of t(j) wrt j.\nAnswer: 3*j**2 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2005 + 7361 - 3880)*(6*f**4 + 2*f**4 - f**4).\nAnswer: 10332*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41696821 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w**3 - 2*w**3 + 4*w**3)*(-4*w + 3*w**2 + 4*w) + 128*w**2 + 80*w**5 - 128*w**2.\nAnswer: 86*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -2*y + 2*r, 9 - 47 = 3*y - r. Let p = 0.021322 + -0.051322. What is the second smallest value in p, -5, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)\/(3*sqrt(9)) + -3)**2 + -2*sqrt(833) + 3.\nAnswer: -16*sqrt(17) + 125\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 + (-73)\/2)\/((-142)\/284) is divided by 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/296 and 17\/310596?\nAnswer: 22984104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3377.649 - 3458.8. Let x = -0.151 - g. Let d = 87.48 - x. What is d rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7969, 7980, 8013, 8080, 8193, 8364, 8605?\n\"Answer: 2*n**3 - n**2 + 7968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -9*w**4 - 3*w**3 - 10*w**2 - 3. Let k(r) = -8*r**4 - 2*r**3 - 9*r**2 - 2. Let b(v) = 3*k(v) - 2*q(v). What is the third derivative of b(f) wrt f?\nAnswer: -144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -5*d**2 + 3. Let n(m) = 6*m**2 - 6*m - 15. Let h be n(2). Let b(x) = -4*x**2 + 2. Calculate h*b(i) + 2*q(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 369\/4715 + 276\/529?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.122 - -0.122. Let j = -31\/156 - 119\/39. Is j not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31.9 times 0.28\nAnswer: 8.932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 0.2 (c) -30 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 951725 is divided by 158617.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 5*h - 13, -4 = 4*x - h - 2. What is the closest to 0.017 in x, 4, 7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1212210012 + 10?\nAnswer: 1212210022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 118159.\nAnswer: -5\/118159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 17 - 15 - (25 - -21)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**4 - 264*k**3 + 5973*k**2 - 37536*k - 43776 = 0. What is k?\nAnswer: -1, 16, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-33 - -35) + -17 + 21\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 62854054?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2. Let l(c) = 20*c - 19. Let k(u) = -7*u + 6. Let x(n) = -17*k(n) - 6*l(n). Let b be x(10). List the prime factors of y(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -17120*i. Let q(z) = -3163*z. Calculate q(h(x)).\nAnswer: 54150560*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4780 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/28 and (-102)\/(-30) - 3 - (-214)\/(-160).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 671 = -4*s + 207, -3*r - 2*s = -728. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 310338 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 510369 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4311?\nAnswer: 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*v - 483 = -203. Solve v*j + 14*j - 63 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*n + 27*n + 26*n - 110*n + 22*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6493*u**2 - 6*u**3 + 12783*u**2 - 6290*u**2.\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2750*d**2 + 4*d - 10. Let u be z(4). Let p be u\/8 + (-24)\/32. Round p to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 3 - 14*c**2 + 17*c**2.\nAnswer: 3*c**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5329.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*o**3*w + 8*o**3 + o**2*w - 19*w - 2 wrt o.\nAnswer: 60*w + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -218054837953\/27060 + 88640300\/11. Let p = 1\/205 - s. What is the common denominator of 55\/98 and p?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50 - 49.59. Round g to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31427 and 19954?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 + -25. Suppose -12 = -f - c, 37 = 2*f + 4*c + d. Calculate the remainder when 19 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*o = 42, -2*o - 3*o + 5 = -p. Let z = -5 + p. Is (z\/(-4))\/(3\/(-228)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 31 + 26. List the prime factors of ((-605)\/22)\/(b\/2).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -227 - -95. Let r be 2*2866*(-2)\/x. Let n = 260\/3 - r. What is the biggest value in 2, 1, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111110100011101100 - -100?\nAnswer: -1111110100011101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 7) in base 16?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -22 + 6 + 124 + -118?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11129, -22120, -33111, -44102, -55093?\nAnswer: -66084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1217\/81527 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*p + 163 + 29 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x**2 + x + 2. Let k be y(-4). Let d = -47 + k. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + t = 0. Suppose -2*c = 2*d, c - 6*c + d + 12 = t. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -78 + 0?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*x**4 - 35*x**2 - 737*x.\nAnswer: 84*x**2 - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -465*k*n**2*x**2 - 72*k*n + 4*k + 14*n**2*x**2 + 2*n**2*x + 4*n + 5*x**2 - 81 wrt k.\nAnswer: -465*n**2*x**2 - 72*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4)*(-86237*m**2 + 86237*m**2 + 132*m**4).\nAnswer: 264*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005271 rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-114736140)\/(-110) + 3 - (-2)\/22*2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 305294*q + 6 + 305289*q - 610584*q. Let n(b) = -10*b + 55. Let z(d) = d + 3. Let s be z(3). Determine s*n(v) - 55*x(v).\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 6.2. Let d = f + 0.3. Is 0.1 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 1466*q**7\/21 - 199*q**4 - 3524*q. What is the third derivative of z(n) wrt n?\nAnswer: 175920*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - v = -13, -5*t - v + 9 = -6. Suppose u = -z + 3*u - 2, u = -t*z + 11. Solve 3 = z*i + 11 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 8:15 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1251, -3, 0.044274?\nAnswer: 0.044274","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -9. Let j = 1142 + -1143. Which is the closest to 0.08? (a) 3 (b) j (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 37.\nAnswer: -3.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0014588 * -0.2.\nAnswer: -0.00029176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - (-58)\/(-10))*-30. Suppose -2*v + 15 + 33 = 0. Calculate the greatest common factor of v and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21.04 + -21. Let d = s + 2.96. Which is the nearest to -2.4? (a) d (b) 2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -g - 25. Suppose -20 = -10*l + g*l. Let d = 3 - 0. Solve -l*q - r = r - 4, d*q + r - 5 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(-1*sqrt(704)) + (-1 + sqrt(17)*2*-3)**2.\nAnswer: 95*sqrt(17)\/8 + 613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 378 and 42147.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -25563*t - 127750. Determine z(-5).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 414 greater than 347?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -x - 11, -42*x + 38*x + s = 80. What is the nearest to -2\/7 in 5\/3, -3.2, x?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of i**5\/24 + i**4\/12 + 67*i**3\/3 + i**2 - 196. Let z(x) be the third derivative of f(x). Suppose v + 0*v = -2. Calculate z(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11979191.02 rounded to the nearest 100?\nAnswer: 11979200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 99 and 4.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10033 + -5?\nAnswer: -10041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 107 = -5*f, 4*t = -4*f + 5*f - 3. What is the remainder when 814 is divided by f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**3 + 3*u**2 - 2*u. Let p be q(1). What is the hundreds digit of (-180)\/(-120)*584\/p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -763*n**3\/3 - 704*n**2 + 63*n + 7. Find the first derivative of y(l) wrt l.\nAnswer: -1526","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-93)\/(-9)*(-96444)\/(-94)?\nAnswer: 2, 3, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 12:18 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 963.0807 microseconds to milliseconds.\nAnswer: 0.9630807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 392 and 898394?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3530*s - 185258 - 35134 = 5107*s + 546*s for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37*1.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2, -108, -322, -640?\n\"Answer: -52*a**2 + 46*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/2 + 7001043*k\/2 + 10501560.\nAnswer: (k + 3)*(k + 7001040)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 620824334?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -3*w**2\/2 + 51201*w - 58285035\/2 = 0.\nAnswer: 579, 33555","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2275*m - 30. Let r(t) = 2*t**2 + 21*t. Determine d(r(b)).\nAnswer: -4550*b**2 - 47775*b - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/4 (b) 0.489 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-50)*(-105)\/(-14)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 4*z - 572 + 314 = -288, 5*u - z - 17 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/25*x**3 + 404\/25*x + 144\/5 + 18\/25*x**2 = 0. Calculate x.\nAnswer: -9, -2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13582, 19182, 28516, 41584?\nAnswer: 58386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3.330587cm?\nAnswer: 0.00003330587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 - 60 - 2*s**2 + s**2 + 111 + 15*s.\nAnswer: -s**2 + 15*s - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three eighths of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/2)\/(z\/(z*(z**1*z)\/z*z))*(z**(-1\/3)*z)**(-22))\/(((z\/z**(-1\/2))\/(z\/(z**(1\/6)\/z)))\/(z*z*z*z*z*(z**0*z)\/z*z)**21) assuming z is positive.\nAnswer: z**(679\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = -33*z + 1571 - 182. What is the highest common factor of 47 and z?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1033*w + 1248*w + 7*w + 576*w + 1734*w.\nAnswer: 4598*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 12*x**2 - 11*x**2 + 1)*(4*x - x + x) to h*x + o*x**3 + i + k*x**2 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 0*s = 4*i + 12, -2*i - 6 = 4*s. Suppose n + 2*m = -s*m + 20, -3*n - 3*m = -45. Which is smaller: n or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2648 divided by -1324.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3 - 3 + 2 + 2 + (-1 + 4 - 4)*(-2 + 1 - 1) + 0 + 2 + 0 - 25 + 12 + 26)*(3*f - 3*f - 4*f**3) + 4*f + f**3 - 4*f.\nAnswer: -79*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40205 and 1562147.\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 20*t. Let f be o(-3). Let c = 130 + f. What is c rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -o + 3. Let i(s) = -2 + 3 + 4 - s. What is i(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + 2 + 42\/15. Which is the second smallest value? (a) -2 (b) 5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + y**2 + 4*y + 2*y - 6*y.\nAnswer: y**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6072?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0*f - 414 = f, 2*v - 5*f - 430 = 0. What is the remainder when v is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1644422886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1 + (11 - 15)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4699456*s**3*t - s*t + 13755532*t with respect to s.\nAnswer: -14098368*s**2*t - t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**13\/(y\/(y**(-23)*y)) assuming y is positive.\nAnswer: y**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 310691\/6 at most as big as 51783?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 3, -11049696.\nAnswer: -11049696, -0.04, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of 7*j**9\/72 + 9*j**5\/4 + 6*j**2 - 5*j. Find the third derivative of t(c) wrt c.\nAnswer: 5880*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204452 is divided by 4891.\nAnswer: 3921","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5435546 + -54401009\/10. Let g = h - -4559. Find the common denominator of 218\/40 - (-1 + 1) and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(51)\/(sqrt(3)*2) - (sqrt(51)\/(sqrt(12) - sqrt(3)) + sqrt(68)\/(sqrt(12)\/sqrt(3))).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.082, 4, 11858 in increasing order.\nAnswer: 0.082, 4, 11858","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 v when two letters picked without replacement from {v: 11, e: 5}.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 811 = 2*f - n, -f + 416 = n + 2*n. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*p - 127 + 22 = 79*p. Sort -2, p, 7, -11 in ascending order.\nAnswer: -11, p, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -193*h**5*s**2 - 27*h**5 + 11*h + 1002*s**2 wrt h.\nAnswer: -3860*h**3*s**2 - 540*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 161423\/124845 - -1\/8610. Find the common denominator of c and -39\/22.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - 12, -2*i - 24 = -7*v + 3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 4*q. Solve q*g = -4*g + 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m**2 + 2*m. Let g(v) = -v**2 - v. Let o = 17 + -28. Let j(x) = -x**3 - 23*x**2 + 174*x - 4. Let z be j(-29). Determine o*g(t) + z*a(t).\nAnswer: -t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -240931 - -18?\nAnswer: -240914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 241962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2116, -8475, -19074, -33913, -52992, -76311, -103870?\n\"Answer: -2120*p**2 + p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2069?\nAnswer: 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1207441951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + n - 25. Give a(0).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -101*k + 12. Let n(g) = 101*g - 16. Calculate 4*h(s) + 3*n(s).\nAnswer: -101*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.1 - -0.1. Let p = 27 - a. Let i = -18.5 + p. Round i to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3173 divided by 1\nAnswer: 3173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4088904.3312 plus 0.02?\nAnswer: 4088904.3512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 278288135*t**2 + 251333007*t + 1.\nAnswer: 556576270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 8:39 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m + 6 + 0*m - 6 + 0*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) 1\/4 (b) 1\/3 (c) -24 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25296683 is divided by 12648341.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8966*q**2*v**3 - 82*q**2 + 2*q*v**2 + 7*q + v**2 wrt v.\nAnswer: -53796*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 352 and 378521176?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-6))\/o*o\/o**11*(o*o**(-4\/15))\/o**(-2\/3))**33 assuming o is positive.\nAnswer: o**(-2409\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o + o - 2*o - 8*o.\nAnswer: -13*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 3*j = -14, -2*b + 0*b - 1 = j. Suppose -5*a - 11 = -5*c - 1, -2*c + b = -3*a. Sort a, -4, -1 in ascending order.\nAnswer: -4, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l**2 + l + 6. Calculate j(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2323055 divided by -10.\nAnswer: -464611\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6442?\nAnswer: 2, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000239983985 rounded to 5 dps?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -14. Let i = 36 - 59. Let q = i + 71. What is the highest common divisor of q and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**2\/11 - 8*g - 714\/11 = 0.\nAnswer: -7, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 24 + 6)*(123 - 123 + 15*v + (v + 0*v + v)*(-1 + 0 - 1)).\nAnswer: 319*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -2. Let i = 2.8 + 0.2. Let s = i + 1. What is the closest to m in -3, -4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g + 77 = 69 + 93. Let f(k) = -k**3 - 4*k**2 + 9*k + 22. Determine f(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -267.009881 + -0.312119. Let f = j + 267. Let x = f + -0.078. Which is the closest to 3\/2? (a) 0.4 (b) 5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) 740 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7037029 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 410608 is divided by 416.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4 = 4*n. Factor -n - 3 + 3 - p**2 - 4*p + 0*p.\nAnswer: -(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 2, 2*n + 0*n + 49 = -5*d. Let x = d - 0. Let q be 26\/(-36) + (-2)\/x. Which is the nearest to q? (a) -5 (b) 0.2 (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i - 1. Suppose 4*r + 3*h = -3 - 14, 0 = -2*r + h - 1. Let v be u(r). Let q = v - -19. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1310200554?\nAnswer: 2, 3, 13, 31, 41681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2262 and 9828.\nAnswer: 285012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**3 + 38*z**2 + 70*z + 311. Calculate v(21).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 93194.254567 and 550?\nAnswer: 92644.254567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 5*a, -5*a + s = -23 + 18. Suppose -3*r = -2*w + 11, -6*r - a*w - 19 = -3*r. Let g(f) = f**3 + 5*f**2 - 8*f - 6. What is g(r)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1008, -2014, -3020, -4026, -5032?\nAnswer: -6038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -141846*30.\nAnswer: -4255380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 z when three letters picked without replacement from {z: 3, a: 4}.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 3*h**2 - 9*h - 19. What is the lowest common multiple of r(-3) and 121?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 510199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2. Let v(c) = -152*c. What is a(v(h))?\nAnswer: -46208*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*o - 5*o**3 + 0*o**3 + 3*o)*(-15 + 7 + 6) as c*o**2 + y*o**3 + r*o + h and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4 + 12*g**3 - 96*g**2 - 432*g - 432.\nAnswer: 3*(g - 6)*(g + 2)**2*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32839 is divided by 444?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n. Let j(q) = -q - 21. Let h be j(-13). Give i(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**2\/5 + 2484*w\/5 - 1542564\/5 = 0. What is w?\nAnswer: 1242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-224)*(-292)\/(-1460)?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-10) - ((-73899)\/45)\/7. Let g = -125 + d. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 870, 858, 824, 756, 642, 470, 228, -96?\nAnswer: -514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**2 + 0*q**2 + q**2 + (-2 + 5 - 2)*(4*q + q - 6*q)*(1 - 3*q + 2*q + 13).\nAnswer: 3*q**2 - 14*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a**3 - 8*a**2 - 16*a - 12. Let y(p) = -4*p**3 + 6*p**2 + 15*p + 11. Let j(k) = 3*c(k) + 4*y(k). Determine n so that j(n) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -57\/4 (c) -10 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22 or 109\/5?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(121))\/(6*sqrt(44)\/sqrt(4))*1.\nAnswer: -5*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -17.1. Let h = 19\/3 - 7. Does z = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 27 = -3*b, -b = -2*b + 3*d + 9. Let q(v) = 7*v + 3. Calculate the remainder when q(3) is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 224 and 252.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -1. Let t(z) = -19*z + 57. Let d(i) = -t(i) - 57*u(i). Let h be d(2). Suppose 0 = -5*l + 3*l + h. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-2)\/(-4)) - -145. Suppose 2*a + t = 5*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2798545 to the power of 1\/3, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 5. Let l(k) = 0 + 13*k - k**2 - 5 + 1. Let v be l(13). What is the nearest to -1\/2 in t, v, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**4\/3 + 610*s**3\/3 + 2675*s**2.\nAnswer: 5*s**2*(s + 15)*(s + 107)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 4*x - 96, -4*b - 3*x = b - 149. Calculate the remainder when b is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -60*t**3*y**2 - 43*t**3*y + t**3 - 8*t**2*y + 7*y**2 + 8 wrt t?\nAnswer: -360*y**2 - 258*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 314508697.9932 + 0.5?\nAnswer: 314508698.4932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 e when three letters picked without replacement from egeiigmq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*c + 298, -c - 24 = 4*v - 88. Does 12 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k**2 + 57*k + 291. Determine b(-12).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -31a?\nAnswer: -319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*a - 19*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 222666 or 222659?\nAnswer: 222659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -88 (base 14) to base 12\nAnswer: -a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2 = 14. Suppose 0*y = 5*y + p*u + 3, 0 = 4*u + 8. Calculate the lowest common multiple of 2 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234233 is divided by 2069?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5*w = 11, -3*n - 13 = -5*n - 3*w. Let z = -9 + 11. Solve f + n = -z for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 2\/5, 8, -8302?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -166\/5*t - 2\/5*t**2 - 2144\/5.\nAnswer: -2*(t + 16)*(t + 67)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.071551 - -30582?\nAnswer: 30581.928449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158366398.\nAnswer: 2, 79183199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 128*i**2 + 1177*i - 8. Give n(-8).\nAnswer: -720","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 4*y**2 + 2*y + 7. Let b be f(-5). Let t = b + -13. Factor 27*g**2 + 2*g**4 - g**4 + 27*g + t*g**3 + 0*g**4.\nAnswer: g*(g + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - m + 2, 5*m = 10 + 10. Let n be 21\/2*(-14)\/(-21). Let z be (0 - -2) + -1 + 1. Solve h*f - y = -n, -4*f - 3 = y + z for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/36 + -1*(-26)\/36\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 + -20. Let u = 12.99 - q. Round u to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153 = 2*a + 4*h - 155, -4*h - 33 = -5*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -38) + 178 + -231\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 837090?\nAnswer: 2, 3, 5, 71, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*l**2 + 2*l**2 + 5*l**2 - 2*l**2 in the form n + u*l + f*l**2 and give f.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2653\/(-3032)*(-13)\/(-91)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a - 4. Suppose -4*z + 1 = 13. Let n(j) = 0 + 7 - 5*j + 2*j. Let g(x) = -5*x + 15. Let p(h) = -2*g(h) + 5*n(h). Give z*c(s) - 2*p(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*q - 129 = 4*q, 2*q = -2. Suppose 5*z + 61 = 4*w, -4*w + r = z + 9. Calculate the remainder when 17 is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 121 + -40232?\nAnswer: -40111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/4)\/((-3)\/12). Suppose -3*t = -g - 29. What is the remainder when t is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p + 16, -9 = -3*n + 2*p - 1 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**4 + 0*m**4 - 5*m**4)*(-2 - 2 + 20).\nAnswer: -32*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 616 - 326. What are the prime factors of m?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5563.8 plus 1?\nAnswer: -5562.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 4*v - 0 - 16, -4 = 4*p - v. Suppose 60 = 6*f - f. Suppose p = 2*c - 10 - f. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 213653050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*(-10 + 112\/12). Let j(q) = 57*q + 3. Give j(c).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-2\/3)*q**(-7))**6\/((q\/(q**(-7)\/q))\/((q\/((q\/(q\/(q*q**(2\/17)))*q)\/q*q))\/q)*q**(1\/5)*q*q\/((q\/q**(-6)*q*q)\/q)) assuming q is positive.\nAnswer: q**(-3172\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12124812 and 33796.\nAnswer: 1988","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/sqrt(72)*-3*-6.\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 3, 0, 4.\nAnswer: 0, 3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*r - 6428913, 0 = -r + 2*r + 5. Suppose -b = 2*b + m. Let n = b - -1032966. Round n to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 49, 4735, -20, 3?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q**2 - 2 + 2 + 6*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 26 = 5*c, 2*c - 5*a = c + 8. Let p(z) = -2*z. What is the tens digit of p(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4*l + 0*l**2 - l**2 + 9*l + 3. Let d = -3734 + 3737. What is the remainder when 11 is divided by v(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23405 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 682580752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 52 = -5*w - 5*p, -5 = -w - 4*p. What is the remainder when 31 is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 106880409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25688262 by -446.\nAnswer: -57597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 149742711 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 591 - 6498\/11. Put -2\/7, -0.1, 0.2, 5, u in decreasing order.\nAnswer: 5, u, 0.2, -0.1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*y**5 - 221*y**2 wrt y.\nAnswer: -1140*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2\/5 (b) 2\/7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44787114 - 44787186.0000016. Let c = 72 + v. Round c to seven decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25 - 120 - -86) + -108?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -23.7519*0.4\nAnswer: -9.50076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 553455 and 0.037.\nAnswer: 20477.835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41020.\nAnswer: 2, 5, 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -472675584 by -2.\nAnswer: 236337792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -2*l + 14. Let o(m) = m**3 + 4*m**2 + 2. Let u be o(-4). Let k = l - u. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 1) + -29 + 30?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -2*s + 2*q + 4, s + 5*q = 2. Suppose -n = -s + 3. Suppose -3*x + x = 0. Sort n, x, 3 in descending order.\nAnswer: 3, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60908\/7 > 8700?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13823.89 + 14386.877. Let z = -563 + o. What is the fourth biggest value in z, -1\/12, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70.5 times -4238.2?\nAnswer: 298793.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(252))**2 + -3 - (sqrt(1008) + 2*sqrt(1008) + 2)**2.\nAnswer: -8071 - 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416 is divided by 50.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -d**3\/6 + 13*d. Is 12 a factor of f(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*j + 30449 - 1797 = 0. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 6:03 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4674, -4670, -4664, -4656, -4646, -4634, -4620?\nAnswer: -4604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66880 is divided by 13368?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t + 2*t**2 + 3*t - t - t + 95 to p + a*t**2 + x*t and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1692, 6047, 13300, 23445, 36476, 52387?\nAnswer: 71172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(4455))\/((-3*sqrt(60))\/sqrt(12)))**2 + -3.\nAnswer: 888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 55158 to the power of 1\/2, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77828.\nAnswer: 2, 19457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 3970 (b) 0.07 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 566 and 22.\nAnswer: 6226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + (-27)\/(-126)*12\/(-9). Let i = v + -74\/35. Let q = -11\/2 + 79\/14. Sort i, 5, q in decreasing order.\nAnswer: 5, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*r**3 - 49043*r - 4*r**2 - 21*r**3 + 49047*r.\nAnswer: 40*r**3 - 4*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6153223*q + 12089 + 20135 = 6153527*q for q.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.84 in 0.4, -1, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3110515 (base 6) to base 13\nAnswer: -52c04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000305830302 to six dps.\nAnswer: -0.000306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16 + 3)\/1 + 27. Let m(i) = 7*i**3 - 2*i**2 + 2*i + 1. Let z(h) = 22*h**3 - 7*h**2 + 7*h + 3. What is k*m(a) - 4*z(a)?\nAnswer: 10*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 160 = -52. What is the remainder when q is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -1 - ((-8 - 37) + 17 + 15).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2178 (base 9) to base 13\nAnswer: 96b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000129614141 rounded to six decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22*216\/(-396)*(-5)\/2*(-4)\/(-3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49883563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 83286809803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l + 23 - 3 = -115 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 33530*k**2 + 2*k - 2. Let j(h) = 4*h. What is j(f(y))?\nAnswer: 134120*y**2 + 8*y - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*k = -7*k - 10*k + 423 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -969, -1945, -2921, -3897?\n\"Answer: -976*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 + 358*w + 38*w**3 - 8*w**5 + 87*w**3 + 528*w**2 + 77 + 138*w - 84*w**4 - 37*w**3 = 0. Calculate w.\nAnswer: -11, -1, -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -312481594 - -312481770.000097. Let g = 176 - k. What is g rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 4. Let c(l) = -5*l + 10 + 7*l + 5*l + l**q. What is the units digit of c(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 10 = 5*a. What is the third derivative of 288*q**3 - a*q**2 - 288*q**3 - 8*q**5 + 5*q**2 wrt q?\nAnswer: -480*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102262 (base 13) to base 7\nAnswer: 3124342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*y - 43*y**3 + 2*y + 9*y + 17*y.\nAnswer: -43*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -292*h**2. Let i(s) = 20 - 3*s**2 + 8*s**2 + 9 - 29. What is i(q(m))?\nAnswer: 426320*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.26 - -0.16. Which is the third biggest value? (a) -3 (b) x (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xh when two letters picked without replacement from {s: 4, x: 2, h: 6}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/19, -0.2, -3.467?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -28 + 19*l - 3*l**2 - 6*l + 19*l - 4*l + 6*l as q*l + t*l**2 + i and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 1:19 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16246 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -4*w**2 + 2*w + 1. Let k(f) be the first derivative of 4*f**3\/3 - 3*f**2\/2 - 2*f - 112. Determine 2*k(d) + 3*r(d).\nAnswer: -4*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7246, -29020, -65318, -116140, -181486, -261356?\nAnswer: -355750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 13*s**2 - 11*s + 4. Is g(12) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -2 (c) -3 (d) 798 (e) -5\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2674 is divided by 650.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 161 times 43.7\nAnswer: 7035.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - a**2 - a. Let k(d) be the third derivative of 0*d**3 + 147*d**2 + 0*d + 1\/60*d**6 - 1\/10*d**5 - 1\/3*d**4 + 0. Give -k(o) + 6*m(o).\nAnswer: -8*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 1:01 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213054277 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1261260 divided by -3003.\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9*1 - (-3 + 6). Let m(w) = w**3 - 5*w**2 - 7*w + 9. Let y be m(d). Which is the third smallest value? (a) y (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -371*a**3 + 0*a**2 + 10*a**4 + 370*a**3 - a**2 + 3 as h*a**3 + x*a + r*a**2 + i*a**4 + z and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -101 + -10?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (69 + -61 - (11 + -1)) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/396)\/((-30)\/(-324)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3687, -7376, -11065, -14754, -18443?\n\"Answer: -3689*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 119.242 weeks to milliseconds.\nAnswer: 72117561600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -300*f**5 - 2735*f**4 - 2713*f**3 - 1047*f**2\/4 + 73*f\/4 + 2 = 0.\nAnswer: -8, -1, -1\/10, 1\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/4)\/(5\/(-4)). Let p be (4\/4)\/((-1)\/(-9)). Let y be p\/60 + 2\/8. Which is the closest to y? (a) -1\/7 (b) s (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-903)\/98 - (450\/42 - 9).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1364*a + 25968 - 72155 - 16557 = 0 for a.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 + 230364530?\nAnswer: 230364541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t = -9*t + 240. Let x be (-268)\/10*(-9)\/(-2). Let l = x - t. Which is the third biggest value? (a) l (b) 1\/3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 181\/3234 and 13\/2024.\nAnswer: 297528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281*k - 3314 + 193 = 251 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - s + 1. Let u(v) = 5*v**3 - 6*v**2 - v + 1. Let i(k) = -f(k) + u(k). Suppose i(x) = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/9 (b) 247\/5 (c) 0.02138 (d) 1\/10 (e) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1602.07173ms in weeks?\nAnswer: 0.000002648928125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1203 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3039 is divided by 82?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 3*c + 10 = 16, 0 = -2*c + 8 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 17*i + 5. Let u(d) = 38*d. Give v(u(f)).\nAnswer: 646*f + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90, 195, 300, 405, 510, 615?\nAnswer: 720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-30)\/4)\/((-1)\/2). Let r(a) = -a**2 - 6*a - 6. Let n be r(-6). Let x(z) = -5*z. Let m be x(n). What is the highest common factor of m and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -710, -6833, -23472, -55889, -109346?\n\"Answer: -877*j**3 + 4*j**2 + 4*j + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-2))\/(r\/((r\/((r**(-4)\/r)\/r*r))\/r))*(r*r\/r**(-1))\/r*r**1*r assuming r is positive.\nAnswer: r**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 36552825 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 29473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50226 and 107335245.\nAnswer: 2283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*p**2 - 1 + 1 - 63*p**2.\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a milligram in micrograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 take away -11680?\nAnswer: 11686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 95*y + 3 + 39*y + (1 + y - 1)*(2 + 0 + 1) + 3*y + 3*y - 2*y as j + r*y and give r.\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**7\/210 - j**6\/18 - 7*j**5\/30 - j**4\/2 - 5*j**3\/6 + 6*j**2 + j. Let w(m) be the first derivative of z(m). Factor w(u).\nAnswer: -4*(u + 1)**2*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/2 + (-414)\/324\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 52 (b) 1\/3 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 75 - 35. Let b = -40.002 + w. Round b to four decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (34529\/(-1518) - -23) + (-2)\/(-2 + 14). Which is the second smallest value? (a) 0.96 (b) y (c) -0.5 (d) 3 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) -0.7 (c) -3\/5 (d) -41750 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**5 + 30*j**4 + 23*j**3 + 77*j**3 + 9 + 140*j**2 + 13 - 936*j + 1026*j = 0. Calculate j.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 6*m + 2*m - 16, -3*m - 57 = 2*d. Sort -3, d, 2 in decreasing order.\nAnswer: 2, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, y: 2, q: 4}. Give prob of sequence rry.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*q - 8. Suppose 16 = -3*m + 19. Which is smaller: m or q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 247288657*w**3 + 165214363 wrt w.\nAnswer: 741865971*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*i**3 - 36*i**3 + 71*i**3.\nAnswer: -11*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -115*h**2 - 1954 - 7*h + 3907 - 1956 to u*h + s*h**2 + i and give s.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 = h + 3*h. Let b(n) = -n**3 + 2*n**2 + n - 1. Let g be b(3). Let c = h + g. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5457*m - 1143.\nAnswer: -5457","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -6 + 17 + 34?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.16 and 0.0677.\nAnswer: -1.0923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -1065*w - 6396. What is o(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 14, -8, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37*f**4*m + 12*f**3*m + f**2 - 132*f*m wrt f.\nAnswer: 888*f*m + 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - (-5 - (-4 + 2)). Let f(x) = -x**2 + 17*x - 34. Let o be f(19). Let r be (1\/((-50)\/4))\/(o\/(-90)). Is r greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v. Let n(x) be the first derivative of -1\/3*x**3 + 0*x**2 - 21 + 0*x. Determine n(t(z)).\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1111001011101010010 (base 2) to base 4\nAnswer: 1321131102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1\/d)\/d*d**(-1)*d)**(-3\/8)\/(d\/d**(1\/4)*d\/(d\/(d*d**1)))**21 assuming d is positive.\nAnswer: d**(-459\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**4 + 232*j**3 - 678*j**2 - 8*j + 904 = 0.\nAnswer: -1, 2, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/12)\/(3\/66). What is the remainder when 94 is divided by m\/(-143) - 880\/(-52)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -840 + 846. Let n be (z\/42)\/((-30)\/70). Which is the second smallest value? (a) -3 (b) 1\/7 (c) 4 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b*j*n*w - 3*b*w + 9*j**2*n*w - 2*j**2 + 9*n*w wrt j.\nAnswer: b*n*w + 18*j*n*w - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i = -3*v + 18, -4*i + 13261*v + 8 = 13265*v for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27588, 27721, 27852, 27981, 28108?\nAnswer: 28233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 105 = 435. Let g = x - -194. Is g a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*z**6 - 137*z**5 + 363*z**2 wrt z.\nAnswer: -600*z**3 - 8220*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-576)*-261)\/(-1).\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -561073 divided by 2.\nAnswer: -561073\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**3 + 8*h**2 - 4*h + 1. Let d be l(3). Suppose -3*b - 532 = -d*b. Is b a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -4*v - 5*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19552 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2.28, 0.78, 0.0549?\nAnswer: 0.78","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -81 (base 9) to base 14.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -22.5. What is the closest to -1 in 1\/3, p, -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3578, -7153, -10728, -14303?\n\"Answer: -3575*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88 - 84 - (4 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 592 - 1212 + 620 - 52*g**3.\nAnswer: -52*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -269\/4 + 571\/8. Find the common denominator of -39\/20 and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 108233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26112 = -625*y - 911*y for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 + (-4950)\/(-27))\/((-4)\/(-60)).\nAnswer: 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**3 - 5 + 0*x + 0*x + 41825*x**2 + 5 - 41814*x**2.\nAnswer: -4*x**3 + 11*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 55.93885ml?\nAnswer: 0.05593885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 + -14. Suppose 1947 = 22*n + 1881. What is the nearest to 0 in h, 1, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 2*k**2 - 30*k + 2. Let t(p) = -p**2 - p + 1. Calculate -2*t(b) + v(b).\nAnswer: b**3 - 28*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -886 + 1039. List the prime factors of y.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2. Let i(h) be the third derivative of -h**7\/2520 + h**5\/60 + 3*h**2. Let k(w) be the third derivative of i(w). Calculate k(d(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {z: 1, e: 5, m: 7, d: 2, w: 1, j: 4}.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 + 765*u**2 - 28080*u - 91260.\nAnswer: -5*(u - 78)**2*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2138 + -1340. Is 19 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 440 + -230. Is 5 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 8*o**2. Suppose 5*w = -3*r + 165, 3*r - 5*w = -64 + 229. Let f(j) = -r*j**2 - 56*j**2 + 116*j**2. Determine i(f(h)).\nAnswer: 200*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**3 + q**2 + 1. Let z(w) = w**2 + 1. Suppose 0 = -3*i + 1 + 20. Suppose 3*f + 4*f - i = 0. What is f*z(k) - u(k)?\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2042 - -3551. What are the prime factors of g?\nAnswer: 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57 - -2007\nAnswer: 1950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (78*a + 379 - 761 + 384)*(2 + 0 + 2)*(-4 - 4 + 0 + 4*a).\nAnswer: 1248*a**2 - 2464*a - 64","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 44\/5 of a century?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(77)\/(sqrt(7)*-2) + 3)**2 + 3 + (sqrt(176) + sqrt(176)*1 + sqrt(176) - sqrt(11))**2).\nAnswer: -16149\/4 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = c - 36, -258 = -3*c - 5*x - 89 - 81 - 35 for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**3 + 15*b**2 + 578*b - 96. Determine j(20).\nAnswer: 1464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of b**6\/6 - 12*b**3 + 3*b**2\/2 - b + 44. What is the second derivative of x(f) wrt f?\nAnswer: 20*f**3 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**7\/2520 + i**6\/240 + i**5\/60 - i**4\/6 + 4*i**2. Let m(x) be the second derivative of o(x). Solve m(v) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -19*n**2 - 109*n - 23. Let c(g) = 21*g**2 + 124*g + 24. Let b(f) = -11*c(f) - 12*h(f). Calculate b(-18).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 22*l**2 - 609*l - 9802. Let b be u(-16). Calculate the highest common divisor of b and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*a = 31*a + 111*a - 1070 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -21*b + 13. What are the prime factors of m(-4)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/3 and -68\/27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49*x + 233 - 4*x**2 + 237 - 157*x + 2*x + 178.\nAnswer: -4*(x - 3)*(x + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18d (base 14) to base 6\nAnswer: -1253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 0, -1, 4 in decreasing order.\nAnswer: 4, 3, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 105024\/(-7658)*14\/3.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.29 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8250311?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -4. Suppose 4*m - 107 = 3*q, -3*m - t*q + 108 = 32. Let x = m - 15. Solve -w + v - 6 = 0, -5*w - 1 - x = 4*v for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 3:33 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.2 + -17.8. Let j = f + 22. Let n = 0.02 + 0.28. Which is the second smallest value? (a) j (b) n (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 + 7 + (12 - (8 - 8)) + -12.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5770 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*o - 9510123 = -9512013 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 8 - ((1 - -4) + 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19890694 - 1461.\nAnswer: 19889233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 30256, 60372, 90488, 120604?\n\"Answer: 30116*s + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*((-168838)\/1065)\/(-41)*5\/2?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 12, -5812947 in decreasing order.\nAnswer: 12, 0, -5812947","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.04 - 1.96. Let c = -8.6 - r. Let q = c - 2. Round q to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -7*v + 115. Let p = -13 + v. Let w(x) = x**3 - 11*x**2 + 11*x - 8. Let k be w(p). Solve k*t - 3*t = -1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 65*f. Let o(t) = -58*t. What is x(o(z))?\nAnswer: -3770*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -107 - -107. Let b(a) be the third derivative of 1\/6*a**3 + 1\/20*a**6 + 0*a**4 + 6*a**2 + 0*a**5 + 0 + w*a. Differentiate b(g) wrt g.\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-106*y - 133*y - 116*y + 77*y)*((-y**2 + 0*y**2 + 2*y**2)*(0*y - 3*y + y) + 4 - 4 + 14*y**3) as a*y**3 + m*y**2 + k*y**4 + v*y + g and give k.\nAnswer: -3336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 694 is divided by 31?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, h: 5, s: 3}. What is prob of picking 1 s and 1 d?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*u - j, -2*u - 4*j = -17 - 7. Let o(c) = -c**2 + 11*c - 19. What is the remainder when 11 is divided by o(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/288 and 59\/108.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29\/21 + 361\/231. Determine y, given that -2\/11*y**4 - 4\/11*y**3 - p + 4\/11*y**2 + 2\/11*y + 2\/11*y**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1*-1*sqrt(77))\/sqrt(11).\nAnswer: 2 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 4*w. Let y(z) be the first derivative of -z**6\/180 + 18*z**3 - 53. Let p(f) be the third derivative of y(f). Give p(l(r)).\nAnswer: -2*r**4 + 16*r**3 - 32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 12:28 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(1\/4)*q*q*q)\/q)\/q)**(-1\/35)\/(q**3*q**(-2\/3)\/q) assuming q is positive.\nAnswer: q**(-587\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/1 - 2\/2. Suppose -2*g + 5 = k, h*g + 0*k + 2*k = 8. Suppose 3*a = g*p + p - 9, -16 = -3*p - 4*a. Is p even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 x when two letters picked without replacement from uauaxuaauuuuda.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*g = 72*g + 6. What is the third smallest value in -4, -2, g, 12?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 0*p + 6*p)*((2 + 1 - 2)*(-5*p - 3*p - 2*p) + 0*p - p + 2*p).\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23578 is divided by 41.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 + -34. Suppose -n*d + 590 = 3*d. What are the prime factors of d?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -444*q + 446*q + 12 - 5. Let r be (21\/9)\/((-1)\/3). Let d = -13 - r. Give z(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u - 45 - 6 - 33 = 0 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143 = -13*j + 117. Calculate the greatest common factor of j and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**2*o - 55*f*o**3 - 2*f*o**2 - 465*o**3 wrt f.\nAnswer: 4*f*o - 55*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/1)\/((-3)\/(-9)) - -18. Solve -17*v + r = -2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 8558516.2710851?\nAnswer: -8558516.2710851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 + 83. Suppose 0 = 11*g - 5 - 61. Let m be g\/h + (-202)\/(-7). Solve -i + 5*w + 9 = m, 35 = 5*i + 2*w for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/22 + (-6*(-1900)\/1320 - -21)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -63 + 254. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7}. Give prob of picking 2 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8407350.645 + -8295525. Let d = n + -111782.6449924. Let j = d - 43. What is j rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 69*l - 51. Let z be o(12). Suppose 5*n - 5*x - 6245 = 0, -n + z + 452 = 3*x. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6595 - -6501.62. What is y rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**4 - 2*g**4 + 5*g**4 + (4 - 2 + 0)*(3 - 3 - 2*g**4) - 60*g**4 - 43*g**4 + 102*g**4 - 642*g**3 - 2*g**3 - 6*g**4 + 2*g**3.\nAnswer: -12*g**4 - 642*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -i + 3. Let a = i - 1. What is the third derivative of b**5 - 3*b**2 - a*b**5 + 3*b**2 - b**2 wrt b?\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73940652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -892, -887, -882, -877, -872, -867?\nAnswer: -862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 137, 135, 133, 131, 129, 127?\n\"Answer: -2*i + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/2 of a kilometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*0.3161\nAnswer: -0.15805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.3, 0, -25.6034 in descending order.\nAnswer: 0.3, 0, -3, -25.6034","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(105\/(-6)) - 48\/(-21). Solve -y = -2, g*m + 3*y - 2 = -4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190859.\nAnswer: 17, 103, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -154682, -154447, -154208, -153965, -153718, -153467?\nAnswer: -153212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, s: 1}. Give prob of picking 2 v.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -q**5\/5 - q**4\/4 + q**3\/2 + 17*q. Let j(h) = 685*h - 7*h**3 + 685*h - 1364*h - 5*h**2. Determine -3*j(r) + 5*w(r).\nAnswer: r**3 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 1\/2 (c) -1\/2 (d) 6\/5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 21*g - 4. Let m be z(1). Suppose 0 = 19*t - m*t - 10. Is -3*(-1)\/15 - (-174)\/t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4714425 and 21275?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/12*(-15 - (-3 + 0)). What is the units digit of (2 + 3 + z)*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2.1, -2, 5, -3, 1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 1790*t**2. Let f(m) = 6832*m. Give h(f(a)).\nAnswer: 83550440960*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {t: 1, n: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + (2 - 0))*-3. Let r = y + 18. Let b be 10\/6 + (-4)\/(-12). Solve -b*f - 35 + 13 = -3*p, -3*f = r for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 7*b**2 + 4. Let t be c(-7). Let k be t\/(-14) - 2008\/(-7224). Let x = k + -40\/387. Is 0 > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 10. Let k(z) = -1 - 1 - 134*z + 139*z + g. What is k(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 47*j**2 - 43*j - 135. Let v be g(46). Calculate the highest common divisor of 10 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 - -408?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1092994 is divided by 939.\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from ayaaaay.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bt when two letters picked without replacement from bbtbssttbtbbtbsbstbb?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-20)*b**(-2))\/((b**(-17)*b)\/b*b\/b**(-8)) assuming b is positive.\nAnswer: b**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13037\/4 - -3243. Find the common denominator of m and 57\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -51*t**4\/4 + 27*t + 7. Find the first derivative of l(b) wrt b.\nAnswer: -153*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 149410594 to the nearest integer?\nAnswer: 12223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 13.187628.\nAnswer: 2.6375256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**2\/11 + 1560*d\/11 + 304200\/11 = 0.\nAnswer: -390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express n**2 - 2*n - 7 - 2*n**3 + 6 - n**2 + 2*n**4 as a*n + u*n**2 + z*n**4 + r*n**3 + o and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 32*o - 2. Let z(r) = 32*r - 3. Let i(v) = 5*y(v) - 4*z(v). Is 10 a factor of i(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 6*j - 5. Let u be p(7). Let f be -46*u\/28 + 3. Let y be 1\/4 + (-1)\/(-12). Which is the nearest to 2? (a) y (b) f (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 525 = -9*p + 4*p. Find the common denominator of -29\/3 and (154\/p)\/(6\/20).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -1 - 1 - p + 5. Let d be u(0). Let s = -1 + 1. Solve d*g = -s*g + 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hxhv when four letters picked without replacement from {x: 4, h: 6, v: 4}.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 67615473 and 21.\nAnswer: 473308311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 b when four letters picked without replacement from bqbbbqbqqbbbqbbbbbb.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*m, -5*m + 0*m + 10 = 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z + 2. Calculate the least common multiple of (-308)\/(-21)*((-9)\/6 - -3) and x(-3).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 88625864 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0237050127 rounded to three decimal places?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-12)*(-3)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 65\/3 of a decade?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 - 42 = 3*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23730*d**3*t + 277*d**3 + 8*d*t + 7*d - 7 with respect to t.\nAnswer: 23730*d**3 + 8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2841 - 61*q**2 - 1421 - 53*q**2 - 1420.\nAnswer: -114*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9432\/8 + -1 + 7. Calculate the greatest common divisor of 79 and i.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 0\/(-1)) + 3. Suppose -c - k*c = -30. Calculate the remainder when 52 is divided by 5*(26\/c - -1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -21*i**2. Let a(m) = 8*m - 20. Let y(d) = 23*d - 56. Let n(c) = 17*a(c) - 6*y(c). Determine n(w(x)).\nAnswer: 42*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3*(2968\/(-159) + 8)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 - 804*m**2 + 4070*m.\nAnswer: -2*m*(m - 5)*(m + 407)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1223 + -769. Let q = b - 387. What is the remainder when 187 is divided by q?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 5*m - 325, -14*t = -10*t - 4*m - 380. Suppose -710 = -6*d - 134. Let c = d + 4. Are c and t nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*r**3 - 7*r**3 + 10*r**4)*(4 + 1 - 3) - 6*r**4 + 0*r**4 + 3*r**4 + (-r + r - r)*(0*r**2 + 0*r**2 - r**3) - 2*r**4 + r**4 - 2*r**4.\nAnswer: 15*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 6:59 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m - 5*m + 0*m + m**2.\nAnswer: m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 8) to base 10\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41782 and 650?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 1174*h - 1178*h + 60 = 0, -5*y + 39 = 3*h for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-60)\/15 - (-146)\/20. Which is bigger: g or 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 12:33 PM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {p: 1, v: 1, g: 4, y: 2, n: 9}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 80 - 212 = -2*l, 2*a - 264 = -4*l. Let v = l - 40. Let s = v - 25. Is s greater than 2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-162)\/24)\/9)\/(75\/(-10))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + v = -2*k + 4445, 5*v = 3*k - 6674. Suppose -2*n - k = -5*n. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - -53. Is 38 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25044, -50089, -75134, -100179, -125224, -150269?\nAnswer: -175314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1807*o + 1394*o + 2 + 0 - 21179*o.\nAnswer: -17978*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of 1\/30*r**5 + 5\/24*r**4 + 0*r + 0 - 1\/120*r**6 + r**2 + 1\/2*r**3. What is the tens digit of f(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddodsdoosooo. What is prob of sequence sds?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -15. Let m be -4*((-156)\/48 + 3). Solve 0 = -w - m + i for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1\/19, -3\/7, 0.16, -67, 73?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26270765 is divided by 824.\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.012 (b) -1\/5 (c) 0.2 (d) -0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*j + 71 = -161. Put -25, -4, j, 0 in ascending order.\nAnswer: -25, -4, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -563962, -563915, -563846, -563743, -563594, -563387?\n\"Answer: 2*m**3 - m**2 + 36*m - 563999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55*(24\/5)\/6?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - 12. Let g = 10 - a. What is the second derivative of n**4 - 2*n**5 + g*n**4 + n - 3*n**4 wrt n?\nAnswer: -40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2. Suppose 0 = -2*x - 13 - 9. Let d(j) = -5*j - 149. Let u(p) = p + 29. Let v(a) = x*u(a) - 2*d(a). Calculate b(v(o)).\nAnswer: 2*o**2 + 84*o + 882","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1911 - 1911 - 4*m**5 + 28*m - 4*m**2 + (m**3 + 3*m**3 - m**3)*(-m + m - m**2).\nAnswer: -7*m**5 - 4*m**2 + 28*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 253477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 2301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/15*(-18)\/(-165)*(421872\/102)\/(-47)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 1\/4, 3\/2, -0.4, -2, 2, 1\/11, 439?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-21)\/(-14))\/((-1)\/(-2)). Suppose 8*y - h*y = -2*k + 6, 5*k - 15 = -2*y. Solve -5*f - 4*r = -41, -k*f - 5*r + 25 = -2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -369 + -28?\nAnswer: -392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttwt when four letters picked without replacement from {t: 5, w: 7}?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-26)*(-1)\/(-59). Let q = 3078\/3835 - y. Factor -2\/5*u**4 + 0*u + 0 + q*u**3 - 2\/5*u**5 + 0*u**2.\nAnswer: -2*u**3*(u - 1)*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -9*s**2 + 15*s + 20. Let p(i) = 13*i**2 - 24*i - 31. Let m(q) = -8*k(q) - 5*p(q). Let d(g) = -24*g**2 + 18. Determine 5*d(r) + 18*m(r).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1021224440 (base 5) to base 6\nAnswer: -113415320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/400 and -99\/5240.\nAnswer: 52400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -1 + 13 + -29?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 45245411 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 790196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of 2 + 1\/24*m**6 - 7*m - m**2 + 17\/80*m**5 - 5\/6*m**3 + 1\/8*m**4. Factor d(i).\nAnswer: (i - 1)*(i + 2)**2*(5*i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -4*j + s - 15, -s + 5 = -2*j. Factor 2*q**2 - 3*q + 3*q - 2*q**4 + j*q.\nAnswer: -2*q**2*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 6*r**3 - 5. Suppose 0 = -7*o + 112 - 77. Let i(w) = -7*w**3 + 4. What is o*i(z) + 4*n(z)?\nAnswer: -11*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*c*l**2*m - 2*c*l**2 + 4*c*l - c*m + c + 142*l**2*m + 119*l**2 + 22*l + m wrt m.\nAnswer: -3*c*l**2 - c + 142*l**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 68\/167? (a) 1 (b) -16\/13 (c) 0 (d) -2 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 1\/4*w**4 - 5 - w - 4\/3*w**3 + 0*w**2. Is v(5) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11234378?\nAnswer: 2, 5617189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2274 is divided by 207.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32057 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.3 - 2. Let j = -0.6 - x. Which is the closest to 0? (a) -2 (b) -2\/13 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.199 (b) 0.3 (c) -0.188 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s**2 + 17*s - 9. Calculate x(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -67030 (b) 6 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4126 a factor of 154221628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157 + 471 = 2*c. Suppose 4*u + 7*x - 3*x - 160 = 0, -x = 4*u - c. Calculate the remainder when u is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*y + 10 - 2. Let c(h) = -7*h + 9. Let b(p) = 1. Calculate y*c(z) + 6*b(z).\nAnswer: 7*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170983*m = 171026*m - 182 - 205 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4867 divided by -4257\nAnswer: 4867\/4257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3658, 5168, 7682, 11200?\n\"Answer: 502*h**2 + 4*h + 3152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 4 = 0, -795*q = 4*t - 796*q + 17 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 785, 1286, 1787, 2288?\n\"Answer: 501*y + 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22463.\nAnswer: 7, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -2729, -4, -5 in descending order.\nAnswer: 27, -4, -5, -2729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 815 - 311 = -36*p for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b + -97c28?\nAnswer: -97c34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**2 - 14*a - 34. Give v(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(3*(sqrt(425) - (sqrt(425) + 0))*4 + (sqrt(425) + -1 + -3 - (-1*sqrt(425) + 2)))*-5*-6)**2.\nAnswer: -2700000*sqrt(17) + 39060000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -3*z + 26, -2*p + 7578827 - 7578798 = -5*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + (sqrt(78)*-1)\/sqrt(6))**2 - sqrt(52)\/sqrt(4)*-3.\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**2 - 192*q - 9216 = 0.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*(0 - -1) - -8. Suppose -5*n + 530 = -h*x, -106 = x + 5*n - 0*n. Let w = -68 - x. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4e9a34 + 0?\nAnswer: -4e9a34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t**2 + 14*t - 35. What is q(5)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 + -56. Let n be 5 - (-2 - (3 - v)). Calculate the highest common divisor of n and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d + 50 - 54 - 7*d. Let w be c(-4). Calculate the highest common factor of 4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/(-10) + (-6 - 39\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 550177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 10:01 PM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-88)\/11 + 3 + 8. Sort -0.3, k, -5, 15 in decreasing order.\nAnswer: 15, k, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 63 by -3188.\nAnswer: -63\/3188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*x**3 + 52661*x - 105317*x + 0*x**2 + 52654*x + 0*x**2.\nAnswer: -65*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -1\/5, 58599.63?\nAnswer: 58599.63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.8*-466\nAnswer: 372.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + t - 3*t)*(-6*t + 32*t - 1 + 0 + (-3*t - 4*t + 6*t)*(4 + 2 - 4)).\nAnswer: 24*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/8)*(a*a**(4\/7))\/a*a*a*a)\/(a\/(a*a**(-7)\/a*a)*a**0) assuming a is positive.\nAnswer: a**(-185\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((((3*sqrt(420) - sqrt(420))\/sqrt(12))\/(sqrt(252) + sqrt(7)))**2 + -1).\nAnswer: -116\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 4 - (-2 - (6 + -3)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 450 and 200?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(-408)*20\/35)\/(9\/12)?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s + 4 = -5*n, -6*s - 3*s + 7*s = -3*n + 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2812 divided by -1406?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4393 divided by -23.\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x - 5*p, -8*x - 25 = -5*x - 2*p for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(931) - sqrt(931))*3 + (sqrt(19) - (3 + (sqrt(171) - sqrt(19))) - sqrt(19))**2 + sqrt(475)*-2.\nAnswer: -40*sqrt(19) + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 37, 16, -5, -26, -47, -68?\n\"Answer: -21*j + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*x + 32*x = -264 - 374 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r**2 - 5*r. Let d be z(2). Let u(g) = 2*g. Let v be u(-2). Sort d, v, 5.\nAnswer: v, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**3 - q + q + (6*q**3 - 2*q**3 + 4*q**3)*(-2 + 0 + 3).\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -37751217 in 2, 0.2, -4, -5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 j when three letters picked without replacement from {q: 12, x: 2, j: 2, v: 2}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10816 + 18307. Does 33 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -7070*f - 169690. Calculate c(-24).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 37, -9, -2 in increasing order.\nAnswer: -9, -5, -2, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r + 13*r**2 - 3*r + 8*r - 5 + 3*r. Is j(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 100, -3, 1 in descending order.\nAnswer: 100, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*(-3)\/(-6)*1. Let k be 3*(-5)\/(-6)*z. Suppose 2*x = 5*d - 19, 8*x - 4*d = 3*x - 5. Solve 0*q - 2*y - 1 = -k*q, 8 = 2*q + x*y for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2997*s + 32986. Determine j(-11).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u**4 - 34*u**3 + 16*u**2 + 5*u + 5. Let n(a) = 8*a**4 - 84*a**3 + 40*a**2 + 12*a + 12. Let o(f) = 12*l(f) - 5*n(f). What is w in o(w) = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 7*v + 9. Let u be z(6). What is the derivative of 38*p**3 - 44*p**3 - 35*p**u - 13 wrt p?\nAnswer: -123*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -3\/7, -0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, k: 1, g: 1, t: 1, y: 3}. Give prob of sequence tygh.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2. Let k(o) be the first derivative of 4*o**2 - 12. What is k(r(w))?\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -464 - 51 = -147*c - 74 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -682*r - 19 + 493*r + 19 to v + t*r and give t.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1\/10, 1\/11, 1\/3, -39 in descending order.\nAnswer: 1\/3, 1\/10, 1\/11, -0.1, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 4:00 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 4*v + 145 - 149, 2*k = 13*v + 5 - 18 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49249?\nAnswer: 17, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/78 and 37\/156.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5621611 is divided by 295874?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/(-75)*1\/3)\/(-1)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -792 and -109225 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-6)*2*1185\/20. Let c = -77 + b. Suppose 2*m = -c*s - 4, 3*m + 7 = -8*s + 4*s. Is s < 31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4812977?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 3*r = 0. Solve r = 8*s - 10*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -27, -45, -63, -81, -99, -117?\n\"Answer: -18*s - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 12. Suppose -a - 49 = 5*o - n*o, 5*a + 285 = -5*o. Let d = a + 70. Solve 2*t + d = -3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1113 - 795. Calculate the remainder when g is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.03 + -0.23. Let i be -3 + 166\/60 + 2\/(-12). Let t = -0.7 + -1.3. Which is the closest to t? (a) i (b) -5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1231246227\/712 - 1729278. Let j = 3\/89 - f. Let u = 83\/56 - j. Find the common denominator of -40\/3 and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18056.55 + 0.02?\nAnswer: -18056.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 390 = 4*f + 2*j, -18*f = -22*f + 2*j + 386. Suppose 0 = -3*n - 5*k - 133, 2*n - k = -6*k - f. Find the common denominator of (50\/6)\/(2\/(-12)) and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3b4 - -9885?\nAnswer: a079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 888 * -434\nAnswer: -385392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ncnnrncnnniyfcnrnr. What is prob of sequence iyn?\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1517250 by -6.\nAnswer: -252875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44212 is divided by 22024?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, -0.3, -1\/8, 8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -20707230 and -20707229 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + m = 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(-114539*f + 214029*f - 112928*f).\nAnswer: -26876*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2*t - 14, -4 = 4*k + 2*t - 70. Suppose -3*m = 23 - 98. Suppose -23*d = -m*d + k. What is the highest common divisor of d and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a + 5. Let k be h(0). Let o = -5402 + 5400. Sort 3, -4, o, k in decreasing order.\nAnswer: k, 3, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -16) + (35 - 16 - -1 - -17)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 265*4\/120 - 21\/(-72)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 71. Which is the nearest to -1\/2? (a) -0.1 (b) -3\/7 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76610233 to the power of 1\/2, to the nearest integer?\nAnswer: 8753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.11 (b) 0.3 (c) -1.2 (d) 0 (e) -6\/13 (f) 0.7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/2, 5\/3, 438, 695, 3\/5 in decreasing order.\nAnswer: 695, 438, 5\/3, 3\/5, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o, 5*l + 6*o = o + 35. Let q = -5 + l. Let p be (0 + q)*(-25)\/(-10). Which is the closest to -1? (a) 0.4 (b) p (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196*w**5 + 1050*w**4 - 4785*w**3\/4 + 1115*w**2\/2 - 465*w\/4 + 9 = 0. Calculate w.\nAnswer: 1\/4, 3\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (164*s**2 - 326*s**2 + 166*s**2 + 22)*(2*s - 3*s - s) as w + q*s + x*s**3 + c*s**2 and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/5 (b) -3 (c) 13\/3 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, 4, -4 in ascending order.\nAnswer: -4, 4, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-2))\/(3\/18). Let x(j) be the first derivative of 1\/3*j**i + 2 - j**2 + 0*j. What is the second derivative of x(s) wrt s?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 11:13 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d + 26*d = 5760. Is 45 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -140 + 80. Let q = c + 60. Is q at least -4\/169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x + 63. Let b(y) = 5*y + 64. Let f(j) = 6*b(j) - 7*t(j). Let s(g) = -2256613 + g**2 + 2256613. Give f(s(m)).\nAnswer: 2*m**2 - 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*o + 9 = 0, -o + 2*o = -2*m + 3. Solve -c - 3*c - 4 = m for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -0*u + 2*u - 16, -4*u = -5*j + 52. Solve 10*t + 8 = j*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -5*a - 2. Let h = a + 8. Suppose h*n - 13 = 51. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9624 + 67371\/7. What is the fifth biggest value in -1, -22, d, -27\/7, 0.1?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2272.304242 + 2272.3. What is m rounded to 4 decimal places?\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -4 + 33 + (1\/(-1) - 1) and 30?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + -19 + 1 + -11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyffuuufkujuufuu. Give prob of picking 1 u and 1 y.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3362244?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 13) to base 11.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*a + 24. Suppose -154 = 3*r - a*r. Calculate the greatest common factor of 11 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-31)\/(-10) + (-19)\/190. Suppose -5*g = 2*p + 2*p + 88, 5*g = 20. Is 2 + (18\/p - (-1619)\/m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**17*(v\/(v**(-13\/2)*v))\/v*v*v*(v**(1\/7))**(-3))**(-1\/2) assuming v is positive.\nAnswer: v**(-337\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 + 2132*c - 39064.\nAnswer: -4*(c - 514)*(c - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 35 = -2*k - 4*b, -3*k = 5*b - 105. Suppose -4*q = -56 - 16. Calculate the remainder when k is divided by q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t**3 - 31*t**2 - 259*t - 311. Determine h(-6).\nAnswer: -737","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85.0000114 - 85. What is n rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9\/4 of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 30412*u + 14393. Let z(i) = -15204*i - 7199. Let j(w) = 3*s(w) + 7*z(w). What is the first derivative of j(c) wrt c?\nAnswer: -15192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q**2. Let l(z) = 203*z + 4. Let n(u) = 3870*u + 35. Let y(m) = m - 2. Let o(g) = n(g) - 20*y(g). Let i(t) = 75*l(t) - 4*o(t). Calculate i(k(r)).\nAnswer: 525*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 6*o**2 + 16*o + 11. Let j(n) = n**2 + n - 1. Let u(b) = -5*j(b) + q(b). Suppose 0 = -45*z - 474 - 111. Is 14 a factor of u(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4838232713 to the power of 1\/3, to the nearest integer?\nAnswer: 1691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 8. Let n(s) = s**3 + 2*s**2 + 2*s + 1. Let a be n(b). Let v = a + 24. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -5*v - w, 2*w = -v - 13 - 1. Let l be 0 - -3 - (-25)\/3*3. Is l + 12\/(-3 - v) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123956 * 18.87\nAnswer: -2339049.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3447185087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-4)*0 - 0. Let f = s + 1. Let r be (-6)\/(-12)*(1 + 3\/3). Is r at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -541582 * 0.3.\nAnswer: -162474.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 260719761 to the nearest integer?\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1422020 divided by 1940\nAnswer: -733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-30)\/(-75))\/((-3)\/(-15)). Let m(z) be the first derivative of 3*z - 1 + 0*z**i + 1\/3*z**3. What is the first derivative of m(g) wrt g?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1355681.8019 to the nearest 100.\nAnswer: 1355700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 95.7 + -5. Let v = t - 91. What is the nearest to 2\/7 in 3, v, -0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -460927 divided by -460927?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**3 + 15*s**2 - 17*s - 56. What is the remainder when 541 is divided by u(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/7))**(-11\/4)*o**3*o**(-3) assuming o is positive.\nAnswer: o**(-33\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (70\/2)\/((-43)\/(-9589)). Calculate the highest common factor of 35 and w.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.58 + -7.63. Which is the closest to 2\/9? (a) -3 (b) 0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25729\/10 - 4924523\/1914. Let r = -760239\/11165 - z. Let t = -206\/3 - r. Put -0.3, t, 2\/5 in increasing order.\nAnswer: t, -0.3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1006 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.6 + -9.5. What is the second biggest value in 34\/9, 2, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**31\/((n\/(n\/n**30))\/n))\/(n**(23\/2)*n**(7\/3)\/n) assuming n is positive.\nAnswer: n**(-65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - 0 - 1\/4. Suppose -2*c + 14 = 4*n, 3*c + 4*n = 10 + 15. Suppose 2*i + 2*d + 10 = 0, 31 = -i - 4*d + c. Is i less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 3*x**3 + 1 - 2 - 1 to the form l*x**3 + a*x + y*x**2 + h and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j**5\/6 - 29*j**4\/2 + 1747*j**3\/6 - 1859*j**2\/2 - 874*j\/3 + 944 = 0. What is j?\nAnswer: -1, 1, 4, 24, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1cb55c (base 14) to base 10\nAnswer: 1030062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}