diff --git "a/data/dm_maths/full_data_1/10215_11255.jsonl" "b/data/dm_maths/full_data_1/10215_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10215_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let j(d) be the third derivative of 23*d**5\/60 + 25*d**4\/24 - d**3\/3 + 4*d**2. Is 16 a factor of j(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 3*p - p)*(10*p + 9 - 9).\nAnswer: -20*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8420191?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 27689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 2*m + 1. Let f(q) = -12 - 3*q**3 - q - 3*q**3 - 5*q + 3*q**3 + 13*q**2. Let u(y) = f(y) - 5*k(y). Find the second derivative of u(w) wrt w.\nAnswer: 12*w + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 9, g: 1, w: 2, z: 8}. Give prob of picking 2 w.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 13*i - 6. Sort -4, -5, 23, i in descending order.\nAnswer: 23, i, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y + 53*y**2 - 3*y**3 - 115684 + 115680 + 43*y**2 + 3*y to the form f*y**2 + n*y + i + h*y**3 and give f.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 4. Let b be 7\/l + (-4)\/(-6). Solve j + 4*n - 3 = -2*j, 4*j - 11 = -b*n for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02603 to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 98*m**5 - 635964*m**4 + 1030942704*m**3 + 2654423008*m**2 + 1264278048*m + 168584256 = 0.\nAnswer: -2, -2\/7, 3246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -4*j**3 + j**2 + 2*j - 211. Let g be f(0). Let q = -169 - g. What is the greatest common factor of q and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3018022 (base 10) to base 4.\nAnswer: -23200310212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide (2076\/7)\/(13*42\/9555)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.02, 79\/14, 0.3, -16?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 717156 divided by -358578.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x - p - 3*p, 0 = -x + 2*p for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/19, -10.8, 1\/39, 2\/7, -0.3, -4, 5\/4?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6304924?\nAnswer: 2, 193, 8167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0.3, 89\/9?\nAnswer: 89\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (2 - -1 - 3)) + 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 336 minutes after 6:25 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -118, -250, -440, -688, -994, -1358?\nAnswer: -1780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38565?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56 - -115. Let x = -59.8 + l. Let f = 57\/4 + -407\/28. What is the second smallest value in x, -3\/5, f?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*k - 3*q + 4*q, 4*k - q + 24 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.57472 times 5151\nAnswer: 2960.38272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**3 + u**4 + 100 - 3*u - 100 + 2*u**2 + u to the form s*u**3 + k + y*u + l*u**4 + a*u**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 573568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-20) - 82\/(-10). Let s(p) = -235*p + 3. Let z be s(r). Let q = 17723 - z. What is q rounded to the nearest one thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (9 - 3) - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 584\/3 + -1165\/6. Factor -5\/4*h**3 - 1\/2 + 5\/4*h + g*h**2.\nAnswer: -(h - 1)*(h + 1)*(5*h - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 759713 and 322828.\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b - b - 20*b**2 + b + 131*b**2 to f*b**2 + u*b + q and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2190 and 32631?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/(-3))\/24*2*15. Suppose 2*q + w = 5*b - 2*q, 2*b = -4*q + 2. Let u be (2\/b)\/(8\/(-92)). Are u and -24 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -5) + (-1 - -6 - 27)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 23*y**2 - 711*y - 45. Let x be p(31). Let h(d) = 12*d**3 - 6*d**2 - 17*d + 3. Let g(u) = -4*u**3 + 2*u**2 + 6*u - 1. Calculate x*g(o) + 6*h(o).\nAnswer: 4*o**3 - 2*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*t = -74*t - 30 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1108, -2223, -3334, -4441, -5544, -6643, -7738?\nAnswer: -8829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-45)\/(-20))\/(3\/16). Let k = 286 - 277. Calculate the highest common divisor of k and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1542*s - 3*l - 44 = 1547*s, 4*s = -l - 38 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 3:49 AM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b**2 + b**2 + 0*b**2)*(-6 - 1 + 1) - 247*b**2 - 257*b**2 + 44 + b + 503*b**2 to t + g*b**2 + u*b and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31590430*f**2 - 69617273 with respect to f.\nAnswer: -63180860*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence atm when three letters picked without replacement from aaamuutjatt?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 148703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/3*37*(-24)\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -151760597*w**3 + 2*w**2 - 2*w - 59961?\nAnswer: -910563582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -9*n**3 - 2*n**2 + n - 2. Let d be u(2). Let g = d - -181. What is the derivative of 212*m - g*m + 33*m**2 + 37 - 111*m wrt m?\nAnswer: 66*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + 41. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1964 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-33)\/22 + 1802\/4 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -0.3 (c) 0.24832 (d) -1\/172\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c + 11. Let x be q(2). Suppose 5*b + 5*k - 5 = 95, 0 = 4*k - 20. Let o be (21\/(-9))\/(-7)*b. Solve x*j + i + 12 = -3, -2*j = o*i + 29 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22643537.\nAnswer: 7, 462113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.02 - -0.52. Put 12.4, 3, -2, d in decreasing order.\nAnswer: 12.4, 3, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*-4*(-6)\/(-8). Let k be 8*(7\/(-35) + (-3)\/10). Which is bigger: l or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -276. Let b(g) = -2*g + 5. What is -b(f) - t(f)?\nAnswer: 2*f + 271","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 0 + 0*k**4 + 0*k - 1\/3*k**3 + 6*k**2 + 3\/20*k**5. Differentiate p(c) wrt c.\nAnswer: 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 5*j**2 - 3*j + 7. What is h(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 3:09 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 471570.9 millennia in decades?\nAnswer: 47157090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5888913453.\nAnswer: 3, 71, 9215827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1199839183 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v - 5. Let x be w(-9). Let t(r) = -x*r**2 - 5*r**2 + 8*r**2 - r**2. Let z(s) be the third derivative of -s**5\/60 - 5*s**2. Give t(z(n)).\nAnswer: -2*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*v - 464 = -778 - 621 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i**2. Let j(v) = -1 + 23*v - 12*v + 1. Give f(j(t)).\nAnswer: 363*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -112 + 45. Let u = 113 + n. Calculate the remainder when u is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4)\/b**(-16))\/(b**(-2\/5)\/(b*b*b**(3\/11))) assuming b is positive.\nAnswer: b**(807\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*k**3 - 100*k**3 + 11*k**3 + 25*k**3 + 25*k**3.\nAnswer: -14*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7626 and 164.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18064*g - 329198 with respect to g.\nAnswer: 18064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, -0.1, -180?\nAnswer: -180","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zhzj when four letters picked without replacement from hhzzhzhhjhjzehh.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2338294531?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -97014 (b) -0.1 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 3*u - u, -5*u + 27 = 4*k. Suppose -k*a - 7*m = -3*m - 60, -3*m - 81 = -3*a. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 - 1232*n + 189728.\nAnswer: 2*(n - 308)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4 = -12. Let b = 320 - 133. Suppose 3*u + 0*q = j*q + b, 3*u - 175 = 5*q. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 0. Suppose 4*y - 39 = -2*x - x, w*x + y - 30 = 0. What is the remainder when (-2 + 3 - 0)*x is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-1\/9))\/a*a**(-10\/7)*a)\/(a**(5\/11)\/(a\/(a\/(a*a**(-12))))) assuming a is positive.\nAnswer: a**(-8158\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**4 + 2*l**3 - 2*l**3)*(-l - l + 0*l) - l**4 - l**5 + l**4.\nAnswer: 3*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 540\/(-900)*(-50)\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 - (-10 + -8 + 3) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-4)*(-4)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12449276 and 93369570.\nAnswer: 186739140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 877 is divided by 90?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 13*c**3\/3 - 1. Let o(i) be the first derivative of i**3\/3 + 12. Give o(u(k)).\nAnswer: 169*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 73 and 87.\nAnswer: 6351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.33 and 11.\nAnswer: 14.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**2 - 19*c + 39. Let v(l) = 4*l**2 - 38*l + 77. Let t(r) = 5*j(r) - 2*v(r). Is t(13) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 547.963 and 1.\nAnswer: 547.963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 393*o**2 + 3*o - 3. Let p(s) = 17292*s**2 + 131*s - 131. Calculate -3*p(n) + 131*r(n).\nAnswer: -393*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -162 - 98. Let k = x - -273. What is the remainder when ((-1)\/(-2))\/((-3)\/(-132)) is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-20)\/g**(-8)*g**(10\/3)*g\/(g*g**(5\/7)\/g*g))**(3\/4) assuming g is positive.\nAnswer: g**(-197\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.4, 1, -2.1, -31\/13497 in increasing order.\nAnswer: -2.1, -0.4, -31\/13497, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-97))\/(1\/1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.103 * -15.7\nAnswer: 1.6171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1097848206 by -14074977.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1131\/(-91) - -12)*(-4)\/6. What is the third biggest value in 66, -2, k, 1\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*j**5\/7 + 4*j**4\/7 + 2*j**3 + 4*j**2\/7 = 0. What is j?\nAnswer: -1, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 575190 by -2905.\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 1. Let q(a) = -a**3 - 8*a**2 + 4*a - 6. Let j(n) = 3*k(n) + q(n). Suppose -3*t - 42 = -2*t. Let r = t - -36. Determine j(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 3\/7 (c) -15 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9202 is divided by 104.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - u + 6. Let y be v(4). Suppose -5*l + 2 = 2*o - y, -3 = l - o. Suppose 0 = l*j + 5*a - 3, 5*j - 2*a + a = 21. Solve -4*b - j = -2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 11*i - 24. What is the units digit of h(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 46119941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjxd when four letters picked without replacement from ojjdqojgojjgjqjjx?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 6 (c) -3683\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 + 4 + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 a when two letters picked without replacement from wqwaccqqxwqqcwq.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (110*p**2 - 110*p**2 - 7*p**3)*(-2*p + 0*p + 3*p) + (0*p**3 + p**3 - 3*p**3)*(1 - 1 - p) to the form n*p + l*p**4 + u*p**2 + o + a*p**3 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*d**2 - 136790 + 136790.\nAnswer: -13*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than -56101.387692?\nAnswer: -56102.387692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20966, -4, 22, -5, 13.\nAnswer: -5, -4, 13, 22, 20966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -3*p**5\/4 + 19*p**4\/2 - 19*p**3\/2 - 21*p**2 - 11*p. Suppose s(y) = 0. Calculate y.\nAnswer: -2\/5, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 30*x + 19. What is the smallest common multiple of u(-27) and 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 499*w**2 - 459*w + 13. Does 16 divide v(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6587*g**3*v**3 + g**3*v**2 + 42*g**3 + 3271*g*v**3 + 2*g - 135*v**2 + v - 8 wrt v.\nAnswer: 39522*g**3 + 19626*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -110101100001110010 (base 2) in base 9?\nAnswer: -363671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 100*y + 6. Let c(i) = -52*i - 3. Give 5*c(a) + 3*u(a).\nAnswer: 40*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 162 and 10435338.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72, 146, 218, 288?\nAnswer: 356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -53.66 * -18.6.\nAnswer: 998.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 10846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 1 = -3*q, 5*d + 2*q - 23 = 0. Let p = 36 + -32. Let n be -5 + p - -3 - (-5 + 2). Solve -5 = -5*s, -5*f + d = -3*f + n*s for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3203 (base 5) to base 12.\nAnswer: -2b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kphkkdkkhhkkhkpkhkpk. What is prob of picking 3 k?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -176*m + 539425 - 530625 for m.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/7 + 286*l**2\/7 - 10328*l\/7 + 19520\/7.\nAnswer: -(l - 244)*(l - 40)*(l - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1024 + 1016 - (-9 - (-8 - -7))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 30\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/23 (b) 1\/11 (c) -0.1 (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/27)\/(d*d*((d\/d**(-3\/22)*d)\/d)\/d)*d**(-17)*d**27*d assuming d is positive.\nAnswer: d**(5243\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14153 (base 7) in base 14?\nAnswer: 159a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - k. Let g(n) = -n**2 - 5*n + 2. Suppose -231 = -2*c - 235. Calculate c*q(w) + g(w).\nAnswer: w**2 - 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - 1) + (-2 - (-12 + -3 + 12))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-380)\/600 + (-3)\/(-6) + (-424)\/(-2730)?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*z - 3*h, -26 = -3*z - z + 2*h. Let d be (-4)\/(-6) + 3345\/45. Suppose z*j - d = -j. Solve 0 = -3*q - q + v - 15, j = -3*v for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of 19*i**6\/30 - 13*i**4\/12 - 4*i. Find the third derivative of f(y) wrt y.\nAnswer: 456*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 8:34 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/5 + 21307\/(-67860) and -38\/33?\nAnswer: 11484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3620149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006010302 to seven dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5*n - 433 - 52 = 0, 3*f - 744 = -2*n. Does 20 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -5*p - 17 + 43, r = 2*p. Factor 0 - 1\/2*y**2 - 1\/4*y**5 + 1\/4*y + 1\/2*y**r + 0*y**3.\nAnswer: -y*(y - 1)**3*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4772552914 to the nearest integer?\nAnswer: 1684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -266775.6962 to the nearest ten thousand.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 x when four letters picked without replacement from {x: 6, t: 13}?\nAnswer: 195\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 - 468*l - 18252.\nAnswer: -3*(l + 78)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.82 * 1.92\nAnswer: -1.5744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.30083 - -14.08617. Let t = -0.387 + i. Which is smaller: t or -7\/2?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1000*t**2 + 4*t**3 + 4*t**3 - 10*t**3 + 366*t**2 as z*t**2 + j*t**3 + h + x*t and give z.\nAnswer: -634","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -34*w. Let z(c) = -5*c**2 + 3*c**2 + 20*c**2 - 7*c**2 + 11*c**2. What is x(z(l))?\nAnswer: -748*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 561.\nAnswer: 2805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 8*b**2 + 6*b + 11. Let z be x(-9). Suppose -38 = -2*p + z. Does 11 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -0*h - 56. Suppose -4*p - 3*f = -5*f - h, 2*p - 5*f = 28. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 218534 to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32.886 - -0.114. Is k < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-26)\/(-25))\/2)\/(50 - (-14587)\/(-290)).\nAnswer: -26\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 437*p**2 + 404*p**2 + 17*p**2 - 241*p**2 + 303*p**2 in the form b*p + h*p**2 + t and give h.\nAnswer: 920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 86559275?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m**2 + m. Let u(z) = z**2 + z - 1. Let p(c) = -3*u(c) + y(c). Give p(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -284*m - 3367*m - 6438*m + 1380*m - 3450*m**2 wrt m?\nAnswer: -6900","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 25.06847ml?\nAnswer: 0.02506847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, c: 3, h: 2, o: 10, x: 3}. Give prob of picking 1 c, 2 h, and 1 g.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -263 - 6485?\nAnswer: -6748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -129*(9\/15 - (-404)\/(-690)) and 27\/11.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -27\/16*r**2 - 3\/8*r**3 + 0 - 1\/32*r**4 - 3*r. Factor z(b).\nAnswer: -3*(b + 3)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -16*q**3\/3 - 4540*q**2\/3 + 1908*q + 2280 = 0.\nAnswer: -285, -3\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2*i**4 + 40*i**2 + 2*i**3 - 40*i**2 - 6*i as h*i + q*i**3 + o + x*i**4 + n*i**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3630)*-3 - sqrt(3630)*-1)\/(-4*sqrt(1000)*-2).\nAnswer: -11*sqrt(3)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -13. Let z be 74\/(-9) - 4\/(-18). What is the units digit of (z\/6)\/(g\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-4 + (-1 - 5) + 12 + -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k - 21*l + 17*l - 10, 2*k + l = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 2*o + 23. Let y = -97 - -97. Let j be b(y). What is the second derivative of -9*d + j*d**5 - 13*d**5 + 24*d wrt d?\nAnswer: 200*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7\/5, 5\/22, 0?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 274285805?\nAnswer: 5, 19, 163, 17713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -211, -212, -213, -214?\n\"Answer: -y - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2397, -4735, -7073?\nAnswer: -9411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2 - 3*i + 2 - 7. Let q = -31 - -34. Give z(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23726 or 192.4?\nAnswer: -23726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4\/11 + 38708*y**3\/11 + 21640464*y**2 + 383064070860*y\/11 - 507605807242674\/11.\nAnswer: 2*(y - 833)*(y + 6729)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, 128, 176, 224?\nAnswer: 272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*f = 0, 2*k + 3*f = 8. Suppose -683 + 99 = -k*s. List the prime factors of s.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 827747 and 21170.\nAnswer: 8277470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, k: 1, e: 1, d: 2, c: 2, o: 3}. Give prob of sequence nok.\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 679 - 699. Let j be (-1 - (-328)\/y)*(24 - 29). What is the highest common factor of 6 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -2\/3*r**3 + 15 + 1\/180*r**6 + 0*r**2 + 0*r + 0*r**4 + 1\/120*r**5. Let d(o) be the third derivative of c(o). What is d(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 2*b - 2*b = 252, 4*b + 12 = 0. Let g = s - -71. What are the prime factors of g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/(-9))\/(3 + (-118)\/42). Let a(l) = -3*l + 24. Give a(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 26. Let a = 19 - c. What is the smallest value in 0.1, 0.3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-4) + 2 - -6. Suppose 3*m + a - 76 + 29 = 0, -u = 5*a. Solve -2*l + 27 = -0*l - 5*w, l - 3*w = m for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -195*k**3 - 7*k**2 - k + 3. Let a be c(-9). Suppose 3*q + q + a = 0. Round q to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -8. What is the second smallest value in 20, c, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0537555 + 0.0539. Round j to five decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 311319, 310414, 309499, 308568, 307615?\n\"Answer: -d**3 + d**2 - 901*d + 312220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-two fifths of a meter?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 10*f**4 - 28*f**3 + 24*f**2 + 14*f + 16. Let t(p) = -p - 1. Let j(r) = 2*q(r) + 36*t(r). Factor j(s).\nAnswer: 4*(s - 1)**3*(5*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**6 + 1357*c**5 - 19*c**3 + 50865*c**2.\nAnswer: -120*c**3 + 81420*c**2 - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 0. Let j(o) = -o**3 - 3*o**2 - o - 1. Let v be j(-3). Suppose 0 = v*h + 3*h. Solve -16 = k + 3*k - 2*y, -z*k - 4*y + 6 = h for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40576916 divided by 4.\nAnswer: 10144229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135225 and 91275.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66560 (base 9) to base 16.\nAnswer: aca7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -2395 (c) 1\/2 (d) 4 (e) 40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51 and 9469.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s - 26381 = -298361. What is s rounded to the nearest one thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38142911.\nAnswer: 1163, 32797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 223*o**2 - 1255*o - 26282. Determine u(-228).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -83*k + 1076. Let y be n(7). What is the highest common factor of y and 540?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.02 - -2.98. Which is the closest to -0.2? (a) f (b) 2\/13 (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-2)\/(-51)*(-45)\/30.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 3*k - 4. Suppose 2*m + 51 = -f + m, -3*m + 15 = 0. Let n be f\/(-24) - 4\/(-6). Let b(v) = -v**2 + 2*v + 2. What is n*j(i) + 5*b(i)?\nAnswer: -2*i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 1, -6, -25, -62, -123, -214?\nAnswer: -341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18838?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6169 * -0.0524\nAnswer: -323.2556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dua when three letters picked without replacement from {z: 2, q: 5, u: 3, d: 1, a: 1}?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 36*v + 190. Let u be p(-5). Solve 5*y + 36*w + u = 31*w, 0 = -4*y - 3*w - 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -277*u**3 + 282*u**3 + 9*u - 2*u + 5 + 2*u**2 - u. Let t be q(-3). Which is bigger: -131 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*l - 2*a - 1039, -5*l = -5*a - 2585. Suppose -r - 96 = l. Round r to the nearest ten.\nAnswer: -610","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-324*y + 326*y - 4 - 4)*(-y - 2 + 2) to j + c*y + f*y**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - 0. Let r = 75.43 - 76. Let d = 0.07 + r. What is the closest to -1 in d, j, -0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/l**(5\/9))\/l)\/l*l)\/l**(5\/4))\/((l**7*l)\/l**(-9)) assuming l is positive.\nAnswer: l**(-677\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) -133 (c) 0.02 (d) -2 (e) 3 (f) -292\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 319120918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2401592.\nAnswer: 2, 317, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 5. Let m = 25.032 + -24.996. What is the fourth biggest value in -3, -4\/3, t, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/672 and -10 + (1 - 4 - (-40329)\/3168).\nAnswer: 7392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(-132)*28)\/(3\/(-9))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 5*s**2 - 6*s + 5. Let r be h(4). Let u(n) = -n - 4. Calculate u(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2 + 3*g - g**3 + 4 - 5 - 3*g**2. Let n be h(-4). Solve -n*t - 5 = 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 0. Let v be (8 + -5)\/(8\/15). Let g = v - 47\/8. Which is the smallest value? (a) 2\/7 (b) g (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - -14178\nAnswer: 14177.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 15. Is q less than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 118 = -2*f. Calculate the remainder when f is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 1349 - 3592 = -5*g, 2*g - 5*m = 1950. What are the prime factors of g?\nAnswer: 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -942, -1889, -2846, -3813, -4790, -5777, -6774?\n\"Answer: -5*w**2 - 932*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 22, 2, 116, -5, 0 in ascending order.\nAnswer: -5, -3, 0, 2, 5, 22, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {b: 12, m: 7}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.576574 years in months?\nAnswer: 18.918888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 11*m = -15, 301 = x - 5*m + 304 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 3*v, 976*k + 8 = -4*v + 972*k for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**3 + 20*u**2 - 4*u + 216. Let c be l(0). Solve 24*g - 48 = -c for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -5*p - 2. Let h(l) = -9*l - 3. Let a be -8 + 2 - (-12)\/6. Determine a*h(n) + 7*k(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f - 2. Let g be (-2)\/2*(-2)\/(-4)*6. Calculate w(g).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-13)\/39 - 18296\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 10*n + 5*n)*(-n**2 - n**2 + 3*n**2 + (n - 2*n - n)*(n - 2*n + 2*n)) - n**3 - n**3 + 3*n**3 + (-2 - n + 2)*(-n**2 + n**2 + 2*n**2).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 3. Let f be -7*(9\/3 - a). Let g = f + 10. Solve -3*p - g*h - 10 = -1, 3*p = 2*h + 16 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a + 451 + 263 + 2402 + 179.\nAnswer: 2*a + 3295","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -2\/343055?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 2:47 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 3*k - 4*o, -4*o - 3 = 3*k - o. Solve r + k*r = 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -9, 4, 0.\nAnswer: -9, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 - 4*m**2 + 3*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1435359441 rounded to 4 decimal places?\nAnswer: -0.1435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2092 * 40.5.\nAnswer: 84726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u**3 + u**2 - 3425*u - 10254. What is v(-3)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2*sqrt(245))**2.\nAnswer: -84*sqrt(5) + 989","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -112*x**3 - x**2 + 19*x - 24. What are the prime factors of v(-6)?\nAnswer: 2, 3, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -258, -196, -98, 30, 182, 352, 534, 722?\nAnswer: 910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -206 (base 12) in base 16?\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 54091 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 3\/3926 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9108413, 18216849, 27325271, 36433673, 45542049, 54650393?\nAnswer: 63758699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4102, -2, 35 in decreasing order.\nAnswer: 4102, 35, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1239 is divided by 71.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 1. Let k = 106 + -110. Which is the nearest to -2\/9? (a) 0 (b) j (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5467 times 2313\nAnswer: -12645171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 12*d - 45 - 3*d + 39. Let c = 76 - 74. Let r be l(c). What is the greatest common divisor of r and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36 - 0)*(-20)\/((-19200)\/2640).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 104? (a) 8\/3 (b) -5 (c) 2\/37 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bpj when three letters picked without replacement from {m: 1, a: 4, y: 3, p: 2, b: 2, j: 3}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.01751 rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 43236173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011011011100001100 - 10?\nAnswer: -1011011011100001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6 - 4 - -5 - -159. What is the highest common divisor of 98 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a - 6. Let w be (-41)\/(-5) + (-2)\/10. Let g be f(w). Is 1 >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -955 less than -203354\/213?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(15)\/sqrt(3) + (sqrt(110)\/sqrt(2))\/sqrt(11) - ((4 + sqrt(5) + 1 - sqrt(5)) + 3).\nAnswer: -7 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 249911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 1317 = -3*o - 0*a, 2*o - 2*a = 886. Suppose 3*x - o - 1114 = 0. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 4*b + 7 = 0, 4*o - 3*b - 50 + 26 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2201602 (base 9) to base 13.\nAnswer: -325133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*z + 142 - 1195 = 0 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8324 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 2*c - 2 - 26, 4*c - 56 = 3*p. Let h be p\/42 - 2\/(-3). Let -h*s**3 - 10\/7*s**2 - 16\/7*s - 8\/7 = 0. Calculate s.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29769 + 111*g - 29771 + 334*g to m*g + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 22836.16 to the nearest one hundred.\nAnswer: 22800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of 11\/24*y**4 + 8\/3*y**3 + 0*y + 0 + 10*y**2. What is the first derivative of g(k) wrt k?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1.66 (b) -3 (c) -0.5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255 = -3*j + 1737. What is the second derivative of -664*b**2 - 83*b**4 + 87*b + j*b**2 wrt b?\nAnswer: -996*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 g, and 2 m when four letters picked without replacement from mbmgmmgzpmpwg.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 16 = 0, -4*p + 0*p - 16 = -j. Suppose n + 7*n - 40 = j. Suppose n*h = 3*z - 108, -3*z + 0*h + 4*h = -108. Is 6 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 0.4562 (c) 2394 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 57, 141, 309, 603, 1065, 1737?\n\"Answer: 7*l**3 + 35*l + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 56*x**4 - 5636*x**2 + 2 wrt x.\nAnswer: 1344*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -52419 bigger than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6)\/18 + 106\/3 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 914, 1651, 2038, 1901, 1066, -641, -3394, -7367?\nAnswer: -12734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 10*z + 12. Let c be h(9). Suppose -70 = -c*x - 2*x. Suppose -y + 3*y - x = 0. Does 7 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -196 at most -193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) - 1*sqrt(39)*-5 - -2*sqrt(1404))\/(sqrt(6)\/(3*(sqrt(2)*4 + sqrt(2)))).\nAnswer: 270*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(5\/244) + 2. Let c = w + 2126\/45. Put 1\/2, 1\/8, c in descending order.\nAnswer: 1\/2, c, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -17.7, -1, 4, -5\/4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q**2 - 7*q - 29. Let l(c) = -2*c**2 - 4*c - 15. Determine -3*b(p) + 5*l(p).\nAnswer: -p**2 + p + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1156713793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0851 rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/6*2*12\/1380*897.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*y + 2846 = 54*y - 22*y + 7220 for y.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11020000 a multiple of 426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 29484488 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: Put 1\/4, 32, -0.1, 0.4, 2\/19 in increasing order.\nAnswer: -0.1, 2\/19, 1\/4, 0.4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -5*u - 2479, 5*a + 14*u = 11*u + 3108. Let y be a\/90 + 1\/10. Solve j + k - y = -2*k, 5*k - 9 = j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*j + 21*j = -2. Let d(v) = 156*v**3 + 2*v + 0*v**2 - 78*v**3 - 77*v**3 - 3 + v**j. Let m be d(1). Solve -u + m = -3*o, 6 = 4*o + u - 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26066 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -256*d + 5632. Calculate q(22).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p**2 + 15*p**2 + 3*p**2 - 3*p - 163569.\nAnswer: 10*p**2 - 3*p - 163569","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 888.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -22, -4, 2\/3, -0.12 in decreasing order.\nAnswer: 20, 2\/3, -0.12, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1681877435 to the power of 1\/4, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12987189 and 959?\nAnswer: 90910323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -357*c - 125*c - 381*c in the form y + h*c and give h.\nAnswer: -863","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -11.4 (c) 0.4 (d) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*q = -2*a + 740, -2*a - 444 = -3*q. Let l be (-1)\/(-2)*(-1 - -1). Suppose -c - c + q = l. Does 19 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 784103227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53096.\nAnswer: 2, 6637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -954, -2273, -4840, -9279, -16214, -26269?\n\"Answer: -104*q**3 - 591*q - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 times -5?\nAnswer: -2265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/1292 and -61\/126.\nAnswer: 81396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1699*z + 1609*z + 10530 = 0. Calculate the remainder when 467 is divided by z.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**3 - o + 0*o - 2*o + (-5 - 5 + 15)*(-3*o**2 + 3*o**2 + 3*o**3) + 0*o**3 - o**3 - 2*o**3.\nAnswer: 13*o**3 - 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 0.29 (c) -1\/6 (d) -2 (e) 2\/15 (f) 26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5036*g. Let v be x(-3). Is (-4)\/6 - v\/(-36) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*p = -p - 1683. Suppose -3*v = -36 - p. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-11)*2\/4. Let c = -8\/17 + 73\/119. What is the second smallest value in -2, g, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1807?\nAnswer: 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1262)\/4*-1*4. What is the common denominator of f\/140 - 14\/(-49) and 10*(1 + (-55)\/20 + 1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*m = -10, 4*m - 6*m + 14 = -4*k. Let a(r) = -r**2 - 1 - 8*r + 0 - 6. Determine a(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3480561, -6961120, -10441679, -13922238, -17402797, -20883356?\nAnswer: -24363915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 18*m + 10. Let g(f) = -10*f - 5. What is -5*g(o) - 2*i(o)?\nAnswer: 14*o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 53*l**2 - 10*l + 150. Calculate the remainder when h(3) is divided by 51.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19276 - 11742. What is the thousands digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v - 4*v + 6*v. Suppose -4*z + 38 = -5*d, 3*d + 24 = 3*z - 0*z. What is x(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 5*v + 68, 3*y + v + 74 = -v. Let a = y - -27. What is the remainder when 2 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*l - l - 702. Suppose 5*q - 6 = l. Let s(c) = -c + 4. What is s(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -36 - 86 - 3*g**2 - g**2 - 21*g**4 + 2*g**2 + 41 wrt g.\nAnswer: -84*g**3 - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 70563, 70714, 70865, 71016, 71167?\n\"Answer: 151*b + 70412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72 + -78 - (-4 - 1)) + -9 + 6 + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.3 (b) -27 (c) -0.4 (d) 1.96 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -14. Let n(r) = -1 - 489155*r + 400068*r - 753770*r. Let c be n(g). Round c to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 79 - 41. Factor 5*b**2 + 11 + s*b - 100*b + 9.\nAnswer: 5*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 156125, 311889, 467653, 623417, 779181?\n\"Answer: 155764*t + 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.0537, -0.1, -1\/5, 5?\nAnswer: 0.0537","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/4 + 0. Suppose 4*k - 68 = -z, -4*z = 122*k - 120*k - 20. Which is the second smallest value? (a) k (b) 3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116945 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1642*v + 613*v - 1794*v + 895*v.\nAnswer: 1356*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/57)*l*l\/(l\/l**(-23)*l)*l**5*l*l*l**(-1\/2))**(-39) assuming l is positive.\nAnswer: l**(24479\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 0. Let s(b) = -156*b - 1560. Let o be s(-10). Sort 5, q, -2, o in increasing order.\nAnswer: -2, q, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2021121 (base 3) to base 12.\nAnswer: -b67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3 - 1. Let m be 0\/v*2\/(-4). Suppose 0 = -m*n + 3*n - 150000. What is n rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -72*x + 26. Let s(y) = 1. Let i(n) = -2*s(n) + v(n). Let k be i(-13). Let q = k + -8617\/9. What is the common denominator of -49\/11 and q?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**2 + 5*x - 2. Let r be q(2). Suppose -2*l + 85 + 79 = r. Suppose -4*c + 5*c - 41 = 0. Calculate the highest common factor of l and c.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 205*l + 1907. Calculate the remainder when v(-213) is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -6. Let j be -9*40\/250*(-10)\/4. Let c = j + -182\/45. Sort c, 4\/9, u in ascending order.\nAnswer: c, 4\/9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1133970744 and -34.\nAnswer: 1133970710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -330345, -330339, -330331, -330321, -330309, -330295, -330279?\n\"Answer: i**2 + 3*i - 330349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvuuuokkjjcjv. Give prob of sequence kuok.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/17 + 3020918*l\/17 + 69482172\/17.\nAnswer: -2*(l - 1510482)*(l + 23)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -227154282 divided by -75718094?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 172, 2301, 8048, 19225, 37644?\nAnswer: 65117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 16*g + 10 = 10*g + 8*g, -2*c + 25 = g + 4*g for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppvpppvppppvpvppv. Give prob of sequence vvpv.\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + ((-4)\/5)\/((-2)\/(-10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3020 and 45.\nAnswer: 27180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4 + 2 - 1 - 2*x**3 - 4*x**2 - 2. Let a be i(-4). Suppose -3*f + 4*f = -2*o + 50, -f + a = -o. Does 14 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 969385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 2*x - 11. Let m(z) = z**2 - 5*z - 1. Calculate the lowest common multiple of x and m(6).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 11*o**2 + 3174*o + 6348. Calculate g(-2).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -6. Let d = o - 0. Suppose 3 = -g, -4*a - d*g = a - 68. Is 8 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3955 is divided by 172.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/9 (b) -3 (c) -5 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33303 divided by 3?\nAnswer: 11101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/17? (a) 0.1 (b) 0.04 (c) -2\/7 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y + 64. Let i(x) = 9*x - 192. Give 8*d(b) + 3*i(b).\nAnswer: 3*b - 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g + 2 - 2 = -6*g. Which is smaller: 1\/9893 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 30 = -2*j. Let d be (-5)\/(-5)*-2*(-1 + j). Solve -5 = -5*w + 3*k, 8 = -w - 2*w + d*k for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -f + r, -4*f + 14 = -r - 3. Suppose -3*s - 84 = -5*l, -4*l - 54 = -7*l + f*s. What is the remainder when 27 is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -1a14b?\nAnswer: 1a147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -103 + 0 - -8*(-28)\/32. What is r rounded to the nearest integer?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*k = -38. Suppose 0*a = -a - 2*x + 103, 5*a - 3*x = 502. Let y = 119 - a. Are y and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1268\/30 - (-468)\/(-1755).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 + h**3 - 2*h**3)*(0*h**2 - 3*h**2 + 2*h**2 + (2*h**2 - h**2 - 3*h**2)*(3 + 0 - 4)).\nAnswer: h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -77 divided by 1\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hlhlllhlhll.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 8 = 5*l, -41 = -3*k - 5*l. Let f(a) = a**3 - 15*a**2 - 31*a + 39. What are the prime factors of f(k)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1225 - 1474 - 2*q + 3*q.\nAnswer: q - 249","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 72 = -672. Calculate the least common multiple of (-112)\/(-12)*(-6)\/(-4) and x\/(-14) + 2\/(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12512 and 236555?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -165811\/16740 - -890\/93. Calculate the common denominator of t and -45\/4.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 + 5178*n + 163648.\nAnswer: 2*(n + 32)*(n + 2557)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 10:18 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - (0 + -3)) + 4. Find the second derivative of 4*s**3 + w*s**3 - 4*s - s**3 - 2*s**3 wrt s.\nAnswer: 36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 11:51 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 366*c - 362*c - 2*h - 16 = 0, 7 = 3*c - 4*h. Solve 0 = c*v - 4*v - 5*o - 23, -2*v + 26 = -5*o for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*w + w. Suppose -w*x + 3*x = 3*z - 18817, -3*x - 4*z = 56386. Let q = x + -298. What is q rounded to the nearest one thousand?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7787 divided by 2?\nAnswer: 7787\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 5:54 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, o: 12, p: 6}. What is prob of picking 3 p and 1 b?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19060 - 18790. Calculate the highest common divisor of 4266 and j.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g + 3*g + 9 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6\/12*6\/9*-9\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/1185 and (92\/(-132))\/((-9)\/(-9)).\nAnswer: 13035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*3\/(-6) - 2. Let o(u) = -4*u**3. Let r be o(q). Suppose -6*m + 34 = -r*m. What is the remainder when m is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -432.8 + 433. Which is the closest to -2? (a) t (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -167.6518082008 - 3\nAnswer: -170.6518082008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 8 - 1 = -8 - 17, 2*g = 5*n + 7 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 15*z**4 + 5*z**3 - 10*z**2 - 10*z + 5. Let s(v) = 8*v**4 + 2*v**3 - 5*v**2 - 5*v + 3. Let k(a) = -3*c(a) + 5*s(a). Find h, given that k(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3089307.\nAnswer: 3, 13, 113, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - n + 0 + 178*n**2 - 2*n.\nAnswer: 178*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3736195 is divided by 934039?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -9 (b) 1 (c) -3\/2 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.2 + -0.1. Let n = 2.8 - o. Let j be 8\/(-6) + (-78)\/(-99). Which is the closest to 1? (a) j (b) -3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-39 - 3)*((-6)\/18 + 1). Calculate the common denominator of -91\/18 and ((-1750)\/21)\/(-10)*6\/r.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3 - 4)*(104 - 59 + 754*l - 45) to the form y*l + n and give y.\nAnswer: -1508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-10))\/(4\/(-10)). Let q = -17 - -38. Let f = q - 21.2. Sort f, 5, g in increasing order.\nAnswer: g, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -3*w**2\/2 - 15*w + 316. Give s(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 88 = -0. Let y be 1*-3*(1 - 2). Suppose 1 = y*d - 2*h - 1, 4*h - 6 = d. What is the highest common divisor of d and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 7*o - 3. Let a be -2*3\/12*-6. Let c(r) = 3 + 2*r**3 + 3 - 5*r**2 - r**a - r. Give c(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -386*a**2 + 2298*a - 58. Calculate b(6).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (116\/12*-4)\/(8\/84*14).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*u + 51*u - 41*u as q + h*u and give h.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c**3 - c**2 + 2*c - 7. What is b(2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - 3. Let u = -345 - -347. Let o = -0.019 - 4.981. What is the nearest to u in i, 2\/15, o?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15.7677 - -16.0677. Suppose r + 0 = -2, -3*i + 5*r - 2 = 0. Which is the nearest to 22? (a) i (b) m (c) 0 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2. Suppose -2*s = -a + 4*a - 55, a + s - 20 = 0. Let w(q) = -9 + 26*q + a - 6. Give w(d(t)).\nAnswer: 52*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3 = -33. Is 3 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-2 + 1*sqrt(1300) - sqrt(1300) - sqrt(1300))**2 + -2).\nAnswer: 200*sqrt(13) + 6510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000084 rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/(-169) + (-7840)\/(-41496)?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-85*m + 6599 - 6599)*(-1 + 2 + 1) + 3*m + 0 - 1 - 8*m to the form q*m + a and give q.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 - -34. Let l = w + -0.2. Let j = -3 - l. Put 7, j, 5 in decreasing order.\nAnswer: 7, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -6 (c) 7138017\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 s when two letters picked without replacement from {m: 9, s: 9, a: 1}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 81641 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3876066947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 622 + -165?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1222253 + -120?\nAnswer: -1222413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from fffxfffxfff.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3699245 and 715.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -436*z**3 - 55*z**2 - 1169*z + 11. Let t(v) = -87*v**3 - 10*v**2 - 234*v + 2. Let l(k) = 2*s(k) - 11*t(k). Find the second derivative of l(g) wrt g.\nAnswer: 510*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.102288914 rounded to 5 decimal places?\nAnswer: -0.10229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -94*h - 7 + 24 - 4 - 4 - 8 + 92*h. Let f(x) = 2*x. Let r(t) = -t + 4. Let p be r(7). What is p*z(a) - 4*f(a)?\nAnswer: -2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + z - 105 = 2*i, 2*z = -5*i + 100. Calculate the greatest common divisor of 22 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31199750 to the power of 1\/3, to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**6\/120 + 13*l**5\/5 - 51*l**4\/8 - 155*l**3\/3 - 62*l**2 - 2*l + 18. What is g in p(g) = 0?\nAnswer: -1, 2, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6420824 is divided by 32.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 309229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 3*y**2 - 5*y - 10. Let v be d(6). Let g = -16 + 33. What is the greatest common divisor of v and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 804 + -169. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -13\/15*b**4 - 3*b**2 + 0*b - 67\/75*b**5 - 36\/175*b**7 - 8\/15*b**3 - 9\/280*b**8 - 57\/100*b**6 + 0. Factor w(u).\nAnswer: -2*(u + 1)**2*(3*u + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -524, -2118, -4784, -8528, -13356, -19274, -26288?\n\"Answer: -m**3 - 530*m**2 + 3*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 0 + x + 6 + 0 + x**2. Let h be f(0). Let i be (6\/4)\/(h\/8). Solve -5 = c - i*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 9*x**2 - x - 14. Let j be i(7). Let w = 81 - j. Solve 6*n = 2*n + w for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 50*h - 97. List the prime factors of b(6).\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -371\/4*d**4 - 1\/3*d**3 + 8 + d + 0*d**2. Is y(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6296.973g to kilograms.\nAnswer: 6.296973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -7\/9*q - 1\/9*q**2 + 17\/9*q**3 - 10\/9*q**5 + 2\/9 - 1\/9*q**4 = 0. What is q?\nAnswer: -1, 2\/5, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -6*r**2 - 233*r - 451. Calculate f(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (12\/(-9))\/((-40)\/2133210) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7660, 15276, 22892, 30508?\nAnswer: 38124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-194*z + 77*z - 654*z)*(3 + 1 - 5) + (3 - 2 - 3)*(2 - 2 + 2*z))*((1 + 0 + 1)*(2 + 3 - 6) + 1 - 1 - 1).\nAnswer: -2301*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -219 + 220. Let b = -3\/1264 - -1765\/211088. Which is greater: b or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 42*h**2 - 286*h + 104. What is s(-48)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 372070517 to the nearest integer?\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1650 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*c = -c - 73, 5*h + 5*c = 165. Suppose -h - 18 = -4*m. Solve 0*j - 3*j - g = m, 3*g + 15 = -j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -14. Suppose 12 = -4*a + i*a. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3a5 - -3?\nAnswer: 3a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by -5240.\nAnswer: -13\/5240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f**(2\/5))\/f)**(-35))**(-34) assuming f is positive.\nAnswer: f**1666","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*i + 93587 = -45037. What are the prime factors of i?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is (-989 - 2)\/(1\/(-1)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**7*l*l**(-8))**(-25\/2)\/((l**(-1))**(-13)*(l**(1\/2)*l)\/((l\/l**(-4))\/l*l)) assuming l is positive.\nAnswer: l**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 1:50 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-830)*((-8)\/(-12))\/((-106)\/265).\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1813 is divided by 83?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.307 - 0.093. Let y = 0.4 + -0.3. Let b = -74\/295 + 3\/59. What is the nearest to y in x, b, -0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -8*3\/(-6)*1. Suppose 3 = -p*y - 21. Let k be (3\/y - 0)*-4. Solve k*v - 4 = -q, -2*v + 3*q + 0*q = -12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**3 + 148079*k**2 + 8292*k - 11 wrt k?\nAnswer: -12*k + 296158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105\/4 + 3\/2*k - 3\/4*k**2 = 0. What is k?\nAnswer: -5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(-2 + 2\/6*0). Suppose -f - 4*f - c*x + 780 = 0, 0 = -3*x. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21919489 is divided by 803?\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 0.8, -1132, 2, 0.2?\nAnswer: -1132","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(2\/5)*d)**(-1\/30)\/(d*d**(-1))**(-33))\/(d*d**13*d\/(d**2\/d))**4 assuming d is positive.\nAnswer: d**(-1402\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pzzldlpldplxlp. Give prob of sequence pdx.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-53)\/(-4)*(-16)\/56 and -109\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*g - 8, 0*u = 3*g + 2*u - 10. Calculate the smallest common multiple of 37\/3 - (-2)\/(-6) and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 1357, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 752999.\nAnswer: 13, 57923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-220)*86 + 26\/(-143).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3 + 300*y**2 - 2052*y - 8748.\nAnswer: 4*(y - 9)*(y + 3)*(y + 81)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 0. Let h be (3\/2)\/((-2)\/(-12)). Let i = -13 + h. Do i and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 4*n**2 - 7700*n + 127500.\nAnswer: 4*(n - 25)**2*(n + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 f when four letters picked without replacement from xffzffxxfuuu?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2236402249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 183 and 68869.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 34, 64, 96, 130, 166?\n\"Answer: g**2 + 27*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 860646*c**2 - 2581925*c**2 + 860645*c**2 + 860643*c**2.\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -23081, -22960, -22813, -22628, -22393, -22096, -21725, -21268?\n\"Answer: 2*f**3 + f**2 + 104*f - 23188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30545\/8 + -3818. Which is the closest to 3\/4? (a) t (b) 3\/5 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/(-110) + (-6)\/11*-4. Suppose -5*t + 3*j = -24, w*j - 6 = -3*t - t. Solve -5*g + 2*g = t for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 3 = 5*d. Suppose -5 = -d*x + 10. Suppose 0 = j - 12 - 1. What is the remainder when j is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {z: 2, c: 7}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2788, -5413, -8028, -10627, -13204, -15753, -18268, -20743?\nAnswer: -23172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d + 5*d - 4*d. Let s(t) = 4*t. Calculate s(g(l)).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1274 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 25 = -411. Let u = d + 357. 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 remainder when 8495 is divided by 45?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 530773887.\nAnswer: 3, 7, 101, 251, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -7. What is the third derivative of -3*p**5 - p**2 - 2*p**i - p**2 + p**2 wrt p?\nAnswer: -180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -3 - (-3 + 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -253160*i**2 + 60696*i.\nAnswer: -506320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11557449?\nAnswer: 3, 41, 31321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 4464270, 3 in decreasing order.\nAnswer: 4464270, 3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 3*a = 92, -a = -6*a + 20. Suppose 4*y - 44 = -b. Suppose -y*i + 506 = -2*i + h, -4*i - 4*h + 408 = 0. What are the prime factors of i?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 0*g + 20 = 3*g, -5*g = -25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -3\/5, 17238?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -116\/5 - 2\/5*m**2 + 118\/5*m = 0.\nAnswer: 1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -a**7\/7 + 12*a**5\/5 - 2*a**3\/3 - 15*a - 412. What is the third derivative of p(l) wrt l?\nAnswer: -120*l**3 + 288*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -91125*w**5 - 4568400*w**4 - 87885540*w**3 - 792004058*w**2 - 3170276535*w - 3805442758 = 0.\nAnswer: -13, -527\/45, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 772\/19 - 5\/38. Let j = u + -40. Factor j*n**4 - n**3 + 0*n + 1\/2*n**2 + 0.\nAnswer: n**2*(n - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1837 divided by -436.\nAnswer: -1837\/436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-5 - (-30 - -9)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*x - 584 + 376 = -1748 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/g**(-2\/7)*g**(-4))\/(g*g\/(g*g**(-1)*g)*g*g*g**(-6)) assuming g is positive.\nAnswer: g**(9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 17)*216\/288?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 33223233030 (base 4) to base 11\nAnswer: 2358983","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 156 and 221?\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1756740157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1275069 or 1275068?\nAnswer: 1275068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3 + -5 + (sqrt(190) - (sqrt(190) + (sqrt(190) - (sqrt(190) + sqrt(190) + (sqrt(190) - (sqrt(190) + sqrt(190)*2)))) + sqrt(190)))\/sqrt(10).\nAnswer: -2*sqrt(19) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -58696882*b + 46177606 wrt b?\nAnswer: -58696882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/77)\/(((-350)\/(-10))\/245)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/11 less than or equal to -57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 12 (b) 0.039 (c) -0.3 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 1:11 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1260 is divided by 307?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**4 + 6504*z**3 - 925335*z**2 + 905838*z + 1837680 = 0. Calculate z.\nAnswer: -1, 2, 152, 2015","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/162*9762\/22778?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1092 and 51784044.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11529337 - -184355683\/16. Let x = w - -7103. Find the common denominator of -17\/14 and x.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 12 = 4*z. Suppose 5*t - 22 = 3*g, 2*g - z*t + 23 = 2*t. Solve 3 = f - g for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100010 - 1010?\nAnswer: 101011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, -4, -5, -7, 9, 2 in descending order.\nAnswer: 9, 2, -4, -5, -7, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 265*d**2 - 1126*d - 1128. What is i(-1)?\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 12:18 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37.46 + -37. Let c = -0.06 + w. Round c to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1250 and 19714?\nAnswer: 12321250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 40, 39, 46, 67, 108?\n\"Answer: x**3 - 2*x**2 - 2*x + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 5*a + 12 = 9*a, 3*l = 5*a - 15 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -77, 218, -1, 50 in increasing order.\nAnswer: -77, -3, -1, 50, 218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3310991?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2325 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2814*p = -2805*p - 63 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3389*s = p + 3390*s + 3, -3*s = 4*p + 8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m**3 - 168*m**2 + 219. Let s be c(-56). Solve s*u - 214*u = 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -255 > -254?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 552362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -0.4, -2\/3, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13820000 rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1074229?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3385 or 3383?\nAnswer: 3385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - t - 321 + 1369 = 0, -2*r = 2*t - 700. Does 54 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270494*q = -272073*q - 145268 for q.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 17 - 1. Let k(q) = -q**3 + 6*q**2 + 4*q + 3. Let t be k(a). Suppose -11*r - 96 = -393. What is the highest common factor of t and r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2221 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, 4, -414, -4 in decreasing order.\nAnswer: 7, 4, -1, -4, -414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n = -20*n + 411. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -h - 8, 2661350 - 2661324 = -4*h + 6*a for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(214\/2568*1*7).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11302 + 11303143?\nAnswer: 11241341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.365305956 rounded to four dps?\nAnswer: 0.3653","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*o + 263 - 263 + 19*o - 15*o.\nAnswer: 34*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/7 - 3202*c\/7 - 3204\/7.\nAnswer: 2*(c - 1602)*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/3, 2, 2\/9, -2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 838?\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 3*k**2 - 2*k + 2. Let c be w(-2). Suppose 5*v + 3*f = 13, 2*v - c = -3*f + 5. Solve v*a - 6*a = -16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + -1. Let p(h) be the third derivative of -2 + 1\/8*h**4 + 1\/20*h**5 - 75*h**2 + 0*h + 1\/120*h**6 + 1\/6*h**3. Give p(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2200 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*20\/(-8)*4. Let s = 6 + j. What are the prime factors of s?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*z = 113*z - 11859 + 606 - 822 for z.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 172.8156 - 0.2156. Let j = t - 173. Which is the second smallest value? (a) -4 (b) 2\/11 (c) -4\/5 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1115, -21.78, 1?\nAnswer: -21.78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 297 (b) 0.4 (c) 90 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 7*v**2 + 7*v - 1. Suppose -4*f - 3*k - 47 = 0, 90*f - 88*f - 2*k + 6 = 0. Determine g(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3917, -3911, -3905, -3899?\n\"Answer: 6*o - 3923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11 + -4*(5 - 152\/32). Solve 0 = 3*x + 2*x - c, 4*i - x - 6 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 14*r - 16*r. Let f = 26 + -22. What is the third derivative of 10*q**5 - 30*q**4 + 30*q**f + r*q**2 wrt q?\nAnswer: 600*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 - (-8 + -26) - (9 + 3) - 20?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**4 + 10*p**2 - 10*p**2 + (-1 + 1 - 1)*(2*p**4 - p**4 + p**4) + 32*p**4 + 2*p**4 + 23*p**4 - 25 - 5*p**4 + 25.\nAnswer: 54*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 124*c - 1180. Let h be a(33). What is the greatest common factor of h and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 87*w**3 + 4*w**2 - 96. Let i(o) = -86*o**3 - 6*o**2 + 95. Let c(k) = 2*i(k) + 3*n(k). What is the first derivative of c(h) wrt h?\nAnswer: 267*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.07 (b) 0.1 (c) -23\/228\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*m*r**2*v**2 - 1861*m*r*v**2 + m*r*v + 7*r**2*v**2 wrt r.\nAnswer: -40*m*v**2 + 14*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 749 + -32?\nAnswer: 717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -4, -5, 0, -0.09, -0.0857, 0.5?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 7285 = 2*v, -3638 = 3*v - 4*v + b. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14041 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*m + 180*m. Let p(h) be the first derivative of m*h**3 - 8 + 6*h**2 + 0*h - 7\/4*h**4. What is the second derivative of p(t) wrt t?\nAnswer: -42*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 178*a**2 + 1019*a - 2207. Determine l(-172).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -310 in ascending order.\nAnswer: -310, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218 = 3*k + 704. Let a = k + 331. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -r**6\/120 + 7*r**5\/30 + 17*r**4\/24 - 3*r**3\/2 + r**2. Let t = -2856 - -2871. What is the tens digit of j(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.046 (b) -0.03 (c) 1.8 (d) -651\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 28, 0.4, 5, 6 in descending order.\nAnswer: 28, 9, 6, 5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 294886 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -26, -1, -5 in descending order.\nAnswer: 1, -1, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or -0.035?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 8*o**2 + 7*o + 7. Let l be n(-2). Suppose 23*j + 320 = l*j. Is j a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -n**3\/6 + 3*n**2\/2 + n. Let w be v(3). Suppose w = -2*r - r. Which is greater: -2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -137, -276, -427, -596, -789, -1012, -1271?\nAnswer: -1572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + s + 1. Let z(v) = v**3 + 11*v**2 + 11*v + 9. What is -22*u(n) + 2*z(n)?\nAnswer: 2*n**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 105624 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2627*f - 2649*f = 242 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + 5*m - 15. Suppose 4*v = 2*r - 86, r + 5*v - 71 = -0*r. Suppose -m*y + r = -60. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*x, 0 = -2*x + 3*i + 2*i. Let r = x - -2. What is the remainder when r is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 6*t = 0. Suppose t*c - 5*c = -10. Solve 2*s + 0*s - c = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(90)\/sqrt(3))\/sqrt(6)*-6)**2*4 - (-5 + (sqrt(440)\/(sqrt(44)\/sqrt(4)))\/(sqrt(32)\/(-1*sqrt(4) - sqrt(4) - sqrt(4)))).\nAnswer: -1435 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*a + j + 87, -2*a = -2*j + 26. What is the units digit of (17 + a)\/((-2)\/(-367))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1058 and 10748222?\nAnswer: 1058","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 - 5. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**2 - 170*t + 63*t + 0*t**2 to u*t + y*t**2 + m and give u.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.50572t to grams.\nAnswer: 26505720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14853859 is divided by 212.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 9*p**2 + 19*p - 66. Determine l(7).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 720 and 166260?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 58 - 44 = 0. Let z be (-1)\/(4 + k\/(-8)). Let x = -15 - -28. Solve -1 - x = r - z*c, -4*r + 4*c - 20 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 (base 16) in base 7?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*w + 8. Let q = w + 12. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 10*b + 46 = 0. Let z = b + 29. Suppose -5*l = -2*r - 1 - 3, -2*r - 4*l = -14. Solve -15 = 3*t + 2*o, z*o - o + 15 = -r*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10166 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/3)\/(m*m**(-19)) assuming m is positive.\nAnswer: m**(52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*o = -36*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4225 - -2.4955. What is s rounded to one dp?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 74, 252, 594, 1154?\nAnswer: 1986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of x**4\/66 - 14*x**3\/33 - 32*x**2\/11 + 4*x + 1. Let i(l) = 0. Calculate l.\nAnswer: -2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((-7)\/32) - (-6)\/(-14). Let i be (k\/(-2))\/((-26)\/(-52)). Solve 12 = 3*p, -i*g + 3*p + 3 = -0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 10*l**2 - 6*l + 1. Suppose 0 = 8*q - 3*q - 25. What is the hundreds digit of r(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 947044.6 and 0.3.\nAnswer: 947044.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 275219199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/8 and -47\/65648512.\nAnswer: 65648512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 7.03. Let h = 3.042 + 0.928. Let v = h - n. Put -0.1, 0.5, v in increasing order.\nAnswer: -0.1, 0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217624 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 47?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -142*z**4 + 72*z wrt z.\nAnswer: -1704*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*z - y = -36*z + 122963, -2*z + 49182 = -2*y. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4 = 0, -4*g - 2*q - 15 = -71. Suppose 3*y + 0*w - w - 3 = 0, -4*y + w + 4 = 0. Let z = 0.04 - 0.14. Which is the closest to 0? (a) y (b) z (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-2))\/((-1)\/2). Suppose u*j - 7 = z, -4*z - 5*j + 1 + 5 = 0. Suppose 4*f - 3*a = 14, -2*a + a - 8 = -3*f. Sort f, -2, z in ascending order.\nAnswer: -2, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-153)\/162*699\/(-3961). What is m in -4\/3 - 3\/2*m - g*m**2 = 0?\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 3 = f - 5*f, 0 = -5*f + b + 18 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - (-87)\/(3\/(-1)). Let z be x\/(-91) - 26\/(-7). Solve -v = 4*n + n, 3*v - z*n = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 1 + (26 + 6 - (299 - 181))?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(448) + 1)**2 + 5*(4 + (sqrt(7)*1 + sqrt(7))**2 + sqrt(7)) + 4)*-3.\nAnswer: -1839 - 63*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t + 24. Let r be 4*((-2)\/11 - 81\/99). Let z be r\/(-12)*9 - -3. Let q be u(z). Solve -3 = q*l - 5*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/6, 4\/5, 1\/4, -1, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1*d*(d*d**4*d)\/d)\/(d**(-1\/4))**(3\/23)*d**(-5\/2)\/(d**1\/d)*d*d**(1\/3)*d**6\/d assuming d is positive.\nAnswer: d**(2999\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c + 17 + 28 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5649, -5654, -5659?\nAnswer: -5664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -5. Solve -4*r - 5*j = -3*r + 15, 5*r + k*j + 29 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 4*x - 6. Let r be -5 + -1 - (-51 + 2). Suppose 0 = -r*a + 35*a + 56. Determine g(a).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 1056334063?\nAnswer: 1056334063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.83 + -0.42. What is n rounded to 1 decimal place?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 0.5. Let x = -6.3 + 3.2. Let u = 0.1 + x. Which is the nearest to u? (a) 5 (b) -4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/2*(-2)\/16*-4. Factor 0*q - 1\/8*q**3 + 1\/4*q**2 + x.\nAnswer: -q**2*(q - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 17, 70, 143, 242, 373?\n\"Answer: x**3 + 4*x**2 + 34*x - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44012*s = -45050*s + 69546 for s.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 4)*(i - 55*i - 5*i) + 4*i - 2*i - i.\nAnswer: 119*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56.97 + 0.03. Let q = p + -56.17. Let c = q + -0.295. What is c rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 9 - 107)*(-4 + 4 + 2*p**4) + (4*p**2 - 4*p**2 - p**3)*(3*p - 5*p + 4*p).\nAnswer: -198*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + t - 15 = 0. Let w(r) = 96 + 110 - r**2 - 4*r - 197. Let m be w(t). Sort 1, -1, m, 5 in increasing order.\nAnswer: -1, 1, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*m + 11 = 0, -4*m + 2 + 15 = 5*w. Let r(a) = 2*a - 10. Determine r(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.7840036nm?\nAnswer: 0.00000007840036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (-1 + 4)) + 10?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-168)\/30 - 1) + 6)*-380. What is the highest common divisor of t and 1444?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 8:03 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 110*u**5 + 185*u**2 wrt u?\nAnswer: 6600*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h - 2. Let v = -3 - -20. Suppose 0 = -0*x + x - 2*u - 8, 4*x - 3*u = v. Let t be z(x). Solve -j + 17 = -5*c, -5*c + t*j - 11 = 3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 - 0 - (8 + 37 + -60 + 32).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2220 and 4070.\nAnswer: 24420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -50*d. Let s(c) = -557*c - 13. What is s(h(r))?\nAnswer: 27850*r - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 619797310 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-88)\/(-36) - 0) + -2. Let x = -1\/18 - s. Let v = -6 - -4. Sort v, x, -1\/6.\nAnswer: v, x, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53 or -3695\/71?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1711284724 rounded to the nearest 10000?\nAnswer: -1711280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*p - 12 = 0. Suppose -p*h + g = -13, 0 = -2*h - 3*h - 4*g - 1. Suppose -3*d + h = -c - 2, -d - 17 = -5*c. Solve k - c = -0*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1150 and 874?\nAnswer: 21850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 121?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7044248, -14088491, -21132732, -28176971, -35221208, -42265443?\nAnswer: -49309676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82615 = 43*i - 210000. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -11. Let y(r) = r + 10. Let w be y(-6). Calculate the highest common divisor of w and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5372 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17137 = -3206*m - 62950 - 133200 - 115939 for m.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3827)\/2795 + (-168)\/(-105)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2*p**4 - 672*p**3 + 2030*p**2 - 1356*p = 0?\nAnswer: -339, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 225 - 220. Solve u*v - 14 = -5*o - 4, 3*o - 18 = 3*v for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 17*h**2 - 17*h + 1. Calculate o(16).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -14. Suppose d = m + 2*m - 336. Let h = m + -558\/5. Is -0.3 not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + -15. Is h less than -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3 = -2. Suppose 4*i + 192 = y, -2*y - 3*i + 178 = -y. Let h = 215 - y. Solve h = -4*k - 3*t, -n - 11 = -k + 4*t for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*f + 65545 = 58072 - 114174. List the prime factors of f.\nAnswer: 3, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f*f**(-1\/4))*f*f\/f**(-2\/5)*(f**(-1)\/f)**2 assuming f is positive.\nAnswer: f**(-27\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 5, 10, 15, 20?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25200?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 13\/4 of a kilogram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 4*d + 12, 3*r - 3*d = -2*d + 9. Differentiate -9 - 5*c**3 + r*c**3 + 4*c**3 with respect to c.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 153 divided by -277\nAnswer: -153\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**5*x*x\/(x\/x**19))\/(x*x\/(x*(x\/x**6)\/x)*x*x**(-19)))**48 assuming x is positive.\nAnswer: x**1728","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1872)\/546)\/(((-1)\/4)\/((-35)\/20)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 279 + 254 = w, -v - 21 = w + v for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33.99 - 0.01. Let g = -36 - r. Let q = 0.04 + -0.34. Which is the nearest to 2\/9? (a) q (b) g (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2286\/12*(-82)\/(-24). Let r = m + -652. Let h be (-1)\/(-2) + 5\/(-20)*6. Does r = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.06 (b) 4 (c) 0.3 (d) 57.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -207 + 360. Let l = m - 290. Let k = l + 195. Is 15 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/4 of a meter in millimeters?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/37)\/((t\/(t*t**(-5\/6)))\/t))**38 assuming t is positive.\nAnswer: t**(475\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1808 is divided by 90.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*q - 9 = 186*q, -4*w = 4*q + 8 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 12*o**2 + 10*o + 11. Let m be b(-11). What is the greatest common divisor of 33 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -458458*r**4 - 17*r**3 + 24711*r - 611.\nAnswer: -5501496*r**2 - 102*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sj when two letters picked without replacement from {x: 9, c: 1, j: 1, s: 5, v: 1}?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19 - 6 - 11)*(-33*z**4 + 72*z**4 + 33*z**4) to the form p*z**3 + u + t*z**2 + b*z**4 + n*z and give b.\nAnswer: -2592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + 5*p + 3, 5*g = -5*p + 340 - 375 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r + 1 - 1 + 0 + 4*r + 0 + 5 + r - 5 - 3*r + 0*r + 2*r + (-4 + 2 + 0)*(-2*r - 4 + 4) + 1 - 1 + 2*r + 6*r - 6*r + 4*r.\nAnswer: 13*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t. Let f(s) = -8*s**2 - 5*s + 1. Let g(d) = -f(d) - 4*j(d). Let y be g(1). Suppose -3*v + y = v. Solve v*m + m + 8 = p, 4*m - 4 = 5*p for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b (base 12) to base 15.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268 is divided by 68?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12696 - 15686. Is -2989 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j**2 - 2*j**2 + 2*j**2)*(29481 + 29173 - 59086 + 54*j) to the form t + b*j**3 + v*j**2 + y*j and give b.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0598 + -3.9402. Which is the second smallest value? (a) 0.5 (b) 1 (c) -3 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1829388 divided by 152449\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**5 + 33*p**4 + 96*p**3 + 118*p**2 + 60*p + 9 = 0. What is p?\nAnswer: -3, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18 and 93.9.\nAnswer: 1690.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 410492?\nAnswer: 2, 41, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*q**3 + q**3 + 7*q**3.\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**4*l**2 - b**4*l + 6061*b**3*l + 2*b**2*l**2 - b**2 + 922*b*l + 6*l wrt b?\nAnswer: -24*b*l**2 - 24*b*l + 36366*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(-1 + 0)*-9. Let j(w) = -2*w + 5*w**2 + 14 - 8 + w**3 - q. Does 4 divide j(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000482855 rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2675140 + 132*v - 2675140.\nAnswer: 132*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 10*l**2 - 9824*l + 3928 = 0.\nAnswer: 2\/5, 982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*((q\/(q**0*q))\/q)\/q)\/q*q)\/q**(-19) assuming q is positive.\nAnswer: q**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.7 + 0.2. Let t = 115 + -114.898. Let k = -7.102 + t. What is the biggest value in k, c, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1223601 + -3?\nAnswer: 12235a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 6 - 6, -r = -n + 5. Suppose 0 = 3*h - 2*m - n*m - 38, -5*h - 5*m + 40 = 0. What is the highest common factor of h and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 498, 964, 1490, 2106, 2842, 3728, 4794?\nAnswer: 6070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -623, -617, -609, -599, -587, -573, -557?\n\"Answer: h**2 + 3*h - 627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18138 - 31873. Let d = w + 274627\/20. What is the common denominator of d and 0\/(-2) - (-78)\/8?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/23))**(-8\/13)*(q**(-12))**(-14\/11) assuming q is positive.\nAnswer: q**(50056\/3289)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**3 - 34*z**3 + 5*z**3 + (z**2 - 3*z**2 + 0*z**2)*(2*z + 1 + 3*z - 2*z).\nAnswer: -39*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -1196*z**3 - z**2 + z. Let k be y(1). Let b = k + 4875\/4. Calculate the common denominator of -22\/9 and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*m = -166*m + 117 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffcliiiwiihcfhlfi. Give prob of sequence ll.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**3 - 12*m**2 + 13*m - 12. Suppose -5*g = -11 - 14, 0 = 4*v + 4*g - 40. Let h be p(v). Solve 2*d - 7 = h for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2 + 12*q - 5. Calculate n(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/55*(-30)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/53804 and -37\/18?\nAnswer: 484236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-6) - 77\/(-693)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0071714 rounded to four decimal places?\nAnswer: -0.0072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12\/13 in 5\/4, -5, 114?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 10. Let f = 3 + y. Let z = -0.3 - -0.4. Which is the closest to z? (a) -0.4 (b) f (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2000 + 10?\nAnswer: -1330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*f, 4*f = 2*l - 43 - 9. What is the least common multiple of 30 and l?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (2 + -1 + (1 - -3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2553 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y. Let d(h) = 4*h. Let l(u) = 9*c(u) - 2*d(u). Let r(n) be the third derivative of n**5\/12 - n**4\/24 - 21*n**2 - n + 29. What is l(r(w))?\nAnswer: 5*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2 = -2*d + 3*t, 3*d + 5*t - 11 = 0. Suppose -56 = -d*s + 6. What is the greatest common divisor of 248 and s?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 615491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nzn. What is prob of picking 2 n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 7461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -106 (b) 5795 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*o*w**3 + 7*o + 107*w**4 + 100*w**2 wrt w.\nAnswer: 12*o + 2568*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 10*d + 3 + 1 + 2 + 3*d. What is the remainder when 34 is divided by t(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 358.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001897382125 to seven decimal places.\nAnswer: -0.0001897","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/7 + 38\/(-14). Let m(y) = y**2 + 3*y + 3. Let l be m(r). Solve -3*a - 9 = l for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/10*35\/73444. Are x and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 12) in base 6?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of j**6\/120 - j**5\/12 - j**4\/8 - 2*j**3\/3 - 7*j**2. Let n be h(8). What is the tens digit of n\/(-6)*-1 + 2\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + o - 3 = 0, 4*m - 3*o - 51 = -18. Suppose 3*x + w - m*w - 3151 = 0, 3131 = 3*x - w. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/138, 93, 8?\nAnswer: 1\/138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 899 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 75\/1601 + -464264\/33621. Let k be (-6)\/(-27) - 1367\/(-126). Let v = w - k. Find the common denominator of -43 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 870657.6 and -9.\nAnswer: -7835918.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 60*t + 760*t - 1109*t**3 + 124*t**5 + 1111*t**3 - 50*t wrt t.\nAnswer: 2480*t**3 + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 644*p + 2081. What is the thousands digit of z(21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.9759512 + 21.6236308. Let g = j - 23.6. Round g to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72, -537, -381, 1, -2, 4 in ascending order.\nAnswer: -537, -381, -72, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/30*(0 - -5086). Suppose -5*s - l = -6*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8016194503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 202667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/3 + 0. Let p = 3.571 - 1.571. What is the closest to 1\/5 in o, p, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 5*a + 3*a)*(27726*a + 27726*a - 55452*a + 32887*a**2 + 47002*a**2).\nAnswer: 159778*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*q + 38*q - 16. Solve -q = 2*v - t + 4*t, -5*t = -3*v + 32 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 40)*(-1 + y + 1) - 2*y + y + 0*y + (-2 + 3 - 3)*(-5 - y + 5).\nAnswer: 34*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -4) + 9 + (-43 - 0) + 2.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -318 = 9*m - 471. Calculate the remainder when 31 is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5*m - 157315 = 0, -3*v - 2*m + 46443 + 47971 = 0. Suppose -17*o = -13*o - v. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 9694*r + 2. What is f(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -x**3\/3 - x**2\/2 - 408*x. Suppose -4*d - 3 = 9. What is k(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/4 of a millisecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*z**2 + z**3 + 14*z**2 + (2*z**3 - 2*z**3 - 2*z**3)*(4 - 1 - 1).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**2 - 17*f - 52*f**3 - 43*f**3 + 16*f to the form q + k*f**2 + s*f + g*f**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**2\/5 + 2382*s\/5 - 32956\/5 = 0. Calculate s.\nAnswer: 14, 1177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 111001011011010111000001 (base 2) to base 12\nAnswer: 505bb69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 450 a factor of 426545500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -674.359815 - 0.110185. Let w = 691 + k. Let t = w - 15.7. Round t to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, d: 1, u: 1, g: 2, f: 1, l: 1}. What is prob of picking 1 f and 1 u?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 17*q + 14. Is 14 a factor of f(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k - 2. Let o be 15\/(-10)*88\/12. Let x(j) = j**2 + 13*j + 12. Let q be x(o). Give l(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/6360 and 121\/13224984?\nAnswer: 66124920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k + 4. Calculate the remainder when 30 is divided by r(12).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -7*n + 26*n + n**2 - 13*n. Suppose 0*o - 6 = o. Let b be u(o). Solve b = x - d - 0*d, -x + 5*d = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3049947 to the nearest integer?\nAnswer: 1746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 2:37 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*o - 11 = -0*o, 4*n = -o + 15. Let i = 6 + n. Let q be (-2)\/(-4) - (-16199995)\/i. What is q rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 2*g - 4 - 82, r + 5*g = 55. Let t = -13 + r. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/9987 + 216409\/119844. What is the common denominator of (-273)\/(-378) - 8 - -6 and l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/2244 and 83\/22.\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.248 and -5.\nAnswer: 1.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 0.9 (c) 0.0017 (d) 0.023\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + g + 917, 3*g - 736 = 4*r + 5*g. Let u = r + 201. What is the remainder when 28 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 810 - 809.99999917. Round z to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 15*a**4 + 56*a**3 - 363*a**2 + 575*a - 206. Let n(m) = 8*m**4 + 28*m**3 - 182*m**2 + 290*m - 102. Let r(h) = -11*n(h) + 6*v(h). Factor r(w).\nAnswer: 2*(w - 3)*(w - 1)**2*(w + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27936687 is divided by 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15073 - 100459 = -2033*s for s.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkykkjjyy. Give prob of picking 1 y and 3 k.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16492.99939651 - 16493. Round q to 5 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -309 - 7ac?\nAnswer: -ab7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h**2 + 2*h**2 - 4*h**2)*(-7 - 13 - 11) in the form o*h**2 + q*h + i and give o.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9043 - 9030. Put -3, b, -7 in descending order.\nAnswer: b, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/12*2\/(-43). Let i = d + -439\/258. Let j = 12.6 + -12.7. What is the closest to j in -0.1, i, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6922128374?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 727 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/1 - ((-21)\/(-3) + -8). Factor -5*p**4 + 54*p + 26*p + 80 - 17*p**3 - 3*p**r.\nAnswer: -5*(p - 2)*(p + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*u + 3*u = 119, u = 3*p - 84. Let t = 50 - p. Calculate the remainder when t is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4*5\/210*-3)\/((-102)\/(-4641))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*z + 18 = -7, 4*x = 3*z + 144. Suppose 5*u + u = 18. Calculate the greatest common factor of x and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of 11*l**4\/3 - l**3\/3 + l**2\/2 + 107*l. Calculate c(1).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.7? (a) 0.06 (b) 1 (c) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 16493*j + 214402. What is o(-13)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/20 and 49\/2600?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 15 - 16 - -9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 4*l + 8 = 2*p, 0 = 4*p - 5*l - 28. Let t be 10\/5 + (0 - -1). Factor 2*m**3 - 4*m**3 - 2*m**t + 6*m**p - 2*m.\nAnswer: -2*m*(m - 1)*(2*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7\/21 - (-152)\/84)\/(1\/7). What is the greatest common divisor of 16 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102825 is divided by 246?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhdhhh. What is prob of sequence hdh?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -10*o + 1. Let z be t(5). Let q = -32 - z. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*w = -0 + 37, -w - 34 = -3*d. Suppose d = 3*h + 1, 5 = m - 2*h. What is the remainder when m is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 2*m - 16, -4*m - 44*x = -45*x - 17. Put -1, 42, -5, m in increasing order.\nAnswer: -5, -1, m, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of 10*b**3\/3 + 6*b**2 + 75*b - 31. What is the tens digit of v(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 99754201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-16)*102*2. Let b = 11 + a. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22406 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 6*u**3 - 32*u**2 - 42*u + 63. Give p(-3).\nAnswer: -261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -8*y - 67. Let l be o(-9). Suppose 5*a + 985 = l*x, 787 = 3*x + x - 5*a. Calculate the greatest common divisor of 33 and x.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 1 (b) 0.5 (c) -12.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.5 (b) 5 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, r: 1, e: 3, h: 4, n: 2}. What is prob of sequence nj?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, -2, 5, -1\/4, 4\/33?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -6*j + 22. Let m(a) = -26305*a. Calculate w(m(b)).\nAnswer: 157830*b + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m - 7*f + 304 - 234, -m - 4*f + 27 = 0 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c + 107*c**3 - 214*c**3 + 105*c**3 + 3*c.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4 = -3*t, 2*r + 5*t - 4*t = 2. Let c(g) = 2 - g**r + 2 - 2 - 5*g + 2. Determine c(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 121*w**5\/3 + 22418*w**4\/3 + 353351*w**3 + 655200*w**2 - 1016064*w = 0.\nAnswer: -1008\/11, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50503*y**3 + 25257*y**3 + 25262*y**3.\nAnswer: 16*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 430566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 23.087337 months?\nAnswer: 0.00192394475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -206, 1183, 3452, 6601, 10630, 15539?\n\"Answer: 440*c**2 + 69*c - 715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 1:42 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/4 and 155\/42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -30 or -8403\/284?\nAnswer: -8403\/284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + (-212114)\/(-2) + 139 + -139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17154?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 15.09.\nAnswer: -75.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3168873 is divided by 149?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*x - 7. Suppose -18*z + 17*z + 160 = 0. Suppose -2*r + z = 14*r. Solve -x*w = r + 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**3\/7 - 6361000*o**2\/7 = 0.\nAnswer: 0, 6361000","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gl when two letters picked without replacement from {w: 2, v: 2, p: 1, g: 2, l: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -3136?\nAnswer: 3138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 13*i**2 + 13*i - 11. Let d be v(12). Calculate the least common multiple of 3 and d - 0 - (3 - 7).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 - -a24613?\nAnswer: a24601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18 + (-2)\/4*-4. Let i be 132 - (3 + -1 - 1). Suppose 0 = -8*f + 171 - i. Solve 0 = -b + f*b + a for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-3)*(-12)\/16*1. Let b be 3 - 2 - 3\/6. Factor -o*r**3 - 1\/2 + b*r**2 + 1\/2*r.\nAnswer: -(r - 1)**2*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73856, 295378, 664570, 1181432, 1845964, 2658166?\nAnswer: 3618038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, 2\/9, 3, 2, 180 in decreasing order.\nAnswer: 180, 3, 2, 2\/9, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + w + 3*w)*(-2 - 2*w + 2)*(2 - 2 + w**2 + (-2*w + w + 0*w)*(2*w + w - 4*w) - 4*w**2 + 6*w**2 + 10*w**2).\nAnswer: -56*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i + 200. Determine b(0).\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 48*z**2 - 90*z + 83. What is w(-46)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, d: 3, c: 2}. What is prob of sequence cdd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/5 in 0.2, -6\/11, -2\/513?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -860 + 835.5. What is d rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 13*j**2 - 30*j + 5. Let z be f(15). Let y(w) = -w**3 + 11*w**2. Is 19 a factor of y(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 7 = -u, 0*u = -u + 2*l - 4. Suppose -d - 4*w + 17 = 0, 2*d - u*w - 4 = -0*w. Suppose 2358 = -0*v + 2*v - 5*x, 0 = -3*v - d*x + 3512. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 389380 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -80 + 196. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 21?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 55*q**2 - 35*q + 107. Is z(30) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2 - 10*x - 2. Let a(c) = -3*c + c + 0*c + 3*c. Let q(l) = -6*a(l) - k(l). Factor q(o).\nAnswer: 2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 21.8 and 0.07?\nAnswer: 21.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 6) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 43.645 and -1.\nAnswer: -43.645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m. Let b(k) = 67*k**2. Determine b(t(z)).\nAnswer: 268*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*x*y*z - 169*x*y - 129*x*z - 4*x - 122*z wrt y.\nAnswer: 2*x*z - 169*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 8. Let c = -17509 + 105053\/6. What is the second smallest value in c, -31, m, 1\/6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 324 and 1863.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 + -12. Is 16 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 2 - -2 - (-23 + 26)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5474 and 7248290?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 64 = 4*w - 58, 0 = -y + 5*w + 22 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31899653 is divided by 40.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**2 + 141484*g**3 + 3*g**2 + 145751*g**3.\nAnswer: 287235*g**3 + 6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + o + 44. Let w be (0\/(-2))\/(-4 + 5). Let d be q(w). Calculate the highest common divisor of d and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -25, 3*c + 0*h + 29 = 4*h. Let a be c*7\/(84\/(-16)). Solve 6 + 2*y**2 - 4 - a + 0*y**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2536 (base 11) to base 8\nAnswer: 6352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 5*y**2 + 14*y - 4. Suppose -5*r + 3*a + 11 = 0, 3*r + 5*a = 2*r + 19. Let n be j(r). Calculate the highest common divisor of n and 484.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 8*n. Let y(b) = 11*b + 9*b - 22*b. Suppose -2*s = -4*s - 4. What is s*x(h) - 9*y(h)?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2686\/4 - 1*1\/(-2). Let x = 2149 - o. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -284*j**4 - 4*j**2 + 2521*j?\nAnswer: -3408*j**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 437770.1 centimeters?\nAnswer: 4377.701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -6*n**2 + 53*n + 724. Let o be t(-12). Is o less than -775?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 115434396 and 2646.\nAnswer: 115434396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009814187 to seven dps.\nAnswer: 0.0000098","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**1)\/u)\/(u*u\/(u\/u**2))*u**(3\/2)\/(u\/u**(4\/11)*u) assuming u is positive.\nAnswer: u**(-47\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38799 + -38582. Calculate the remainder when 42313 is divided by q.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 o when three letters picked without replacement from {s: 1, y: 5, j: 1, o: 4, n: 1}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5637888 or 5637887?\nAnswer: 5637888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8674.\nAnswer: 2, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1390932 and 55096362?\nAnswer: 991734516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156 = 35*j - 4*n, -2*j + 69*n = 68*n + 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 166.\nAnswer: 3\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30*q**4*z + 357*q**2*z wrt q.\nAnswer: 720*q*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 0*z**2 + 0*z - 3*z**4 - 188 + 2*z**5 + 1\/3*z**6 + 0*z**3. Solve k(v) = 0 for v.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193529300 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6*1\/4)\/((-6)\/64). Suppose 3*f = -0*t + 2*t - q, 2*t - 2*f - 12 = 0. Solve 1\/3*v**t + 0*v + 0 + 1\/3*v**4 - 2\/3*v**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10489 by 4.\nAnswer: -10489\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + k - 3. Let f be -22*5\/(-30)*k. Solve f = 2*v + 1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.947 - -0.053. Suppose -2*m + 1 = 3. What is the second biggest value in 0, m, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*c + 0*c - 9*c)*(-1 + 3 + 0)*(23*c + 6*c - 8*c).\nAnswer: -84*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 21. What is the first derivative of 17*i**2 - 40 - i**4 - 53*i**2 + d*i**2 wrt i?\nAnswer: -4*i**3 - 38*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 28352?\nAnswer: 85056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58940548 is divided by 75.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21.7, -0.5, 3, -2\/1951 in descending order.\nAnswer: 21.7, 3, -2\/1951, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/p**(-4)*p)\/(p**(-5)*p)*(p**(-1))**50)**30)**(2\/11) assuming p is positive.\nAnswer: p**(-2340\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mkkkkmkkkkkkkkkkkkkk. Give prob of picking 3 k and 1 m.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddddddd. Give prob of picking 3 d.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - d**2 - 4*d - 1. Let q be l(6). Suppose 4*m - 318 = -5*v, 475 = -4*v - 3*m + 729. What is the highest common divisor of q and v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/11 + 16084*l\/11 - 48270\/11.\nAnswer: 2*(l - 3)*(l + 8045)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -202 + 11321013212?\nAnswer: 11321013010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-7)\/((x\/(x*x\/(x\/x**(-3\/4))*x))\/x*x)*(x**(-11)\/x*x)\/(x*x\/(x**(-4\/9)*x*x*x)*x))**(-12\/11) assuming x is positive.\nAnswer: x**(655\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 6*a**2 - a + 7. Let u be y(6). Let p be (-3)\/(u*3\/(-21)). Calculate the highest common factor of 168 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 0*z**2 + 1\/6*z**3 + 3 - 1\/2*z. Factor g(l).\nAnswer: (l - 1)*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -106 - -110 - (16 - 46)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of k**3\/6 - k**2\/2 - 14*k. Let h(z) be the second derivative of -3*z**3\/2 + z**2 + 123*z - 1. Calculate -h(b) - 4*l(b).\nAnswer: 5*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*y**5 - 1211698*y**3 + 15508559*y**2 wrt y.\nAnswer: 360*y**2 - 7270188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4\/5 + -37\/40. What is the second smallest value in 0, s, 1\/5, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 19 = 5*p - 16, 2*f + 1 = -3*p for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g - 3*g + 5*g + (-2*g + 4*g + 0*g)*(1 + 3 + 1) - 2*g - 3*g + 3*g + (0*g + g + 0*g)*(-5 - 1 + 4) - 2*g + 1 - 1 - 1 - 2*g + 1 - 2*g - 4*g + g.\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16463337?\nAnswer: 3, 11, 53, 9413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 4*y - 5*y)*(-3*y**2 + 0*y**2 + 2*y**2) + (0*y**3 + 5*y**3 - 3*y**3)*(0 - 3 + 1).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a milligram in micrograms?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-21 + 0)\/(3 + (-90)\/25). Sort -0.2, b, -12 in descending order.\nAnswer: b, -0.2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 35*k + 157. Let l be t(-7). What is the tens digit of 244\/11 + 7 + 632\/l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5.4 (b) 0.1 (c) 3691\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 2:31 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a + 2 - 2 + (6 - 2 - 3)*(-4 + a + 4) + 2*a + 0*a - 6*a to v*a + j and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (130\/1755*54*(-4)\/(-160))\/((-2)\/(-1460))?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -323\/4 bigger than -80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - r + 1 = 0. Suppose -33 = 9*l + 2*l. Sort r, l, -5 in descending order.\nAnswer: r, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f + 75*f - 18*f = -31*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/2)\/(((-164)\/492)\/((23\/(-3))\/(-1)))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*k**2 - 44*k**2 - 11*k**2 + 3*k**2.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/40 and -39\/3368.\nAnswer: 16840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*t**2 - 12843 + 9*t**2 + 12843.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1240 + -1227. Solve 0 = 4*u - h*u + 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.03999884 - -0.04. Round z to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29.23 - 2.63. Let b = f + -15.3. What is b rounded to zero decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from njpjn. What is prob of sequence pjn?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + h + 2*h - 73 = 0, -4*s = 5*h - 63. Suppose -2*w + 29 = 3*c - 5, c - 20 = -5*w. What is the smallest common multiple of s and c?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(18) - sqrt(36)\/sqrt(2)) + sqrt(18)) - sqrt(18))\/(sqrt(6) - (sqrt(6) - 6*sqrt(54)))*2.\nAnswer: 2*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/2)\/(45\/(-2250)*25)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1382256735.\nAnswer: 3, 5, 397, 232117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -354203322 (base 6) to base 4.\nAnswer: -121111131002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-105))\/((-42)\/70)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-2)*-1)\/((-1)\/(-10)). Suppose 25 + 0 = o*y. Solve 4*q + 5*f = q - 40, 45 = -4*q - y*f for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -104*g*j**3 + 130*j**3 with respect to g.\nAnswer: -104*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 13) to base 4.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13049*d + 2855*d**2 + 651*d**2 + 13049*d to t*d + o + z*d**2 and give z.\nAnswer: 3506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 196 - 168. What is the remainder when 79 is divided by v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -104*s. Let y(j) = -69*j + 2. What is y(q(o))?\nAnswer: 7176*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2144 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**3 - 12*i**2 + 57. Give s(-5).\nAnswer: -493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*t + 18*k = -180*t + 80, -4*k = -4*t - 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24\/32*(-4240)\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 129, 260, 389, 516, 641?\nAnswer: 764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42666680.\nAnswer: 2, 5, 7, 152381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -691807 * -21.\nAnswer: 14527947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1504)\/(-1128)*(-1)\/(-22).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 41 = -c - 3*c, 2*z - 22 = 3*c. Suppose -b = -z*b + 3*y + 499, 5*b + y = 600. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -306*o**2 + 307*o - 1. Let t be w(1). Suppose 4*y - 3*b + 4 = 0, 2*y + 3*b - 20 = -2*y. Suppose 0*s = y*s + 18. Put t, -5, -3, s in descending order.\nAnswer: t, -3, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -223402203?\nAnswer: 223402202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - 5) + 27 - -8. Let a be 2*c\/(-18) - 84707. What is a rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/353752 and -127\/308?\nAnswer: 3891272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-nine fifths of a century?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 565239 is divided by 32.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 5*z + 2*t + 76, 4*t + 71 = -5*z. Let n be -9*(-3)\/z + 2. Let k = -3.49 - 0.51. Which is smaller: k or n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*p + g - 386, -4*g = 8. Is p 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 -2*y**5 - 5008*y**4 - 505*y**3 + 193314063*y**2 wrt y?\nAnswer: -120*y**2 - 120192*y - 3030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 0 + 3)*(2*d - 2 + 2 - d + 5*d - 3*d + (-1 + 0 - 1)*(-3*d + 3*d + d) - 5*d - d + 4*d) to t + c*d and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 41995.53926 to the nearest integer.\nAnswer: 41996","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*11\/220*10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14)\/4 - (-1)\/(-2). Let t be (-124)\/44 + a\/22. Does 2 divide (t\/(-1))\/3 - -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4791, 4801, 4811, 4821, 4831?\nAnswer: 4841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -5.5 (b) 3 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 5*o - 3*o - 4, 3*b - 6 = -3*o for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31236 = 5*f + 4*x - 23456, -4*f - x = -43769. Calculate the highest common factor of f and 171.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 541925 or -5?\nAnswer: 541925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*o - 90, -5*z + 16 = o + 4. Suppose 0 = w - 2 - o. Solve -9 + w = 3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8648252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 303 + -3?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/18 + 5\/(-3) - -16. Which is bigger: h or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**5\/5 + 18*l**4\/5 + 153*l**3\/5 - 348*l**2\/5 + 36*l = 0. Calculate l.\nAnswer: -6, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 + 62998794*d + 330737337121203.\nAnswer: 3*(d + 10499799)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 81?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -67847 and 8847.\nAnswer: -59000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -25.4171037 and -4.39.\nAnswer: -29.8071037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2428172*q**5 + q + 317260 wrt q.\nAnswer: -48563440*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 3*u - 34, -2*m = -0*m - u - 7 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 8 = g. Let r(q) = -q**3 - 4*q**2 + 5*q + 2. Let l be r(-4). Let h be (l - -8)*2\/(-4). Solve 0 = h*m - 1 - g for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 7*j - 3472 = 0. Suppose j = 3*i - 703. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13835083 is divided by 2767008?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 363 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 169.337269 rounded to zero decimal places?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/2)\/(2\/4). Let y(i) = -5*i**2 - 7*i + 2. Let f(n) = -14*n**2 - 20*n + 7. Let p(d) = -4*f(d) + 11*y(d). What is p(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 157*u**2 + 866*u + 62217. What is o(-154)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*k**2*s**2 - 17*k**2*x + 3*k*s**2*x**3 + 2*k*s*x**3 + 3*k*s*x**2 - 13*s**2*x**3 wrt s.\nAnswer: 12*k**2 + 6*k*x**3 - 26*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 5*a**2 - 16. Let g(c) = 4*c**2 - 15. Let k(y) = 4*g(y) - 3*x(y). Let s be k(-4). Solve -3*u - 10 = 5*f, -s*u + 4*f + 55 - 15 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -c**4 + 12*c + 4\/3*c**3 + 10*c**2 - 6. Let a(x) = 0. Calculate x.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15992, 15980, 15950, 15896, 15812, 15692?\nAnswer: 15530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -4*t + 116, -2*t = 3*c - 6*c + 62. Let x be 5\/(12\/(-15) - -1). Let u = x - 12. Calculate the remainder when c is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (9904 - -3)\/(5 - (-58)\/(-12)).\nAnswer: 2, 3, 9907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53 + -16. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 - -35.01. Let b = c - 0.2. Let o = b - -0.19. What is the closest to o in 2, 2\/5, -4\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f*f**3*f))\/(f*f*f*f*f**(-2\/15)))\/((f**(5\/7)\/f)\/(f\/f**7)) assuming f is positive.\nAnswer: f**(-1531\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 135, -5, 0 in increasing order.\nAnswer: -5, 0, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 9*g**2 + 6166*g + 55530. Determine l(-9).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5938, 5928, 5918, 5908?\nAnswer: 5898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 12*c - 5. Let i be s(-12). Let o(j) = 7*j - 4. Let q(y) = 8*y - 5. What is i*q(v) + 6*o(v)?\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1059*v - 1063*v + 2*o + 9890, 4*v - 3*o = 9885. Is 99 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p**(-5\/4)*p)\/p))\/p**(-2\/5)*(p*p**(-2)\/p)**30 assuming p is positive.\nAnswer: p**(-1147\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 k when three letters picked without replacement from {f: 1, k: 3, b: 1, w: 5}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2. Let t(w) = -4*w**2. Let o(x) = 3*i(x) + t(x). Let r(z) = 2*z**2. Let q(a) = 6*o(a) + r(a). Let k(l) = 6*l**2. Calculate q(k(d)).\nAnswer: -144*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/170976 and -73\/1243138.\nAnswer: 59670624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -685 - 1011 = -u. Suppose 5*o = -7*h + 2*h + 1680, 0 = 5*h + o - u. Does 33 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 19 (b) -0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 128*d - 2450. Calculate v(19).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -24\/19 (c) 2 (d) -10\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 135917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -1 (c) 2 (d) 2\/57 (e) -218\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 9, 24, -5 in increasing order.\nAnswer: -5, 3, 9, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -2*g + 2*g**3 + 0*g**2 + 0 - 1\/3*g**4. Solve l(b) = 0 for b.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5\/16017 + -73334721\/10678. Let v = -6884 - d. Find the common denominator of -31\/22 and v.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q - 12*q + q)*(1 - 4 + 6) + (2 + 4*q - 2)*(2 - 1 + 4) to k + n*q and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9073032 to the nearest integer?\nAnswer: 3012","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -384 + 491*i - 202*i + 384.\nAnswer: 289*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + n - 113, r + 3*n = 2*r - 29. Suppose -x + r = 7. Does 5 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3634625 (base 10) to base 12.\nAnswer: -1273455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -5) + -6 - -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, 1\/3, -17\/315?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*y + 7 - 17 = 0, -3*m + 4*y = 9. Let d be 1*(3 - (-1)\/m). Factor 2*l**2 - d*l + 0*l - 13*l**3 + 11*l**3 + 8*l.\nAnswer: -2*l*(l - 2)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(17\/204*-28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m - 6. Let z be u(9). Calculate the greatest common divisor of z and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 84908560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2 = q - 1, n - 5 = -4*q. What is the third derivative of 5*y**2 - 5*y**3 + 5*y**3 - 2*y**3 - 3*y**q wrt y?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2351 + -384a?\nAnswer: -5b9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 21 = y, 0 = y - 0*p + 5*p + 19. Let n(f) = -f**3 - 152*f**2 - 289*f + 1644. Let v be n(-150). Put 4, y, v in decreasing order.\nAnswer: y, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -114, -229, -344?\n\"Answer: -115*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 543675 divided by 75\nAnswer: 7249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1949, 7799, 17549, 31199, 48749, 70199?\nAnswer: 95549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/108 and 55\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 53540.59 nanograms in kilograms?\nAnswer: 0.00000005354059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 39*b**2 - 4. Let o(v) = -v. Calculate m(o(y)).\nAnswer: 39*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 79870*x + 162417.\nAnswer: 79870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137956724.\nAnswer: 2, 34489181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 9*t**2 + 3*t - 26. Let j be o(9). Does 19 divide -19*j*((-35)\/7 - -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 5*x**2 + 2*x + 2. Let t be 8 + (-4 - 1\/1). What is m(t)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1118 is divided by 24?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 3. Let g be c(-5). Let j = g - -1. Let a = 2404\/5 - 481. What is the second biggest value in -2\/3, a, j?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 760 = 5*v, -4*t - v + 805 = 197. Let h be 4*(74*(-2)\/t + 1). Sort h, -4, 1\/2 in ascending order.\nAnswer: -4, h, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 361 - 257. Suppose -6 = -5*l - 1, 0 = -5*n + l + 99. Let q = n - -7. What is the remainder when h is divided by q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 280 = 13*h. Let z be 156\/20 + (-5)\/(-25). Suppose 0*o + z*o - 840 = 0. Calculate the highest common factor of o and h.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 778*v**2. Let x(u) = -229*u. Give x(m(z)).\nAnswer: -178162*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2*(-4)\/8)\/((-2)\/1508). Let a = 1426 - v. Suppose a = 3*q + 5*q. What are the prime factors of q?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - (7 + -30)) + -11?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x + 6. Let z(o) = -3*o + 17. Calculate -17*k(h) + 6*z(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -15 (b) -2 (c) 0.8 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 113545*h**3 + 601*h**2 + 138929340*h wrt h.\nAnswer: 681270*h + 1202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*g + 67 + 66 = 0, -c + g - 54 = 0. Let r = c - -94. What is the remainder when r is divided by (38\/6)\/((-1)\/(-3))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*f = f - 29*f - 120 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**2 + 12*u**2 - 8*u**2 + 72 to the form n + l*u + r*u**2 and give n.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 11 = 4*f, -2*b = -3*f + 8 + 1. Suppose -f*y + 14 + 11 = 0. Solve -5*r = 4*j - 33 - 2, -5*j + 10 = -y*r for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f. Let z be m(-1). Let n(q) = 3*q**3 + 2*q**2 + 4*q + 4. Let v(l) = -4*l**3 - 3*l**2 - 5*l - 5. Give z*v(r) + 3*n(r).\nAnswer: r**3 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1.596409 decades?\nAnswer: 15.96409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -121 (base 5) to base 3\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4 - 6498*m**3 + 13955760*m**2 - 9644648832*m - 562537737216.\nAnswer: (m - 2184)**3*(m + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 6*l**2 + 2*l + 4. Let d = 1 - 0. Let r be 0\/d + 30\/5. Calculate the smallest common multiple of 14 and c(r).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 40*t. Let h(r) = 4*r**2. Let c(v) be the first derivative of 5*v**3 + 51. Let s(d) = -6*c(d) + 22*h(d). What is s(z(b))?\nAnswer: -3200*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-8)\/(-14) - ((-80160)\/17584 - -4)?\nAnswer: -2\/157","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 22*u**2 - 5 - 4*u + 5*u + 0*u**3 - 29*u**2. Let s be j(7). Solve -s + 3 = -m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**2 + 207*b + 161. Let y be i(-68). What is the closest to y in -2\/13, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -2. Let x = -2 + g. Let z = 0.56 + -0.36. What is the nearest to z in 3, -5\/2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 times 91.86?\nAnswer: 2939.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 111*c**3 - 840*c**3 - 135*c**3.\nAnswer: -1086*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 - 4*q - 3. Let j(b) = -237*b**2 - 232*b**2 + 4*b + 463*b**2 + 7*b + 9. Give 6*j(k) + 17*x(k).\nAnswer: -2*k**2 - 2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**3 - 596 + p**3 + p**2 - p + 481 + 0*p to y*p + h*p**3 + f + o*p**2 and give f.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19592.05 and -4.46.\nAnswer: -87380.543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 12514957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1230.749 years in centuries?\nAnswer: 12.30749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -119 in -0.2, 1\/43, 0.01?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 - 83 + 29)*(-5 - 2 + 0)*(4*l - 5*l + 3*l).\nAnswer: 238*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + 22 + (12 - 21) + (-13 - -4).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52479549?\nAnswer: 3, 41, 47407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, k: 3, w: 3, h: 2, u: 1, b: 2}. Give prob of sequence ohwk.\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**3 - 22*p**2 + 22*p**2 + 8*p**3.\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/3*p**3 + 8\/3 - 2\/3*p**5 - 14\/3*p**2 + 0*p + 2*p**4 = 0. Calculate p.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 219*v**3 - 47*v**3 - 80*v**3 + 132*v**3.\nAnswer: 224*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 10*s**2 + 9*s - 7. Let f be m(11). Let q be ((-40)\/54)\/((-148)\/75 - -2). Is q greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -65657, 4 in increasing order.\nAnswer: -65657, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 1\/2*t**2 + 0 + 0*t**3 - t + 5\/12*t**4 - 1\/20*t**5. Give d(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 560660\/158304*48\/2.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s - 32*s - 18*s.\nAnswer: -50*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -13*h**7\/210 + 5*h**3 - 2*h**2 - 17*h. Find the first derivative of p(o) wrt o.\nAnswer: -52*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1969*k - 980*k + 3607 - 990*k.\nAnswer: -k + 3607","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, n: 5}. What is prob of sequence nwn?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 0*h + 0*h**6 - 1 + 0*h**5 + 0*h**4 - 17\/7*h**7 + 7\/3*h**3 + 0*h**2. Find the third derivative of u(s) wrt s.\nAnswer: -2040*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9814.73804 rounded to zero dps?\nAnswer: -9815","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02990577 rounded to four dps?\nAnswer: 0.0299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 62083672 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: What is the thousands digit of 1436526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1*-36)\/1 - 0. Let c be (10 - 162\/(-12))*4. Let t = c + o. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 2*q**7\/105 + q**5\/20 + q**2 - 5. Let d(o) be the second derivative of z(o). What is the third derivative of d(p) wrt p?\nAnswer: 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 126, -3\/7, 8 in increasing order.\nAnswer: -3\/7, 8, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**4\/2 + 3*w**3\/4 - 15*w**2\/2 + 11*w\/4 + 3\/2 = 0. Calculate w.\nAnswer: -2, -3\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 9 = 4*z. Suppose 3*s + y + 16 = 7*s, 0 = -2*s + 3*y + 18. Is s at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/5)\/(4\/(-10)). Suppose 0 = 2*o + j - 0*j - 14, -2*j + 33 = 5*o. Suppose 4*i = 11 - 3. Solve -i*t - 1 = n, t + o = -v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 5*z**3 - 4*z**2 + 2*z. Let c be u(2). Suppose -c = -0*b - 4*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5*d + 1 = -5, -3*d = u + 10. Let x be (-1 + u)*(1 + 1 + -3). Solve x*o = -3*m + 9, -3*m = -0*o + o - 9 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**2 + 537352576*x - 537352574 = 0. Calculate x.\nAnswer: 1, 268676287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0695 plus 0?\nAnswer: -0.0695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 + -13622?\nAnswer: -13632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227816.\nAnswer: 2, 28477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -600426, -600310, -600214, -600144, -600106, -600106, -600150?\nAnswer: -600244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49253.3 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42560)\/(-13110) + (-2)\/(-23))*((-132)\/10)\/2?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 2 = -0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4901699 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -163, -462, -901, -1480, -2199, -3058, -4057?\nAnswer: -5196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 3223122033?\nAnswer: 3223122110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1785112 (base 9) to base 8.\nAnswer: -3643061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 5*v - 20 = 0. Suppose 0 = -5*b, t - 4 + 3 = v*b. What is the remainder when 2 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 195 - 121. What is the remainder when s is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 185 = -192 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 23, 119, 279, 503?\n\"Answer: 32*x**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 21011272, 21011269, 21011264, 21011257, 21011248, 21011237?\n\"Answer: -p**2 + 21011273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x + 5*n - 32, 36*n - 10*n - 98 = x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 11*b**3 + 3*b. Let f(m) = -5*m**3 - m. Let n = -1 - -6. What is n*f(o) + 2*c(o)?\nAnswer: -3*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-6))\/m)**(-12)*((m\/(m**(-2\/35)\/m))\/m)\/m**(-10) assuming m is positive.\nAnswer: m**(-2133\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -61 + (16 + -3 - (62 + -36 - 33)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.7, 8422 in decreasing order.\nAnswer: 8422, 1, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/7 - 514*i + 35880\/7.\nAnswer: (i - 3588)*(i - 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 2*f + 15 = 5*f, n + 5*f = 1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 9 = v, t = -v - 4*v + 17 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-8))\/((-5)\/((-80)\/12))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 300 divide 230516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1436\/6426 + (-6)\/(-102)*-2 and -151\/12.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 0 - 3) + -9 + (-6 - 0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/47)\/x*x)**(25\/3) assuming x is positive.\nAnswer: x**(-50\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14319167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(363) - (-4*sqrt(363)*-2 - sqrt(363)) - -2*(sqrt(363) + -3))**2.\nAnswer: 1584*sqrt(3) + 17532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 + 0.8. Let q(j) = -j**2 - 7*j. Let y be q(-7). Let t = -0.3 + 0.1. Which is the smallest value? (a) g (b) t (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1581)\/(-124) - 3\/4. Suppose -y*g = -19*g - 7. Let n be ((-24)\/(-10))\/(1\/(-5)). Put 4, g, n in increasing order.\nAnswer: n, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 130*y**5 - 55085*y**4 - 2*y**3 - 4*y + 236937?\nAnswer: 2600*y**3 - 661020*y**2 - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence egh when three letters picked without replacement from lwwhywewgweelwehywll.\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -43? (a) -1.3 (b) -13 (c) -2\/3 (d) 62\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*n - 43*n = 990 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000649869162 to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -249*y + 923. Is m(-46) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -434330 - -130331?\nAnswer: -303555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -589*c**5\/60 - c**4\/24 - 11*c**3\/6 - 37*c. Let j(y) be the second derivative of f(y). Is j(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (79*w + 1 - 130*w + 1)*(4*w + 1 - 1)*(2 + 7 - 3)*(-3 + 3 - 3) in the form l*w + p*w**2 + y and give p.\nAnswer: 3672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*r + 15 + 5 = 0, -3*s + 3 = 4*r. Solve s*d - 3*g + 2*g = -11, 2*d + 4*g = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52 and 388?\nAnswer: 5044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 p, and 1 r when four letters picked without replacement from rgrpnrrthrnthp.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20438*d + 68417*d - 47977*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 34280?\nAnswer: 34280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -261861869 and 9.\nAnswer: -261861860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 981, 1954, 2927, 3900, 4873, 5846?\n\"Answer: 973*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/9))**(-2\/5)\/(f*f**(21\/2)*f*f**10*f))**(3\/7) assuming f is positive.\nAnswer: f**(-2123\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 6 - 30*w - 1 + 30*w - 9*w**2. Let b be r(-3). Let h = 127 - b. Is 29 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f - 1. Let p be z(1). Suppose 0 = -p*g + 286 - 46. Suppose -2*a - 3*j = -g, 20 = -5*a + 5*j + 270. Is a a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 - (-33)\/((-990)\/850).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 4*y = -0*y + 1, -7 = l + 5*y for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -1\/2, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 + 362. Suppose 2*j = -5*y + y + m, -2*j - 2*y + 318 = 0. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 76*b*m**2*r + 2*b*m**2 - b*m - 12*b*r + 3*r wrt m.\nAnswer: 152*b*m*r + 4*b*m - b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.9*-0.2.\nAnswer: 2.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -104.3335438975 - -5232342.3334538975. Let y = 5232215 - k. Let w = -23 - y. What is w rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -13.7. Let r = 34290.3 - 34290.7. Sort -5, a, r, -3\/5 in ascending order.\nAnswer: -5, a, -3\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -10. Calculate the remainder when ((-8)\/10)\/(4 - 710\/175) is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 8, -5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 + 13953*n**2 - 69840*n.\nAnswer: 3*n*(n - 5)*(n + 4656)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 16124*z + 0 - 2 - 2*z**2.\nAnswer: -2*z**2 + 16124*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-2)*(32\/(-20))\/(-2)*(-162763)\/8798?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -5*w + 30, -29 = 5*o - 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*p - 441\/4 + 1\/4*p**2 = 0. Calculate p.\nAnswer: -3, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 11*p - 10. Let k be f(1). Let j(n) = 5*n**2 - 3. Let y(o) = -10*o**2 + 7. Let u(b) = 5*j(b) + 2*y(b). What is u(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 8*y = -55. Suppose 3*d + d = 12. Suppose -d*u = y - 38. Does 9 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 0.3, -313.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 15. What is the closest to -1 in -4, g, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3*m - 15 = 0, -5*w - m + 6*m = -45. Find the common denominator of (79\/(-12))\/((-4)\/w) and (-14)\/(-42) - 169\/(-24).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2. Let f(a) = a**3 + 4*a**2 - 2*a - 6. Let r be f(-4). Let t = 31 - 19. What is the smallest common multiple of t and q(r)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 387 - 1303. Let g be ((-6)\/(-4))\/((-2)\/y). Let p = -370 + g. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fr when two letters picked without replacement from fafffffffrffffff?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1121112?\nAnswer: 2, 3, 23, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*q + 156 = 341 - 105 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 43564.39746 to the nearest 10.\nAnswer: 43560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -10*b - 96. Give y(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -14. Let v(s) = 0*s + 2*s + 2 + t + s**2 + 0*s. Calculate the least common multiple of 7 and v(0).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 30817186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -164817 (base 16) to base 8\nAnswer: -5444027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-13)\/(52\/56))\/2)\/3?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 99*n**5\/20 + n**4\/4 - 7*n**3\/6 + 4*n**2 - 5*n. Let r be x(-4). Is ((-4)\/12)\/(4\/r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.59 - 2.79. Put -0.5, j, 1.5, 0.5 in decreasing order.\nAnswer: 1.5, 0.5, j, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/3*10*3. Suppose s = 7*z - 2*z. Find the third derivative of 4*l**6 - z*l**6 - 5*l**2 - 3*l**6 + 2*l**2 wrt l.\nAnswer: -120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 589 is divided by 475?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*z + 31*z = 36. Suppose 4*j + 36 = z*h, 4*h = -3*j + 17 - 9. Solve -4 - h = 3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + c = 4*r + 23, -4 = 2*r. Let g(j) = 7*j**3 - j**2 - j + 1. Let h be g(1). Suppose -m = m - h. Put c, -1, m in decreasing order.\nAnswer: m, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-110)*115*256\/(-129536).\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y\/(y\/(y*y**(1\/2)*y)))**(1\/12)\/(y\/(y*y*y**1*y))**(-37))**(-3\/8) assuming y is positive.\nAnswer: y**(2655\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*n + 73 = 6*v, -79 = -5*v + 2*n. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2698.\nAnswer: 2, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2 - 2*u - 3*u**2 - u + u**3 + u + 4*u**2. Let j be c(-2). Let d = 4.8 - -0.2. What is the biggest value in d, -1, j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61 - -11. Suppose 4*v + p = 7*v. Is 1*8\/(v\/351) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*a - 33*a = -2*k + 1096, -4*a = 9*k - 4844. Calculate the remainder when k is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - ((sqrt(3) + 3 - sqrt(3)) + -1) - (sqrt(192) + -3 - sqrt(192)))**2.\nAnswer: 2*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-9)\/6)\/((-5)\/230).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54451\/660 + -165\/2. Let i(o) be the third derivative of f*o**6 + 0*o + 0*o**3 - 1\/1155*o**7 - 10*o**2 + 1\/330*o**5 + 0 - 1\/132*o**4. Factor i(h).\nAnswer: -2*h*(h - 1)**2*(h + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 850 or 851?\nAnswer: 851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 3. Let r = 253.2 - 249.1538. Let h = r - 0.0462. Put 3\/16, h, w in ascending order.\nAnswer: w, 3\/16, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 - (21 - 3)) + -6 + 22 + -2.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 7980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6746*o - o**2 + 6746*o.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*j = -5*g + 198*j - 40, g + 17 = 4*j for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 19.4707 and 8?\nAnswer: 11.4707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x + 0*x - 4*x + (1 - 3 + 3)*(-19 + 19 - 5*x) + 15*x - 107*x + 17*x in the form p*x + n and give p.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 39, 75, 107, 135?\n\"Answer: -2*z**2 + 42*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -11260.\nAnswer: -1\/11260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u**2 + 4*u - 2. Determine h(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (0\/1)\/(35\/35)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 522*i = 540*i - 1840302. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45615 is divided by 45481.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7571 or 7574?\nAnswer: 7574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.9 or -12?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 73, -5, -2676, 2 in decreasing order.\nAnswer: 73, 2, -5, -2676","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(2\/3)*f)\/f)**(-2\/5)\/(f**(2\/9)\/f*f)**(3\/11))**(1\/34) assuming f is positive.\nAnswer: f**(-9\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 42736, 170942, 384618, 683764, 1068380, 1538466, 2094022?\n\"Answer: 42735*b**2 + b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 16*y**2 + 18*y - 45. Is a(-20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132017142 divided by -602818.\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a + 2. Let f be (12\/14)\/((-6)\/42). Give w(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k - 1. Let p(l) = 4985*l**3 - 3988*l + 3988. Give p(w) + 3988*s(w).\nAnswer: 4985*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.9 + -7.871. What is the closest to w in -4\/7, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuununuunnnunnnunnu. What is prob of picking 2 u and 1 n?\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*b + 2*f = 54*b - 12, -b + 12 = -5*f. Solve -3*u = -u + t - 4, u + b*t = 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 39*w**2 + 4951*w - 254.\nAnswer: (w + 127)*(39*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 9:34 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l + 4. Let d be b(-2). Let j(t) = -t**3 + 13*t**2 - 10*t - 10. What is the units digit of j(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.1, -2\/7, -6\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 5:10 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -12*y + 106. Let g be s(8). Suppose -w + g = h + 5, 0 = -5*w - h + 45. Solve -4*a + w = a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47775415 is divided by 8062?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132 - 41 = -20*i - 189 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i. Let t be h(-3). Let l(f) be the third derivative of -67*f**5\/60 - 7*f**3\/6 - 2*f**2 + 8*f. Let k be l(t). Round k to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10792\/7 - -1542. Which is the closest to n? (a) -1 (b) 3 (c) 5 (d) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.32 greater than or equal to 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.223 + 7.723. What is the closest to 2 in -4, -0.08, -4.6, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5982540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 != -18078718?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 = -n - 2*n. Suppose -n = -5*t + 78. Let k = t + 6. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c. Let u(a) = -5*a - 248. Calculate u(m(s)).\nAnswer: 5*s - 248","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -6. Let t(h) = 5*h + h - i*h. Let j(g) = -97*g - 6. Let p(d) = -16*d - 1. Let s(k) = 5*j(k) - 30*p(k). Determine t(s(a)).\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 3*m + 1 - 22, -5*a - 3*m = 0. Let i(l) = -2*l - 5*l**2 + l**3 + a*l**2 - l + 6. Let o be i(3). Solve 3*b + 0 = -o for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5923953 hours in milliseconds?\nAnswer: 2132623.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - u**2 - 5*u + 4*u + u - u. Let m be (-20)\/8*(-4)\/1. Let o(c) = c**2 - 9*c - 11. Let k be o(m). Give g(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 61 - 4. Suppose 50*h = 47*h - 684. Let j = h - -254. What is the highest common divisor of j and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 145.3 + -31.3. Let c = -119 + r. What is the third biggest value in 5, c, 0.09?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 304690 divided by -10\nAnswer: -30469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5 = 2*p - 10, -2*d = 5*p - 38. Suppose 3*r - w = 5 + p, 4*r + 2*w = 24. Let b = 33 - 20. What is the remainder when b is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 - 2*a**4 - a - 4*a**2 + 123*a**3 - 123*a**3 in the form x*a + s + b*a**4 + j*a**2 + n*a**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12095?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18.104 + -1.8832. Let f = i + 20. Round f to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8*1*14\/(-308)*11. Sort -1, 2, f, -3.\nAnswer: f, -3, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 372*x**3 - 1958948*x**2 - 21064*x = 0. Calculate x.\nAnswer: -1\/93, 0, 5266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 80, -140, -756, -1972, -3992, -7020?\n\"Answer: -34*h**3 + 6*h**2 + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/5 + 642\/30. Suppose m - 2*n = n + r, -4*m + 2*n + 34 = 0. Suppose m*u - 540 = -0*u. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**4\/6 - f**3 - 2*f**2 - 5*f\/3 - 1\/2 = 0. Calculate f.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 18 = 4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -19 - -28) + -28?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00136128338 to 5 dps.\nAnswer: -0.00136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 13 = -4*p + 3*l, 5*p = -5*l. Let f = -100 + 498\/5. Which is the nearest to 1? (a) f (b) p (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54784818 * 4\nAnswer: 219139272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 8.72?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*m**3 + 34*m - 4*m**2 - 4*m**3 - 35*m - 1 in the form q*m + c*m**3 + n*m**2 + j and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 4*t + 2. Let p be f(2). Let m be 1\/3 - p\/3. Suppose 5*d - r - 42 = 0, -r + 6 = -4*r. Calculate the highest common divisor of m and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*j + 3*j - 10*j)*(-2 + 0 + 1 + 2 - 3 + 0 + (1 + 0 - 2)*(1 - 3 + 0) - 5 + 0 + 4) to the form w + s*j and give s.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*z - 95*z - 4*l = -184*z + 14, 4*z - 18*l - 113 = 3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 take away -1140.9?\nAnswer: 1131.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -59659\/2 or -29831?\nAnswer: -59659\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/(-144))\/7*284\/(-213).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 302146707 to the nearest integer?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(784)*-1)\/(2*(sqrt(800)*-1 + sqrt(800) + sqrt(800))).\nAnswer: -21*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i. Let p(m) = 12*m - 3. Determine -p(n) - 2*y(n).\nAnswer: -14*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 2*s + 56. Let n be o(6). Let d be 30\/(-12) - (-4)\/n. Is 0.21 at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 50.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*(t**(7\/9)*t)\/t)\/(t\/(t\/(t*t*t**(9\/5)*t))*t)*t**(3\/2)*t\/(t\/t**8))**(-39) assuming t is positive.\nAnswer: t**(-7579\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(4400)*-2 + -5 + (sqrt(4400) + -1 + sqrt(4400) + 5)*5)*1*-1)**2.\nAnswer: 4480*sqrt(11) + 281796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/8*81\/(-108)?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3882 - 2367. What are the prime factors of r?\nAnswer: 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4799 + -4792. Solve -m*z + 482 = 489 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*b**3*j*s**2 + 6*b**3*j*s + b**3*s**2 + b**2*j*s**2 - 2*b**2*j - 7*b*j*s wrt b.\nAnswer: -36*j*s**2 + 36*j*s + 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*c**2 - 2127*c**3 + 2156*c**3 + c**4 + 130*c**2 in the form w*c**3 + f*c**2 + q + y*c**4 + j*c and give w.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*k - 7 - 17 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 21. What is l(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + 0 - (sqrt(300) - (sqrt(300) + 0 - sqrt(300))))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5468*k + 5329*k = 834 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -1786*a**3 + 2*a**2 - a - 1. What are the prime factors of v(-1)?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 234 divide 37173240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + (-5 + sqrt(98) + -1)**2) + (sqrt(20)\/(sqrt(80)\/(2*sqrt(8))) - 4*sqrt(98)*2)**2.\nAnswer: 336*sqrt(2) + 5292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 624*u. Let j(f) = 142*f**2 - 712. What is v(j(m))?\nAnswer: 88608*m**2 - 444288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -5. Which is the smallest value? (a) -3\/5 (b) q (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.08 + 1.08. Is -5\/4 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -86\/7 - -12. Let u = -20.77 + 21. Let j = 0.23 - u. What is the smallest value in 2, j, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 1\/8666?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 8*f**2 - 4*f - 1. Let y(s) = -17*s**2 + 24*s + 3. Let u(k) = 5*k**2 - 7*k - 1. Let b(t) = 7*u(t) + 2*y(t). What is 4*b(h) - x(h)?\nAnswer: -4*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/558 and 113\/14.\nAnswer: 3906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/2*1*(-8)\/(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 74\/(-4)*119\/57. Let c = k - -64\/57. Calculate the common denominator of 29\/18 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9.77 or 0.344?\nAnswer: -9.77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4)\/((-144)\/20 + 7)*4370\/475.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000328207 to five dps.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-3408)\/(-15904))\/(15\/10 - (4 + -3 + 1))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-142)\/189215*-41 + (-3896)\/(-130)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k - 3. Let v be j(-1). Let m(o) = -6350*o - 7. Is m(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 7*x**2 - 9*x + 5. Let s be m(-5). Let r = -18 - -12. Put -4, s, r in increasing order.\nAnswer: r, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.06 + -0.13. Let t = b + -0.03. Let u = 0.3 - -0.2. What is the smallest value in t, -0.4, u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96 divided by 148886.\nAnswer: -48\/74443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-3 - (0 + 2))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1.4, -425, -0.3, 25, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - (-1)\/1) + 10. Suppose -5*q = -0*q + 2*p - k, -4*q = -2*p + 4. Let s(w) = -w**2 - w. Let o(f) = -4*f**2 - 4*f. What is q*o(u) - 3*s(u)?\nAnswer: -u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k = 22*k + 192. Let l = -59 - k. Let c = -11 + 11. Sort l, -1\/4, c in increasing order.\nAnswer: -1\/4, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-825))\/((-33)\/165)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of 31\/2*f**3 - 141*f**2 + 0*f - 79\/24*f**4 + 0. Differentiate o(g) with respect to g.\nAnswer: -79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**3 + 2*t**2 - 3*t + 1. Let s be d(3). Suppose 24 = -17*a + 20*a. Calculate the greatest common factor of a and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*h**2 + 11*h**2 + 3*h**2)*(-h**3 + 7*h**3 - h**3).\nAnswer: 130*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 14, 178, -10 in ascending order.\nAnswer: -10, -5, 0, 14, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-4)\/(-5)) - (-3)\/(-1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 270120*k**2 - 942107*k?\nAnswer: 540240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 1\/2*b**3 - 3 - 2*b**2 - b. Let j(h) be the first derivative of f(h). What is the first derivative of j(k) wrt k?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 101554390*h**5 + 14784193*h**2?\nAnswer: 6093263400*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from gsscggcsggs.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/2910 and 47\/125?\nAnswer: 72750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - r**2 + r + 2. Let u(d) = 4*d**3 + 24*d**2 + 4*d - 8. Let v(x) = -u(x) - 4*y(x). Factor v(g).\nAnswer: -4*g*(g + 2)*(2*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 910 = 5*l + 669, 4*l = 3*z - 1184. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 10 = 0, -2*f = 2*l + l + 9. What is the second derivative of -3*y + 0*y - 543*y**3 + 421*y**f + 3 wrt y?\nAnswer: -732*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -16*b**2 - 4641*b - 9519. Give g(-288).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 25847851 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -19*r + 70. List the prime factors of v(-10).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4*g + 4*g + 2*g)*(3 + 1 - 2) + 0*g + 2*g + 0*g - 2*g - 3*g + 3*g)*(11*g**3 - 2*g**3 - 11*g**3) to c*g**4 + s + u*g**2 + i*g**3 + f*g and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express p**4 + 1 + 9*p - 3*p**2 + 2*p**2 + 0 in the form u*p**2 + k*p**3 + a*p + c*p**4 + l and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 3*f + 2*w - 8, -5*f - 4*w + 28 = 0. Suppose -5 = -j, 17 = -4*k + f*j - 7. Let d be (-16)\/(-2) + -3 - k. Solve -3*a = d - 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -0.1, 1.1, -0.04?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/2)\/((-6)\/57). Let k = -26 - z. Let y = -3 - k. Solve 2*d = y*u - 4, 0 = 2*d - 4*d + 5*u - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6891 + -6889. What is the third smallest value in -72, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4612569, -4612566, -4612561, -4612554, -4612545, -4612534, -4612521?\nAnswer: -4612506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/5 of a litre in millilitres?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25038 and 12597.\nAnswer: 8087274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s - 4. Let k be 4\/22 - (-3332)\/308. Let f(c) = 6*c - 8. Determine k*q(l) - 6*f(l).\nAnswer: -3*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cfmmffffmxxmxmmxxmf. What is prob of sequence cmmm?\nAnswer: 35\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -11.6, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.8504 and 0.4.\nAnswer: -0.4504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/403 + 425\/4433. Let n = -97 + 97.39. Let o = n - 0.29. Which is the smallest value? (a) y (b) 4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1694 = -6*i - 1658. Suppose -6*u - i*u = -2172. Calculate the remainder when u is divided by 47.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1820571 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.532 less than 119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmobrqlrllmb. Give prob of picking 1 o and 2 q.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -7*x - 10471. Let f(n) = -10*n - 10479. Give 2*f(h) - 3*w(h).\nAnswer: h + 10455","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00302485271 to six dps.\nAnswer: -0.003025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (455 + c - 647 + 425 - 3*c**2)*(2*c + 4*c - 5*c) to the form h*c**2 + v*c + g + n*c**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 32, 43?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7.19 - -26\nAnswer: 33.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(500) - sqrt(20)))\/(sqrt(24)\/(sqrt(6)*1)).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2809785 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 2*g - 27, 158*g - 155*g = 5*z - 43. Let p = -0.5 - -1. Which is the third biggest value? (a) 0.2 (b) -0.7 (c) z (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -146. Let s = 289 + v. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8314800?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/(-288)*8)\/(((-54)\/(-60))\/(-3)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50*k**3 + 92*k - 8 - 84*k + 8 + 289*k**3 to v*k**2 + x + y*k**3 + n*k and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -23, -3\/8, 47, -0.4?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6638010?\nAnswer: 2, 3, 5, 173, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*p - 3*p**3 + 14 - 9*p + 5*p - p**2 as n*p**2 + t + x*p**3 + l*p and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -80 - -156. Is 38 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4080\/661 + -31101737\/5949. Let r(x) = 581*x - 2. Let y be r(9). Let p = n + y. Find the common denominator of 32\/33 and p.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 952*m**2 - 14*m - 1017. Let p(z) = -317*z**2 + 4*z + 338. Let o(t) = 2*k(t) + 7*p(t). Differentiate o(a) with respect to a.\nAnswer: -630*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l - 2. Suppose -3*m + 8 = -4. Suppose -r + m*r - 54 = 0. Calculate the smallest common multiple of r and b(6).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 4:58 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1594 a factor of 15957979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1032545 + 244?\nAnswer: 1033233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.006 - -0.064. Let m = -0.145 + w. Round m to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23\/765840 or 1?\nAnswer: 23\/765840","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 2 = -3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 0 + 3*s**2.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w**2 + 2. Let g(h) = h**3 - 2*h**2 + 2*h. Let x be g(2). Suppose r = -x + 7. Let u(o) = 4*o**2 - 3. Calculate r*b(m) + 2*u(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002968 rounded to 6 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.05, 1, 0.5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*((3 - 9) + ((-924)\/(-63) - 13)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of v**4\/6 - 13*v**3\/6 + 4*v**2 + 2*v. Let p be c(9). Let o = p - 161\/3. Sort -0.2, o, 2\/13 in increasing order.\nAnswer: o, -0.2, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1088)*1 + 0 - (2 + sqrt(1088)*-5)) + 1)**2 + 3)*-1.\nAnswer: -39172 + 96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 290 divide 641008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -13*q. Let m(b) = 3*b. Suppose -18 = -5*r - g, -3*g + 15 = 2*g. Suppose r*s - 3 = 3. Let t(j) = s*i(j) + 9*m(j). Let h(y) = -y**2. Give t(h(n)).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -537002284.39999987 - -537002257.4. Let z = 27 + c. What is z rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z + 6. Let k(u) = 3 + 0 - u - 3. Let p(a) = -5*k(a) - w(a). Calculate the smallest common multiple of 6 and p(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2))**(-7\/3))**(-8) assuming s is positive.\nAnswer: s**(-112\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 183\/7 + -25. Do x and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 852583039 to the nearest integer?\nAnswer: 29199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2250*s. Let b(k) = 7*k. Determine c(b(r)).\nAnswer: -15750*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 10*d = 1, 3*d + 13 = 5*g. Suppose -4*p + 0*p = -w - 6, -g*w = 4*p + 12. Let f(r) = r + 6. Give f(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or 1\/31?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1575)*1*-1 + sqrt(1575))*-4)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 714432, 2857906, 6430362, 11431800, 17862220, 25721622, 35010006?\nAnswer: 45727372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/70*((-32)\/(-18) + -1). Which is the nearest to 2? (a) -3 (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26193500 rounded to the nearest 1000000?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of 0 + 7\/8*a**4 + 4*a**2 + 0*a - 1\/3*a**3. Does 28 divide d(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*c**2*q**2*x**2 - 8*c**2 - 4*c*q**2 - 2*q**2*x**2 - 345*q**2 - 15 wrt c?\nAnswer: -8*c*q**2*x**2 - 16*c - 4*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.19 - 1891400.\nAnswer: -1891400.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -172 - -256. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -341 - -1716. Suppose i = 3*b - 5*t, -b - 8 + 466 = -2*t. List the prime factors of b.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4218 divided by 92.\nAnswer: 2109\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - i + 1. Let x be d(0). Suppose -u - 3 = -x. Put 1, 0, u in descending order.\nAnswer: 1, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -345583971 divided by -183\nAnswer: 1888437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21404\/16201 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z = 4*s + 14*z - 9*z + 40, -4*s + 6*z = 88 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 h, and 1 q when three letters picked without replacement from {h: 2, g: 2, l: 4, q: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 30412 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g + 32*g - 16*g.\nAnswer: 13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10117 - -10120. Put d, 2, 1, 5, -109 in descending order.\nAnswer: 5, d, 2, 1, -109","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79247 is divided by 2556?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**3*t**4 + 12*j**3*t**2 - 3*j**3 - 2*j*t**3 - 246*t**4 - t**2 wrt t?\nAnswer: -24*j**3*t - 12*j - 5904*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 4*b = 23, -109*j + 45*j - 5*b - 202 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.06898 and 9.6.\nAnswer: 9.53102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 408 + -1?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((126\/(-6))\/(-7))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -55 or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - 3\/(-9)*-3. Let x be (-1)\/(g + 455\/115). Let s = -5 + x. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 6 = 16. Suppose 4*i - 4*r + 12 = 0, 4*i - 8*i - 3*r - 33 = 0. Sort o, -3, i in descending order.\nAnswer: -3, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*s = 2252, -8*u + 3*u + 2*s + 5627 = 0. Is u a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -1 + m**2 + 4*m + 2 + 4800*m**3 + 2*m + 4. Suppose 0 = 3*s - 4 + 19. Let i be t(s). What is i rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f*f**(-1\/6))\/f*f)\/((f*f**(-2)*f)\/f)*(f\/(f\/((f*f**(22\/9))\/f)))\/(f\/f**(-2)))**(-2\/31) assuming f is positive.\nAnswer: f**(-59\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.22 rounded to 1 decimal place?\nAnswer: -10.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43144025 to the nearest integer?\nAnswer: 6568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -2*c**6\/15 - 2*c**5 - 12*c**4 - 36*c**3 - 54*c**2 - 98*c. Find t such that f(t) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-7 + 5788\/828)\/((-129)\/18 - -7) and -88\/345?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/848)\/(3081\/49296)?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.9 + -0.9. Let g = 5.094 - 0.094. Sort f, g, 1.6 in descending order.\nAnswer: g, 1.6, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1007 + -663. What is the highest common divisor of p and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 2:28 AM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.44158ml to litres.\nAnswer: 0.06244158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -51.55 * 0.326.\nAnswer: -16.8053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9937 divided by -455.\nAnswer: -9937\/455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52 + -34. Find the second derivative of -14*o - 3*o**4 - s*o - 5*o**4 - o wrt o.\nAnswer: -96*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*f - 105 - 2640 = 0. What is the highest common divisor of f and 420?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k - 240 = -13*k. What is the remainder when k is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 73*j + 3352. What is p(-46)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -239 + 243. Suppose -w*g + 755 = -1861. What are the prime factors of g?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -873855461 take away -131?\nAnswer: -873855330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fourty-six fifths of a micrometer?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (124\/682)\/((-4)\/4).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -10. Suppose -3*k + 34 = 2*k - 2*t, 14 = o*k + 2*t. Does 3 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + v - 0 - 1, 2 = q - v. Suppose q - 61 = -t. Calculate the highest common factor of 510 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**4 + 0*d**4 + 2*d**4 + (-4*d**3 + d**3 + 2*d**3)*(-2 + 2 + 3*d) + (-6*d**3 + 3*d**3 + 2*d**3)*(d - 3*d + 3*d) + (2 - 2 + d)*(2 - 2*d**3 - 2).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.03 + 0.77. Let g = r - 0.7. Let v = g - 0.6. What is the closest to -1 in v, -6, -1\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(44) - (sqrt(2816) + sqrt(2816)*3 + sqrt(2816) + sqrt(2816) - sqrt(2816)))*6)\/(-4*sqrt(64)*1))**2.\nAnswer: 150579\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369483.\nAnswer: 3, 79, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 220589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12*(-4)\/(-42)*7 + -2. Let p(u) be the first derivative of 6*u - 3\/2*u**2 - u**3 + j. Factor p(b).\nAnswer: -3*(b - 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j = 4*j + 6*j - 32032. Calculate the highest common divisor of 1573 and j.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 94.56*4520\nAnswer: 427411.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*a = -61*a - 15. Let o(f) = -19*f + 21*f + 3 + 7*f**2 + f**3 - a*f**2 + f**2. Give o(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -1935*u + 69672. Calculate x(36).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 1 + (2 - 1 - 4)*(-4 + 1 + 5))*(-p**5 + 0*p**5 + 2*p**5 + (-2*p**4 + 5*p**4 - p**4)*(3*p - 3*p - 2*p) + p**5 + 0*p + 0*p).\nAnswer: 16*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.4 times -69?\nAnswer: -5616.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 43\/(-6) - (-2)\/12. Let q(n) = -n**2 - 8*n - 5. Give q(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + l = 63. What is the first derivative of -5 + 3 + 10*q + l wrt q?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p - 27. Let c(k) = 58*k. What is c(w(y))?\nAnswer: 58*y - 1566","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -1) + (0 + -2 - -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 11, -2, -6, -1, 154?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5594 times -38\nAnswer: -212572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 29.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 7*f**2 + 4*f. Let x(l) = -6*l**2 - 3*l. Let t(n) = 3*k(n) + 4*x(n). Let c = 1 + -1. Let i(d) = 6*d**2 + c*d**2 - 3*d**2. Calculate t(i(u)).\nAnswer: -27*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lhj when three letters picked without replacement from {l: 1, j: 1, w: 2, h: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 428717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 13*p**2 - 13*p + 21. What is the units digit of a(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 0 + 21*q - 1\/6*q**3 + 9\/2*q**2. Let m be c(4). Solve 0 = 5*a - 4*p + 8, -4*p = 5*a - m - 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1775114 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxgxggggxgxxxgggx. What is prob of picking 2 g?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (4144\/680 + -6)\/(2527\/285 - 9)\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 14*d**3 + 1570*d**2 + 251*d + 228. Calculate i(-112).\nAnswer: -2796","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4)\/(-1) - (73\/(-5))\/(-1) and (356\/4)\/(30\/2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -54a - -3ac?\nAnswer: -17c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 9 + -19 + 11 + -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 58 + 146. Let i = p + -110. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2424983299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 0 + 5 + y - 6. Let s be n(3). Suppose -2*l = -l + 4*d, -4*l = d. Solve 0 = -s*i - l*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2042007444, 2042007443, 2042007442, 2042007441, 2042007440?\n\"Answer: -t + 2042007445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i - 37050 = -36*i. What is the hundreds digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-501)\/(-3507))\/(2\/8)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 1:09 AM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*w**3 + 0*w**3 - 27*w**2 + 44*w**2 - 13*w**3.\nAnswer: -w**3 + 17*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**4 + 3*j**4 - 2*j**4 + (-3*j - 3*j + 2*j)*(123*j**3 - 66*j**3 - 64*j**3).\nAnswer: 29*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -5*d**2 - 7*d - 9. What is j(-4)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 5658900 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59522*u**4 + 25*u**2 - 1190*u?\nAnswer: -1428528*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 a when two letters picked without replacement from cpbcccbbcxca?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v**2 - 252*v - 6. Let s(d) = -d**2 - 3. Let x(t) = h(t) - 2*s(t). Let n(c) be the first derivative of -c**2\/2 - 1. Calculate x(n(m)).\nAnswer: -m**2 + 252*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*u**5 + 25*u**2 - 25*u**2 + (0 + u**2 + 0)*(-u**3 - u**2 + u**2).\nAnswer: -8*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-53550)\/3400 + (3 - -17 - 4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-75))\/((-3)\/(-15))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1030*c = 1049*c + 19 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, p: 1, l: 1, n: 1, t: 3}. What is prob of sequence ns?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -948128720 to the nearest 1000000.\nAnswer: -948000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4a + 8a99?\nAnswer: 8b05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-seven halves of a minute?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21\/(-12)*(0 + -8). Solve 6*q - 20 = -u for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/96 + 1 + (-5)\/4. Suppose 160 = 5*u - v*u. What is the remainder when 190 is divided by u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133\/(-392) + 15\/24.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/(-2) - (980\/56 - (-8 + 25))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 2*w - 1. Let o(n) be the third derivative of -n**4\/24 - n**3\/6 - 3*n**2. Let p(x) = -i(x) + o(x). Find the second derivative of p(u) wrt u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37885.9 + -37887. What is the smallest value in u, -58\/9, 1\/3, 1\/5?\nAnswer: -58\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-24))**16 assuming x is positive.\nAnswer: x**(-384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.16 + 7.66. Let n be (-1)\/(-11) + (-333)\/396. What is the closest to 0 in 1.4, n, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 368685498?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 132 = -3*d. Suppose -g = 24 - d. Suppose 117 + 23 = 5*q - 5*f, 44 = 2*q + f. What is the remainder when q is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f**(-1\/4)*f*f)\/f*f\/((f\/f**40)\/f))\/(f**(-31))**(-17) assuming f is positive.\nAnswer: f**(-1937\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 366501 < 366547?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19915124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1142, 2288, 3436, 4586?\n\"Answer: s**2 + 1143*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/42 + 19\/7. Suppose 5*g - 32 = -4*f - 6, a*g = -3*f + 15. Let o(c) = 2*c - 4. Calculate the lowest common multiple of o(g) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -15 - 1. Let i be v\/(-2 + 1 + 2). Let u = -6 - -2. Put 3, u, i in increasing order.\nAnswer: u, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 11*y**3 + y**2 + 5*y + 5. Let h(l) = 21*l**3 - 2*l**2 + 6*l + 7. Let n(q) = -h(q) + 2*t(q). Let m = 1 - -3. Let x be (-2)\/m*0 - 2. What is n(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5*-6*(-3)\/(-15). Let s = a - -10. Solve -5*w + 6*w = -3*p - 9, 0 = w - s*p - 5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 2:23 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 8:24 PM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and 2833164.94?\nAnswer: 2833169.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 6*w**2 + 4*w + 1. Let p be u(-5). Let m(g) = g**3 + 13*g - 5. List the prime factors of m(p).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 107927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 731*d + 7*d**3 - 736*d + 9*d**2 - 5*d**2 - 5. Let r(t) = -6*t**3 - 3*t**2 + 4*t + 4. What is -4*l(s) - 5*r(s)?\nAnswer: 2*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 6*u**2 + 5*u + 7. Let c be l(-5). What is the highest common factor of c and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -2 (c) -0.2 (d) -16\/3 (e) -0.176\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2\/2 + 17661*m - 103970307\/2.\nAnswer: -3*(m - 5887)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -67 - -10 - (-3 + -69)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1283 by 130.\nAnswer: 1283\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 264 and 176.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by (-1950)\/(-54) - (-1 + (-20)\/(-18))?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126 and 8365812.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54390 and 7252.\nAnswer: 108780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -56 in 30, -1, 1, -1\/4, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -78 and 2696058.\nAnswer: 2695980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-123)\/(-20664)*-56)\/3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 - 79 = -5*s + z, 4*s = -2*z + 18 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 4. Let h be p(0). Suppose 0 = -r + h + 2. Calculate the remainder when 14 is divided by 52\/r - 2\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4030900 to the nearest 100000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -312, -630, -944, -1254, -1560?\nAnswer: -1862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**5\/4 + 15*f**4\/4 + 155*f**3\/4 + 45*f**2\/4 - 707*f\/2 - 330 = 0.\nAnswer: -5, -4, -1, 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -171? (a) 0.007 (b) -1\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {l: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14 + -1)*6\/(-2). Let p = 96 - u. Let i = -27 + 44. What is the highest common factor of i and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 1. Let o(h) = 2*h + 2. Calculate 3*o(p) - 5*r(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 382 in decreasing order.\nAnswer: 382, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.32372445 rounded to 0 decimal places?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 117397159 to the power of 1\/2, to the nearest integer?\nAnswer: 10835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*c - 26*c - 29*c - 74*c + 7*c.\nAnswer: -149*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*l - 695 = -8*l, 15 = 5*l. Suppose -15*p - w = -19*p. Suppose -9*k + 8*k = -p. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 8 + -5 + 588 - -4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2679*o - 43 + 1342*o + 1336*o)*(-4*o + o + o).\nAnswer: 2*o**2 + 86*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -891*s - 93280. Give w(-105).\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**2 - 2*k - 4. Let p = -19 - -30. Calculate the remainder when z(4) is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -322935, -645865, -968795, -1291725, -1614655, -1937585?\n\"Answer: -322930*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 5*u - u)*(u - u - 3*u**3).\nAnswer: -3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 127*v - 2623. Let b be c(101). Sort -2, -20, b, -5, -4 in ascending order.\nAnswer: -20, -5, -4, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68700 (base 15) in base 13?\nAnswer: b8356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - -7. Does 14 divide m\/(-4)*(-32)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-535)\/(-15) - (-1)\/3. Let u = 48487 - 48442. What is the greatest common factor of k and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/7)*h\/(h*h**3)*(h**(-4\/5)*h)**(3\/25) assuming h is positive.\nAnswer: h**(-2729\/875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*c + 248 = -166 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 4*m = 14046. Let y = -659 + m. Round y to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -352 + 11614\/33. Which is the second smallest value? (a) -3 (b) w (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + n = -12, -5*l + n - 68 = -2. Let x = l - -17. Solve -2*f + 26 = -x*d, -3*f + 31 = -5*d + d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 21*l - 26*l - 3*n, -3*n - 3 = 0. Suppose -b = -2*f + 235, l*f - 2*f + 4*b = 452. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13761 is divided by 766.\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 2*x - 5*z, 6*x - 5*x + 3*z + 9 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7 from -84.6167368.\nAnswer: -77.6167368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 50, 113, 202, 317?\nAnswer: 458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (6\/1)\/(4\/(31\/((-279)\/126)))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -1\/20*r**5 - 23\/6*r**3 - 7\/6*r**4 + r - 1\/2*r**2 + 0. Is a(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(65)*1 + -2*sqrt(65)*1)\/(-4*6*sqrt(20)\/sqrt(4)) + 0 + 0)**2*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one tenth of a second?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b\/b**(-2)))**(-9\/7)*b*b**7*b*b**8*b assuming b is positive.\nAnswer: b**(153\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1152 by -12.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1558086.3569 to the nearest ten thousand.\nAnswer: -1560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*g = 20, -v + 159 = g. Let p = 256 - v. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -223211 + -3?\nAnswer: -223214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j - 18*j = 165 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 + -14. Let d = -14 - -35. Let n be (d\/(-6))\/((-2)\/4). What is the highest common factor of n and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.11, 2\/13, 0.1, 0.5, 4 in decreasing order.\nAnswer: 4, 0.5, 2\/13, 0.11, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3 = -3*s - 3*d, -d = -2. Let b be -4 + (-2 - s - -4). Let f be (-4 + 4)*b\/(-3). Solve f = -2*r + r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 810564 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 6*s**2 + 6*s + 14. Suppose -24 = g - 28. Let a be i(g). Suppose -11 + 107 = 4*m. Calculate the highest common divisor of a and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*j + 15. Let y = 0.3315 - 0.0315. Which is the closest to 0? (a) j (b) 3\/7 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 2*s = 45. Suppose -4*a - 4*i + 7*i = -8, s*i = 4*a. Solve 2*k - a*j - 7 = 0, -2*j = -2*k + j + 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 7:36 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 533038222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fomfofefotoooee. What is prob of picking 1 t and 2 o?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g + 7. Let f(y) = y**3 + y + 40. Let w(b) = -b**3 - b**2 - b - 1. Let i be w(-1). Let u be f(i). Let c be (6\/4)\/(12\/u). Give v(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -l**2\/2 - 7*l + 17. Let d be r(-10). Suppose -d*v = -0*v - 264. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 21*j**2 - 9*j - 29. Does 42 divide n(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -8*u. Let o(k) = 1212*k. Give o(q(h)).\nAnswer: -9696*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/(-18))\/(2\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -5*s. Let g(p) = -4 + 4*p - 2*p + 2*p - 2*p. Let z(m) = 4*m - 9. Suppose 12 = -u + 8. Let y(b) = u*z(b) + 9*g(b). Give x(y(j)).\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/((-2)\/1) + 39?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*v - 2*v. Calculate the common denominator of (-55)\/v - (-7)\/(-28) and 83\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/2)\/((-5235)\/5584) - (484\/6 + -1)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*((-33)\/(-9) + -4). Solve 3*l = 2*q - 4, l - t = -2*q + 5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 6*j = 3. Let o be 7 - (j - 1) - -2. Suppose 3*u - o - 36 = 0. Calculate the smallest common multiple of 24 and u.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.248 - -0.6?\nAnswer: 0.352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 2870*y - 996383. What is k(404)?\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9264 and 7050097.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/36 and -131\/174138?\nAnswer: 1044828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 524 divide 133461228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-49)\/(-21) - 4\/(-6). Suppose x*j - 17 = -4*n, n - 7 = -4*n + j. Find the second derivative of f - n*f**3 - f**4 + 2*f**3 wrt f.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 641552 and 5454?\nAnswer: 17321904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2537 and 19737.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - 0. Let w be m + (15 + -3)\/3. Let i be (3*1)\/((-9)\/(-6)). Solve -i = -w*r + 13 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 2. Let f = 0.03 + -4.53. Let u = j + f. What is the third smallest value in u, 5, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*v - 61 = 158 + 63. Let i(n) = -3*n**2 + 2*n + 1. Let l(g) = -2*g**2 + g. Determine v*i(b) + 5*l(b).\nAnswer: -4*b**2 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-6))\/(4\/(-1788)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 2*t**3 + t**2\/2 - 2*t - 4. List the prime factors of g(-2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 + 3056\/(-64) + -5?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*w**3 + 2 + (0 - w**3 + 0)*(-3 - 4 + 6) - w**3 + 0*w + 0*w - 5*w**3 - 5*w**3 + 0*w**3.\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 72991207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n**3 - 27*n**2 + 16*n + 144. Determine f(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 73*d + 996. Give j(18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1511266 (base 11) to base 14\nAnswer: 4b7018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, 75, 72, 67, 60, 51, 40?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -2\/3*b**3 - 3*b + 0*b**2 + 0. Let s(o) = -o. Give s(z(k)).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -10.98589.\nAnswer: 54.92945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/20 + (-42)\/(-10). Suppose k = -n - 0*n. Let v(y) = 2*y**3 + 5*y**2 + y**3 - 2*y**3 + 2*y - 2. Give v(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 341 + -199. List the prime factors of l.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i**2*n**3*p - i**2*n**3 + 2*i**2*n**2*z**2 + 5*i**2*n + 2*i*n**2*z**2 - 17*n**3*p*z**2 wrt p.\nAnswer: -i**2*n**3 - 17*n**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5516585, 11033149, 16549713?\n\"Answer: 5516564*x + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -10*b**2. Let p(t) = 273008*t**2. Determine x(p(q)).\nAnswer: -745333680640*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -48051*f + 6746. Is g(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40715 - 4066 = -33*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**2 - 7*f**2 - 2 + 4 + (-f + 5*f - 3*f)*(0*f - 3*f + 2*f) + (7*f + 5*f - 7*f)*(-5*f + 4*f + 0*f).\nAnswer: -12*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/9)\/(1\/3). Factor 0*t + 1\/2*t**2 + 0 + 1\/2*t**y + t**3.\nAnswer: t**2*(t + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 10 = 5*j. Suppose 0 = p - j*p. Suppose -4*x - 737780 + 3337780 = p. What is x rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -537615039*l**2. Let h(d) = -4*d. Determine u(h(v)).\nAnswer: -8601840624*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 + 18 + 19 - 12?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, x: 1, o: 4, c: 7}. Give prob of picking 1 m and 2 c.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -33*a**2 - 10 - 27*a**2 + 307*a**2 + a - 11*a + 292*a**2. Is m(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 862. Is u(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 2 - 7*b + 10*b - 6.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 55 + -363016?\nAnswer: -362631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12089 (base 15) to base 14\nAnswer: -16d56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/10 of a microgram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 7 = -2*s. Let x(w) = w**2 + 6*w + 6. Let l be x(-5). Suppose 5*q = -5 - 10, 3*f - 5*q = 15. Put l, s, f in descending order.\nAnswer: s, l, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 + 2*m**2 - 2*m**2 - 2*m**3)*(-17*m - 731 + 731).\nAnswer: 34*m**4 - 51*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 6*x**3 + 51*x**2 + 111*x + 57. Calculate o(-11).\nAnswer: -2979","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 10:24 PM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 0 + sqrt(153) - (-1 + sqrt(153) + sqrt(153) + -1))**2.\nAnswer: -18*sqrt(17) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 23*k**2 - k - 12. Let z be m(-23). Suppose 0 = 3*d + f + 29, -4*d + 7*f = 2*f + 45. Let r = d + z. Which is bigger: r or -2\/17?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-3*sqrt(126))\/sqrt(7)*-4)\/(-2*(sqrt(144)*-2 + sqrt(144))*1).\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12804719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 195 + -193. Suppose 13 = -2*j - v*k + 5*k, -21 = 4*j - 5*k. Which is the third biggest value? (a) -2\/5 (b) -9 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3380 + -3376. Let i(w) = 5*w**3 + 4*w**2 - 14*w - 3. Let l(b) = 11*b**3 + 9*b**2 - 29*b - 6. Give z*l(j) - 9*i(j).\nAnswer: -j**3 + 10*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2 - 19*p + 23. Calculate j(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32989 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(231\/(-44))*-21. Solve -3*k - 3*d = v, -11*k = -13*k - 4*d - 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - o**2 + o + 44. Calculate the remainder when b(0) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a tonne in kilograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -171061.79 rounded to the nearest one thousand?\nAnswer: -171000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 889 - 888.97568. Round j to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-432)\/(-24)*(3 - 5\/2). Solve 0 = 6*m - s*m - 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -31*z - 1. What is the tens digit of k(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/315406504 and -25\/8.\nAnswer: 315406504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 869, 1743, 2619, 3497?\n\"Answer: l**2 + 871*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55 and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 67291590 to the power of 1\/2, to the nearest integer?\nAnswer: 8203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23*h - 556 - 681*h**3 - 169 - 274 - 22*h wrt h.\nAnswer: -2043*h**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37963 to the power of 1\/2, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/1904 and -101\/6426.\nAnswer: 51408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 481021135 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 4*t + 8 = 0. Suppose -4*n + 31 = -3*r, t*n + 11 = -4*r - 1. Let q be (1\/r)\/(2\/(-8)). Are 1 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/sqrt(275) + -3 + -5)*-5*4.\nAnswer: -4*sqrt(5) + 160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*u - 23*c + 19*c, 3*u - 5*c = -4. Let n(i) = 14*i**2 - 3*i**2 + 9*i**2. Suppose -15 = -d - 7. Let t(k) = 7*k**2. What is d*t(x) + u*n(x)?\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from odooodooooo. What is prob of sequence oo?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/1840202 and 47\/6.\nAnswer: 5520606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1760*x**3*z**2 - 23242*x**3 - 6979*x**2*z - 24*x*z**2 wrt x.\nAnswer: 10560*z**2 - 139452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 17*k + 58. Let w be a(13). Suppose -2 = z - f - 5, -2*f = -z. Find the third derivative of -4*y**2 + 0*y**2 + z*y**w + y**5 - y**5 wrt y.\nAnswer: 720*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 19*h**2 - 22*h - 54. What is the least common multiple of 20 and s(-11)?\nAnswer: 5780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -541.5 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k + 16*k + 2*d + 204 = 25*k, -2*d - 2652 = 39*k for k.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*1*sqrt(34))\/(sqrt(2) + sqrt(2) + 5*sqrt(8)))**2.\nAnswer: 425\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**2 - 69*k - 211. Give r(-31).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2691467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 24 = c. Let i = -50 + 46. Let j = i - c. Solve j*h + 20 = 0, 3*t = 5*h - 1 + 17 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/11 (b) -7 (c) 86\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -17*r**2 - 2*r. Let x(z) = 3*z + 9. What is x(y(v))?\nAnswer: -51*v**2 - 6*v + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 - -32. Let q(t) = -t - 8. Let l = 12 + -20. Let a be q(l). Is o greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 6*d**2 - 6. Let j(z) be the third derivative of -z**6\/12 + 11*z**5\/12 - 55*z**3\/6 - 329*z**2. Give -55*b(c) + 6*j(c).\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -9*r - 7366. Let u(k) = -3*k**2. Determine w(u(l)).\nAnswer: 27*l**2 - 7366","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 17845 divided by 1846\nAnswer: 17845\/1846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a millimeter in micrometers?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -463366?\nAnswer: -1853464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 704898199 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**6*z**(2\/5))**17\/((z**(-1\/10)\/((z*z**(2\/13)*z)\/z))\/(z**(-1\/7)*z*(z\/(z**(2\/9)*z))\/z)) assuming z is positive.\nAnswer: z**(898351\/8190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 201528362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -511 - 479.\nAnswer: -990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -96*d**2 - 382*d - 766. Calculate l(-2).\nAnswer: -386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/2? (a) 0.123 (b) 2 (c) -268\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 6 - 16)*((5 - 2 - 10)*(t**4 + 1 - 1) - t + 3*t**4 + t).\nAnswer: 68*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5198 - -5713.6476.\nAnswer: 10911.6476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-2)*66\/528 - 34\/3?\nAnswer: -34\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2899 (base 10) to base 6\nAnswer: 21231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11205 a factor of 3884773500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1043\/13 or -80?\nAnswer: -1043\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 91 = -17*n, -2*n = 180*q - 177*q - 24 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-10 + (14 - 13))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 16 - 1 - 20?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-6) - (-4 + (-136)\/(-12)). Let d(f) = 2*f**3 + 14*f**2 + 2*f + 20. Determine d(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55634 (base 12) to base 4\nAnswer: -123221020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 7*l**2 - l + 10. Let x be u(7). Let r be -10 + (-156)\/(-13) - 7. Which is the closest to -2\/37? (a) r (b) -6 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 3*o**2 - 7*o - 8. What is v(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 2259, -0.4, 31\/2, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5390, -10690, -15904, -21032, -26074, -31030, -35900?\n\"Answer: 43*l**2 - 5429*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.7 + -1.4. Let a = -11 + 22. What is the nearest to 1\/4 in a, h, -2\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 363*w = -167*w + 42*w + 18374 - 53022 for w.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -10. Let n be (l\/3)\/(2\/(-6)). What is the units digit of n*(-2 + -3) + 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -386*s + 27*s**2 + 386*s.\nAnswer: 27*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 2:19 AM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t + 2*t**2 + 28*t**2 - 4*t**2 - 6*t**2 - 3*t**2.\nAnswer: 17*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) -2 (b) -232 (c) -1.876\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -4*g**3 + g. Let u be (-6)\/(-14) + (-24)\/(-42). Calculate n(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*k**2 - 269160*k + 3622355280 = 0. Calculate k.\nAnswer: 26916","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -1. Let p = 7 + l. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120546 and 14867340.\nAnswer: 44602020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 347.96 + -350. Let n = 1.157 + p. Round n to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-870)\/(-27) + 8\/(-36). Suppose -h = h - r. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**2 - 29*f + 27*f - f**2 - 1. Give z(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.1 - -12. Let v = 2.04 - 0.04. Let p = v - j. Which is bigger: p or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g + 12 = -18*g. Let q be (-2 - 1)*(-190 + g). Is q\/(1\/(-5)*-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 3:01 AM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 times 291806?\nAnswer: 15173912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 553, -3244, 3, -5, -2 in descending order.\nAnswer: 553, 3, -2, -5, -3244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 3*q**2 + 3*q - 1\/3*q**3 + 1. Let f be ((-12)\/14)\/((-34)\/238). Calculate l(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8833 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2*u + 945 = 0, f + 2*u = 5*f - 756. Calculate the highest common factor of f and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 37424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 0.2 (b) -17 (c) 1\/3 (d) 2 (e) 7\/3 (f) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 12. Suppose 0 = 3*q - 28 - g. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 137 + 222. Calculate the remainder when y is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6\/11)\/c)\/(c\/c**(-2\/7))*c*c*c**4*c**(-1)*c*c assuming c is positive.\nAnswer: c**(321\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -54? (a) -7 (b) -80 (c) 0.32 (d) -5 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1004845 to the nearest integer?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -119, -11, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1189 - 1186. Let l = -0.08 + 4.08. Let s = 3.9 - 4.3. What is the biggest value in s, v, -0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 121 - 9 = -5*h, -3*p - 4*h + 84 = 0. Suppose 0 = 5*m - 5*v - 1555, 3*m + v - 939 = 6*v. What is the greatest common factor of m and p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 7*q**2 - 4*q + 6. Let o(j) = -j**3 + 9*j**2 - j + 14. Let p be o(9). Suppose -p*f = 10, -t - 2*t + 3*f - 12 = 0. Determine v(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -x**3\/2 + 3*x**2\/4 - 4. What is h in s(h) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 264*b + 480. Let m(d) = d**3 - 13*d**2 + d - 20. Let c be m(13). Let f(z) = -89*z - 160. Let r(y) = c*f(y) - 2*k(y). Differentiate r(p) wrt p.\nAnswer: 95","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 10:08 PM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -75511366*s**4 + 2*s**2*v**3 + 13497257*v**3 + v**2 - 4*v with respect to s.\nAnswer: -302045464*s**3 + 4*s*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17758)\/(-624) - 22)\/((-170)\/136)?\nAnswer: -31\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25088 is divided by 897.\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 3*t + 2. Let o be u(2). Let h = o + 13. Let d be (5 + -7)*h\/4. Is d >= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 6.3?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*l + 3*l - 2*l)*(-2 + 3*l**2 + 2).\nAnswer: -42*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 126130448 to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*d*f**3 + 178*d*f + 38*d wrt f?\nAnswer: -6*d*f**2 + 178*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58 + -21 + 5 + -33?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -19*v**2 + 6*v - 3. Let i(p) = 77*p**2 - 26*p + 13. What is -9*c(w) - 2*i(w)?\nAnswer: 17*w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - w = 1649, -108*w - 1011 = -3*b - 111*w. Let n(s) = -s**2 - 8*s + 9. Calculate the remainder when b is divided by n(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 4 (c) 0 (d) -0.04 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, q: 1, u: 3, g: 3, w: 10}. Give prob of picking 1 u and 2 g.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 62 - -20. Let g = c + -18. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 0.03 (c) -4 (d) -79\/5 (e) -3 (f) -4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/2 + (-1849)\/(-2). Suppose x + 5*o - s = -4*x, -181 = -x - 3*o. Suppose 3*w - 3*d - x = -5*d, 0 = -w - 3*d + 74. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 249600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2063.\nAnswer: 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5*j - 4 = 1, 2*y = -3*j - 3. Let l = -1402 + 1399. Sort -1, y, l, -4 in descending order.\nAnswer: y, -1, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + a = 2*a + 34, -4*y - 17*a = 108 + 308 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 129 + -114. Calculate the greatest common factor of 55 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -274\/6167 or 0?\nAnswer: -274\/6167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-75)\/55*108\/(-945))\/(396\/968).\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -86 + -31?\nAnswer: -b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73074038 divided by 1923001.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 378506.\nAnswer: 2, 189253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 842085, 1684250, 2526415, 3368580?\n\"Answer: 842165*m - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 0, 5*h + 473 = -15*i + 16*i. Calculate the remainder when i is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53.77 + 54. Suppose -2*c + 7 = -3*i - 9, 4*i - 5*c = -33. Which is smaller: v or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1552211226 a multiple of 206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/3))**(-2\/45)\/(k**1*k**(-8)) assuming k is positive.\nAnswer: k**(943\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/207, -5106, 1\/7, -0.4.\nAnswer: -5106, -0.4, -1\/207, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-6 - -8) - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 2:40 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6)*(-39)\/52*10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -291*o + 289. Let w be q(1). Put 3, -1, w, 4, 115 in decreasing order.\nAnswer: 115, 4, 3, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l + 7. Let a(q) = 2*q + 18. Let c(h) = -5*a(h) + 12*j(h). Let o be c(6). What is the units digit of (16\/(-10))\/(o\/(-75))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0070756 to four dps.\nAnswer: -0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 2, 4, 0, -9, 239 in descending order.\nAnswer: 239, 4, 2, 0, -9, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 8*r**2 - 7*r + 4. Let i be q(-7). Let a = i + 2. Calculate the lowest common multiple of a and (-4)\/(-14) - 188\/(-28).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -5*z + 5, 41*t - 39*t - 6 = -4*z for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 + -28. Let m = -30 + u. Let v = m - -14.08. What is v rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 m when two letters picked without replacement from {q: 9, m: 9}.\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/21 (b) -3\/7 (c) 0.01 (d) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -634792 divided by 317396?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y**2 - 18*y + 30. Determine c(-13).\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert b56 (base 12) to base 15.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j. Let i(q) = 9*q - 2. Let y(z) = -21*b(z) + 3*i(z). What is the units digit of y(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**27)**(2\/11) assuming z is positive.\nAnswer: z**(54\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 + 65511*a - 1573992.\nAnswer: 3*(a - 24)*(a + 21861)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g\/(g\/g**(-1\/16))))**29*g**(2\/5)\/g*g*g*(g\/(g\/(g**(4\/3)\/g)))\/g assuming g is positive.\nAnswer: g**(14531\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15042 + -7530. List the prime factors of b.\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2*s - 6*k - 1977, 0 = 4*s + k - 3933. Calculate the highest common factor of s and 615.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2738, 2737, 2736?\nAnswer: 2735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 5:52 AM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (1872\/(-128) - -14)*((-2)\/3 - 8932\/435)\nAnswer: 53\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17582816*b**3*j + 74715219*b**2*j wrt b?\nAnswer: -105496896*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54682 is divided by 2680?\nAnswer: 1082","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Is 5203979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**6\/30 - 3*a**5\/5 + 4*a**4 - 32*a**3\/3 - 15*a**2. Factor l(d).\nAnswer: 4*(d - 4)**2*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1101001110011 (base 2) to base 11\nAnswer: -50a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 19*k + 71. Give c(-10).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1214\/21, -2\/7, 1, 4 in decreasing order.\nAnswer: 1214\/21, 4, 1, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**3 - l**3 - 3*l**3)*(289 - 1443*l - 524 + 234).\nAnswer: 10101*l**4 + 7*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 372 - 146. Let s = i - 2032\/9. Let g = 95\/143 + -9\/11. Which is the nearest to s? (a) 3\/5 (b) 0.1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.332 to 0 dps.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2790971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19046 and 49306.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 - -110.5. Let x = g + -114. Which is the closest to -3? (a) 2\/3 (b) 1\/2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssdt when four letters picked without replacement from {d: 1, f: 3, b: 1, t: 2, s: 4, j: 4}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16157?\nAnswer: 107, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-65)\/(-5) - (21 - 11)) + -1*1. Let k = -4 - -6. Suppose 0*f**k + 1\/2*f**5 + 0*f + 0 + 2*f**4 + l*f**3 = 0. What is f?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 905\nAnswer: -2715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2265 and 70155.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3 + 153 + 31*f + 34*f - 51*f. Let c be h(11). Calculate the greatest common divisor of c and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -75069459.26 to the nearest 10000.\nAnswer: -75070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208304722.\nAnswer: 2, 104152361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/3)*w**(2\/15)*((w*w\/(w\/(((w**(1\/6)*w)\/w)\/w)))\/w)\/w**7)**(2\/103) assuming w is positive.\nAnswer: w**(-221\/1545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/3 (b) -23 (c) 3090\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 6*i - 2*i - 34, 2*i - 152 = 5*j. Let n(v) = -3*v**2 - 2*v. Let m be n(-3). Let w = m - j. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = q + 3*w, -9*w = -7*w - 6. Let g = 117 - 116. Let x(f) = f**2 - 11*f + 3. Let v be x(11). Put g, q, 6, v in descending order.\nAnswer: 6, v, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -172 + 168.92. Let y = 0.08 + c. Let j = 19\/6 + -8\/3. What is the third biggest value in j, -0.4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**2 + 22*x + 3. Give l(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -5 - -12 - (-1 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 60 = 4*p + j, 5*p = j - 56. Find the common denominator of (-1)\/16 - (-18)\/p and -97\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44892 is divided by 110.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1014*q**4 + 666 - 2185*q**4 + 774*q**4 wrt q.\nAnswer: -1588*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 295 and 1121.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 28983058 and -8.\nAnswer: 28983050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -4*n. Let w(b) be the first derivative of -b**2 + 2. Let j(h) = -4*o(h) + 7*w(h). Let d(v) = -5*v**2 + 119 + 9*v**2 - 119 - 6*v**2. Give j(d(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 46 = -19*v + 15*v, 86 = -v - 16*r. Solve -1271*t = -1276*t + v for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -3 (c) 0.23 (d) -13.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 - 5*p**2 - 81591*p + 81591*p.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from fuuuuufuu?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -315 = -15*r - 105. Let j(i) = -i - 7. Let c be j(-13). Suppose 10*h - 9*h = c. What is the remainder when r is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -16. Let b be n\/((0 - 3) + 4). Let u = 4 - b. Solve 0 = -2*x - u*x - 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29040811321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3041454 and 2.\nAnswer: 6082908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-1) + (189 - 187). Solve 27*w + 4*r - b = 22*w, 5*w - 3*r = -27 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 9 + (-132)\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 183*s**5 + 2*s**4 - 14455*s**3 + 57547350*s**2 wrt s.\nAnswer: 10980*s**2 + 48*s - 86730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 101\/161 in 0.1, -5, -5\/22, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 1, 2\/7, -0.3, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 30*n + 12. Let i(c) = -7*c + 9. Let p be i(1). Does 24 divide a(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5013853634?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 4*k = -4. Let o be -1465*k\/((-3)\/12*10). Is o + (3\/3)\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7.9, -1.4, -52, -7 in descending order.\nAnswer: 7.9, -1.4, -7, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/60*(-8)\/((-24)\/27)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, 38, 0.352, -2\/3 in descending order.\nAnswer: 38, 0.352, -1\/7, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -0*q + 25. Suppose q*r = 2*y - 169, 0*y + y + 4*r = 65. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 5*f**3 + 11*f**2 - 4*f + 4. Let v(g) = -11*g**3 - 22*g**2 + 9*g - 9. Let u(p) = -9*d(p) - 4*v(p). Let u(y) = 0. What is y?\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 421 is divided by 149?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56.26 + -0.26. Which is the second smallest value? (a) g (b) 1\/2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 322*l - 967. Let j be b(3). Sort -5, -45, 3, -4, j in increasing order.\nAnswer: -45, -5, -4, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.031721099*1.\nAnswer: -0.031721099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16488323.380631 - 16488330. Let m = z - -6.62. Round m to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 72.3247.\nAnswer: 144.6494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -22*y + 36. Let u(k) = 33*k - 53. Let i(h) = -7*d(h) - 5*u(h). What is the units digit of i(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 12 + 7. Solve -204 + 209 = -u*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -35 and -373?\nAnswer: 13055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -267 greater than or equal to -268?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f - 7*f - 5*f + 9*f in the form d*f + p and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23.9 + 24. Let n = 417 + -412. Let u = -0.12 - 1.88. Which is the closest to f? (a) u (b) n (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-10*4\/(-24)))\/(27\/(-12))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 divided by -103.\nAnswer: -23\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 != -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 724 and 484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2 - 18*r - 19. Let j be i(-8). Suppose -5*p - 15 = -10*p. Let x be (-1)\/j + 5\/p. Which is the nearest to 1? (a) -2 (b) -5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*y - 4. Let x be (-1 + (-20)\/(-16))*y. Which is the third smallest value? (a) -2\/23 (b) -2\/9 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 13*j**5\/60 + 111*j**2 + j. Let q(r) = -r**2. Calculate q(k(y)).\nAnswer: -169*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + -783?\nAnswer: -777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*p**2 - 94*p**2 - 31*p**2)*(-7*p + 5*p + 21 + 0*p).\nAnswer: 200*p**3 - 2100*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**5 - 3*h**5 - 3*h**5 + (-2*h**2 - 2*h**2 + 3*h**2)*(-h**3 + 3*h**3 - h**3) - 2*h**5 + h**5 - h**5.\nAnswer: -8*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 - 33.954. Let z = 0.04 - y. Round z to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 4*x**2 - 5*x - 3. Suppose -4*t + 3*t + 12 = 0. Let k be 2\/t - 298\/(-12). Suppose 2*w + k = -3*w. What is b(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16\/11 + 90\/165 + 1551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 11:40 AM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46826.42m to kilometers.\nAnswer: 46.82642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -11782*v - 83167. What is o(-7)?\nAnswer: -693","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -978, -1007, -1026, -1035?\nAnswer: -1034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (21 - 14)*(2 - 0). Let g be (2 - (-15)\/(-10))*j. Calculate the highest common divisor of g and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/19134 and 3\/10.\nAnswer: 95670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1989192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 28178625 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -c + 4, -2*c - 2*w + 7 = -1. Put c, 1, 3\/7, -2\/13 in decreasing order.\nAnswer: c, 1, 3\/7, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1527320 rounded to the nearest 1000?\nAnswer: -1527000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*g + 9*g + 4. Let n be g\/(-2) + (-370)\/(-20). Let u = 5.9 + -0.9. Which is the third smallest value? (a) n (b) 2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 840, 866, 908, 966, 1040, 1130?\nAnswer: 1236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -54793, -109582, -164373, -219166?\n\"Answer: -n**2 - 54786*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 8:34 AM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1981248 to the power of 1\/2, to the nearest integer?\nAnswer: 1408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.16 + -0.2. Let r = g - 0.06. Suppose -21 = 5*m - 12*m. Which is the third smallest value? (a) r (b) m (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + -2 + 8158\/1112. Let m = 12\/139 - s. Find the common denominator of 4*(-4)\/(-72)*226\/(-16) and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24470.\nAnswer: 2, 5, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3320*g - 1046*g + 257594 = 0 for g.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 8:35 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = i - 17*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -362502 by -274.\nAnswer: 1323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bp when two letters picked without replacement from {b: 3, p: 15}.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 1.3. Let h be 5 + (-766)\/136 + (-12)\/(-16). What is the smallest value in 0.09, 4, z, h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5600 (base 8) to base 5.\nAnswer: -43234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 156549 times -0.021\nAnswer: -3287.529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, t: 10}. Give prob of sequence tt.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - -3. Suppose 4*k - 7*v - 47 = -4*v, 2 = -k - 2*v. Is o > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1521876\/2093 bigger than -728?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14317 (base 8) to base 7.\nAnswer: -24342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -25172 times -0.06\nAnswer: 1510.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 34*b**2 - 34*b - 21. Give q(-33).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 y, and 1 f when three letters picked without replacement from {f: 1, o: 2, t: 1, l: 1, u: 2, y: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 2 - (-265 - -255) - 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-37)\/(-222) + (-338)\/12. Let u be (2 - 5) + 2 - x\/24. Let v be 4\/(-9)*(-1)\/2. Put 1\/2, -0.3, u, v in ascending order.\nAnswer: -0.3, u, v, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 6*k**4 - 116*k**3 - 865*k**2 - 1597*k + 13. Let s(q) = -3*q**4 + 57*q**3 + 432*q**2 + 798*q - 6. Let z(f) = 13*s(f) + 6*x(f). What is u in z(u) = 0?\nAnswer: -4, -3, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 33*a - 19. Let j(o) = 42 + 5*o - 28 - 17. Let w(t) = 39*j(t) - 6*x(t). Suppose 3*m + 0*m + 4*z + 25 = 0, 5*m = -2*z - 23. Calculate w(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33560640 divided by 43\nAnswer: -780480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 4*b + 15, 4*q + 20*b = 21*b + 7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 764 is divided by 199?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzsxzqxxxzz. What is prob of picking 1 q, 1 x, and 1 z?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i - 11. Let x(w) = 3*w + 5. Let f(h) = -h. Let m(u) = -2*f(u) - x(u). Let n = 22 + -19. Determine n*p(o) - 7*m(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*t**2 - 29*t**3 + 111*t**2 - 59*t**2.\nAnswer: -29*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -36*u + 14. Let x(j) = 10*j. Determine x(q(i)).\nAnswer: -360*i + 140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 92866.1734 rounded to the nearest ten?\nAnswer: 92870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109, -213, -317, -421?\nAnswer: -525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*c + 30*c - 75*c**3.\nAnswer: -75*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**1)\/l)**(3\/14)*(l**(-3\/4)\/l*l)\/(l**6\/l))**22 assuming l is positive.\nAnswer: l**(-1837\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 11 = -0*h + 3*t, 0 = 4*t - 4. Suppose -3*l + 3*u - 142 = 20, -102 = 2*l + h*u. Let w = -20 - l. Calculate the remainder when w is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o - 1. Let l be w(4). Let h(a) = a**2 + 8*a + 6. Calculate h(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-three fifths of a millennium?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -170, -1392, -4710, -11174, -21834, -37740, -59942, -89490?\n\"Answer: -175*y**3 + 2*y**2 - 3*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 573 is divided by 72.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 0*f + 0*f**2 + 2\/5*f**4 + 16\/5*f**3 + 0 = 0?\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (130\/(-9))\/((-4)\/6)*((-196407)\/695)\/157?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + -3)\/(-3) + 7\/(-13). Let x = -0.3531 - 0.0469. Sort 4, x, y in increasing order.\nAnswer: x, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -66a2 + 2cc7?\nAnswer: -38ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/4)\/(180\/96) + (-252)\/15. Let o = -12.21 - -0.21. Is l at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7\/(-14))\/(1\/3414). List the prime factors of (s\/7)\/(-3) - 18\/63.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62 + -64 + 2 + -3 + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 + -4614?\nAnswer: -4625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 6*d = 2*n + 17, 3*n + d - 17 = 0. Solve -2*g = -n*v - 10, -2*g + 14 - 4 = 5*v for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/16*72\/(-18)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 585 and 94614.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15545698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*l**3 - l**3 + 10 + 3*l**3 + 11*l**4 wrt l.\nAnswer: 44*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5\/126 - -64\/231. What is the common denominator of x and 67\/110?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -775, -749, -709, -655, -587, -505?\n\"Answer: 7*i**2 + 5*i - 787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 8 = -4*l, l = -3*k + 4*l + 3. Suppose v - 20 = -k*v. Solve 2*u - v = -10 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -894 - -1038. Let t(k) = 76 + 69 - o. Let v(h) be the first derivative of -h**2\/2 + 4*h - 2. Calculate 6*t(r) - v(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**3 - 2*g**2 - 4*g - 13. Let c = -19 - -32. Let j(b) = 3*b + 12 - 5*b - 18 - b**3 - b**2. Calculate c*j(u) - 6*t(u).\nAnswer: -u**3 - u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 7:12 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -73413511, -146827022, -220240533, -293654044?\n\"Answer: -73413511*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 6:50 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20316 divided by 12?\nAnswer: 1693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/(1 - (-4)\/8). Solve -3*q = -p + 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 1c?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 6:30 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9511 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9\/251, -2, -2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -49\/2698, -1\/5, 2\/5, -110?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 430 = -2*s. Let l = 17 - s. What are the prime factors of l?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20378 and 79297.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 6:14 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34*w**4 + 177*w.\nAnswer: -408*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -181424646 divided by -512499.\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 5*i**4 - 120*i**3 - 115*i**2 - 60*i - 35. Let d(l) = -l**4 + 20*l**3 + 19*l**2 + 10*l + 6. Let t(m) = -35*d(m) - 6*v(m). What is o in t(o) = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*b + 1608 = 0, -5*k - 9*b + 6*b + 4007 = 0. What is the hundreds digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 39\/2. Let v = 7 - 6. Let u = v - -2. Which is smaller: u or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1092383 and -2184763\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 5455*j + 714556. Calculate c(-131).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + w - 9 = 0, 3302*x + 25 = 3298*x - 5*w for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 1 = -7. Suppose 0 = 6*a - 3*a + m. Is (-1 - -20) + (a - -5) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(114)\/(sqrt(6) + sqrt(6)*2) - (sqrt(57)\/(sqrt(147) + sqrt(3) - sqrt(3)) - sqrt(19))) + -2.\nAnswer: -2 + 25*sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*(-135)\/(-756)*2\/210.\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 2 + (0 - -14 - (49 + -38)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 9*m + 2. Let s be u(-8). Let f(t) = -t**2 - 4*t + 1. What is the remainder when f(-3) is divided by 2\/(s\/(-9) - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -2 + -32 + (39 - 2).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23.3 - 23. Let m = 1.2 - 0.2. Let a = -1 - m. Put j, -0.4, a in increasing order.\nAnswer: a, -0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-5 - (-2 + -7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -1.5, 2\/5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*g + 1545 + 335*g - 165*g.\nAnswer: g + 1545","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 37973638 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, r: 2, q: 3, p: 10}. What is prob of sequence qqa?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1221000 + 12?\nAnswer: 1221012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8\/20 + 1119\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 87245a (base 11) to base 16\nAnswer: 1545ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -619 + 228 - 2*f - 45 - 351 to the form b*f + z and give z.\nAnswer: -787","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -10535318000 to the nearest one million.\nAnswer: -10535000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 161 times -750.83\nAnswer: -120883.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -7*v + 41. Let g be d(-11). Suppose 0 = -71*c + 69*c + g. Calculate the remainder when c is divided by 1 + 20 + 0 + -1.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 10:35 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-14)*x**(-32\/5))**(6\/17))**(-47) assuming x is positive.\nAnswer: x**(1692\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -63268 or -63471?\nAnswer: -63471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-99 + 1734*u**2 + 4200*u**2 + 99)*(-u + 4*u - 2*u) as v*u + c + z*u**2 + n*u**3 and give n.\nAnswer: 5934","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 35 + 0*i**2 + 6*i**2 - 4*i**2 + 4*i**2.\nAnswer: 6*i**2 + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -7*k - 17. Let z(m) = -m**2 - m + 9. Let u be z(-6). What is the remainder when r(u) is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 38 - 2 = 4*q, 0 = r + q + 9. Put r, 2, -10 in increasing order.\nAnswer: -10, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 229*j**2 - 927*j - 71. Determine o(4).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -5*t**3 + 2*t**2 + t. Let r(o) = 20*o**3 - 10*o**2 - 16*o. What is 10*b(g) + 2*r(g)?\nAnswer: -10*g**3 - 22*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 118, 102, 62, -14, -138, -322?\n\"Answer: -2*d**3 - 2*d + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*q - 22*q - 20*q - 24*q - 57*q**2 - 14*q + 93*q.\nAnswer: -57*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s - 24. Let m be c(-17). Suppose 4*a - m = 14. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-4 + 0 + sqrt(153) + 4 + 5)*4*-4)**2.\nAnswer: -91136 - 15360*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (79750\/(-1682) - -49)\/(5\/145).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 8 = -d - 14, 2*d = -6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t - 28. Let p be u(10). Let y be (-4)\/(-6) + p\/(-6). Let a(j) = -8*j - 10. Let o(d) = 5*d + 7. Let s(r) = -5*a(r) - 7*o(r). Determine s(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 828, 804, 766, 714, 648?\nAnswer: 568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24 - 17*u**4 + 68*u**4 + 4 wrt u.\nAnswer: 204*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*t = -3*t - 30, 0 = 2*f + 3*t + 5. Suppose -2*m + 819 = f*m. Suppose -m = -k + 74. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -105597293.0000392 - -105597337. Let w = 44 - s. What is w rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5771592.19 to the nearest ten thousand.\nAnswer: -5770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -4) + -6 + (-48 - (-24 + -89)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 44455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -32*v - 360. Calculate j(-13).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*(sqrt(60) - sqrt(15)) - ((1*sqrt(60))\/sqrt(4) - sqrt(15)))*3)\/(6*1*sqrt(245)*-2))**2.\nAnswer: 75\/784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2350 - 2352. Is -37\/11 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32445 divided by 2?\nAnswer: -32445\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19927529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*j - 10705770 = 4566654. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -112112211?\nAnswer: 112112200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-868)\/(-8) + (-6)\/4. Let p be (4\/12)\/((-5)\/(-1599)). Let f = p - o. Sort 0.5, 0.2, f.\nAnswer: f, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.92 + -2.9. Sort -4, p, 2\/13, 0.5 in decreasing order.\nAnswer: 0.5, 2\/13, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 4458316, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - 3*t + 4*t)*(-14*t**2 - 3*t**2 + 2*t**2)*(1 - 1 - 1).\nAnswer: -15*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.6 + 4.7?\nAnswer: 49.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150 = -231*l + 216*l for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.080037 millennia in decades?\nAnswer: 908.0037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 3480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (-3 + -12 + 3). Suppose 2*r - b = 6. Calculate the lowest common multiple of 16 and r.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a + 4. Let g be y(-6). Let h = 0 - g. Suppose 10 = 2*x + 2*t, -4*x = h*t + t - 23. Calculate the greatest common factor of 8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 487766.8.\nAnswer: 146330.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*u - 47*u + 3*l + 5613, 5*u + 2*l - 9327 = 0. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 3*u - 17262*u**3 + 17356*u**3 + 1 - 3*u.\nAnswer: 94*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.9 to the nearest integer.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i**3\/2 + 19*i**2\/2 + 13*i - 68 = 0. What is i?\nAnswer: -17, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 941700725 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**3 + 139638693*y**2 = 0.\nAnswer: 0, 46546231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.143*-3.83656.\nAnswer: 0.54862808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/7 + 4668*a**2\/7 + 4671*a\/7 - 1334.\nAnswer: -(a - 4669)*(a - 1)*(a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 62191159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12437 - 12434. Is o less than or equal to 0.031?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(19) - (sqrt(76) + 0)).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.120441 weeks to hours.\nAnswer: 1364.234088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 708 = 5*n - 2*n. Is 52 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1836*a**3 - 535*a**2?\nAnswer: -11016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -434 in 3, -2, -3, -1\/6, -2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = -x + 37. Let v be 0 + 9 + 84 + x. Solve -v*z - 25 = 3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2699 is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/12*18\/(-12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(792)*2 + sqrt(22))\/(sqrt(8)*-2).\nAnswer: -39*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426 is divided by 38?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15261 - 2201?\nAnswer: 13060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6461148 or 6461201?\nAnswer: 6461201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 101*l**3\/6 + 22*l**2 + 19*l - 22. Let f(k) be the first derivative of w(k). Is f(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 - (-35 + 53 + -6).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = d - 928, -4*v + 342 - 1246 = -d. What is the highest common factor of d and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -1. Let o be ((-2)\/8 - 1)\/(-5). Find u such that -o*u**h + 0 + 0*u**2 + 1\/4*u = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/81*45*(-6)\/30.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3\/26 - -31\/182. Let r = 163 - 158. Sort o, r, -4\/5.\nAnswer: -4\/5, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 10 - 18 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 12\/11 (c) -3 (d) -6 (e) -0.1 (f) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - (2 - (1 - 2)). Let a = -1 - z. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 f, and 1 e when three letters picked without replacement from fjdjeejeefdpej.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-7)\/21)\/(4\/(-48)). Sort -3, -5, f, -10 in increasing order.\nAnswer: -10, -5, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + (sqrt(272) - (sqrt(272) + sqrt(272) + ((sqrt(272) + -1)*-5)**2 + sqrt(272)))).\nAnswer: -576*sqrt(17) + 20463","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m**3 - 325*m*n - 3*n + 80 wrt m.\nAnswer: -3*m**2 - 325*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 8*i = 2301. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.223 plus 250480?\nAnswer: 250479.777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kmmu when four letters picked without replacement from {z: 6, m: 2, u: 3, v: 2, e: 2, k: 3}?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-18) + 106\/(-6). Let x = 26 + f. Suppose 0 = 25*a + 99*a - 124. What is the greatest common divisor of a and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.26 - -0.76. Sort a, 2\/5, 13.\nAnswer: a, 2\/5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 - 2 + 1)*(-4 + 4 + 2) + (2 - 4 + 4)*(3 + 1 - 2))*(279*f + 656 - 656) in the form i + v*f and give v.\nAnswer: 2232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 167, 3\/4, 1\/2.\nAnswer: 1\/2, 3\/4, 2, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 4*g - 12. Suppose -g = -2*l - 3. Is 7 a factor of (102\/l)\/((-2)\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -822878, -822880, -822882?\nAnswer: -822884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 9*k + 129 + 0*k - 150. Let g be n(-12). Let o be -10*(2 - 7\/2). What is the highest common factor of g and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5686 + -1846?\nAnswer: 3740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.05552 - -0.14448. Put -3, j, 30, -5, -1 in decreasing order.\nAnswer: 30, j, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 12:21 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 27*2*(-456)\/38. Let f = y - -656. Solve f = -11*h + 7*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (12\/16)\/((-2)\/(-1208))?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1236 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 217 - 330. Let k = 56 - n. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 + 0.2. Let t = -1.00000072 + x. What is t rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, y: 4, c: 3}. Give prob of picking 3 y.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 7 + 0)*(5*n - 1 - 1 - 3*n) - 13*n - 75*n - 4*n)*(-4*n + 0*n - 3*n).\nAnswer: 728*n**2 - 84*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 12) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 less than 1363.147434?\nAnswer: 1388.147434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -64652, -129311, -193964, -258605, -323228, -387827?\n\"Answer: p**3 - 3*p**2 - 64657*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.23 - -4.73. Let p = z + -8.3. Round p to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -16834, -16769, -16662, -16513?\n\"Answer: 21*w**2 + 2*w - 16857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001529874261 to six decimal places.\nAnswer: 0.00153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (220\/(-66))\/((-4)\/(-6))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.3156266 milligrams?\nAnswer: 315.6266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h - 2*h + 0*h. Let o(g) be the first derivative of 0*g - 5\/2*g**2 - 11. What is o(b(s))?\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36 - 36 + 5*k**3)*(106*k - 228*k + 111*k).\nAnswer: -55*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a centimeter in micrometers?\nAnswer: 84000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -8 + 23. Suppose d + 5*m = -r*d - 42, -5*d + 2*m - 69 = 0. Let l = -8 - d. Is l a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**2 - 5*f + 16. Let w be h(2). Let p be 1*(w - (-5 + 4)). Let y(t) = -19*t**3 - t**2 - 2*t - 1. Determine y(p).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/1 - 4 - (-205)\/82. Which is the nearest to 1\/2? (a) 0.09 (b) t (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*5*(-3)\/(-15). Solve -1 = 2*z + j for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/455 and 149\/11934.\nAnswer: 417690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of 229*g**5\/10 - g**4\/6 + g**3\/3 - g**2\/2 - g. Suppose 2*y - 2 = k, -3*k - 5 = -5*y - k. Is o(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 225 - 75. Let t = -106 + n. What is the highest common factor of t and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.13229 - 59.64229. Let x = -60 - d. Let m = -0.489927 - x. What is m rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1227 divided by -1227\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*k + 2*q - 10, -2*k - 2*q = 8. Let g be (380\/190)\/((-1)\/(-2) - 1). Put k, -1, 4, g in decreasing order.\nAnswer: 4, -1, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (50 + 27 - 55)*(-1518*m + 707*m + 559*m)*(1 + 1 - 4) + (0*m + 3*m - m)*(1 - 1 + 1) as c*m + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5222559187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63478 + -23868. What is the ten thousands digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 428*o**2 - 100 + o - 159*o**2 - 267*o**2 to the form g*o + j + x*o**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236163*l - 235879*l + 472049*l.\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.74679g to nanograms.\nAnswer: 47746790000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116928071 is divided by 54.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, -1\/75, 1 in increasing order.\nAnswer: -1\/75, 4\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8768155 divided by -11?\nAnswer: -797105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 27*b - 32. What is the tens digit of j(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3033314023 (base 5) to base 4.\nAnswer: -113131233202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -24*d**3 - d**2 + 16*d + 78. Calculate z(-3).\nAnswer: 669","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**2 + y**2 - 13 - 16*y - 7 + 3*y. Let o be u(-11). Suppose -4*g = o*h - 154, 3*h - 2*g = 176 + 31. What are the prime factors of h?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -392*u = -139*u - 1343430. What is the thousands digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l = 3*l + 6, 5*l = -5*m + 10 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1049, 0.361, -0.5, -1\/3.\nAnswer: -1049, -0.5, -1\/3, 0.361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + 4)*((2 - 1) + -2). Sort r, 0, 4.\nAnswer: r, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 8*j**2 + 11*j - 8. Let h be v(7). Let i be (-5)\/20 - (-453)\/4. Let k = h - i. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t**19\/t)\/t))\/t*t*t*t\/(t\/(t**(-4)\/t*t)))\/((t**(-1\/19)*t*t)\/((t*t*(t\/(t*t**21)*t)\/t*t)\/t)) assuming t is positive.\nAnswer: t**(-759\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99 = -5*l - 0*l - 6*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-five halves of a kilometer?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**2\/2 - 8*b + 17\/2 = 0. What is b?\nAnswer: -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**4\/2 + 1000041*r**3\/2 + 1000047*r**2\/2 - 1000041*r\/2 - 500022 = 0 for r.\nAnswer: -1, 1, 333348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/((-44)\/8))\/((-1)\/(-2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = -27 - 53. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1015 - 601. Suppose 11*d - 6*d + 94 = b, d = 4*b - x. Is 11 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6205 + -1847. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -5*z. Determine b(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1490*p = 1480*p + 60 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/(-8) + 2 - (-402)\/24. Let j(v) = v**2 - 15*v - 29. Let z be j(x). Suppose 8 = -m + z*n, m - 14 = -4*m - 2*n. Solve m*p + 8 = -0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**2. Let o be (13 - 3)*4\/(-10) + 4. Let g(b) = b + o*b + 8*b - 7*b. Give i(g(w)).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.13*-21676.\nAnswer: -2817.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5705 or -5724?\nAnswer: -5705","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eovhivn. What is prob of sequence hiov?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1048*o**2 - 71 + 95*o**2 + 71.\nAnswer: -953*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4123*x**2 + 1190*x.\nAnswer: -8246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 553 in -1, -5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 13. Let w = 8 + c. Let a(u) = 3*u**2 - w*u**2 + 1 + 1 - 3*u + 1. Calculate a(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8503?\nAnswer: 11, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + f - 325 = -4*c, -3*f = c - 84. Suppose 4*r - 12 = r. Suppose 0*y + y - c = -4*x, -4*x = -r*y - 96. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14.27 - -30.27. Which is the second biggest value? (a) -5 (b) j (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9442180 + 16773437. Let w = o + -3602525. Let z = w - 1598732. Round z to the nearest one hundred thousand.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 f when four letters picked without replacement from {f: 16, n: 4}.\nAnswer: 64\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102021.\nAnswer: 3, 31, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-2)\/(-38) - 0). Let o = x - 10. What is the least common multiple of o and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + -1)\/((-3)\/9) + 1085. Calculate the highest common factor of 17 and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 0*v - 75 = 0. Suppose 0 = 7*u - 2*u - v. Which is the smallest value? (a) 0.3 (b) u (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 188724 or -204?\nAnswer: 188724","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -2) + -7 + -4 + -2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 43092643 and 43092651 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7759, -7348, -6939, -6532, -6127?\nAnswer: -5724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*(-12)\/360 + 58\/(-10). Suppose 3*i = 4*l + 187, -l = 3*i - 169 + 2. Let g = b + i. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 2, 11, 17, -16923 in ascending order.\nAnswer: -16923, -9, 2, 11, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 33, 53, 73, 93?\n\"Answer: 20*z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301980853?\nAnswer: 1279, 236107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10932279?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(5\/(-2) + 3). Suppose 4 = t - 3*t, -t + p = 2*w. Suppose 0 = -5*z - 0*z + 4*c + 125, w*z - 50 = 5*c. Is 14 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**2 - 3*b - 2. Let f be v(-5). Let r = 1621\/6 + -307. Let a = r - f. Calculate the common denominator of 97\/20 and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 4*y**2 - 2*y + 2. Let t be h(3). Suppose z - 13 = w + 172, 917 = t*z - w. Let l = z - 128. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*i - 99 = -58*i. Let c(g) = g**3 + 11*g**2 + 7*g - 9. Let q be c(i). What is the greatest common divisor of 144 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of j**4\/6 + 2*j**3\/9 + 3. Factor g(m).\nAnswer: 2*m**2*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 544 a factor of 19238242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -10*p - 40. Let t be m(-7). Solve 107 = t*b - 43 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 73 + -40. Let y = a - 31. Calculate the remainder when 43 is divided by (-90)\/(-4) + y\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -1883 + 3386. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*m**3 + 2107 + 2109 + 2105 - 6321.\nAnswer: -14*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1591 is divided by 72?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2120*o + 14848. Give n(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275*l + 283*l = 8. Which is bigger: l or 1\/175?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 359 > 15\/92?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -5*j - 10, 6*j + 25 = j. Sort 31, -4, d in decreasing order.\nAnswer: 31, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20.91 and 0.04.\nAnswer: 0.8364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 12:45 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 227*v**2 + 199*v**2 + v**3 - 7*v**4 - 448*v**2 - 1 as x + d*v**4 + l*v + i*v**3 + k*v**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 25*w - 3. Suppose -7*c - 45 = -2*c. Let v be r(c). Let y = 451 + v. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009921697 rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/8*9504\/3960?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 286\/(-104) + -1 + 3. What is the second biggest value in -5, -1.8, r, 2\/37?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -67 - -467\/7. Let k = -4 + 6. Let v = 94.23 + -93.23. What is the nearest to v in g, k, -1\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*1*sqrt(484) - sqrt(484)) + -3*2*sqrt(484))\/(sqrt(88)\/(sqrt(8) - ((sqrt(512) - -2*sqrt(512)) + sqrt(512)) - sqrt(8))).\nAnswer: 256*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63763 - 320001\/5. Let j = q - -238. Suppose j*s**2 - 4\/5 - 2\/5*s**3 + 2\/5*s = 0. What is s?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 5*r**3 - 315*r**2 + 1710*r = 0.\nAnswer: 0, 6, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13235662?\nAnswer: 2, 11, 281, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130195 (base 10) to base 11.\nAnswer: -898aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 290 divide 8257001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 12862.06463 to the nearest integer.\nAnswer: 12862","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2955723929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -11*m - 2. Let s(i) = 5*i + 1. Calculate 4*d(x) + 9*s(x).\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1948 + -7*3\/(42\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -3. Let w(b) = -7*b**3 + 5*b**2 + b. Let z(g) = 11*g**3 - 8*g**2 - 2*g. Let c(o) = m*w(o) - 5*z(o). What is the second derivative of c(s) wrt s?\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 10*s - 9. Let f be n(-7). Solve 4*q - f = q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-6)*((-3)\/9 + (-8)\/3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 976655.8t to milligrams.\nAnswer: 976655800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 22\/(-112) - 147\/392. What is the closest to -0.1 in 62, 0.1, -5, u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12530\/37 - -22598\/185. Let w = -458 + k. Which is bigger: 4 or w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.54382*28.8.\nAnswer: 15.662016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14517 is divided by 427.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*m**2 + 1 - 3*m**2 - 3 + (0*m + m + m)*(-6*m + 0 + 0).\nAnswer: -8*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29771?\nAnswer: 7, 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*w**3 - 14*w**2 + 56*w**3 - 15*w**3 wrt w?\nAnswer: 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -7*g**2 - g. Let j be y(1). What is the lowest common multiple of ((-4)\/j)\/(5\/140) and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2100) + -4*sqrt(2100) - 4*sqrt(336))\/((sqrt(36)\/sqrt(2)*-1 - sqrt(18))\/(sqrt(6) - sqrt(54)*-6)).\nAnswer: 437*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 122789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/4 + 1125*r**2\/4 + 218231*r\/4 + 644595\/4.\nAnswer: (r + 3)*(r + 245)*(r + 877)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(15\/((-2100)\/(-98))))\/(332\/(-42) + 7)?\nAnswer: 30\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, y: 3, t: 1, b: 5, z: 1}. Give prob of picking 1 z and 1 b.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9167 or 9169?\nAnswer: 9167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -8. Let n = m + 4.3. What is the closest to -0.2 in 1\/5, 2\/5, n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 5. Let j be (-136)\/(-36) + u\/18. Suppose 24 + 0 = j*f. Solve 3*k + f = -2*c + c, 2*c - 2*k - 4 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 136 and 188584209.\nAnswer: 188584345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 7:59 PM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -6*m**2 - 586*m - 753. Let v be o(-96). What is the highest common divisor of 3818 and v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*1 - 33\/18. Let j(q) = q**2 + 9*q - 23. Let s be j(-11). Which is smaller: h or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 210\/119 + 511686\/11067?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37408649.57 rounded to the nearest 1000?\nAnswer: -37409000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 2*w + 452, -2*g - 4*w = 10 - 186. What is the lowest common multiple of 2 - 268\/(-9) - (-20)\/g and 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -474, -279, -86, 105, 294?\nAnswer: 481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 198 and 342?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of r**5\/60 + r**4\/4 + 4*r**3\/3 + 8*r**2\/3 - 18*r. Factor f(p).\nAnswer: (p + 1)*(p + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(399) + ((sqrt(399) + (sqrt(399) - sqrt(399)*-1))*1 - sqrt(399)))\/(-4*sqrt(21)\/sqrt(3)))\/(sqrt(540)\/sqrt(5) - (sqrt(3) - 2*sqrt(3))*-5).\nAnswer: -3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -16*o. Let m(u) = -5*u - 2. Let i(r) = -2 - 6 + 2 + 21*r + 15. Let a(x) = -2*i(x) - 9*m(x). Give a(k(g)).\nAnswer: -48*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*r - 187*r - 3*j + 36 = 0, -3*r = -3*j - 9 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2876 and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 136*r + 131*r - 70, -5*g + 2*r + 104 = 0. What is the remainder when 4618 is divided by g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 307235, 12.09, -3.\nAnswer: -3, 12.09, 307235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 2*a**3\/9 - 230*a**2\/3 + 26450*a\/3 + 153. Solve v(q) = 0 for q.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = 22*s + 156 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 0.2 (c) -0.18 (d) -3\/7 (e) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44\/117 - 2\/13. Let y = 5 + -1. Which is the closest to -1\/3? (a) w (b) 0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5195*k + 335306 = -1154*k + 76682 for k.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -7, -5, -3, -1, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 14. Let d = w + 8. Calculate the greatest common divisor of 25 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6624*c = 6874*c + 6750 for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g**4 + 6*g**2 - 2*g**4 - 2*g**3 - 5*g**2 - 2*g - g**4 to w + u*g**4 + i*g + s*g**3 + o*g**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 435 + -431. Solve j*d = -5*h - 15, -4*h = 2*d + h + 15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109328174 to the power of 1\/2, to the nearest integer?\nAnswer: 10456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -292 + 4*d**2 + 292 - 71*d**3.\nAnswer: -71*d**3 + 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 378650689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26208179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147502374365168 - 6*l**3 - 147502374365168.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 0, h + 4*d + 5 = 7. Let b(v) be the third derivative of -7*v**h - 1\/10*v**3 - 1\/100*v**5 + 0 + 0*v - 1\/20*v**4. Determine o so that b(o) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7677, -15503, -23475, -31593, -39857, -48267?\nAnswer: -56823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a - 3. Let n(q) = q**2 - 9*q + 11. Let j be 1 + 1 - -3 - -2. Let c be n(j). What is b(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 111137*j**2 - 273568*j + 68392. Let d(v) = 3*v**2 - 8*v + 2. Let y(p) = -34196*d(p) + i(p). Let m(h) = 2*h. Determine m(y(o)).\nAnswer: 17098*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8*-1531\nAnswer: -12248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2960 and 160.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 11337171 = 21062829. Round w to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 15) + -17 + 5?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 242 and 454.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29416.\nAnswer: 2, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 7:29 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183408847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7920670 or -10?\nAnswer: -7920670","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -2*d, -6*d = -4*d + 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 151 and 21.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - -46. Suppose -357 = -5*p + t, -p - 3*t - h = -2*p. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*n - 99 = 85*n. Solve 0 = -3*j - 3*s + n, -5*j + 7 = -4*j - s for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-10 - -5) + -4 + -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i + 50. Let y(x) = -2*x - 125. Let r(a) = -10*k(a) - 4*y(a). Let t(d) = 7*d + 0*d + 2*d. Calculate r(t(s)).\nAnswer: -18*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 70578235 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: Calculate the remainder when 54566 is divided by 8705.\nAnswer: 2336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33.024 + 0.024. Let c = 24 + r. Let l = 10 + c. Is -12 smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -102 + 185. Calculate the remainder when r is divided by 4 - -6*(-2)\/(-8)*12.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of j**3\/6 + j**2\/2 - j - 5. Let z(w) be the first derivative of s(w). Let r be (0 + 6)*1\/(-1). What is z(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119457 to the power of 1\/2, to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 35674900 rounded to the nearest 100000?\nAnswer: 35700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 245 and 24815.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 at most as big as 3714522?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l + 12*l - 87186 = 0. Suppose 0 = 23*s - l - 315. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2 + 3*k - 3. Let q(t) = 2*t**2 - 4*t + 4. Let f(v) = -3*q(v) - 4*x(v). Let c(n) = -2*n + 55 - 25 - 30. Determine f(c(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**3 - 3*s**2 - 2*s - 3. Give m(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6\/17 (b) 0.2 (c) 0.5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - 5*s + 178, -10*k + 6782*s - 552 = 6786*s for k.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 - -44. Suppose -5*n + 13 = h, m*n = -4*h + h. Put -5, -43, h in decreasing order.\nAnswer: h, -5, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 26*n. Let r(h) = 8*h + 12. Let q(g) = -2. Let j(b) = 6*q(b) + r(b). What is a(j(x))?\nAnswer: 208*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -561504 (base 8) to base 5.\nAnswer: -22024002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -34, 11, 68, 143, 242, 371, 536, 743?\n\"Answer: b**3 + 38*b - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 138 - 94. Let k(r) = -7*r + 34. Let b = 572 + -579. Calculate the remainder when k(b) is divided by o.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1027 and -0.3.\nAnswer: 308.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*l + 30*l - 2*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3. Let l(i) = 67*i - 14. Calculate -4*k(z) - l(z).\nAnswer: -67*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 204664147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3428\/2 - (3 + -5). Suppose 0 = q + 3*q - a. Does 12 divide 6\/15 + q\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s*s*s*s**(-1)*s))**9\/(s**2\/s)**(-1\/18) assuming s is positive.\nAnswer: s**(-485\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2010*b**4 - 2*b**3 + 78*b + 1845563 wrt b.\nAnswer: 8040*b**3 - 6*b**2 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**3\/9 - 16*s**2\/9 = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 + (20 + 5 + -5 - 4).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/(-3)*(-1 - 5 - 3). Let k = -20 - w. Calculate the smallest common multiple of 18 and k.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -65, -282, -659, -1208, -1941?\n\"Answer: -2*m**3 - 68*m**2 + m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 248, -76, -165, -2 in descending order.\nAnswer: 248, 4, 3, -2, -76, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -49028, -98055, -147078, -196097, -245112, -294123?\n\"Answer: 2*d**2 - 49033*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.065 in -2\/11, 2, -0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 683.0529 millilitres in litres?\nAnswer: 0.6830529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51899806 and 186132.\nAnswer: 311398836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/23 - -197\/230. Let a(u) be the first derivative of r*u**4 - 4 + 7\/5*u**2 + 2*u**3 + 2\/5*u. Factor a(p).\nAnswer: 2*(p + 1)*(3*p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 627 and 11185053?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.090419883 from -8.466609.\nAnswer: -8.376189117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12.551 + 0.051. What is d rounded to zero dps?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1153\/10 + 3439\/30. Is l at most as big as 1264?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rkkk when four letters picked without replacement from {r: 8, k: 5}?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60078, 60077, 60082, 60093, 60110, 60133?\nAnswer: 60162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -58. Suppose -47*r + d*r - 180 = 0. What is the smallest common multiple of 24 and r?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -8*m + 1. Let c be v(-1). Suppose d - c = 91. Suppose -d = -4*g + 16. Does 29 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**2 - 2*p - 4. Let y(b) = -b**3 + b**2 + 1. Let k(i) = d(i) - y(i). Let z be k(4). Find m such that -2*m**4 - 4 - 2*m + 4 + 2*m**2 + 2*m**z = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by 1555\nAnswer: -28\/1555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/2*(21 - 23). Solve -2*j - v = -3*j + o, 5 = 5*j + 3*o for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1857?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1047 + 2533 = 49*d - 228*d for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 350 and 250?\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 2*m**2 + m. Suppose 4*i = 16, 4*h = i - 0*i + 32. Suppose -h = -5*v + 16, 0 = -2*b - 2*v + 8. Determine g(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21.33 + -22.759. What is y rounded to 2 dps?\nAnswer: -1.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -g**2 + g + 3. Let o be q(-1). What is the units digit of (o + 1 + -2)*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011110100 - 10000011011?\nAnswer: -100100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 6*y**2 - 21. Let c(u) = 8*u**2 - 20. What is -3*b(m) + 4*c(m)?\nAnswer: 14*m**2 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-38)\/1)\/(((-165)\/(-33) - -8) + -14).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, n: 3, x: 5, w: 1}. Give prob of picking 1 t and 1 x.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 441, -0.2, -0.1, -2, 2\/17, 5.1 in decreasing order.\nAnswer: 441, 5.1, 2\/17, -0.1, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 39057 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 167118742 and 132575?\nAnswer: 5303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -23643, -94554, -212735, -378180, -590883?\n\"Answer: c**3 - 23641*c**2 + 5*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - (-48)\/14 - 3\/7. Suppose 2*l = 4*s - 14, 4*s = 3*l + b*l + 23. Solve 0 = 5*y - i + 2, s*y - y + 2*i - 4 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 57, 88, 119, 150, 181?\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6282 divided by -9?\nAnswer: -698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-270)\/(-420)*(-21)\/18*(-16)\/66?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + (94 - (-39 - -26)) + -12?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1646, 2991, 4336, 5681, 7026?\nAnswer: 8371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 5*f - 2*k + 43, 2*f - k + 27 = 0. Let l = f + 20. Suppose -l*g = -13*g + 2*z + 16, -4*g + 4*z = -24. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n - 9*n - 9 = -l, n + 3 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8323502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-13))**(-1\/9)*c*(((c\/(c**(-29)*c))\/c)\/c)\/c*c**16 assuming c is positive.\nAnswer: c**(400\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -125 - -130. Let k(c) be the third derivative of -1\/8*c**4 - 1\/120*c**6 + 0*c + 0 + 0*c**3 + 0*c**n - c**2. What is the second derivative of k(s) wrt s?\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/6 + (-8)\/(-6). Suppose 0*t - a = t. Let q(g) = -g + 6. Let f be q(8). Sort f, 3, t in descending order.\nAnswer: 3, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1669 divided by -2708.\nAnswer: -1669\/2708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -724552.53 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 - (153 + -70) - (21 + -2 - 0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9 at least as big as 3557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d. Suppose 2*g - 3 = -2*g + 5*c, 0 = 3*g - c - 5. Let k(o) = -g*o + o + 2*o + o. Determine k(n(b)).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28920287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 973 (b) 16 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/47, 2\/25, -4, -0.1, 1, -3 in descending order.\nAnswer: 1, 2\/25, 2\/47, -0.1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -j + 3*x + 9, -2*j - 5*x - 8 = 0. Let l(t) = -t**3 + 3*t**2 + 3*t - 4. Let p be l(3). Sort p, 4, j in descending order.\nAnswer: p, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/23 and (-774)\/(-154) - (-140)\/(-245)?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-1 - 4) + (8 + -14 - -18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -19354316 greater than or equal to -19354296?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(((d\/d**0)\/d)\/d)*d**(2\/13))\/(d**0)**(-28)*d**(-3\/4)\/(d*d**(-2\/9))*(d\/(d\/(d*(d**(-4)\/d)\/d)))\/d**(-2\/9) assuming d is positive.\nAnswer: d**(-1475\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from figmffqbfqqmmfq?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.3789+-13\nAnswer: -12.6211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-28)\/42*(-255)\/(-445) and -25\/86?\nAnswer: 7654","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0312 or 568?\nAnswer: -0.0312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**15\/h)\/((h*h**(-12))\/h*h))\/(h\/(h\/(h*h\/(h\/(h**31*h))))*(h**(-5\/3)\/h)\/h) assuming h is positive.\nAnswer: h**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*s = -34, -2 = 3*s - 8. Let g(n) = -n**3 + 5. Let k(w) = -2*w**3 + 14. Give f*g(m) - 5*k(m).\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 1 + 11 = 0, -5*d + 2*o - 40 = 0. Calculate the remainder when (-2)\/((-11)\/((-1353)\/d)) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.08475914567 - -2\nAnswer: 1.91524085433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 87*t**3 - 44*t**3 - 1 + 77*t**3 + (-4 + 2*t + 4)*(-t**2 + t**2 - 2*t**2) to i*t**2 + a*t + r + g*t**3 and give g.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 724091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/9 - 20\/(-90).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 385742.\nAnswer: 2, 7, 59, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1207, -2417, -3627, -4837, -6047, -7257?\n\"Answer: -1210*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19062.767416 + 0.382584. Let l = z - 18926.1347. Let b = l - 137. What is b rounded to three dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*f = -15. Suppose -3*s - 6 = 0, -f*r - 3*s - 12 = -0*r. Is (-105)\/(-6)*(-4)\/r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 267 = -27*x + 153. Solve 0 = 2*z - 2*a - x, -5*z = 4*a - 7 - 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + 1 + -4 + 4.\nAnswer: 1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1035 - -1037. What is the closest to -3 in -0.3, u, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1335 - 11?\nAnswer: 1324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of f**6\/90 + f**5\/60 - f**4\/36 - f**3\/18 + 13*f + 11. Let a(p) be the first derivative of y(p). Let a(x) = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/16*(-1 + -187). Let b = 96 + a. Solve -b*v + 8 = -0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18585 divided by 221?\nAnswer: 18585\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 + -2 + 3 - -4. Suppose q = 2*t - 3*o - 15 + 3, 0 = -5*t + 2*o + 8. Suppose 0 + t*l - l**5 - 4\/5*l**4 + 0*l**2 + 1\/5*l**3 = 0. Calculate l.\nAnswer: -1, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105628800?\nAnswer: 2, 3, 5, 11003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3493 + -0.225. Round y to 2 decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.39 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44\/3 - -14. Let n be (-1 + -1 - (-6)\/(-6)) + 9. Let f be (-20)\/(-48) - 4\/n. Which is the nearest to f? (a) -7 (b) k (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -60870 and -182608\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*r**2*z**3 - 384*r**2*z**2 + r**2 - 38450*r*z**3 - 2*z wrt r.\nAnswer: -34*z**3 - 768*z**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 97393\/48 or 2030?\nAnswer: 97393\/48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26 - 5?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21034, -21038, -21046, -21058, -21074, -21094?\nAnswer: -21118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 11:49 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/6*(-1)\/3*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 7*m - 2. Let a(g) = 2*g + 8. Let y be a(-7). Let d be v(y). Let f be (4\/8)\/(2\/d). Solve -n = f - 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*d**3 + 6 + 4*d**3 + 46 + 0*d + 3*d + 385*d**5 wrt d.\nAnswer: 7700*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 16*a**2 + 14*a - 8. Let q = -319 - -304. Determine f(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298*o - 576940 = -21892*o for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -71?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 29631287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 - 5)\/((-18)\/(-69))*69 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2846907 = -127*h - 518616. What is the greatest common factor of 378 and h?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2020122102 (base 4) in base 9?\nAnswer: 1041400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/7? (a) -8 (b) 6\/623 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10 and 4371.008154218.\nAnswer: 4361.008154218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a millennium in decades?\nAnswer: 980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*x - x. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1169915.292s to weeks.\nAnswer: 1.93438375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 329 divide 1193941?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 101.05 + -100.05. Let k = 0.01 + 0.05. Which is the closest to z? (a) -4\/3 (b) 0.3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36\/1*(1416\/96)\/59\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (8 - (16 - 9))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.517652 litres in millilitres?\nAnswer: 8517.652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b**2. Let s(q) = -711524*q**2. Determine y(s(d)).\nAnswer: -1518799207728*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/5559 and 70\/21219.\nAnswer: 39318807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10557707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2\/9 + 3747\/27*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3505\/6309*-2*36?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**6\/160 + 11*l**5\/48 + 19*l**4\/16 + 4*l**3\/3 + 3*l**2 - 36*l. Factor d(u).\nAnswer: (u + 2)*(u + 16)*(3*u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 152 or -2\/77?\nAnswer: 152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 10*x**2 - 5*x - 4. Let n(o) = 51*o**2 - 26*o - 20. Let f(l) = -2*n(l) + 11*y(l). Let b be f(4). What is the highest common divisor of b and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198)*1 + sqrt(198))\/sqrt(11))\/(sqrt(81)*2 - sqrt(81)).\nAnswer: 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {k: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 4*h**2 - 4*h - 5. Let s be b(5). Let l(p) = p**2 + 5*p + 3. Let f be l(-4). Let n be f*(-3)\/21 + 18\/21. Put s, -5, n, -2 in descending order.\nAnswer: n, s, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1692056?\nAnswer: 2, 211507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f**4 + 2*f**4 + 4*f**4 + (4*f**3 - 2*f**3 - 3*f**3)*(0 + f + 0) + 4*f - 4*f - 8*f**4)*(-3 - 6 + 0) to r*f**4 + q*f**2 + g*f**3 + h*f + t and give r.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + 26*n - 35. Let y(t) = t**2 - 26*t + 33. Let k(x) = 2*q(x) + 3*y(x). Let h be k(25). Which is the biggest value? (a) 21 (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**2 + y**2 + 0*y**2 + (-4*y - y + 4*y)*(3 - 5 + 1)*(-11 - 2*y + 11).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-one thirds of a decade?\nAnswer: 2440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 7 - 5)*(-4 + 3 + 2)*(-2 + 2 + 1)*(2 - 2*f**2 - 7*f**2 + 12*f**2) to the form y*f + o + d*f**2 and give o.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1488840 is divided by 228.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u + 6. Let d be q(10). Let t(i) = i**2 + 8*i + 5. Let p be t(-5). List the prime factors of (-114)\/(-10) - d\/p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 41956084.\nAnswer: 629341260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 - 5*a + 5. Let v be 196\/35 - 2\/(-5). Let c be 1\/((-12)\/18*6\/(-8)). Let s(b) = 7*b + c*b**2 - 8 - b + 2. Calculate v*w(d) + 5*s(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 31 + 16 = 0. Let y be n\/6 - (-57)\/6. Calculate the highest common factor of y and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6626 (base 8) to base 9.\nAnswer: -4684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -2\/343969?\nAnswer: -2\/343969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -4. Let i be -1 + 4 - 3\/3. Suppose 3*m = -1 - i. Sort j, -3, m in increasing order.\nAnswer: -3, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and 0.077.\nAnswer: -0.223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73683 + 19687*j + 73683 - 19687*j + 228*j**3.\nAnswer: 228*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a. Let t(m) be the second derivative of m**4\/3 + m. Give t(v(w)).\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 - 0.0559?\nAnswer: 36.9441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1286?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5051231700 rounded to the nearest one million?\nAnswer: 5051000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-4)*-1*-276. Suppose 29*q + m = 32*q. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 356*a = 358*a - 12. Suppose -4*q + 8 = 0, 3870 = 4*c + a*q - q. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*w = 90. Let u = 21 - w. Suppose 0 = -u*n + 2*d + 34, 6*d - 90 = -5*n + d. What is the remainder when 54 is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3809.12 * 0.18\nAnswer: 685.6416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-573)\/(-1910))\/((-6)\/(-115))*4\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55*q**3 - 55*q**3 + 10*q**4)*(3 + 3 - 5) + (-31*q**3 - 30*q**3 + 15*q**3)*(3*q + 2*q + 0*q).\nAnswer: -220*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + -18 + 3 - -27) + -23.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + (-5*sqrt(70) - sqrt(70)))*4)\/((-5*sqrt(30))\/sqrt(3)) + -5.\nAnswer: -5 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -5*k - k + 5*k. Let n(v) be the third derivative of -19*v**5\/60 - 51*v**2. What is u(n(y))?\nAnswer: 19*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 14*f + 26. Determine s(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 7 - o + 2 - 15 + 7. Let i be (-1)\/4 - (-13)\/4. Calculate d(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-96)\/(-80)*(60\/(-9))\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -30079206*v. Let q(z) = -2*z**2. Calculate n(q(m)).\nAnswer: 60158412*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 184*b - 3 - 863*b + 4*b**2 - 1576*b to t + z*b**2 + i*b and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 248034 and 54.\nAnswer: 2232306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 37265000 to the nearest 1000000.\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2048)\/sqrt(2))\/(sqrt(648)*-1) + 3.\nAnswer: -8*sqrt(2)\/9 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**11)**41\/(((k*k*(k*k**(-32)*k)\/k)\/k)\/k*k*k)**(-2\/59) assuming k is positive.\nAnswer: k**(26551\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 26*n**2 + 4*n + 10. What is r(26)?\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vsj when three letters picked without replacement from jfasjssffafssjvj?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of a**4 + a**3\/3 - 62*a + 25. Find the first derivative of m(b) wrt b.\nAnswer: 12*b**2 + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4636981 - -7876981. Round d to the nearest one hundred thousand.\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 3 = 4*y. Calculate the remainder when 144 is divided by -98*(y + 22\/4).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 9*u - 6. Let n be s(-10). Suppose n*i + i - x = 0, -3*i - 2*x = 0. What is the smallest common multiple of (i + (-9)\/(-2))*24\/18 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/(-24))\/(1\/(-56409)). Suppose 2*b = 6, b + z = 4*k + 2*b. What is k rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k - 13*k - 4*k)*(0*k**2 + k**2 + 5*k**2) in the form a + o*k**3 + v*k**2 + j*k and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 v when three letters picked without replacement from vmiivvidbbbovvo?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 207*r**2 + 1639*r + 17463. Calculate i(215).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-55)\/(2475\/(-54)))\/(3\/((-45)\/(-6))). Solve -2*o = -3*y - o + 9, o = -b*y + 15 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*d - 27*d + 49*d + 12238 = -55*d for d.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110001 + 1100001000001111?\nAnswer: 1100000101011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -189 + -43872.\nAnswer: -44061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.328331g to micrograms.\nAnswer: 8328331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/33? (a) 0.1 (b) -5 (c) -12 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -57707671.503133 - -119.503133. Let z = h - -57707647.000047. Let i = 95 - z. What is i rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 39 = x. Let c = -7 + x. Suppose c*k - 2*k - 12 = 0. Solve 1 = -b - 4*f, -5*f = k*b - 2*f + 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 8)*10\/4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o - 29 + 95 = 0 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -5602.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wkb when three letters picked without replacement from {k: 3, b: 5, w: 1}.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2*p**4\/9 - 20*p**3\/9 + 218*p**2\/9 - 340*p\/9 = 0?\nAnswer: -17, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, z: 6, j: 2, a: 1, q: 3, l: 1}. What is prob of picking 2 p and 2 z?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/7 - 39699412*y\/7 + 197005414143218\/7.\nAnswer: 2*(y - 9924853)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 14*b**2 - 33*b - 14. Determine s(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -420 - -415. Let a be (-2)\/(-5) - 36\/(-10). Let r be a\/18*2*1. Sort i, 0.5, r in ascending order.\nAnswer: i, r, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 14*u. Let p = 74 - 80. Let q(i) = -2*i**3 - 13*i**2 - 7*i - 7. Let o be q(p). Which is the nearest to -1\/8? (a) -2\/7 (b) u (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c - 18. Let s be z(-9). Let t be (3\/s - -1) + (-4)\/6. Solve 0 = -3*v - t*v - 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/36 - ((-1523012)\/36 + 7). Round b to the nearest one hundred.\nAnswer: 42300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - b**2 - 4*b - 3. Let h be ((-6)\/4)\/((-6)\/48). Let r be (-54)\/h*(-4)\/(-6). Calculate the remainder when g(r) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5423 and 15884154.\nAnswer: 460640466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - -6) + -5 + 31 + -41 + 18.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -69*j**5\/10 + 983*j**3\/6 + 2*j**2 + 57*j. Find the first derivative of n(y) wrt y.\nAnswer: -828*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 495655 and 0.054.\nAnswer: 495655.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 14075*h. Let j(x) = 3*x**2. Give c(j(i)).\nAnswer: 42225*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/75*45\/25.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-86)\/13846*(-40)\/20\nAnswer: 2\/161","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 16. Suppose -8*a - 3*h = -m*a - 85, 2*a + h = 35. 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 k(d) = 2*d + 4. Let i be k(-7). Let r(x) = x**3 + 10*x**2 - 2*x - 18. Let o be r(i). Solve -m - o = 0, -m = -5*l - 5*m - 33 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 16 (b) 2 (c) 2\/15 (d) -3 (e) 1397 (f) 39\/7 (g) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 81 + -34. Let t = 125 + n. Suppose 4*w - 5*w + t = 0. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1710 and 35.\nAnswer: 11970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 26)*(-92 + 4575\/50)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 8*l**2 - 8*l - 6. Suppose 0 = y + 3*x, -5*x + 5 = 5*y - 25. Let m be j(y). What is the units digit of m\/(4\/16*4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 494802763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*157748.\nAnswer: 157748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 1)*((6 - 4 - 1)*(0 + 0 + 2*j**4) + 2*j**4 - 3*j**4 - 2*j**4) as y + o*j**4 + b*j + d*j**2 + h*j**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 6, w: 2}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**3 + 35*v**2 - 15*v - 16. Calculate the smallest common multiple of 33 and y(17).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3145460*r**6 - 1939825*r**2 wrt r.\nAnswer: -377455200*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15525708 rounded to the nearest ten thousand?\nAnswer: -15530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 16*17\/884*(-26)\/(-4)*7\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -14*k - 3. Let o be a(-3). Let i = o - 27. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/28*-3*8\/(-18).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1911.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 26 = -4*t, 5*t - 5 = -5*m + 5. Suppose -t*s + 2*b = -19448, -5*b = 4*s - 11365 - 8069. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 4:13 AM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 555*y**4\/4 - 304*y**3\/3 - 578. What is the third derivative of z(t) wrt t?\nAnswer: 3330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert e (base 15) to base 11.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 9*d**3\/2 + 37*d**2\/2 + 25*d. Find the first derivative of c(r) wrt r.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fjw when three letters picked without replacement from yyywfjjywyyjr?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 464 - 86)*(-6*f**3 + 5*f**3 - 6 + 0) to the form a*f**3 + s*f + r + d*f**2 and give r.\nAnswer: 3306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 619.5 - 616. Sort x, 5, -0.5.\nAnswer: -0.5, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(8\/5))**(-11\/2) assuming y is positive.\nAnswer: y**(-44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 74108, 148223, 222354, 296501, 370664, 444843, 519038?\n\"Answer: 8*q**2 + 74091*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 336 and 35504.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from uuuuujurujsuuuusrsuu.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1007?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -20\/7, 5\/4, -2 in descending order.\nAnswer: 5\/4, -2, -20\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -65*c**3 + c**2 + 2*c + 1. Suppose 6*a + d - 6 = 11*a, -5*d = 4*a - 1. What are the prime factors of q(a)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/3))**(-9))**18*((h**1\/h)\/h**(-2))\/(h*h\/(h**(1\/5)*h)*h*h*(h\/(h\/(h*h**(1\/4))))\/h) assuming h is positive.\nAnswer: h**(-2181\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d*(d\/(d**(-1)*d*d))\/d)*d*d**(-10)*d*(d*d\/(d\/(d**1\/d)))**2 assuming d is positive.\nAnswer: d**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 3*o + 1246, -3*d + 3*o = -2*d - 307. Let r = d + -276. Which is smaller: r or 39?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1936\/15 - 129. Are l and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0)**(-11)*(d*d**(-2\/5))**(3\/22) assuming d is positive.\nAnswer: d**(9\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*v - 3*v + 3*v)*(-43*v - 14*v - 12*v + 13*v) in the form g*v + l + n*v**2 and give n.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120221211 (base 3) to base 9.\nAnswer: -16854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -1, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 79 + 3 + -8 - -4 - (517 - 517)\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -3*p + 44. Suppose -15 + p = -2*v. What is the remainder when 9 is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from xgxxjoggggh?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/9*t**3 + 46\/9*t - 1\/9*t**2 - 80\/9.\nAnswer: -(t - 5)*(t - 2)*(t + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-4\/15))\/c**(1\/6) assuming c is positive.\nAnswer: c**(17\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*((-4)\/(-6))\/(4\/3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2211940, -2211939, -2211938, -2211937?\nAnswer: -2211936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**3 - 43*d**2 - 8*d - 1. Let q be a(-21). Do -273 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -0.3 (c) -14 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 + 3)*(-15)\/(-2). Let v(g) = 9*g**3 + 0 - 2 + g - 12*g**3. Let c be v(-2). Calculate the highest common factor of c and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -152*x + 1. Is s(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 4*r**2 + r - 2. Let c be b(-3). Let x = 2 + -4. Let w be x*(1 - 14\/15). Put -3\/8, w, c in descending order.\nAnswer: c, w, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**2 + 2*o**2 - o**2 + (3*o - 2*o + o)*(3 + 2*o - 3) + 0*o**2 - 4*o**2 + 3*o**2 + 0*o**2 + 0*o**2 - 2*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 5*a**2 - 13*a + 67. Let f(c) = -9*c**2 + 25*c - 135. Calculate -5*b(m) - 3*f(m).\nAnswer: 2*m**2 - 10*m + 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2686549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19499 and 225959?\nAnswer: 1147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 7*b**2 + 7*b + 4. Let a be l(-5). Let n = 13 + 14. Let g = n - a. Calculate the remainder when 14 is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2975176027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*k*n**3 + 2*k*n**2 + 3*k*n - 74865*k*t - 2*k - 4*n**3*t - 9*n**3 - 5*n*t - 2492*n + t with respect to t.\nAnswer: -74865*k - 4*n**3 - 5*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 185 and 148.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37959*f**2*k - 7523*f**2 - 2900*f + 48*k with respect to k.\nAnswer: -37959*f**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 2*d + 79, 3*v + 132 = 8*d - 6*d - 5*d for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 76*c - 9. Suppose 0 = 5*x - 4*g - 46, g + 4 = -5*x + 30. What are the prime factors of p(x)?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 612?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n + 70 - 5 = 0. Let w(k) = 3*k - 15. Let g be w(n). Solve 2*d = -g*f + f, 2*f = 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -12*w - 324. What is c(-27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + -1 + -7 + 8. Suppose 4*x = s*j - 334, 6*j - 3*x + 147 = 7*j. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*o = -123*o + 273 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.78 - 6.78. Which is the second biggest value? (a) -0.3 (b) -3\/8 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -431*r**5 + 4*r**2 + 24*r.\nAnswer: -25860*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.9 + 6. Let r = -10538 - -10540. What is the nearest to u in -5, 8, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/2*(-54)\/36?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = 3*t, -2*t + 58 = -1895*p + 1900*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -q**6\/15 - 3*q**5\/20 - 13*q**4\/2 + 155*q**2. What is the second derivative of z(a) wrt a?\nAnswer: -48*a - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 38 = -4*m + 102, -f - 3*m + 39 = 0. Is f a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-5\/6))\/(c**12\/c) assuming c is positive.\nAnswer: c**(-55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1843 is divided by 221.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66402*f + 5*w - 71 = 66395*f, -f - 4*w = -43 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t - 5. Let q be a(-5). Suppose -36 = -3*s - 2*v, 0 = 5*v - 0 - q. What is the least common multiple of 6\/18*9\/2*8 and s?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x. Let h be i(1). Let z = -45 + 44. Which is the closest to -1? (a) z (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*z - 154 = 6*z. What is the smallest common multiple of z and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.4, -150, -1, 2 in ascending order.\nAnswer: -150, -1, -0.5, -0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -787*y**3 + 748*y**3 + 551*y**3 + (4*y - 4*y + 3*y)*(3*y**2 + 2*y**2 - 4*y**2) + 3*y**3 - 2*y**3 - 2*y**3.\nAnswer: 514*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11250877*g**3*h + 33176*g**3 - 2*g + 15 with respect to h.\nAnswer: -11250877*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 2651\/12 - 221. What is the nearest to 0.1 in h, 2, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 11*y + 44. What is m(-5)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 313 - 42. What are the prime factors of b?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 111735 and 90.\nAnswer: 223470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 - 31. What is the second derivative of -4*q - 36*q**3 - z + 0 + 3 wrt q?\nAnswer: -216*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24968*x**2 - 2644*x**2 - 4580*x + 800 + 2096*x**2 - 2214*x - 2026*x - 605*x**3.\nAnswer: -5*(x - 40)*(11*x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3210883 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -170603 (base 13) in base 2?\nAnswer: -10001011101101001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15*1\/(-10))\/((-17)\/(-170)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5304186 and 68779.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38154 is divided by 33.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*b**3 - 9\/2*b + 1\/2*b**2 - 9\/2.\nAnswer: (b - 3)*(b + 1)*(b + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1703460 to the nearest 10000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - n**2 + 2*n + 1. Suppose 0 = -5*s + 10 - 0. Let b be q(s). Let t = 11 + b. Does 4 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 863669410 rounded to the nearest one hundred thousand?\nAnswer: 863700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 - 2 = 3*y - s, 2*y - 36 = -2*s. Let c be (7\/2)\/((-2)\/(-4)). Let i(x) = 2*x + 4. Let p be i(c). Solve -2*j = -4*f + p, -5*f + 4 + y = -3*j for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7949 is divided by 5785.\nAnswer: 2164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.4 - -3. Let v = -0.0313 - 4.9687. What is the third smallest value in v, n, 0.08, 2?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5*-9549*(-18)\/810 is divided by 342?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4717453 to the power of 1\/2, to the nearest integer?\nAnswer: 2172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16\/7, 0.7, -9\/2, 0.06.\nAnswer: -9\/2, -16\/7, 0.06, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*x + 5*r, -3*x - 6*r = -2*r - 25. Let m(y) = y + 1. What is the smallest common multiple of m(3) and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*o - 423 = 16*o for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 20 = 4. Suppose -2*n + 85 = 3*n + m*p, -n - 2*p + 11 = 0. What are the prime factors of n?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 198571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 296076 by 6.\nAnswer: 49346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*w**4 - 6*w**4 - w**4 + (0*w + w - 3*w)*(4*w - 4*w - 2*w**3) + (-5*w**2 + 2*w**2 + 2*w**2)*(-2*w + 2*w + w**2).\nAnswer: 24*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 1)*(14 - 8 - 8)*(-301*m + 26*m**3 + 301*m) + 4*m**3 - 2*m**3 + 0*m**3.\nAnswer: 158*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 1\/50*v**5 - 1\/15*v**3 - 1\/30*v**4 + 2 + 1\/5*v**2 + 3*v. Let f(w) be the first derivative of b(w). Find g such that f(g) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224 = -6*u + 2*u. What is the remainder when 485\/7 + 376\/u + -7 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 799658 to the nearest integer?\nAnswer: 894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.3 - 9. Let y = -0.7 - x. Let i = 6\/7 - 4\/7. What is the nearest to i in y, -5, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -101, -201, -301, -401?\n\"Answer: -100*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 0.08 (c) 14 (d) -1.13 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -7.012, 6 in descending order.\nAnswer: 6, 0.5, -7.012","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h - 24*h - 128 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 10*c - 3. Let y be p(-9). Let z be 1\/(1 - y\/4). Let s be (4\/3)\/((-1)\/3). Put s, z, 5 in descending order.\nAnswer: 5, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/(-12))\/(-1)*(-35776)\/(-3440).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-176)\/8 - 4576\/(-192).\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.17 - 0.06. Let v = 0.61 - f. Let n = 116\/5 - 22. Which is the second biggest value? (a) -1\/3 (b) v (c) n (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25479 to the power of 1\/2, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 63657 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.03039 + -0.26961. What is the smallest value in n, 0, -68?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -321 + 436. What is the remainder when 425 is divided by m?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 b, and 1 w when three letters picked without replacement from {f: 1, w: 6, x: 2, m: 1, h: 1, b: 4}.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -967\/1100 + -15\/44. What is the common denominator of h and (-58)\/(-30)*-1 - 4?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 0, -4, 7, 3, -2, 8 in ascending order.\nAnswer: -9, -4, -2, 0, 3, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**5 + 300*s**4 - 1449*s**3 + 2292*s**2 - 1140*s = 0. Calculate s.\nAnswer: 0, 1, 2, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cviiiiciiicccicdiic. Give prob of sequence civc.\nAnswer: 35\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 33251941043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x + 39*x**2 - 52*x**2 + 72*x**2. Let z(c) = 2*c. What is z(v(k))?\nAnswer: 118*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -188 + 210. Calculate the greatest common factor of 110 and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 + 40. Let o = -11 + y. Which is the nearest to -1? (a) o (b) 1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 39, -1\/33?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 32 - 11 + 51 + 299*n to h*n + p and give h.\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.82044 and 5.\nAnswer: 24.1022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/2610 and 19\/3.\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18746*r = 18743*r + 103230. List the prime factors of r.\nAnswer: 2, 3, 5, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -425 - 0.01\nAnswer: -425.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 - 1695\/(-21)) + (-8)\/(-28). Suppose 0 = -6*h + p + 8. Calculate the highest common factor of 42 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3519*n - 7867. What are the prime factors of r(8)?\nAnswer: 5, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 9*u**3 + 6*u**2 + 29*u + 6. Let x(s) = -19*s**3 - 13*s**2 - 59*s - 13. Determine -6*x(t) - 13*y(t).\nAnswer: -3*t**3 - 23*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53*k**2 + 1491*k**3 + k + 6876*k**3 + 310*k**2 - 164*k**2 - 4*k wrt k.\nAnswer: 50202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, d: 4, q: 5}. Give prob of sequence dt.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -7*j**3\/2 - 33*j**2 + 65*j. Let b(u) = 45*u + 133. Let f(x) = 2*b(x) + 5*d(x). What is the derivative of f(i) wrt i?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22946 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 4*g + 121. Let x(c) = 11*c - 240. Give -5*m(l) - 2*x(l).\nAnswer: 5*l**2 - 2*l - 125","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2572 = 5*c - 907, 0 = 3*i - 5*c - 1245. Is i a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - (-20)\/(-4)) + 23. Differentiate 10*h**3 - 5 - w*h**3 - 6 with respect to h.\nAnswer: -27*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 4\/3329749?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**3\/5 - 86*v**2\/5 - 8*v\/5 + 344\/5 = 0 for v.\nAnswer: -2, 2, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3\/3 - 2*y**2\/3 - 100*y\/3 + 50\/3.\nAnswer: 2*(y - 5)*(y + 5)*(2*y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 4\/2531?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -7269 = -7271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**4 - 104036*x**3\/3 + 132797920*x**2\/3 + 44346896*x\/3 - 88555072\/3 = 0.\nAnswer: -1, 2\/3, 1556, 7114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c*s**3 + 40*c*s**2*x**3 - 12*c*s**2*x**2 + c*s*x**3 - 11*s**3*x**3 + 25*s**3*x**2 wrt s?\nAnswer: 6*c - 66*x**3 + 150*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 121, 2, 4, -132, 0, 9, -4 in decreasing order.\nAnswer: 121, 9, 4, 2, 0, -4, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0903842069 to four decimal places.\nAnswer: -0.0904","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 1879173.4 to the nearest 1000.\nAnswer: 1879000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - k**2. Let f be p(1). Let d(r) = -2*r**2 + 2*r + 3. Calculate d(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 0*f + f - 5*f**2 - f**3 + 10*f**2 + 2. Is z(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-4) + (-11)\/(-4). Let q(d) = -6*d**2 + 4 - 3*d**2 + 1 - d**r. Let x be q(-9). Solve x*b - b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (24 + 13 + 53*x - 52*x)*(3*x + 0*x - 2*x) in the form q*x + f*x**2 + m and give q.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 3*t + 2 + 89, r = -6*t + 7. Solve -3*z + 30*o = r*o - 15, 3 = -2*z - o for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 2 + 12, 2*g = -2*n + 4. Let u be -3*(n - -4)*-3. Solve i + u = -2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 - 3*b + 2. Suppose -5 - 3 = 2*c. Let k be (c + 7)\/((-6)\/(-4)). Let o be s(k). What is the biggest value in o, 2\/9, 3\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 3:56 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 88 = k - 78, -5*k = 3*q - 15 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3994 - -6452. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80855 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -43*s - 2. Let o(c) = 65*c + 3. Give 7*k(g) + 5*o(g).\nAnswer: 24*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 7*d**2 - 4*d - 12. Let u be f(8). Let x be ((-6)\/(-12))\/(2\/u). Let n(o) = -o - 1. Let g be n(-2). Solve 2*h + g = x for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 57971, 115953, 173935, 231917?\n\"Answer: 57982*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182 = -4*l + 2*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 3 (c) 44\/47 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -93*u**2 - 1311*u + 4588. Determine i(-17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, t: 2, e: 3, b: 2}. Give prob of sequence ebab.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h**2 + h - 1. Let w be l(1). Suppose w*u - 2*u = -10. Let y(i) = -6*i. Let o be 2\/(-4) - (-11)\/(-2). Let r(a) = 7*a. Determine o*y(p) + u*r(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**1*p)**(-28\/5)\/(p*p\/p**(-1\/2))**(5\/2) assuming p is positive.\nAnswer: p**(-237\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 6*p**2 - 7*p + 4. Let f be u(7). Let o be (-6 - 1257) + 0 + f. Is (0 - o)*(0 - -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 1:11 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 10. Let o be d(5). Suppose o*v - 7*v - 63 = -5*y, -y = 2*v - 3. Suppose -1333 = -y*n + 922. Does 18 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3272*i**3 + 135*i**2 + 2*i - 74034177 wrt i.\nAnswer: 9816*i**2 + 270*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -0.03, -0.0809, -62?\nAnswer: -0.0809","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-9)*6\/220. Let y = z + -1723\/462. Let c = -1551 - -3199\/2. Calculate the common denominator of c and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (12 + -26 - -12 - (-1 + 6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1588 and 2498547684.\nAnswer: 2498546096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a + 9563818?\nAnswer: 9563827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 1)*(-2 + 2). Suppose y*g = 2*g - 10. Suppose -4*a + 2 = g*u - 125, 3*a = 3*u - 87. Is u a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 33346, 135576, 305960, 544498, 851190, 1226036?\n\"Answer: 34077*b**2 - b - 730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17512*v**4 - 16*v**2 - 8*v - 11?\nAnswer: -420288*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 32*c - 2. Let t(w) = 31*w - 2. Let v(j) = -5*t(j) + 4*y(j). Let l be v(-2). Let u be (-2)\/(-7)*l\/(-12). Does -1 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 0.08, 17.073, 0.6, 5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 460, -5, 0, 2, 528 in descending order.\nAnswer: 528, 460, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -408.7 + 219.119947\nAnswer: -189.580053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10613 divided by -6\nAnswer: -10613\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*g - 15*g + 57*g)*(-3*g**2 - 2*g**2 + 6*g**2 + (2*g**2 - 3*g**2 + 3*g**2)*(-3 + 3 + 2) - 7*g + 7*g + 5*g**2) as x*g**3 + d*g**2 + c*g + f and give x.\nAnswer: 620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117812?\nAnswer: 2, 29453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*i**4 - 2*i**3 + 69*i**2 - 4*i*v - 1058*v - 2 wrt i?\nAnswer: 8*i**3 - 6*i**2 + 138*i - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3333*i + 16143 with respect to i.\nAnswer: 3333","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6060 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttoxktko. What is prob of sequence oko?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -87 - -219. What is the greatest common factor of x and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -98 (b) -8\/1011 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/20 and 77\/43240.\nAnswer: 43240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 448\/98 + (-2)\/(-7)*18\/12. Which is the nearest to -0.3? (a) k (b) 1 (c) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2363852, 4727393, 7090936, 9454481, 11818028?\nAnswer: 14181577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) 2 (c) -4 (d) 36 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.3 + -0.8. Which is the biggest value? (a) 9 (b) -0.1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/4 (b) -5 (c) -2 (d) 66.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12107 (base 8) in base 15?\nAnswer: -1811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 59605, 59628, 59647, 59662, 59673, 59680?\n\"Answer: -2*i**2 + 29*i + 59578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f. Let u be 6\/(-6) + 1 + 2. Let q(h) = -h**u + h - h + 5*h**2. Give q(z(y)).\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 81301463*h*t**3 + 19*h*t**2 - 11*h*t + 2*h + 3*t**2 + 2*t - 27 wrt t.\nAnswer: 487808778*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -3. Suppose 0 + 10 = r*v. Let n = 492 - 492. Solve n = v*l - 0 + 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -551*t + 129 = -502*t - 18. What is the highest common divisor of t and 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7461 and 39327.\nAnswer: 97806249","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-9))\/(4 + 4667\/(-1170))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/5 + 889*o**2\/5 - 39427*o - 39605.\nAnswer: -(o - 445)**2*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l - 14*l - 11*l + (-l + 0*l + 0*l)*(4 + 7 - 2) + 3 - 3 - 9*l in the form m*l + a and give m.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48769 and 27868.\nAnswer: 195076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -547*s**4 + s**3 - 8*s**2 + 51374*s?\nAnswer: -6564*s**2 + 6*s - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 52, -0.02?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10933479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 - 79 = -14*l - 49 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight fifteenths of a week?\nAnswer: 5376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14948412 - -0.4.\nAnswer: -14948411.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 331 + -331.5. Let w be 4\/(1\/(2\/2)). Which is the second biggest value? (a) -4 (b) h (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n**2 + n + 3. Let o be -5 + (-10 + 3 + 6)*-2. Let z(h) = -2*h**2 - 2. What is o*c(x) - 5*z(x)?\nAnswer: -5*x**2 - 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 841 and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyjjy. What is prob of picking 1 y and 1 j?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 7) to base 4\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 211313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 1 - 1)*(7*t - t + 16*t)*(-2 + t**2 + 2).\nAnswer: 44*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/5)*z)\/z**2)**(-4\/11)\/((z**(-3\/5))**(-2\/15))**(2\/19) assuming z is positive.\nAnswer: z**(1096\/5225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 87 and 17371?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**3 - 32*f + 145*f - 36 - 534.\nAnswer: -3*f**3 + 113*f - 570","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -278*k + 7603. Determine m(30).\nAnswer: -737","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -269*g**2 + 2858*g - 2588. Give z(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 1) + (-7 + 12 - 9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1377 - 1641.1.\nAnswer: -1641.2377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (24*q - 20*q + 14*q)*(3*q - 3*q + 2*q) + (-6*q - 11*q + 34*q)*(-q - 4*q + 4*q) as y + x*q + t*q**2 and give t.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -y**6\/45 - 25*y**3\/2 - 2*y + 2. Let u(p) be the second derivative of k(p). Let x(g) = -15*g**2. What is x(u(w))?\nAnswer: -960*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -329846.7 rounded to the nearest ten thousand?\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 137 + 253. Let w = -49 - s. Suppose -5*h - 4*u = -123 - w, -5*u + 43 = h. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -89.1 + -0.117\nAnswer: -89.217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2876088096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -53*t**2 + 68*t - 24. Let c(z) = -106*z**2 + 136*z - 40. What is 5*b(p) - 3*c(p)?\nAnswer: 53*p**2 - 68*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 0*a + 12 = 5*g, -5*a + 20 = 5*g. Suppose -3*s + g*l + 231 = 0, 4*l + 201 = 3*s - 28. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 451182 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2434048 (base 9) in base 4?\nAnswer: -11002223321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z**3 - 32*z - 34*z - z**2 + 3*z**4 - 24*z - 4*z**4 + 86*z to d + a*z**3 + u*z + r*z**2 + b*z**4 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2*v + 21 = 3*u, 0 = -5*u - v + 12. Let j(t) = 7 + 13*t**2 - t**u + 4*t - 5*t - 8*t**2. Let b be j(5). Solve -p - b = -3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 285*c - 4*c**3 + 2*c**3 - 307*c to the form b*c**2 + m + x*c**3 + s*c and give s.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 16251, 4, -0.23?\nAnswer: 16251","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c + 114 = -75. Which is smaller: -22 or c?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70.9*-0.1\nAnswer: 7.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i**2 - 41*i - 83. Let p be q(-2). Calculate the highest common divisor of p and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/16 and 5\/116.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 39*u**2 - 25*u - 220. Determine h(-39).\nAnswer: 755","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x - 1462 + 532. What is the greatest common divisor of x and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89385593315 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s + 2*s + 14 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -29137, -29120, -29065, -28954, -28769, -28492, -28105, -27590?\n\"Answer: 3*f**3 + f**2 - 7*f - 29134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1749, 3433, 6247, 10197, 15289, 21529?\n\"Answer: g**3 + 559*g**2 + 1189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -383.198 to the nearest integer.\nAnswer: -383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 17*h**2 + 18*h - 27. Let w be r(16). Solve 5*d - 15 = 0, 2*y - w*d - 11 = -6*d for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 31?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000297 to seven dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -6. Let t be (-346)\/585 + z\/10. Let j = t + -19\/117. Which is the biggest value? (a) j (b) 0 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1269, 1\/4, 1\/10, 41, -1 in descending order.\nAnswer: 1269, 41, 1\/4, 1\/10, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 285de (base 15) in base 16?\nAnswer: 1fa30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**3 - c**4 - 4*c**3 + c**4 - 2*c**4 + 0*c**4 + (-c + c + 2*c**2)*(c - c - c**2))*(-7 - 59 + 32).\nAnswer: 136*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 912727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 10:03 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l + 6. Let w be t(-5). Let s(f) = 3*f + 1. Calculate the least common multiple of s(3) and w\/(4 + 2 + -5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -104 or -4031\/39?\nAnswer: -4031\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -24 + -70?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 1, 0, -6 in ascending order.\nAnswer: -6, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 277 + -1065. Let t = -337 - a. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21796 by 6.\nAnswer: 10898\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -8*y**4\/11 + 6*y**3 - 8*y**2\/11 - 6*y + 16\/11 = 0.\nAnswer: -1, 1\/4, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -20572, -21620, -22668, -23716, -24764?\n\"Answer: -1048*h - 19524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 82 = -2*o, -17 - 24 = 13*q - 9*q + o for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3020.27 - -3033. Let x = z + 0.27. Let v = x + -12. Which is bigger: -2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 575044626?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 48 + 624 = 2*p, 3*p - a = 1008. Suppose 3*b = 3*o - p, 2*b - 57 - 61 = -o. Suppose 15*l = 21*l - o. What is the remainder when l is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 42135, 84275, 126419, 168567?\n\"Answer: 2*g**2 + 42134*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 3*z + 154. Let l be s(-14). Solve -m + 1 - 4 = l for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -191*w**4 + 8413*w - 17500876 wrt w?\nAnswer: -764*w**3 + 8413","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.07 - 4.07. Let o = -5690 + 5690. What is the second smallest value in l, o, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -12*s - 29. Let h(y) = -2*y**2 - 16*y - 3. Let r be h(-8). Let a be m(r). Solve -a*i + 2*i + 4 = -3*x, 5*i = 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 4*c - 2*n, -n + 4*n = 3*c - 18 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + (-42)\/7)*-4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 19\/6 (b) -3\/8 (c) 57\/2 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiupeieyuieiy. What is prob of picking 1 p and 1 u?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2*j = 104, 4*j - 7 = 1. Calculate the remainder when 47 is divided by v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 8 - (-3 + 1)) + 287 + -296\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -60090 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 109704880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in 0.5, -5, -8, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -db38a (base 15) in base 12?\nAnswer: -296987","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4104 is divided by 111?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 19*t - 6*t)*(t + 0*t - 3*t + (-2*t + 2*t - t)*(3 + 1 - 3)).\nAnswer: 69*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1319 - -1390.95. What is j rounded to zero decimal places?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44025 and 88050?\nAnswer: 88050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12531043 is divided by 391591?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 2\/15 (b) 3 (c) -1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4717092 and 114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xr when two letters picked without replacement from {r: 1, f: 1, h: 2, w: 1, l: 1, x: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136975?\nAnswer: 5, 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.594, 13, -1?\nAnswer: 0.594","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 241 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 246 divide 71519428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42610951 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j - 1. Let y(r) = -42*r + 28. Let z = -14840 + 14839. Calculate z*y(t) - 28*a(t).\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 4*j + 132, -2*j - 3*j + l - 162 = 0. Let a = j + 57. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10232600 divided by -140?\nAnswer: -73090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 - ((-12)\/(-3) + (-3)\/(-21)*7).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 51.09 (b) -1812 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 249 - 188 - (-1 - -11 - 1). Let g be ((0\/(-2))\/2)\/2. Let t be b\/(-78) + ((-22)\/(-6) - g). Solve -j = -t*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 0*d + 0*d**4 + 0*d**3 + 1\/40*d**6 + 0 + 10*d**2 - 2\/3*d**5. Find the third derivative of g(a) wrt a.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7934995921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -632 - -635 - (-3 + 2 - -1 - -24)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -5*v**3 + 13780*v**2 - 164820*v + 493920 = 0?\nAnswer: 6, 2744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 130848 and 4541516?\nAnswer: 108996384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -8\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4690.\nAnswer: 2, 5, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 621110718 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 77472 and 240?\nAnswer: 387360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 241, 864, 1907, 3376, 5277?\n\"Answer: a**3 + 204*a**2 + 4*a + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19939 and 942?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 55, 165, 333, 565, 867?\nAnswer: 1245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92919\/18*-3*(-7 + 5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-22041)\/(-31)*(-10)\/(-3). Is ((-3)\/9)\/((-10)\/j) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3 = 0, 5*p + 2*o - 2377 = 3*o. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 0 (c) 2 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(198) + (sqrt(198) - (1*sqrt(198) - sqrt(198))) + sqrt(198) - sqrt(198))\/sqrt(9) + 3*sqrt(88))\/(1*sqrt(10)\/sqrt(125)*-5))**2.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-175)\/70*(-16)\/5*6\/(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -375, -361, -331, -279, -199, -85, 69?\nAnswer: 269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.9 - 2. Let w = -0.3 + 0.5. Let p = w + n. Which is the nearest to -1\/4? (a) p (b) -1\/4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -24*u + 92. Determine g(7).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*q = -3*q + 36*q. Let a(w) be the third derivative of q + 17\/30*w**5 + 0*w**4 + 0*w**3 + 0*w - 6*w**2. Let b(n) = -2*n**2. Give a(b(y)).\nAnswer: 136*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 0, 7, 16?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 6*b**2 + 203*b + 368. What is q(-32)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a kilogram in grams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15613 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2698*l. Let y(v) = v**2 + 697*v. Give y(m(x)).\nAnswer: 7279204*x**2 - 1880506*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*t**2 - 3*t**2 + 8*t**2 - 2*t + 33*t**2.\nAnswer: 5*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56044 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 10 = -5. Suppose -30 + 9 = -l*m. Calculate the remainder when m is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vsvv when four letters picked without replacement from {v: 14, s: 4}.\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 3:38 AM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 690?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*k + (-1 - 3 + 2)*(-2 + 2 - 2*k) + k - k + 2*k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1688 and 0.437?\nAnswer: 737.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 14.6. Which is the nearest to 0? (a) t (b) -76 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + -7 - 1) + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 - 0.3. Let r be -1 + (-9)\/8 + 2. What is the third smallest value in r, q, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.5, -1, -5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 0*j**2 - 3*j**2 + 5*j**2. Let n = 11 - 9. Let c(i) = -4*i + n*i + 15*i + i. What is m(c(s))?\nAnswer: 392*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1741 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: What is the nearest to -215 in 1\/4, 0.136, 0.3?\nAnswer: 0.136","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - 2 - (-2 + 0). Let s be 2 - 206\/112 - h\/(-7). Put -1, -2\/17, 0.5, s in descending order.\nAnswer: 0.5, -2\/17, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 20 = 3*u, 5*d + 25 = 2*u - 0*d. Suppose u = -0*s + 3*s + l - 30, 5*s - 50 = l. Is s 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 {n: 1, i: 1, o: 4, v: 2}. Give prob of sequence vinv.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4045.\nAnswer: 5, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 52147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 469529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*2*((-3)\/(-15))\/((-18)\/30).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1994, -3973, -5964, -7973, -10006, -12069, -14168, -16309?\n\"Answer: -k**3 - 1972*k - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - 3e37a89?\nAnswer: -3e37a84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 222 - 132. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(304) - (sqrt(304) - (-4 + 1*sqrt(304) + sqrt(304)))**2 - (sqrt(304) + (sqrt(304) - (2*sqrt(304) + sqrt(304))) + sqrt(304) + 4))*5)*-3.\nAnswer: -540*sqrt(19) + 4869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1223118 by 15681.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.091 + 1.909. Let f = -0.05 - -1.95. Let p = f - 2. What is the nearest to o in p, -3, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-2\/3))\/n)**(3\/5)*(n**1\/n)**(-1) assuming n is positive.\nAnswer: n**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 34123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -22953, -4, 1, -2, 102 in decreasing order.\nAnswer: 102, 2, 1, -2, -4, -22953","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1 + sqrt(17) + sqrt(17) + 4)**2 - (5 + (4 + (sqrt(68) - sqrt(17)))**2).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 + -13 - 7) + 1 + -11.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+326790\nAnswer: 326789.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**14\/q**(2\/27))**44*(q*q*q**(1\/3)*q)**(6\/19)\/((q**(-8)*q)\/q*q*q*q**(-2)*q*q) assuming q is positive.\nAnswer: q**(317954\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 12394.863 to the nearest integer.\nAnswer: 12395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 2*g - 1. Is i(-3) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-26)\/y**(-43) assuming y is positive.\nAnswer: y**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 6:33 PM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 6*p - 1 = -t, 4*p - 4 = 0. Suppose -t*w + w = -360. Does 30 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 8*h**2 - 72*h + 10. Let r(t) = t**2 + t + 1. Determine -10*r(n) + z(n).\nAnswer: -2*n**2 - 82*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8930 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**4\/17 - 568*z**3\/17 - 566*z**2\/17 = 0.\nAnswer: -283, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7071, -7086, -7095, -7098, -7095, -7086, -7071?\nAnswer: -7050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 6:03 PM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -221*j + 4395. What is a(20)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/14)\/(38\/266)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkjpjjjjpjjg. Give prob of picking 1 g and 2 p.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t + 3*t**3 - 305*t**2 + 306*t**2 - 2*t**3 - 1 as o*t**3 + m*t**2 + i + y*t and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 5*w + 2*n, 0 = -5*w - n + 6*n - 20 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 910123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*c - 679 = 19*c + 385 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 17\/2 of a centimeter?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-2))\/(2\/(-37 - 3)). Let d = 8 + n. Let x(b) = b**3 + b**2 - 2*b - 1. Give x(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x + 12. Let m be y(-2). Suppose 3*i - 308 = -m*t, 0*i + 4*i = 3*t + 394. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 411001344301 + 1?\nAnswer: 411001344302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**2 - 7*l. Let x(u) = 2*u**2 - 6*u. Let n(d) = -6*q(d) + 7*x(d). Let f(h) = 4*h**2 + h**2 - 3*h**2 + 5*h**2. Give f(n(y)).\nAnswer: 28*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 + -2351154010?\nAnswer: -2351154025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -311643\/406, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -3*r - 36 + 18, -5*a + 2*r = -34. Put 5, a, -1 in increasing order.\nAnswer: -1, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 81?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i + 19. Let u be v(6). Let -1 + u - 3*l**3 = 0. Calculate l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3 - 252*a**2 + 7452*a - 34992.\nAnswer: -3*(a - 18)*(a - 6)*(a + 108)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 225383 to the power of 1\/2, to the nearest integer?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*t + 2 + 8*t + t**2 + 5*t**2)*(t**3 - 4*t**3 + 2*t**3) + 27*t**5 + 14*t**5 + 6*t**5.\nAnswer: 41*t**5 + 2*t**4 - 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 11. Let z be 8*k + 2 + -5. Let h(m) = 3*m - 7. What is h(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/13 (b) -4 (c) -17\/4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z**2 + 113*z - 2101. Determine o(17).\nAnswer: 976","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67.9 + 0.1. Let q = t - 68.2. Let s = -0.7 - -3.7. Which is the nearest to q? (a) -4 (b) s (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2057\/4 + 606831\/1180. Suppose -12*i + 14*i = 62*i. Is i at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -1, -3 in increasing order.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 18*j + 1. Let z be f(1). Let o = z - 46. Let q be (6\/o)\/(5\/(-15)). Which is the third biggest value? (a) -0.1 (b) q (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -84*a**2*r**4 + 2*a**2*r + 2*r - 4 wrt r?\nAnswer: -1008*a**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tictwticwttbitb. Give prob of sequence wbb.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56507608 + -56507601.0999942. Let j = h - 6.9. Round j to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267980 + 63552 - 94451 + 8*z**3.\nAnswer: 8*z**3 - 298879","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 92725, 95462, 98199, 100936, 103673?\n\"Answer: 2737*f + 89988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f - 6. Let v be l(-6). Let r = 6 + v. Let p be 14\/(-4) + r\/12. Which is greater: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 7) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-5) + (-36)\/45\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j - j**3 + 53*j**2 + j**3 - 10*j**3 - 52*j**2 + j**3 to g*j**2 + w + m*j**3 + t*j and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1290961 is divided by 6487?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 705 + -697. Is 0 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g - 7. Let m be s(-11). Let z be m*(2 + (-15)\/7). Which is the nearest to -0.1? (a) 0 (b) z (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence au when two letters picked without replacement from {s: 6, x: 3, l: 6, q: 1, a: 1, u: 1}.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from orrond. What is prob of picking 2 r and 1 n?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 155297 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 8*d**2 - 20*d - 20. Let g(r) = -r**3 + 2*r**2 + 22*r - 5. Suppose 4*n = -7*n - 44. Let c be g(n). Let o(q) = q**2 - 3*q - 3. Give c*a(p) - 20*o(p).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = z - 6*z. Let y be (3\/2)\/(2\/12). Let x be 2\/(-4) + y\/(-2). Sort x, 4, z in descending order.\nAnswer: 4, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4 - 1 - 2*q**4 + 113*q - 10*q**2 - 114*q wrt q?\nAnswer: -24*q**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*k = -3*h + 355, 4*k - 184 = -2*h. Suppose h = -0*j + 2*j. Calculate the greatest common factor of j and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9820, -19458, -29086, -38698, -48288, -57850, -67378, -76866?\n\"Answer: p**3 - p**2 - 9642*p - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -1, 1\/6, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -2*l**6\/45 - 77*l**5\/15 - 33*l**4 - 734*l**3\/9 - 292*l**2\/3 - 309*l + 1. Solve h(g) = 0.\nAnswer: -73, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107873396 is divided by 3309?\nAnswer: 3305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z + 2 - 2 + (-53*z + 42*z + 26*z)*(-6 + 8 - 6).\nAnswer: -61*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260151 is divided by 1341.\nAnswer: 1338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -926\/7 in -0.1, 1\/3, -4, -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20010770 to the power of 1\/2, to the nearest integer?\nAnswer: 4473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 104\/3 + 10\/30. Suppose -5*j + h = -5*r, 0 = 4*j - 3*r - 17 - 10. Solve 2*x - 12 = j*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 88, 1, 1692, -3 in descending order.\nAnswer: 1692, 88, 13, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/9289467 and -85\/541134.\nAnswer: 55736802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*k + 52 = 207. Let o(x) be the second derivative of -8*x + 0 + 7\/30*x**6 + 0*x**4 + 0*x**3 + 0*x**k + 2*x**2. Differentiate o(b) with respect to b.\nAnswer: 28*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 110 + -56. Let a = 56 - u. Solve a*s = -s - 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/28 - 2116\/(-7). Suppose -s = -5*i + 3*h, 5*i - 43 = -h + 243. Suppose 20 = -3*k + 4*k. Calculate the remainder when i is divided by k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -51, -177, -429, -849, -1479, -2361, -3537?\nAnswer: -5049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fubbubdhkdkkdkkbkh. Give prob of sequence ukfb.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - -6) + (-13 - (-22 + 5)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1657437 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: Let i be 18\/16 - (-6)\/(-48) - 14. Is (-12 - i)*(1 + -1 + 23599) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 716, 681, 642, 599, 552?\n\"Answer: -2*g**2 - 29*g + 747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 123.348 millilitres?\nAnswer: 0.123348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(104)*-5 + sqrt(104))*2)\/(sqrt(8) - sqrt(8)*-1*4))**2.\nAnswer: 832\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -7*g**5\/30 - 7*g**3\/6 + 3*g**2. Differentiate h(u) with respect to u.\nAnswer: -28*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-24) - 3*1.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 934 by -24086.\nAnswer: -467\/12043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3.2, 75410, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*m - 6*m. Is (-2443)\/(-1)*(m - -11 - 5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, x: 11}. What is prob of picking 4 x?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-209)\/(-418)*(-28)\/6*21\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 16*p + 32. Give r(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 683721 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1065.1 + 1065. Let r = 634 + -633.900034. Let k = r + h. What is k rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 4*h**3\/3 + h**2\/2 - 7. What are the prime factors of s(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 11:56 AM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -6192?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1330330001 (base 4) to base 12\nAnswer: 208195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**4 + 25*v**3 + 15*v**2 - 45*v.\nAnswer: 5*v*(v - 1)*(v + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x - 1. Let v be (-4 + 6)\/(4\/8). Let t be o(v). Suppose -5*y + 66485 = t*r, -5*r - 6133 = -2*y + 20492. Round y to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 202? (a) 3 (b) 52 (c) 0.005 (d) 5 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 less than or equal to -3\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiiiii. What is prob of picking 4 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2 - 113*r + 787. What is m(7)?\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 2*r + 1. Let j(p) = 30 - 2*p - p**2 - p - 29 + 2*p**2. Let o(x) = -6*j(x) + 7*m(x). Let f be o(-2). Which is bigger: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 412327, 824179, 1236031, 1647883?\n\"Answer: 411852*k + 475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 545 - 10897\/20. What is the common denominator of -59\/10 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -132 + 251. Let n = -69 + f. Calculate the remainder when n is divided by (-1)\/(-1) + 0 + 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 3*c**2 - c + 11. Let g be r(0). Is 15 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.1620898 millimeters?\nAnswer: 162.0898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-5 + 1*(1 + sqrt(252) + 5 - sqrt(252) - sqrt(252)) + (sqrt(252) - -6*-2*sqrt(252)) + 4 + -1 + sqrt(252)))**2.\nAnswer: -528*sqrt(7) + 30508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*l + 14 = -85*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -528 - 257. Let z = 234 - k. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2315 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 12\/7 (b) -4 (c) 2\/21 (d) 32 (e) 10 (f) 0.2 (g) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 79 or -14?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 15*w + 350. Calculate the lowest common multiple of 10 and u(-18).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29 and 269207.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4*d + 3)*(-1 - 2 + 2)*(-2*d**2 + 3*d**2 - 5*d**2)*(-2*d - 3 + 3)*(-4 + 4 + 7) in the form u*d**2 + j*d**3 + i + a*d**4 + s*d and give a.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/85 != -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1010535 is divided by 1472.\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 366657544?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224270 + 2100907 = 7*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((-1*sqrt(4320) - sqrt(4320)) + sqrt(4320)) + sqrt(4320)*1*-6)\/(sqrt(600)*2*-6*6).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - l + 1. Calculate g(-5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 16939, 17612, 18247, 18826, 19331?\n\"Answer: -3*q**3 - q**2 + 697*q + 16246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u + 5*u - 2*u - u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9204 - -9206. Let x = 3 - 0. Suppose -2*k + 310 = -h*p - x*p, -644 = -4*k + 4*p. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 25 (b) -2\/7 (c) 20 (d) 0.5 (e) -0.06 (f) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 19998517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(76) + 1)*4 + 2.\nAnswer: 14 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23411553 (base 6) to base 11.\nAnswer: 460513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 214, 224, 248, 292, 362, 464?\n\"Answer: a**3 + a**2 + 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46176641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 145899 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s*s*(s\/s**(-2\/5))\/s*s*s*s)))**(2\/37)\/(((s**(-2)\/s)\/s)\/s**(-2\/11)))\/((s**(1\/4))**(1\/4))**44 assuming s is positive.\nAnswer: s**(11071\/8140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*w = -61*w + 174 - 60 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -244199*p + 1465168. Determine w(6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*sqrt(13) + sqrt(13) - (sqrt(39)\/sqrt(3) + 5).\nAnswer: -6 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/9 + 95215*p**3\/9 + 4479523*p**2\/3 + 631820389*p\/9 + 9900145988\/9.\nAnswer: -(p - 95356)*(p + 47)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1378289 at least as big as -1378293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 z when three letters picked without replacement from sddssdz?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1\/x)**23)**6\/((x**(-1))**(8\/17)*x**(2\/17)*x**(-2\/17)) assuming x is positive.\nAnswer: x**(8\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2196?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10915 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p. Suppose 56*y + 6705 = 71*y. Let w(v) = -447 + 93*v**2 + y. Give w(q(s)).\nAnswer: 372*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -0.1, -0.12 in decreasing order.\nAnswer: 21, -0.1, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 360\/(-56) + 7 + (-34)\/(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116207283 minus 68?\nAnswer: 116207215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6 and -2\/47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -51 in descending order.\nAnswer: 3, -4, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 1, -1\/4, -11 in descending order.\nAnswer: 4, 1, -1\/4, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -366 + 386. What is the greatest common factor of 340 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-1\/4)*o))**19\/(((o\/(o*o**(2\/5)))\/o*o)\/o)**22*o\/(o**6\/o)*o**(-9)*o**5\/o*(o*o**(-4))\/o assuming o is positive.\nAnswer: o**(451\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 1 + 44*a - a - 5*a. Let x be q(1). Calculate the highest common divisor of x and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -10*j + 11. What is n(3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 178759860.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29220?\nAnswer: 2, 3, 5, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -933, -1867, -2803, -3741, -4681, -5623?\n\"Answer: -u**2 - 931*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 235 = -20*y. What is the highest common factor of y and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p + 7*p - 12 = 2*u, 2*u = 4*p - 18 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/14 - 6\/42.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1783165 is divided by 1077.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58.35 + 60. Let m = 1.5 - j. Let s = -2.15 - m. What is the closest to -1\/2 in 3, s, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**4 + i**3 - i**2 + i - 2. Let o(j) = -47*j**4 + j**3 + 345*j**2 + j - 2. Let n(b) = g(b) - o(b). What is the third derivative of n(w) wrt w?\nAnswer: 1080*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 380404871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7883 and 1.37.\nAnswer: 10799.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-1\/14)*t*(t**(2\/3)\/t)\/t*t)**32)**10)**10 assuming t is positive.\nAnswer: t**(116800\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(294) + sqrt(384)*1)\/(sqrt(128) - (sqrt(128) - sqrt(128)*1)*-3).\nAnswer: sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14205 (base 6) in base 11?\nAnswer: 1754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l + 10. Let q = 16 - 24. Let y be t(q). What is the units digit of y - ((-3 - -2) + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -4*h - 36, -5*j + 8 = h - 8. Suppose -3*f - 5*g = -2*f + 20, 0 = -j*f - g - 23. Let a = -1.95 + -0.05. Put f, -4, a in decreasing order.\nAnswer: a, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 857.522474 + -857.5. Round q to 3 dps.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1224363 - 6141257\/5. Which is smaller: -3887 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 2*y**2 - y + 2. Let g(o) = o**3 - 4*o**2 - 6*o + 2. Suppose 2*f = 3*f - 36. Suppose -f*v = -34*v - 10. Let q be g(v). Give r(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -9*r + 7. Let p be k(2). Let b be 100\/55 - 2\/p. Suppose 0 = z + w + w - b, 0 = 3*w + 12. What is the least common multiple of z and 62?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 107 or -7521?\nAnswer: -7521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5734339 is divided by 1284?\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1805, 7570, 17235, 30818, 48337, 69810?\n\"Answer: 3*o**3 + 1932*o**2 - 52*o - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j**2 - 94*j**2 - 20*j**2 - 50*j**2 - 22*j**2 to the form i*j**2 + n + k*j and give i.\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000680798 rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -306142, -612286, -918432, -1224580, -1530730, -1836882?\n\"Answer: -b**2 - 306141*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dxdnfddxfndffnnfffx. Give prob of sequence xffx.\nAnswer: 7\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -74 - 69) + -26 + 0.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1115307 + 120*w**3 - 1115304 - 33*w**3.\nAnswer: 87*w**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*x**3 + 12*x**3 + 25*x**3 + 25*x**3.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2120210012 (base 3) to base 9.\nAnswer: 76705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -373*h**2 + 7*h - 15*h + 8 + 8*h.\nAnswer: -373*h**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.79 - 3.19. Which is the smallest value? (a) -0.5 (b) n (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 7. Suppose 0 = -4*j + 5*h - 15 - 35, -j = -5*h + 20. Let y = j + 9. Sort y, 4, n in decreasing order.\nAnswer: n, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -5*t**2 - 3*t - 4. Let a be r(-3). Let x = a - -102. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a + 1. Suppose u + 8 = 5*c - 2*c, 4*u - 3*c = -59. Let m = 22 + u. Determine k(m).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 879.4949ug in tonnes?\nAnswer: 0.0000000008794949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2055 and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 321\/104 + -51\/26. Let x = 1\/24 + v. Let j be (-21)\/(-9) - (-1)\/(-1). Sort j, x, 0.3, -0.4 in descending order.\nAnswer: j, x, 0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*u - 145. List the prime factors of u.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4218076?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - 2*v + 8 + 6, 0 = -2*s - 3*v + 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 0.0031.\nAnswer: -0.00124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*m - 175 = -1161 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/11 - 3898*j\/11 + 12428004\/11.\nAnswer: -2*(j - 1702)*(j + 3651)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 10*x**2 - 11*x + 12. Let f be z(-9). Let y = f - 16. Suppose -p = -0*p - y. What is the remainder when 27 is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*q = -13, -4*q = 5*p - p - 28. Suppose 0 = p*t + t - 275. Find the third derivative of -3*h**5 + 55 - t - 21*h**2 wrt h.\nAnswer: -180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-326 - 321 + 546)*(-1 - 2 + 1)*(-2*b - b + b).\nAnswer: -404*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 182*h + 1281. Let m(p) = 37*p + 255. Let w(d) = -14*m(d) + 3*z(d). Give w(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 32449 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -k**6\/120 + 7*k**5\/60 + k**4\/12 - 2*k**3\/3 + 2*k**2. What is the remainder when 39 is divided by u(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1235083277 is divided by 4084.\nAnswer: 4081","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 17, q: 1}. What is prob of picking 1 q and 2 u?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13088, 394, 0.\nAnswer: 0, 394, 13088","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -y**3\/5 - 3014*y**2\/5 + 861071*y\/5 - 511212 = 0.\nAnswer: -3277, 3, 260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*(n*n\/(n*n\/((n*n*n\/n**(1\/6)*n)\/n))*n*n)\/n)\/(n*n**(-2\/17)))\/(n**(-1\/4))**(-27))**(-2\/9) assuming n is positive.\nAnswer: n**(571\/918)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 61393159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4411 - -10385. Is 5976 at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-12)\/9 - (-82)\/(-48).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 554*t**3 - 36*t**2 + 9*t + 75. Let m(q) = 184*q**3 - 13*q**2 + 3*q + 25. Let a(n) = -6*h(n) + 17*m(n). Is a(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 206\/(-14) - (-8)\/(-28). Calculate the least common multiple of ((-2)\/6)\/(4\/(-12)) and -2*1\/(6\/s).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -20 - 0. Solve r + 5 - k = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 228904 and 387004?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in six fifths of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 188*w**2 + 775*w + 1363. Give z(-192).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 391 - 426. Let w be (-70)\/(-3)*((-195)\/y + -3). Calculate the greatest common divisor of 100 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.147 + 67.147. Let u = -68 + v. Let w be 2\/(-7) + 144\/357. Which is the closest to u? (a) w (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 3*d + 5. Suppose -24 = -r - 3*r. Suppose -x - r = -2. What is the remainder when v(x) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 90\/67 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -398*n = -8*d + 217*n - 610*n + 48, 5*n = -40 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(3\/4))\/(t\/t**(-9))*(t\/(t**(2\/9)*t))**32)**(-20\/9) assuming t is positive.\nAnswer: t**(2765\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**3 - 2*j**3 - 4*j**3 + (0*j + 0*j - j**2)*((-j + 1 - 1)*(2 + 0 - 4) - 4 + 13*j + 4).\nAnswer: -19*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/2388 and -15\/796.\nAnswer: 2388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1961396 divided by 59.\nAnswer: -33244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c - 3. Let u(s) = -16*s + 34. Let y(t) = -20*r(t) - 2*u(t). Suppose -3*o = 2*o - 40. Let f(j) = j - 1. Calculate o*f(b) - y(b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k**3 - 2*k**2 + 9*k + 1. Let d be b(4). Find the third derivative of -62*o**2 - d*o**6 + 84*o**6 + 308*o**2 wrt o.\nAnswer: -13560*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1586 is divided by 725.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 362477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14841 and 5508?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + l + 3 = 0, 5*w - 19 = 5*l - 4. Let i(m) = -m**2 + m - 29. Let x be i(w). Let v = x - -35. Solve 5*o + 5*s - 10 = 0, -o + v*o = 4*s - 17 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 * 16\nAnswer: 1.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2022 + 2059. Solve 9 = 34*p - v*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6905102 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 6174 = -3*r, -10*x - 2057 = -11*x + 2*r. Is 71 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2320268768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6 - -9) + (-2 + 1)*1. Let i(l) = -181*l + 4*l**2 + 183*l - l**3 - 8 - 2*l**2 + 4*l**d. Determine i(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xs when two letters picked without replacement from {p: 3, w: 3, s: 1, x: 2, r: 2, f: 7}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, -0.03, -1\/3, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -284, -489, -700, -917?\nAnswer: -1140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p. Let x be 0 - 0 - (-2 + 27). Let v(j) = -5*j - 25. Let u(o) = o + 6. Suppose 4*a = 7*a + 18. Let y(z) = a*v(z) + x*u(z). Determine r(y(c)).\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -56*p**2 - 140*p**2 - 243*p**2 + 8*p - 8*p as n + l*p**2 + u*p and give l.\nAnswer: -439","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a - 6. Let y be z(10). Suppose -y*n + 87 - 35 = 0. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 50 = r - 4*r, -5*v = 5*r - 300. Let h = 218 - v. List the prime factors of h.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -5*k**3\/3 - 15*k**2 - 45*k - 15. What is u in d(u) = 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7838705 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 332*m + 205. Let g(k) = -1326*k - 822. Let u(f) = 4*g(f) + 15*j(f). Differentiate u(c) with respect to c.\nAnswer: -324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 1257354.\nAnswer: 5029416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -h - 3*g + 3, 5*h - 2*g - 15 = 0. Suppose 1 = -2*b + h*b. Suppose -k + 12 = b. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g + 9. Let x(o) = -7*o - 17. Determine 3*x(y) + 5*z(y).\nAnswer: -y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*y**3 - 3)*(2 + 2 - 7)*(-5*y + 8*y - 29*y)*((3 - 4 + 3)*(0 + 2 + 0) + 24 - 428 - 36).\nAnswer: -68016*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4799977mg in kilograms?\nAnswer: 0.0000004799977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 339*w**2 + 631*w + 17390. Give y(341).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -147 + 141 + (-8 - -4) + (-5 - 5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25584.\nAnswer: 2, 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-8))\/h)**(-45)\/(h**(-2\/17)*h**(-5\/3)\/h) assuming h is positive.\nAnswer: h**(18502\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3299*a**3 + 1449*a**2 - 5*a. Let x(u) = 1649*u**3 + 725*u**2 - 2*u. Let h(c) = -2*i(c) + 5*x(c). What is the third derivative of h(k) wrt k?\nAnswer: 9882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -452, -1419, -2302, -2507, -1440, 1493?\n\"Answer: 99*n**3 - 552*n**2 - 4*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 42?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 692783477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0*f - 2*r = -1704, -f + 1707 = r. Let o = -2496 + f. Let j = 1145 + o. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t - 2. Let y be b(7). Suppose 5*z + 26 = -2*q, 0 = -y*z - 0*z - q - 23. Let m = 6 - 8. Put z, m, 5 in decreasing order.\nAnswer: 5, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*180\/27*(-5)\/(75\/(-27))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4230447120 take away -19.163?\nAnswer: 4230447139.163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-96)\/60 + ((-24)\/10 - (-5)\/5). What is the smallest value in -46.3, -4, r, 2?\nAnswer: -46.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -76 + 75.4. Let j = 0.3 + x. Let b = -0.255 - -0.105. Sort b, j, -1 in decreasing order.\nAnswer: b, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*q = 97*q - 114270. List the prime factors of q.\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3))**(36\/7)*(k**(-2\/3)*k)**(-48) assuming k is positive.\nAnswer: k**(-220\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9894 - 9847. Solve 5*m - s + 12 = 0 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -82, -332, -748, -1330?\n\"Answer: -83*w**2 - w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -58, -51, -34, -1, 54, 137, 254, 411?\n\"Answer: a**3 - a**2 + 3*a - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 5*d**2 - 5*d + 5. Let q be z(2). Suppose 7 = 2*w - 3*v, 11*v = 6*v - q. Which is the second biggest value? (a) 3\/8 (b) 8 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 251.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -81446+-47492\nAnswer: -128938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8199532.06 rounded to the nearest 100000?\nAnswer: 8200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*n = -2759 - 4312, -n + 9428 = -4*d. Let y = -1468 - d. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 12) + (12\/(-7) - -2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83435 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -420.47556.\nAnswer: -418.47556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -w**7\/14 - 5*w**4\/6 - 104*w**3\/3 + 378*w. What is the second derivative of c(q) wrt q?\nAnswer: -60*q**3 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*k = 203*k - 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5647167)\/109124*(1 + 26\/(-18)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 335 and 201?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6719? (a) -0.3 (b) 0.066 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 4:06 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 55*v**2 + 3*v - 3. Let f be x(1). Let n = f - 50. Solve 4*y + 0*y = n*k - 24, k + 3*y - 1 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 45, 263, 625, 1131?\n\"Answer: 72*h**2 + 2*h - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a gram in milligrams?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -h**5\/5 + 5*h**4\/12 + 3*h**3\/2 + 5*h**2\/2 - 17*h. Let r(j) = -6*j**3 + 8*j**2 + 14*j + 8. Calculate 8*i(c) - 5*r(c).\nAnswer: -2*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -206, -803, -1794, -3173, -4934?\n\"Answer: m**3 - 203*m**2 + 5*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, 5, -2838, 3 in descending order.\nAnswer: 51, 5, 3, -2838","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1482894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -3, -1, 27 in decreasing order.\nAnswer: 27, -1, -3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1007095 and 2.6.\nAnswer: 2618447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22237923 is divided by 4145?\nAnswer: 4143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14450205503 - 4?\nAnswer: 14450205455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 720 is divided by 211.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5731949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20566 and 2912.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jqjmjqjtqyjtqyqj. Give prob of picking 1 m, 1 t, and 2 y.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - sqrt(12)\/sqrt(54)) + -3.\nAnswer: -3 + 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v - 5. Let m = 290 - 278. Suppose 14*l = -m*l + 4*l. What is p(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2 + 4. Suppose -k*g + 0*g - 6 = 0, -a + 3*g = -62. List the prime factors of a.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pggypgygpyyg. Give prob of picking 1 y and 2 g.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 432 + 1246?\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 40 = -5*g, 4*g - 24 = -2*w - 4. Let c be 2*w*(-48143)\/(-62). Round c to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/7, 5\/3, 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - (3 + -1))*(10 - -2). Let h = i + -10. Solve y + h + 1 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 139 - 5*z**2 - 10*z**2 + z**2 + 0*z**2 - 58 to b + s*z + n*z**2 and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*b = -10*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 59\/6 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((2 - 5)\/9*-3). Let y(c) = 2 - k + 2*c**2 + 6*c - c**2 - 5*c. Give y(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 940 = -5*z - 2*i, 0 = 5*i + 15. Let l = -1335\/7 + z. Determine h so that 1\/7 - l*h + 1\/7*h**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 + 2*m. Let t(v) = 6*v**3 - 4*v**2 - 4*v - 7. Give 2*s(d) + t(d).\nAnswer: 6*d**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 650993325.\nAnswer: 3, 5, 17, 510583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*w + 47*w - 3*w**2 - 21*w.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 3*g + 224, -2*g - 59 = -b - 22. Suppose 3*c - b = -25. What is the highest common divisor of 42 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -2. Let m = -3.1 + z. What is the second smallest value in m, -0.2, 2\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000000991 to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5 + -3 + ((sqrt(242) + sqrt(242) + 0)**2*2 + sqrt(242) + ((sqrt(242) + -1 - sqrt(242))*4)**2 - (-2 + sqrt(242) + 0)*3).\nAnswer: -22*sqrt(2) + 1955","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -93238832019 + 0.08\nAnswer: -93238832018.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/4 and -37\/422.\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -12, 0.5, 1 in ascending order.\nAnswer: -12, -0.2, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*m - 37447 = -3125*m + 117977 for m.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t = -2*t - 9*t + 16 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 22*w + 245. Let k(f) = -15*f - 163. Calculate 8*k(d) + 5*q(d).\nAnswer: -10*d - 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (837\/372)\/(5\/(-52))*95\/57?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -7*r**4 - 2*r**3 - 3*r**2 + 3. Let o(u) = -2*u**4 - u**2 + 1. Let w(i) = 12*o(i) - 4*p(i). Factor w(b).\nAnswer: 4*b**3*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47164 (base 13) to base 9\nAnswer: -217134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 31*i**2 + 21*i + 75. Calculate v(-11).\nAnswer: 2264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*n - 4*h + 8, 5*n + 5*h - 15 = 0. Suppose -2*d - r = d - 976, r = n*d - 1306. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 5*d**4 + 13340*d**3 + 9345950*d**2 + 589668060*d - 599027355 = 0.\nAnswer: -1299, -71, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 55*(-85)\/(-74800)*-48\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 25365 (base 15) to base 7\nAnswer: 1003430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (1 - (12 - 8 - 4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2401474 is divided by 1200705.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4525295*j**3*o**3*p - 35*j**3*o**2*p - 4184*j**3*o**2 + j wrt o.\nAnswer: -27151770*j**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177044.\nAnswer: 2, 7, 6323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - 9*x**2 + 8*x - 1. Let l(r) = 2*r + 2. Let c be l(-6). Let f be s(c). What is the greatest common factor of 19 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 26?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 114\/399 - (-23)\/(-7). Let c(h) = -14*h. Let y(r) = -14*r. What is s*c(k) + 2*y(k)?\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 591 and 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n - 4. Let t = 60 + -56. Let j = -1 + 6. Let k(l) = 4*l + 5. Let p(q) = j*r(q) + t*k(q). What is p(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 8*c**2 + 5. Let f be v(8). Suppose f*t + 9 = 34. Factor -22*w**3 - 12*w**2 + 4*w**2 + w + 18*w**t + 12*w**4 + 4*w + 3*w.\nAnswer: 2*w*(w + 1)**2*(3*w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46280)\/3293 + 42\/3?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2\/83)\/d*d**(2\/39))**(-14) assuming d is positive.\nAnswer: d**(-1232\/3237)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m - 4*m = 2*w + 261, 4*w + 76 = 8*w - 4*m for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l - 4*l + 6*l)*(3050 + 598*l + 1770*l - 3049).\nAnswer: -2368*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13182947*a**6 + a**3 - 48*a**2 + 16157*a - 9?\nAnswer: -1581953640*a**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2 - 20*m + 35*m + 38*m. Let d(j) be the first derivative of -j**2 + 216. Calculate d(t(n)).\nAnswer: -106*n + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 0.03556903.\nAnswer: -0.10670709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x*x**(-1))\/x))**(16\/9)\/((x**1*x)\/(x**3\/x)) assuming x is positive.\nAnswer: x**(32\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1942, -3968, -5994, -8020?\nAnswer: -10046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 1 + 2 = 0, 5*o + t + 11 = 0. Let s = 7 + o. Suppose -3*c - 3 = 0, 2*k + 2*c + 3*c - s = 0. Solve 5*v - 31 = 2*v - 4*m, -3*v + k*m = 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 3 - 2 - (-3 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 - 20*v - 84. What is a(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-13 + 15 - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*h + 23 = -s, 5*h = -5*s + 65. Suppose -h - 13 = -5*p. Let q(t) = t + 11. Let u be q(-11). Put u, -3, p in decreasing order.\nAnswer: p, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 148676 or 146894?\nAnswer: 146894","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(2\/5))**(-17)\/(a*a\/(a\/(a*a**(-1))*a)*a)**(-36) assuming a is positive.\nAnswer: a**(129\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 4 - g - g**2 - 2*g + 2*g**2. Let v be j(3). Suppose -12 = -2*s + v. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7637, -15246, -22855, -30464, -38073, -45682?\nAnswer: -53291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*x - 55*x - 29 = -5*z, z - 4*x = 1. Solve 5*c = -z*s - 10, 4 = -3*s - c - 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -5, -0.2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5887512*m**4 - 5640787 wrt m.\nAnswer: 23550048*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of u**5\/4 - u**4\/6 - u**3\/3 - 12*u. What is the units digit of q(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v - 2*d + 22, -9*v = -12*v + 10*d - 126 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 + 560*c - 19600.\nAnswer: -4*(c - 70)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 5 + (7 - (0 - -2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 42\/(-4)*8\/(-6). Suppose 5*d - 31 = -5*z + s, 10 = 2*d. Let a = 428 + -427. Solve -a = z*i - 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31681952.\nAnswer: 2, 761, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let l be (-22)\/121 - 1074\/22. Let j = 81 + l. Calculate the smallest common multiple of j and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j**3*m - 2*j**2*m**2 + 14*j**2*m + 62*m**2 + 3 wrt j.\nAnswer: -3*j**2*m - 4*j*m**2 + 28*j*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52904 and 6800?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -7 + 9 - (1 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 64613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*k**3 - k**3 - k**4 - 3*k**3)*(0 - 4 + 6) to the form y + s*k**4 + u*k**3 + v*k + h*k**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (76\/684)\/(((-15 - -8)\/189)\/((-2)\/174)).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*x, 9*p - 27 = 6*p - 5*x for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 + (5 - (9 - 26)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22.015 + 22. Put -0.1, l, -2\/3 in descending order.\nAnswer: l, -0.1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k - 8. Suppose 3*n - x = 48 + 12, 4*x + 9 = n. Let r be -3 + n\/(-2)*(-22)\/33. Let u be (-15)\/(-12)*(r - -4). Determine c(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23107740191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9703562 and 15433?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-57)\/15 - (-2)\/(-10)) + 52. Solve -14*v - q = 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - z = 13, -p - 2*z = p - 22. Let r = 12 - p. Solve -4*g + 0*g = -r for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -935.51 take away 109680?\nAnswer: -110615.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*122.674.\nAnswer: 490.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71315?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 85 - 6?\nAnswer: 7f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1376 + 3087. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 2*f = 30, -3*f = -s - 0*f - 11. Let p be (3 + 6\/18)\/(s\/6). Let y be (-1*p\/(-5))\/5. Sort y, 5, -10 in descending order.\nAnswer: 5, y, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g + 0*p + 44 = -3*p, g + 22121*p = 22117*p - 26 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*s - 2*s**2 + 0*s)*(0 + 0 + 2) + 39*s**2 + 19*s**2 - s**2)*(-2 + 3 - 4 + 2 - 1 - 2 + (4 + 2 - 4)*(-3 + 1 + 1) - 7 + 2 + 4).\nAnswer: -371*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*x = -25*x - x - 912 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 24165*c**3*v**2 - 38*c**3*v - 29935*c**3 - 4*c*v**2 + 6 wrt v?\nAnswer: 48330*c**3*v - 38*c**3 - 8*c*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 - 3*l + (-2 + 4 - 1)*(-2*l - 2*l + 3*l) + 0*l + 3*l + 0*l + (39 + 82*l - 39)*(59 + 31 - 167) as z + x*l and give x.\nAnswer: -6315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 228011650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1073, -1062, -1051, -1040?\n\"Answer: 11*b - 1084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 657071856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 3*w**2 + 2*w + 2. Let l be b(2). Let y be 11\/4 + 2\/8. Suppose l*x = -y*x + 110. What is the lowest common multiple of 4 and x?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*g + 46*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09 and 3?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w**3 + 39098250*w**2 - 39098245*w = 0. Calculate w.\nAnswer: 0, 1, 7819649","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 785 divided by -989\nAnswer: -785\/989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*l**3*t*w + 3*l**3 + l**2*t*w - 7*l**2 - 63*l*t*w + 3*w with respect to t.\nAnswer: 3*l**3*w + l**2*w - 63*l*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6222271463?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 197*q - 117*q - 1395360. What is the thousands digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rbrrbbbbbbbbbbbbrbb. Give prob of sequence rrbr.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -371433*r**4 - 66113 with respect to r.\nAnswer: -1485732*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8262 divided by -3.\nAnswer: 2754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -f**4\/24 - 3*f**2. Let g(s) = 4*s - s + 0*s. What is a(g(m))?\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 274 divide 41962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2288910 and 20670.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 262, 437, 712, 1075, 1514, 2017, 2572?\n\"Answer: -2*b**3 + 62*b**2 + 3*b + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 609934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21.1 - -21. Is o greater than or equal to 192?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert cc6db (base 15) to base 16.\nAnswer: 9e954","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 2*q + 70. Let t be (-4)\/((-64)\/28)*20. What is the greatest common factor of q and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 799433 to the power of 1\/2, to the nearest integer?\nAnswer: 894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2988239, 5976519, 8964795, 11953067, 14941335?\nAnswer: 17929599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 185683680 a multiple of 1820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18937244?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 905 - 197. Let i be w\/16 + 2\/(-8). What is the highest common divisor of i and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3600)\/(-6) - -8 - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m + 9. Let w be v(5). Let a(b) = -b**2 - 15*b + 14. Let n = 39 + -21. Calculate the remainder when a(w) is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/160590 and 191\/127260?\nAnswer: 6744780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -1\/6*g**4 + 3*g + 7 - 54*g**2 + 0*g**5 + 8\/5*g**6 + 0*g**3. Differentiate f(v) with respect to v.\nAnswer: 192*v**3 - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*t = -2*t + 47, -2*t + 58 = 4*l. Let p be l\/(-25) - 46\/(-10). Find the second derivative of -p*u - 2*u**5 + 5*u**5 - 2*u + 2*u wrt u.\nAnswer: 60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000100010101010000 - -11110?\nAnswer: 10000100010101101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(384)*1 + sqrt(384))\/((sqrt(64)*-1)\/sqrt(8)) + 2*-4*(sqrt(12) + sqrt(108)) + -3)**2.\nAnswer: 456*sqrt(3) + 17337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1)**0\/((w\/w**(-1\/5))\/w**(-8)) assuming w is positive.\nAnswer: w**(-46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v**2 + 3*v - 5. Let o(t) = 2*t**2 + 4*t - 6. Let g(b) = 3*h(b) - 4*o(b). Let w be g(4). Let f(n) = 4*n + 3. Let a be f(w). Is -1 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(42)\/sqrt(3) + 1*1*sqrt(14))\/((-4*sqrt(8)\/sqrt(4) + sqrt(2))*1)*-3 + 0.\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, -1, -2, 0, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*h + 15480 = -5*q + q, 5*h - 3*q = -3483. Sort h, 0, -3 in increasing order.\nAnswer: h, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 - 1089*h**2 - 25704*h + 172820844.\nAnswer: -(h - 339)*(h + 714)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2489 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z - 17. Let l be v(7). Let y(b) = b**3 - 2*b**2 - 7*b - 2. Let n be y(l). Sort -2, 4, n.\nAnswer: n, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 91650755 to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 15 = 4*d, 0 = -v + 3*d + 278. Let a = 283 - v. Suppose -7 - 13 = 4*k. Sort a, k, 2.\nAnswer: k, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47 + 49. Let d be (-1)\/h*(2 + -8) - 0. Suppose d*o - 7 - 5 = 0. Solve o*p = -16, 4*p + 46 - 20 = -2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/1931, 1, -7.8?\nAnswer: -7.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 2*d - 3*x + 44, 0 = 3*d - 3*x + 60. Suppose 4*h + 3*l + 10 = 6*l, 4*l = 13*h + 44. Put 0, d, h in descending order.\nAnswer: 0, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1263*j + 42147 - 81968 = 52378 for j.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9012574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (56 - 583\/11)\/((-21)\/(-34)) - 2?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-536)\/18 - (-2)\/(-9). Let m = 132 - 120. Is 18 a factor of 152\/5 + m\/a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 x when two letters picked without replacement from {d: 4, j: 4, x: 1, l: 2, q: 6}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/5)\/(33\/(-99)*6\/130)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 486 * -1.\nAnswer: -486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2944888555 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 6*m + 8 = 0, a - 7653*m + 7648*m - 12 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3163 (b) -4 (c) 4 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of u**6\/40 - 3*u**4\/8 - u**3 - 16*u**2 + 1. Let d(i) be the second derivative of y(i). Factor d(p).\nAnswer: 3*(p - 2)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 478 = 3*n, -4*n - 3*r = -2*n - 321. Find the second derivative of 9*k**2 + 5*k**2 + 162*k - n*k wrt k.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*h - 259*h + 693 = -533*h for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 - 24 - 17 + 59 = -l - 17*b, 0 = 5*b + 25 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*m = 104*m - 60 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 75, 73, 69, 63, 55?\n\"Answer: -l**2 + l + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d**4 + d**3 - 1. Let j(n) = -1242*n**4 - 6*n**3 + 164*n**2 + 8. Let c(r) = -j(r) - 6*v(r). Find the third derivative of c(b) wrt b.\nAnswer: 30240*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f - 3. Let z be s(-7). Suppose -t + z = -12. Let h = t + 69. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3067 - 3073 - (-7 + (-1 - -2) + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n + 26. Let y be i(-21). Suppose 16 = y*f - 39. Calculate the remainder when (-1 + 0)*(-5 + -37) is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45825412.\nAnswer: 2, 11456353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -10, -64 in descending order.\nAnswer: -2, -10, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1313, 4989, 11205, 19967, 31281?\nAnswer: 45153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011111110 (base 2) in base 10?\nAnswer: -766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5243706303.\nAnswer: 3, 11, 331, 480061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-58)\/5*(-5)\/2. Suppose 5*g - k + 15 = -f, 2*g + k + 12 = 0. Let j = g + 18. Solve -l = -6*l + j for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16632426 is divided by 710?\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -7*r - 2. Let w(f) be the first derivative of 15*f**2\/2 + 5*f + 182. Give 5*u(j) + 2*w(j).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 530 and 40980395.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*b**4 + 498505*b**3 - 12417630620*b**2 - 385495595580*b + 1740632569200 = 0. What is b?\nAnswer: -35, 4, 49866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*j - 36*j - 97*j as w*j + q and give w.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212486446.\nAnswer: 2, 647, 164209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 12. Suppose -l*i + i - 4*q = 7, -14 = 2*i + 5*q. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*n, -79 = 5*f - 4*n - 269. Suppose 4*k + 3*y + 104 = -y, k + 22 = y. Let m = k + f. Is m a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55 - 33. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*w - 4*w = 7533. Which is smaller: w or 85?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30488494*f**2 - 60976728*f**2 + 30488443*f**2.\nAnswer: 209*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/255 and -167\/5610.\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 4*t**2 - 3*t - 4. Let i be s(-4). Let d = i - 6. Let x = 23032 + -23035. Which is the biggest value? (a) x (b) d (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 782*t**3 - 13*t**2 - 783*t**3 + 32*t + 35 + 3*t**2. Let z be n(-14). What is the greatest common factor of z and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 652, 1458, 2254, 3040, 3816, 4582, 5338?\n\"Answer: -5*l**2 + 821*l - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -856a02 (base 11) to base 10\nAnswer: -1370811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-2*(-20)\/(-40)). Let s be (2\/3)\/((-1)\/(-3)). Solve 2*x + m*x = s for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1429186 and 6691189.\nAnswer: 147206158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*w = 52*w + 295 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 53. Let r = l - 23. Suppose w + 3*g = 15, 5*w - r = 4*w - 2*g. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 0*h = -4*m, -4*m = 20. Suppose 7*g = h*g + 3. Let j(a) = -2*a. Determine j(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7458\/(-8448)*-32 + 3\/4.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1332 - 10054213?\nAnswer: -10052551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -275 + 1000. Which is greater: r or -3\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 2:03 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 - (-24)\/(-20)) + 1\/5. Let g(j) = -j**2 + 7*j - 16. Let h be g(w). Sort -3\/4, 2, 0.12, h.\nAnswer: h, -3\/4, 0.12, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/5 (b) 4 (c) -2 (d) 11\/2 (e) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.58137732 rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1540\/(-924) + 35\/3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 is divided by (-11 + 1)*(-2)\/5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1054 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of v**2\/2 - 15*v + 2. Let m be b(9). Let k be (-4)\/m*(-9)\/(-6). Solve 4*a - w + 4 = 0, -5*a + w - 5 = -k for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + 3, -3*l = o + o for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49526 - -990287\/20. Is -13 less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1961014.22 rounded to the nearest ten thousand?\nAnswer: -1960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -393935, -393940, -393945, -393950, -393955, -393960?\n\"Answer: -5*y - 393930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmjjmjmmmmjmmmmjmm. Give prob of picking 3 j.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 + 5. Let o = 284 - k. List the prime factors of o.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (2 + -6 + 8 + 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -1. Let r(m) = -5*m - 14. Let q(k) = -5*j(k) + r(k). Let x(g) = 0 - 5*g + 2 + 6*g. Calculate 2*q(o) + 9*x(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 3, p: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 4*g - 3*g)*(-g + 2*g**2 + g + (0*g + 2*g - g)*(0*g + 3*g - g))*(0 + 4 - 1).\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 - 864*k + 7168.\nAnswer: -4*(k - 8)*(k + 224)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 d when two letters picked without replacement from kldkkkkdlkfkkfz?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yymy when four letters picked without replacement from {m: 7, h: 10, y: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l**2 - 30*l - 4. Let s be o(8). Suppose 0 = -4*b - 5*q + s, 2*q = -b + 6*q + 3. Calculate the greatest common factor of b and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -2. Let o(g) = g**2 + 33*g - 244. Let i be o(-41). Calculate the greatest common factor of i and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3322.\nAnswer: 2, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y**2 - 19*y + 4. Let i(j) = -5*j**2 + 18*j - 3. Let a = -17 - -21. Let d(x) = a*i(x) + 3*v(x). Factor d(t).\nAnswer: -5*t*(t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - d**2 + 1. Let u(z) = -4*z**3 + z**2 - 2*z - 5. Give -p(i) - u(i).\nAnswer: 3*i**3 + 2*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.28 - 1.82. Let n = -0.2 - p. Let q = n + -5.9. Sort -8, 1, q.\nAnswer: -8, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n. Let j(z) = 440*z**2. Let w(q) = -3*q**2. Let c(x) = -2*j(x) - 460*w(x). Give a(c(m)).\nAnswer: 1500*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88 divided by -6.\nAnswer: -44\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 + 1100000110110011100111?\nAnswer: 1100000110110011110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-196)\/40)\/(-7) - (14 + -17) and -71\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l + 5*l - l + (0 - 6 + 0)*(-l - 5*l + 4*l) + (0 + 1 + 0)*(-2*l - 2*l + 2*l) + (-2*l + 2*l - l)*(4 - 4 - 1) + 283*l - 385*l + 357*l.\nAnswer: 265*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45046105 (base 7) to base 10.\nAnswer: 3894133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*j - 2*q + 4, 0 = 2*q + 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5885 divided by 107?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 24 - 10)*(-18*f + 16*f - 14*f).\nAnswer: -224*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16760 is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1358289277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-2341366.\nAnswer: -702409.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 + 97890*o - 798537675.\nAnswer: -3*(o - 16315)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10091\/(-8)*(-20)\/(-6). Let n = 4211 + c. What is the common denominator of n and 79\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 919?\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-14))\/((-103)\/721)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 136 and 36596?\nAnswer: 1244264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-56)\/70*(-270)\/882. Which is the biggest value? (a) s (b) 4 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (3*(sqrt(300)*2 - sqrt(300)) - -5*2*sqrt(300)) + (1 + 2*-3*sqrt(300))*6)**2.\nAnswer: -3680*sqrt(3) + 158764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/((-1092)\/(-65))*8\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*u + 2*n = -12, 5*u - n = 78. Calculate the remainder when 31 is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 128 and 1664?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-26*c**2 - 232 + 232)*(2*c + 5 - 5) + c**3 - 3*c**3 + 9*c**3 to n + s*c**3 + v*c**2 + r*c and give s.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**0*k*k))**(-1\/19)*(k\/(k\/(k**(-6)\/k)))\/(k\/(k**(-4)\/k)))\/((k**1)**31)**(-2\/33) assuming k is positive.\nAnswer: k**(-6907\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/3 + (-2)\/(-3). Let v be 8*(b\/(-2) + 3). Let k be ((-3)\/10)\/((-24)\/v). What is the smallest value in 0.3, 2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/2679 + 13409\/18753. Which is the nearest to -0.1? (a) h (b) -11\/4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 8. Suppose 0 = m*k + 2*k. Suppose k = -4*x + 12 + 36. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -11942*f + 8669914. Calculate s(726).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, d: 4}. What is prob of sequence mmd?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2280 smaller than 2280?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28.5 + -3.4. Let w = -2.9 - q. Let o = -28.1 - w. What is the closest to 0 in 5, o, 12?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d\/(d\/d**(3\/2)))\/d)*d*d**3)**9 assuming d is positive.\nAnswer: d**(81\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -87 + 92. Suppose -c = -t - 34, -23 = x*c - 3*t - 183. Suppose -30*n = -c*n - 9. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -14*g**3. Let s be f(-1). Let v = 0 + 28. Calculate the greatest common factor of s and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 330440*l + 1205813.\nAnswer: 330440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.21099 kilograms to grams.\nAnswer: 69210.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*5\/30*6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) - sqrt(143)*-2)*-6)\/(4*sqrt(55)\/sqrt(5)) + -2 + (sqrt(1053) + 2 - sqrt(1053)) + 0.\nAnswer: -9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -9*l - 766. Calculate q(-86).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 + -35. Suppose -u + 2*u - 27 = -2*j, 4*u = -2*j + 36. Are j and v non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.051 (b) -0.4 (c) 2\/11 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 859843856 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 193.82 - -3.18. Let w = -197.4 + r. Which is the closest to -1.1? (a) w (b) 0 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47453 is divided by 114?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 136524014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17 and 170.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -220861836 by -6694.\nAnswer: 32994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112303013 + -20111?\nAnswer: 112222302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1287 = -343376*v + 343387*v for v.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 4*f**4 - 6*f**4)*(2*f + 0*f + f) + 0*f**2 + 2*f**5 + 0*f**2.\nAnswer: -4*f**5 - 9*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 7*l**2 - l - 248. Let y be x(0). Let t = y + 766. What are the prime factors of t?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.03 and 127.\nAnswer: -3.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -994*n + 1994*n - 997*n - 32 to the form p*n + b and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5983*-45998\nAnswer: -275206034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 7*n + 2. Let w be g(8). Let t(m) be the third derivative of 12*m**2 + 7\/6*m**3 - 1\/12*m**5 + 0*m + 1\/3*m**4 + 0 - 1\/120*m**6. Give t(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1563.04212 - -1563. What is b rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-87088)\/(-5800) + 174\/(-6525) - (-1 - -16)?\nAnswer: -1\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1210806.\nAnswer: 2, 3, 137, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 813635 - -e?\nAnswer: 813644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (0 + 2 - -3) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in 0, -1\/6, 5\/3, -276, 7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1596*t**4 + 673.\nAnswer: -6384*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 48012744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.07 - -1.06. Which is the smallest value? (a) 5 (b) g (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q**2. Let g(h) be the first derivative of 105*h**2\/2 + 57. Determine i(g(w)).\nAnswer: -33075*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2))**(-1\/6))**2 assuming n is positive.\nAnswer: n**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 2\/9, 2, -0.38, -1, 6, 34?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329 is divided by 34?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 2. Let r = -1.7 + 3.7. Let k = r - t. Is k at least 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6086 is divided by 400?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4+0.00830474\nAnswer: 4.00830474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, -0.2, 4\/9, -1\/12, 24, 0.09?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2*b - 3 = 3, -2*n = 2*b - 12. Put -1.1, n, 0 in increasing order.\nAnswer: -1.1, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 67987811?\nAnswer: -6798780a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*24\/5280*2*-4.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 121 and 2673.\nAnswer: 29403","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000836 rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/34 and ((-1155)\/54)\/(-7)*1 + 1.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + v**2 - 5. Suppose -3*k - 3*r + 14 = 2*k, 0 = 2*k + 4*r. Suppose -y + k = -0*y. Let j be y\/(-6) + 10\/15. Determine g(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5*h - 94, -2*c = -2*h - h - 63. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from ggggjgsosszsjjszsgff.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227393762.\nAnswer: 2, 113696881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 3*m - 1 + 5, -24 = -r + 5*m. Suppose f = r*f - 12. Solve -o - 4*u + 16 = -u, 16 = f*u for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 171, 344, 517, 690, 863?\nAnswer: 1036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mrrmrrm. What is prob of picking 1 m and 1 r?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*l + 2287 = -22*l + 463 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32 in -270, -9, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (26\/4)\/(1\/2) is divided by (21\/15)\/((-5)\/(-25)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 2982380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 6*t**2 + 7*t - 3. Let z be y(-7). Let d be 1 + 466\/276 + z. Let q = d - 1\/46. Which is the nearest to -0.2? (a) -2\/5 (b) 0.5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/6)\/((-12)\/(-450)). What is the greatest common factor of j and 275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 155014470 and 20668596?\nAnswer: 310028940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(56) - (sqrt(2016)*-1 - sqrt(56)))*1)\/((sqrt(648) - sqrt(648)*2 - sqrt(648)) + (4*sqrt(512) - sqrt(512))))**2.\nAnswer: 2800\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 79 + -77. Factor -1\/4*o**4 + 3\/4*o**3 + 0*o**n + 0 - o.\nAnswer: -o*(o - 2)**2*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1026 = 13*c - 11*c. Let t = 517 - c. Solve t*l = 3*l + 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190799?\nAnswer: 7, 97, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {e: 7, r: 5}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -775*l - 24*l**2 + 96*l + 6*l**2 + 679*l.\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/50)\/((-14080)\/3200)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7.1 (b) -1 (c) -2 (d) -8\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.7 and -491.8721.\nAnswer: -494.5721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5*w = -10755, 0*q + 2143 = q - 3*w. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.024 + -2.177\nAnswer: -1.153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -1. Let c = 0.8206 - 0.7806. Are a and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + (-16)\/5)*56250\/(-3). Round n to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7d10 + 1?\nAnswer: 7d11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*j**4 - 109973*j**2 - 10829108*j wrt j.\nAnswer: -144*j**2 - 219946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/(-1) - (6 + -11 + -2))\/1. Put 1443, b, 3 in descending order.\nAnswer: 1443, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 - 24.79. Let w = q - 0.61. Let x = w + 0.4. Which is the second biggest value? (a) 0.1 (b) x (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1979354 divided by 12.\nAnswer: -989677\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56 + 47*o - 20*o - 33*o)*(2 + 3 - 3)*(-6 + 1 - 4).\nAnswer: 108*o + 1008","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72651516 and 1596?\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -0.2, 0.15, 0.4, 1.7?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151626*0.4.\nAnswer: -60650.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12897?\nAnswer: 3, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 208645465 to the power of 1\/2, to the nearest integer?\nAnswer: 14445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9801 - 9799. Solve -f*l = l + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 597 + 580 + 124*s**2 - 23*s**2 - 1130 to the form u*s + n + k*s**2 and give k.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44.9*-880.52.\nAnswer: 39535.348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -164.5*-1.29.\nAnswer: 212.205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 6*y - 144. Calculate the least common multiple of 10 and y.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/(-35) - 10\/(-7). Let u be -10*q*7\/(-14). Let b be 72\/45*u\/2. Solve -3*i - 1 = -a + 1, 4*a - 24 = -b*i for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -342 + 332 = -5*i. What is the third derivative of 2246*r**6 - 2293*r**6 + 90*r**i + r - r wrt r?\nAnswer: -5640*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 364\/4 + 1\/1. Let q be (52\/2)\/(8\/c). Suppose 57 + q = 4*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11231 - 1313?\nAnswer: 4413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 6*p**2 - 113*p - 564. Let w(y) = 7*y**2 - 110*y - 563. Let v(s) = -5*w(s) + 6*z(s). What is the first derivative of v(g) wrt g?\nAnswer: 2*g - 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 326 divide 108975103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z**2 - 3*z + 3. Let u(l) = -5*l**2 - 5*l + 5. Let o(n) = -7*i(n) + 4*u(n). Calculate o(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25238 less than 3.85256?\nAnswer: -25234.14744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1047, 2073, 3097, 4119, 5139?\nAnswer: 6157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**13\/(d*d**13)*d**(-37)\/d**(-1\/5))**(1\/3) assuming d is positive.\nAnswer: d**(-63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -88 - 82 + 4651*z - 80 + 333 - 86 to the form m + l*z and give l.\nAnswer: 4651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - (2 + -1 + -1)) + 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - sqrt(22)\/(5*sqrt(2)) - (sqrt(11) + (sqrt(66) + (sqrt(66) + sqrt(66)*-5 - sqrt(66)))\/sqrt(6)))**2.\nAnswer: 3971\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6891.\nAnswer: 3, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.637 and -71.8.\nAnswer: -117.5366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.360226 to two dps.\nAnswer: -3.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-5))\/(-1 + -3 - -5).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + -1. Let d = o + 9. Is -1\/3 at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11922?\nAnswer: 2, 3, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -139479, -139440, -139389, -139320, -139227, -139104, -138945, -138744?\n\"Answer: x**3 + 32*x - 139512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11429 is divided by 2855?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-10)*h**(-3\/4))\/(h\/((h*h**11)\/h)*h**3*h))**(-2\/51) assuming h is positive.\nAnswer: h**(19\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 1:52 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -46*p**3 + p**2 + p + 1. Suppose -2*r + 23 = 5*g - 4*r, r = 3*g - 14. What is the remainder when b(-1) is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (14\/7 + -1)*3607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 658054, -4, -3, 4, 1, 3, 36 in decreasing order.\nAnswer: 658054, 36, 4, 3, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 370 and 829820.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3645 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 v = -1.5 + 1.3. Which is the third biggest value? (a) 2\/7 (b) 1\/35 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 8:53 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 92840 to the nearest 1000.\nAnswer: 93000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {f: 4, d: 3, m: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-3))\/((40\/11028)\/(-5)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3537 at least 3464?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-21)*952\/204?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 10*r - 13. Let d be (-2 - 8\/(-10))*-5. Suppose 3*a + d = -0*a. Let g(c) = 3*c - 4. What is a*j(w) + 7*g(w)?\nAnswer: -2*w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -350.2 to the nearest 10.\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 214 - 254 = 3*m, 3*w + m - 24 = 0 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 41*d. Let v(l) = -23*l**2 - 12. Let g(r) = 23*r**2 + 16. Let x(b) = 3*g(b) + 4*v(b). Calculate s(x(i)).\nAnswer: -943*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -26 + 31. Suppose 0 = -m - d*g + 15, 2*g + g = 9. Suppose m = -2*x - 0*x + 102. What are the prime factors of x?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.536 and 5.\nAnswer: -22.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -e1a (base 16) to base 12\nAnswer: -210a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/19080 and 37\/45?\nAnswer: 19080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a. Let k be m(1). Suppose 0 = k*x - 5*x + 1675. Let l = -815 + x. Round l to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 3*i - 8*i - 36, -5*i + 13 = -4*w. Let r = w + 11. Calculate the remainder when 9 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - z = -28, 10746027*z - 26 = 3*k + 10746026*z for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 12. Let q be 4 - (-15 + (f - 2)). Find the second derivative of -n + q*n + 8*n**3 - 3*n**3 - 4*n wrt n.\nAnswer: 30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4884438 and 8140730?\nAnswer: 24422190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 34271019?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 746 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 26395.67 meters?\nAnswer: 2639567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8\/195 + 919\/1365. Which is the closest to f? (a) -4 (b) 3\/5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 335 (base 7) to base 2.\nAnswer: 10101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -0.04 (c) -1\/26692 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.26 and 3.96.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 9*v + 4*v + 162, 5*f + 4*v + 307 = 0. Let x = 42 + f. Is x not equal to -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51 + 0 + 86)*(-4*t**4 + t**4 + 4*t**4).\nAnswer: 35*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (8 + (-78)\/9)\/(4\/(-23946)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*x + 1. Let y = 873 - 8683\/10. Find the common denominator of ((-89)\/15)\/(x\/3) and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1490606 + -1490596. Suppose 3*k - 4*l - 11 = -2*k, 3*l = 5*k - 12. Suppose 2*t = -k*i + 12, -3 - 13 = 5*t - 4*i. Solve t = -5*j - w for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p. Let y(h) = 9*h - 1. Let w(c) = 7*g(c) - 3*y(c). Let l be w(0). Suppose 3*a + a = l*j + 30, j = 2. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*g, 3*b - 5*g + 4*g = 11. Suppose 39*n - 34*n + c - b = 0, 4*c = -n + 20. What is the second smallest value in n, 20\/9, -2\/9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/5)\/((12\/(-4))\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -154*u + 157*u - u**4 + 0*u**4 + 2*u**2 as q*u + j*u**2 + i*u**3 + r*u**4 + w and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 47*l**2 - 2088*l - 75644. Determine b(-41).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 229 - 226. What is the highest common factor of i and 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -361664.8 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6805, 13560, 20313, 27064, 33813, 40560, 47305?\nAnswer: 54048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5156 - 2316. Calculate the remainder when h is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20851930 equal to -20851925?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 51079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -31, -15, 11, -1, -33 in descending order.\nAnswer: 11, -1, -5, -15, -31, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108745857352 - 108745857352 + 14*r**3 - 10*r**3.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -390*a + 1487 = 13967 for a.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4442344 (base 5) to base 6.\nAnswer: -1400225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1755181492?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from ohohhaoohhhohooooo.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 45626.919.\nAnswer: 45626.919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - y + 2*y + 4 - 4 - y + (2*y + 0*y - y)*(2 + 4 - 4))*(-5*y + 2*y + 2*y + (-4 + 0 + 2)*(2 - 2 - y)).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 0 - (0 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -479 - -519. Calculate the remainder when s is divided by 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i**3 + 3*i**3 - 9*i**3 + (-2*i**2 + 0*i**2 + 0*i**2)*(-500 + 500 + 145*i) + i**3 + 2*i**2 - 2*i**2 as r + k*i**3 + v*i + o*i**2 and give k.\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.099? (a) -14 (b) -8 (c) -3 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 9 = -37. Suppose 0 = 12*v - a*v - 43545. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11232 divided by -624\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*f*k**3 - 117839*f*k*r**6 + 2*f*r**2 - 1362*k**3*r**3 + 713130*k**3 - 8*r**2 wrt r.\nAnswer: -14140680*f*k*r**3 - 8172*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6c70 - 3?\nAnswer: 6c6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/113)\/t)**(-2)\/(t**(-23))**6)**10 assuming t is positive.\nAnswer: t**(158160\/113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aacc when four letters picked without replacement from cdccdcadcdccdcdac.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 3456\/14400*(-398)\/(-6).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 10, -60, 3 in descending order.\nAnswer: 10, 3, 2, -5, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12921443*l**3 - l**2 - l + 105043877.\nAnswer: 77528658*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - -48994?\nAnswer: 48994.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -25*b + 9*b + 16*b + 4*b**2 - 1. Let z be h(-6). Determine k, given that 12 - z*k**3 - 9*k**2 + 140*k**3 + 0*k**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14925831 a multiple of 360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -17*p - 8. Let n(r) = -6*r - 3. Let d(y) = -y**2 + 11*y + 16. Let i be d(12). What is i*w(m) - 11*n(m)?\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2113707 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -137*u - 27*u - 48*u - 497*u + 30*u. Let t(m) = m**2. What is s(t(v))?\nAnswer: -679*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 11 + -4 - 4) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14779, 0, -2, 4, 3.\nAnswer: -2, 0, 3, 4, 14779","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-230)\/460*0\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-9)*((-189)\/66 + 3).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from {a: 2, h: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of y**5\/60 + y**4\/12 - y**3\/6 + 8*y**2. What are the prime factors of x(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -160409 divided by -160409?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 595 and 1020.\nAnswer: 7140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3795 and 231.\nAnswer: 26565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6))\/((-456)\/(-144))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6063392860218 less than 0.5?\nAnswer: 6063392860218.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -52 at most -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 99803118 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 93\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -89*w**2 - 650*w + 649. What is f(1)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14586 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 6) to base 2.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 175*w**2 - 170*w + 40.\nAnswer: 5*(5*w - 2)*(7*w - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(3\/266*2\/(-1731)). Suppose -6*q - o = 328859. What is q rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -10322142?\nAnswer: -10322200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 4*a - 514, 11*m + 3*a + 2524 = 6*m. What is the tens digit of (m\/66)\/((-1)\/255)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 58.\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((1 + sqrt(147))*5 + sqrt(147) + 4*-2*sqrt(147))**2.\nAnswer: -140*sqrt(3) + 615","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqekbqckrckkccq. What is prob of picking 1 k and 1 c?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)*1)\/sqrt(10)*5)\/(((sqrt(176)*-1)\/sqrt(11))\/sqrt(4)).\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1011281480?\nAnswer: 2, 5, 11, 23, 99929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236*r - 236*r + 2*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-12) + ((-578)\/(-68))\/(-17))\/(54\/(-32)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 + 68. Suppose 4*q = 5*y + 45, 6*y = 2*q + 4*y - g. Suppose -3*w - 6 = 2*k, -3*w + 8*w + 29 = 3*k. Solve -k*x = -2*x + q for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 1449739?\nAnswer: -1449740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31282135871\/61897158 - 2\/3438731. Let g = m - -513. What is the common denominator of 37\/8 and g?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-15))\/(-26*39\/65)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + -3)*20\/(-25). Factor 6\/7*s**q + 0 + 0*s + 10\/7*s**3 + 4\/7*s**2.\nAnswer: 2*s**2*(s + 1)*(3*s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 134552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a46 + 2?\nAnswer: -a44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 55271*c**3 - 40*c + 46450561?\nAnswer: 165813*c**2 - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 58769.91 grams?\nAnswer: 58769910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*v + 17 = 0, -1 = 2*j - 4*v - 19. What is the least common multiple of 1 and ((-2)\/j)\/((-6)\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -22 - 15*c + 73 - 34*c - 41 + 6*c**2. Determine r(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u. Let d(j) = 414*j. What is b(d(p))?\nAnswer: -414*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-1608)\/(-148204))\/((-15)\/35)\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 379 = 1006. Let p be (-38)\/d + ((-60)\/(-88))\/1. Factor -1\/2*h + 0 + p*h**2.\nAnswer: h*(h - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3876 and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1\/6, -1142686.\nAnswer: -1142686, -1\/6, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of 9*k**3 + 139*k**2\/2 - 140*k. What is the derivative of b(u) wrt u?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*g + 1789*g = -49036 for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 4*y + y + 15, 4 = 3*r - 4*y. Let b be (r - -2)\/(-2)*-5. Let o = 640 + -415. Calculate the greatest common factor of b and o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9559543*z - 1810083 wrt z.\nAnswer: 9559543","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.432527 days in minutes?\nAnswer: 4942.83888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 17292602, 34585195, 51877786, 69170375, 86462962, 103755547?\n\"Answer: -p**2 + 17292596*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -2. Calculate the remainder when 12 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/15, 4, -23, 10?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 4 + 12\/1. Suppose -7*h + s*h = 1224. Which is greater: h or 154?\nAnswer: 154","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 5*j**2. Suppose -3*c + c - 5*u = 4, 0 = 4*u + 16. Let n = c - 5. Let y(l) = -5*l - n*l + 5*l + 5*l. What is y(f(d))?\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539) - (4 + sqrt(1539) + sqrt(1539)*-3) - (-3 + -3 + sqrt(1539)))*-3*-1*-3)**2.\nAnswer: 5832*sqrt(19) + 498960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*r**3 + 0 + 0*r**4 + 2\/3*r + 2\/3*r**5 + 0*r**2.\nAnswer: 2*r*(r - 1)**2*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 13 - (-2 + -5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 548 + 539 = -3*l, -l + 5*y = -11. What is the closest to l in -297, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/2205 and -76\/24255.\nAnswer: 24255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - -7 - (-1 - 15) - (25 + -2).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 618*m - 621*m = -81. What is the remainder when 772 is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/(-479 + 11) + ((-38)\/9 - -4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven halves of a millennium?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -62*x**2 - 2*x + 4*x**3 + 62*x**2 + 5*x wrt x.\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16.2 and 16702?\nAnswer: 270572.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15660862 is divided by 2726?\nAnswer: 2718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f**2 + 8*f + 6. Let r(c) = -8*c**3 - 2*c**2 + 2*c + 4. Let m be r(-1). Let l(h) = 4 + 2*h**2 - 2*h**2 + 5*h + 3*h**2. What is m*l(y) - 5*g(y)?\nAnswer: 4*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 6*l + 6. Let i be t(6). Let f = -73 - -99. Suppose f + 34 = i*g. What is the smallest common multiple of g and 28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/28 + -4*2919\/1176.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4*v + 128. Suppose 69*w = v*w - 1687825. Let f = 1267565 + w. What is f rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (-4 - -1) + 5. Let v(l) = 6*l**2 + 3*l - 4. Is v(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 - ((-53 - -29) + -11).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/1242 and -28\/11961.\nAnswer: 550206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*s + 101 = 0, 5*t + 2*s - 64 = 99. Let i = t - 18. Let y(u) = -u + 27. Calculate the remainder when y(0) is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 481 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3 = 4*s, -4*u + 12 = -s - 45. Suppose 0 = 5*m - 4*o - 33, o - 2*o - u = -2*m. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 285241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.017530188 rounded to 3 decimal places?\nAnswer: 1.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43\/595 - -2\/357. Let f = -12 + 14. Let u = -1 + f. Do t and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + -3)*-6*1. Let q(x) = -x**3 + 6*x**2 + 8*x - 2. Let p be q(m). Suppose -l - p = -2*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 0, -3*m - 4 = -g - 0*m. Solve -3*s - 7 = 5*c, -g*s + 0*c + c = -6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.046 (b) 0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -647830, -1296134, -1944438?\n\"Answer: -648304*y + 474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -1.4, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-5)\/v**(-4\/7))\/(v*v\/v**(2\/3)*v)**14)**(-42) assuming v is positive.\nAnswer: v**1558","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 351 divided by -190460\nAnswer: -351\/190460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 divided by -65.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 7 - 5*k + 9 + 6*k - 2*k. Let i be g(16). Suppose i = 4*j + 3*j - 28. Solve m = j*m + 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -326, 4 in decreasing order.\nAnswer: 4, -5, -326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149 + 149 - 3*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 908 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 9*q - 2. Calculate l(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((4*-5*(sqrt(102) + sqrt(102)*-4))\/((sqrt(42) - sqrt(126)\/sqrt(243))\/sqrt(7)))**2.\nAnswer: 309817\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 101618 divided by 149\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - -1 - (-135 - 5). Suppose -2*n = n - j. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 14*d + 9. Does 9 divide m(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 417808242.96 minus 375?\nAnswer: 417807867.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 1100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -2.3, 2\/7, 0.04, -0.4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*z**3 + 37*z**3 + 110*z**3 + (0 + 0 - 2*z)*(3*z + 4*z**2 - 3*z) to the form f*z**3 + r + w*z + d*z**2 and give f.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(34)\/(sqrt(2)*-1) + sqrt(17) - sqrt(17) - sqrt(17)).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1881049887?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -196499166 rounded to the nearest 10000?\nAnswer: -196500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24995895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -339 times 0.4\nAnswer: -135.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - u**3 + 10*u**2 - 4*u + 0 - 15*u**2 + 11*u**2 to the form z + c*u**2 + v*u**3 + f*u and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(209)\/((sqrt(704)*2 - sqrt(704)) + sqrt(11)).\nAnswer: sqrt(19)\/9 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64) - 1*sqrt(64)*2)\/sqrt(8))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ujcocuofjfffssoff. Give prob of picking 1 c and 1 f.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -3*y + 38 - 9, -3*y + 5*f + 34 = 0. Solve 4*c = -y*j - 29, -5*c = 6*j - 9*j + 16 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4728 + -4635. Calculate the remainder when 375 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 3 = p. Let q be (-14)\/21 + 11\/p. Let m = q + 0. Solve -m*u + 3*v + 1 - 25 = 0, -v = -4*u - 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*4*sqrt(152)*4)\/(sqrt(32)\/sqrt(4)*3*-1)*6.\nAnswer: -96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1237, 1996, 2755, 3514, 4273, 5032?\nAnswer: 5791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 6*w**2 - 6*w + 5. Let p be q(5). Suppose p = 4*n - n - 9. Let x be ((-14)\/(-5))\/(-5*(-54)\/225). Is n bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*f - 90 = -116 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-3 - -2) + -27 + 25\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.565349 millilitres in litres?\nAnswer: 0.007565349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 262 + 77 = 0. Let u be 81\/(-24)*2*(-8)\/1. Let l = u - i. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0494326 and 0.81.\nAnswer: -0.040040406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3656, 7195, 10734, 14273?\n\"Answer: 3539*p + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 378.5509 decades to millennia.\nAnswer: 3.785509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g = -11*g + 9885. Let c = g - -26443\/8. Let o = 261879\/20 + -13098. Calculate the common denominator of c and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(153)*-2)\/sqrt(9) + 2 + 5.\nAnswer: 7 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29898 - 16871. Suppose -3*l + m = -3*i + 484, 5*l + i = 20917. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/8*6*2. Suppose 3*j + 21 = 2*v, 0 = 2*v - j - 22 + 11. Suppose -2*g - l = -2*x - g, -4*g = -v*x + 35. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/10 and -18\/235?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -23377*r**2 + 46760*r**2 - 23381*r**2. Let t(g) = -49312*g - 938. Let z(b) = -263*b - 5. Let m(d) = -5*t(d) + 938*z(d). What is m(k(p))?\nAnswer: -268*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 9*a - 24. Let v be g(-5). Let w be 6*7\/(-56) + (-41579)\/v. Is (w\/(-4))\/((-5)\/10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 5. Differentiate -3 - 2*c**4 + u*c**4 + 4 + c**4 with respect to c.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-4))\/(3\/(-18)). Let r(h) = -23*h - 2. Is r(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -204\/5 (b) -1 (c) 15 (d) -74\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 238359727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**2. Let t(r) = 94*r**2 + 2*r + 2. Determine t(d(m)).\nAnswer: 376*m**4 + 4*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -46 and -72.6.\nAnswer: 3339.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, o: 11, d: 1}. What is prob of sequence od?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w**2 + 2*w - 4*w**2 + 5*w**2 + 0*w**2 - w**4 to r*w**3 + t*w + a*w**4 + k + z*w**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*d**2*l + 64701*d**2*t**2 + 118*d**2 - 3*d*l + 10*d - l*t**2 - 8*l*t - 3*l wrt t?\nAnswer: 129402*d**2*t - 2*l*t - 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 3 (b) 4 (c) -5 (d) 0.2508\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - ((41 - 19) + -3 - 32)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/4 + 310033*c**2\/4 + 308913829*c\/4 + 76826468243\/4.\nAnswer: -(c - 311027)*(c + 497)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of 0 + 23*m**2 + 0*m**3 + 1\/8*m**4 + 0*m. Let i(r) = -2*r**2 - 7*r**2 - 7*r**2 - r**2. Calculate b(i(l)).\nAnswer: -51*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 8. Suppose l*j + 3*p - 215 + 27 = 0, 0 = -2*j + 4*p + 202. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d\/(d\/d**0)))\/d)\/((d*d\/d**(-4)*d)\/d)*(d\/(d\/(d\/d**(-3\/8))*d))\/(d*d\/(d**(-7)*d)) assuming d is positive.\nAnswer: d**(-101\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*y = 17*y - 140. Suppose 5 = 4*a + u, -3*u = -2*a - 11 - y. Let p = -97 - -678\/7. Is p smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 + -0.2. Let h be 6\/(-20)*2\/6. Which is the biggest value? (a) z (b) h (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110232022 + 10?\nAnswer: -110232012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 16*s**2 + 7*s - 7. Let i(a) be the second derivative of -13*a**5\/20 + a**4\/12 - a**3\/6 - 14*a. Let l be i(1). Is p(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -15*j**3 + 2*j**2 - 2*j. Let p(m) = 119*m**3 - 22*m**2 + 56*m + 192. Let d(y) = p(y) + 8*w(y). Factor d(c).\nAnswer: -(c - 6)*(c + 4)*(c + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/8 + (-464)\/(-64). Let o = -5 + l. Suppose o*b + 1 = b, 4*b + 37 = g. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-6*(3 + 0 + sqrt(176) + 1 + 4*(5 + -1*sqrt(176)))**2.\nAnswer: -10368*sqrt(11) + 38880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from npnmmmmmpuunny. What is prob of sequence mm?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 18 = -5*w + 3, -w + 5*i + 25 = 0. Suppose w = -y - 3*h + 3, 9 = -0*h - 3*h. Suppose 3*x + x = -y. Sort 4, x, -2.\nAnswer: x, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7244659.3 - 90?\nAnswer: 7244569.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*m + 8. Are m and 1\/10 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of 3*v**5\/5 - 3*v**4\/2 + 7*v. Find the third derivative of i(j) wrt j.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 11:32 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5437217, 10874600, 16311983, 21749366?\n\"Answer: 5437383*u - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 6*s = -4*t + 19, s - 5*t = -26. Let q(i) = -112*i**3 + 3*i**2 + i - 1. Let g be q(s). Which is bigger: g or -1\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 4:40 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 10) to base 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 1. Let j = -4 - -2. Let p(o) = 179*o + 15*o**2 + 4*o**2 + 2 + 15*o**2 - 32*o**2 - 178*o. Calculate j*p(t) + 6*r(t).\nAnswer: 2*t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/18959360 and -173\/2666160.\nAnswer: 170634240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**2 + 5*m. Let a(t) = 0 - 3 - 512*t - 1 + 516*t. Let k(d) = -3*d + 3. Let y(x) = -5*a(x) - 7*k(x). Calculate -i(h) + 5*y(h).\nAnswer: 2*h**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-456)\/(-342))\/((-4)\/(-8))*12\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13074904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 2:57 PM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (116\/29)\/((-85)\/34 + (-446)\/4). Which is the smallest value? (a) s (b) -0.1 (c) -120\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 0. Let d(p) = m*p - p - 5 + p. List the prime factors of d(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 97 - 158 = 0. Suppose 8*q - 3*q = 105. Let v = r - q. What is the greatest common divisor of 10 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vsvssvsvsvvvsvvsvvv. Give prob of picking 3 v and 1 s.\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21\/2 - w**3 + 13\/2*w**2 + 5*w = 0. Calculate w.\nAnswer: -3\/2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-3)\/18*(3828\/495)\/(-58)?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, -77, -29.\nAnswer: -77, -29, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of s**6\/120 + s**5\/10 + s**4\/24 + s**3\/6 - s**2. What is the remainder when 86 is divided by z(-4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.067 - -0.143. Let h = z - 0.0714. What is h rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) 2 (c) 2975645\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*x = 61*x + p + 4, -p = -4*x - 11 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 21362*c - 3534*c - 10975*c in the form f + y*c and give y.\nAnswer: 6853","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 4:24 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 at most 200?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 4*g**2 + g + 2. Suppose y - 2*l = -19 + 66, -174 = -3*y - 5*l. Let w = 48 - y. What is the units digit of x(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*k**2 - 10*k - 7*k + 5*k - 154*k**2 + k**3 + 110*k**2 in the form x*k**3 + u + y*k + p*k**2 and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14028874661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2289)\/1635 - 21\/(-15). Let 48\/7*y - 2\/7*y**5 + x - 4\/7*y**3 + 40\/7*y**2 - 10\/7*y**4 = 0. What is y?\nAnswer: -3, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 181 + -4?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 2*a - 2. Let r(g) = -462*g**2 + 110*g - 110. What is r(m) - 55*v(m)?\nAnswer: -407*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p - 4. Let t(z) = -z - 54*z**3 + 55*z**3 - 1 + 2. Calculate -2*t(i) + y(i).\nAnswer: -2*i**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 93869 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 9:46 PM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6)\/4*(-13)\/(52\/552) is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggii when four letters picked without replacement from niignnhgggnh?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {l: 2, c: 5, u: 5, o: 5, k: 1}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 29270 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217 is divided by 186.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 6*n + 18. Let g be t(8). Let x(b) = -b**2 + 3*b**2 - 608*b + 605*b. What is x(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5769\/103 - -2799719\/50264. Let o = k - 4\/61. Suppose 3*p = f, f + 5*p - 10 = -2. Put o, -0.5, f in decreasing order.\nAnswer: f, o, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -4 (b) 2\/9 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 402.08g?\nAnswer: 402080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -8*(-2 - 5\/(-4)). Suppose -6 = -4*v + j. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 7*r**2 + 8*r - 5. Determine o(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 2*f + 3. Give a(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*r - 3*r. Let u be (-4)\/(-7) + (-256)\/56. Which is the nearest to u? (a) 2 (b) 0.5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 162 + -163. Let j = -37 - -36.9. Which is the nearest to 1\/8? (a) j (b) s (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*y**2 + 295*y**3 - 3*y**3 - 1525*y**6 + 1526*y**6 + 22 wrt y.\nAnswer: 120*y**3 + 1752","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 603 + -591. Calculate the lowest common multiple of 154 and u.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3315252399 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 66, 595, -922, 0.1?\nAnswer: 595","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1383.1 - -1344.1. Sort 2, v, 1\/2 in decreasing order.\nAnswer: 2, 1\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 989323 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -8*h**2 - 7*h + 8. Let l(a) = -a**2 - 23*a + 25. Let y be l(-24). Let j(d) = -d**2 - d + 1. Determine y*s(m) - 6*j(m).\nAnswer: -2*m**2 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2 - 5*s + 4. Let z(j) = -3*j + 9. Let u be z(10). Let w = u + 33. Let r = 7 - w. Let k(o) = 2*o**2 - 4*o + 3. Give r*k(l) + 4*h(l).\nAnswer: -2*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7235 - -7234.71. What is the nearest to -0.03 in l, 0.2, -0.5, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*x - 9539 + 4832 = -8 for x.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(5\/8)\/(r*r**(2\/51)*r) assuming r is positive.\nAnswer: r**(-577\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 14.4, 31?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/(-26))\/((-3)\/4))\/(-2)*706\/(-1412)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 255400 rounded to the nearest ten thousand?\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-4) + (-167)\/(-2). Let a be 1*-5*(-8)\/5. Let n be a\/4 - (-9 - 1). What is the greatest common divisor of n and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 37734031 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x - 3*x + x + 2*x - 2 + 2 + (1 - 2 - 1)*(3*x - x - 5*x) + 3*x - 3*x + 2*x - x + x + x - 10*x - 3 - 5*x + 16*x to m*x + d and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(5 + -1*sqrt(152)\/sqrt(392))*5)**2.\nAnswer: -4000*sqrt(19)\/7 + 497600\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -80543 less than or equal to -80542?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 202*s - 31700. Determine a(157).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42656 or -122?\nAnswer: -42656","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121021202 - -2?\nAnswer: -121021200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 14*b + 189. Let n(i) = -10*i. Determine n(c(w)).\nAnswer: -140*w - 1890","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 68 + -56. Let l = -7 + q. Which is bigger: 9\/2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-74)\/185 + (-24)\/(-10))\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 16*u**2 + 21*u - 51. What is d(-15)?\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 - -29. Let w be ((-5)\/n + -1)*-6. Let d(q) = -7*q**2 + 4*q - 5 + 13*q**2 + 2 - 4*q**2 + 5. Let a(g) = -2*g**2 - 5*g - 3. Calculate w*a(t) + 4*d(t).\nAnswer: 2*t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4622971*o - 36983768. Determine i(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4681*w**2 - 3006*w**3 - 1299*w**3 - 3154*w**2 - 107*w**2 - 1983*w**3 wrt w?\nAnswer: -37728","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*z - 54 = 0, -5*h - 3*z + 0*z = -130. Let g(c) = 2*c**2 - 6 + 45*c - h*c + 8*c. What is the units digit of g(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**2\/2 - 4062915*b + 8125827\/2 = 0 for b.\nAnswer: 1, 2708609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 267 - 272. Let q(h) = 2*h**3 + 6*h**2 - 6*h + 1. Let j be q(-5). Let y = j + 413\/6. Which is the closest to 1\/2? (a) -2\/5 (b) y (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313 a factor of 13582009?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 7*c**2 - 2*c - 9. Let q be l(-7). Suppose -q*t = -t. Find the second derivative of -9*o + t*o**2 + 0*o**2 + 3*o + 2*o**5 wrt o.\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2135 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4*j - 3. Let m(c) = -11*c + 8. Let y(g) = -8*a(g) - 3*m(g). Suppose 7*v - 3*v - 4 = 0. Let r(w) = 11*w + v - 1 - 2*w. Give r(y(h)).\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 4. Find the third derivative of j - j**2 + j - 2*j + h*j**3 wrt j.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 18.2. Is m at most as big as -1\/44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 116 + 635. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62 - 51 - 36)*(-4*v**3 - v**2 + 0*v**3 + 2*v**3) + (-11*v + 39*v + v)*(1 - 1 + 2)*(4*v - 2*v**2 - 4*v).\nAnswer: 182*v**3 + 149*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -908*h + 1820*h = 911*h - g + 7, -g = -32*h + 26 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -354*d**2 + 116*d**2 - 196*d**2 - 406*d**2.\nAnswer: -840*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18920)\/473 - (-92 + -6).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -m**3\/3 + m**2\/2 - m - 6. Let t(u) = -11*u**3 - 22*u**2 + 22*u - 22. Determine 22*f(n) - t(n).\nAnswer: 11*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -5*o + 222, -4*g = 4*o - 227 + 47. What are the prime factors of 4\/(-6)*o\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -2*s**3\/3 - 55*s**2\/2 + 944*s. What is t(-12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*r + 20 = 0. Let o(l) = -l**2 + 15*l - 23. Let g be o(13). Put g, r, -5 in increasing order.\nAnswer: -5, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 3*l - 4 = 0, -4*l - 5 = -2*b + 7. What is the first derivative of 2 + b - 7 + 2*f**3 wrt f?\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1075 and 79894.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5.574 * -139616\nAnswer: 778219.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 l, and 1 d when three letters picked without replacement from vvsssjxldvsvjj.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -9*m**4\/2 + 50*m**3\/3 - 55. What is the third derivative of q(p) wrt p?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 2*g + g + 2, 11*g = -9*i + 10*i + 18 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13 and -214167.\nAnswer: 2784171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7846 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(14319\/602)\/111?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1199929, 1199928, 1199927, 1199926, 1199925, 1199924?\nAnswer: 1199923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -18 (b) 0.5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1577\/3 - 506. Let i(h) = -h**2 + h + 1. Let s be i(3). Find the common denominator of (-1*2\/(-12))\/(s\/(-745)) and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-3 - -2 - 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 15 - 23*h - 15*h + 39*h. Let d be l(-10). Suppose -f - 4 = -d. Solve x = s + s - 5, 2*s = -x - f for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**3 + 0*u + 0*u + (-4*u - 3*u + 2*u)*(1 - 1 + u**2) + (-9*u**3 + 6*u**3 - 6*u**3)*(4 + 4 - 4)*(-7 - 1 + 2).\nAnswer: 210*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4 + 19*q**2 + 0 - 18*q**2 + q - 1. What is s(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 456 + -531.2. Let s = 75.2 + v. Which is the nearest to s? (a) -12 (b) -0.3 (c) 4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2104*(22\/60 + (-16)\/(-120)). What is the second derivative of 169 - 2*w + c*w**2 - 2045*w**2 + 702*w**2 wrt w?\nAnswer: -582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*t**3 - 28 + 28)*(0 + 0 + t)*(-4 + 2 + 0).\nAnswer: 14*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 70\/368441 + 434316899\/394968752. Let p = v - 36\/67. What is the common denominator of p and 77\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36.1 + 38. Let x = l - 1.91. Let v = 118\/45 + -20\/9. Which is the third smallest value? (a) v (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - p - 2326, -4*p - 2332 = 4*r - 5*r. What are the prime factors of r?\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 0*l + 447 = 4*z, -75 = l + 4*z. Let q = l + 120. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*c**2*w**2 + 43*c**2*w + 13613*w**2 wrt c?\nAnswer: 8*c*w**2 + 86*c*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.3 (b) -2 (c) -147\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4772993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.15 - 6.15. Let d = -31087773.0000043 + 31087767. Let q = d - v. Round q to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 169*p**2*r**2 + 5*p**2*r - 6*p**2 - 93*p*r**2 - 59*r**2 wrt p?\nAnswer: 338*r**2 + 10*r - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 433 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2 + 175*p + 263. Let w be c(-86). Let i(k) be the first derivative of 0*k + 0*k**3 - 3\/28*k**4 + 0*k**2 + 1\/35*k**w + 37. Factor i(a).\nAnswer: a**3*(a - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 - 145355*b - 145360.\nAnswer: 5*(b - 29072)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 7038.\nAnswer: 28152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 5 = 2*p + 4*y, 200*p + 5*y = 203*p - 27 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 20*k**2 + 119*k + 214. Let q be y(-6). Let a(z) be the first derivative of 0*z**3 - 4*z**q - 1\/2*z**2 - 6 + 0*z. What is a(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 228 divide 52057395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrbrrrbrbb. What is prob of sequence rb?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v = 11*v + 8967. Let i = v - 1826. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -53*y**4 + 2382 - 2382 + (0*y - 6*y + 3*y)*(5*y**3 - 28*y + 28*y).\nAnswer: -68*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a**2 + 2*a - 1. Let u(h) = -2*h**2 + 3*h. Let d(b) = 3*o(b) - 4*u(b). Let v be d(-6). Let y = -89 - -88.7. Sort y, v, 3 in increasing order.\nAnswer: v, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r**3 - r**2 + 66*r - 1. Let i(h) = h**3 - h**2 + 4*h. Determine -4*i(k) + t(k).\nAnswer: -k**3 + 3*k**2 + 50*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -1\/10*n**5 + 3*n**2 + 3\/70*n**7 - 1\/2*n**3 + 3\/8*n**4 + 0 + 0*n - 1\/20*n**6 - 1\/112*n**8. Factor k(w).\nAnswer: -3*(w - 1)**4*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or -16885272?\nAnswer: -16885272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 80, -1 in ascending order.\nAnswer: -1, 1, 4, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 41687240201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -23505738.388 rounded to the nearest 1000?\nAnswer: -23506000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 u when two letters picked without replacement from {i: 3, s: 1, u: 12}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9461033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 204*m**2 + 8*m - 4. Determine z(-2).\nAnswer: 796","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c + 2472355. Let y(j) = -6*j**2. Calculate g(y(w)).\nAnswer: -6*w**2 + 2472355","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4075, -4072, -4069?\nAnswer: -4066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of p**6\/255 - 3*p**5\/34 + 2*p**4\/17 + 28*p**3\/51 + 2*p - 113. Suppose i(n) = 0. What is n?\nAnswer: -1, 0, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/20 + (-63)\/(-5) - -1. Let p = 49 - m. Solve 0 = -3*a - 15, 5*j - 4*a - p = -5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = -4*p + 3*h + 5369, -5*h + 6705 = 5*p. Is 91 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000113179 rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 8. Let g(s) = -7 + 5 + 8 - 4*s + 3 + 3*s. Determine 3*a(o) - 2*g(o).\nAnswer: -o + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2154 - 6538\/3. Let s = 25 + p. Is s bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 - (-100)\/(-60)) + 14\/2. Which is the closest to -11\/93? (a) -4 (b) 3 (c) -5 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2 = -16. What is the units digit of (-2)\/g - (-411)\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1668*r - 13960 = -593*r + 516*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d - 6. Give h(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*c + 97 - 135 - 247.\nAnswer: -37*c - 285","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -709 - -704. Which is the closest to -0.022? (a) -0.5 (b) 2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = m - 9. Let i = 39 + -35. What is the remainder when m is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25562 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 139091?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 9*m**2 - 18*m + 8. Let d = 81 + -75. Let o be k(d). Let s = 201 - o. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - (-1 + -5)) + 3\/(-3). Let o be 0\/(6\/r) - -3. Let k(b) = -b**3 + 2*b**2 + 4*b - 4. What is k(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 6. Let v = -25 + 19. Let b be (6 + -10)\/(-1*v\/3). Sort b, h, -3.\nAnswer: -3, b, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -665.222 < -230?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 49 - 31 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -464*d + 469*d. Let s(f) be the third derivative of f**6\/120 + f**5\/10 - f**4\/24 + f**3\/2 - 5*f**2. What is s(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (8 - 75\/6)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8496\/(-40))\/59*(0 + 15\/(-12))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b**2*h**2 + 97*b**2*q**2 - 224*b*h**2*q**2 + 2*b*h**2 + 15*b*h*q**2 wrt h?\nAnswer: -6*b**2 - 448*b*q**2 + 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/105 - 4\/(-10). Let x be (-10)\/(-8)*(-24)\/(-120). Suppose -3*k - 15 = -0. What is the smallest value in x, h, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61142 times -46?\nAnswer: -2812532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*d**3 + 14*d**2 + 10*d**2 - 6*d**2 - 29*d**3 wrt d.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 540?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20506 is divided by 328.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2 + 24 + 8*w**2 - 11*w**2 - w**3. Let b be d(0). Find the third derivative of -20*l**2 + b*l**2 + 20*l**5 + 16*l**2 wrt l.\nAnswer: 1200*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 30*d**2 + 34*d + 67. Determine a(29).\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -6*b + 6. Let u(c) = -c + 1. Let t(z) = -4*u(z) + y(z). Let r be t(5). Let q(w) = -w**3 - 8*w**2 - 3*w - 3. What is the units digit of q(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 0, -3\/8, 0.2128, 1?\nAnswer: 0.2128","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1064963 to the power of 1\/2, to the nearest integer?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 628561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 q, and 1 b when three letters picked without replacement from {n: 1, q: 2, p: 1, w: 2, b: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**2 - 38542*m + 77088 = 0?\nAnswer: -38544, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -59353, -119061, -178749, -238411, -298041?\n\"Answer: a**3 + 4*a**2 - 59727*a + 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 495587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -49279520 to the nearest one hundred thousand.\nAnswer: -49300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 7575?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9343.668 micrograms?\nAnswer: 0.000009343668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 104, 149, 194, 239, 284?\nAnswer: 329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 8:42 PM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + o - 34 = 0, -68 = 3*b - 2*o - 65. Find t, given that 0 + 6*t**3 + 6\/5*t**b + 32\/5*t**4 + 0*t - 36\/5*t**2 = 0.\nAnswer: -3, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 6*y + 2. Let q = 5 - -1. Let h be k(q). What is the third derivative of n**5 - h*n**5 + 3*n**2 + 3*n**5 wrt n?\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -6. Let g = -0.27 + 0.57. What is the second smallest value in -2, g, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19169825?\nAnswer: 5, 766793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 2*n**2 + 12*n + 8. Suppose 0 = -3*p - 16 - 8. Let v be h(p). Let l be v\/(-16) + 1\/2. Calculate the greatest common factor of l and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -271*p**3 - 4*p**2 + p + 2. Let d(x) = -x**3 - 2*x**2 - x + 1. What is 2*d(l) - m(l)?\nAnswer: 269*l**3 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -7. Let p = -2.5 + s. Let t = 0.19 - 0.19. Put t, p, -4 in descending order.\nAnswer: p, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 4 - (-1 + (5 - -5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1277464\/1061 or -1204?\nAnswer: -1277464\/1061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 20. Let q(a) = 2215*a + 3592. Let u(m) = 4*b(m) + q(m). What is the derivative of u(g) wrt g?\nAnswer: 2215","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14034892 by 134.\nAnswer: -104738","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 6)*(5 + 2 - 9)*(-4*i + 2*i + i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -46*q - 48*q + 94*q - 2*q**2. Let j(m) = -7*m**2. Calculate n(j(p)).\nAnswer: -98*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 288206857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 229057879 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(95)\/(sqrt(25)\/sqrt(5)) + 5))**2*1.\nAnswer: 360*sqrt(19) + 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of 7*w**2\/2 - 19*w + 96. Let g be u(3). Solve 1 = g*q + m, -4 + 0 = 3*q - 4*m for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) - ((sqrt(84) + sqrt(84) + (sqrt(84) - (sqrt(84) - (sqrt(84) - sqrt(84)*-2))))*-6 + sqrt(84) + sqrt(84)) - sqrt(84))\/(sqrt(48)\/sqrt(4)*2).\nAnswer: 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18.35 - 13.35. Let n = -4 - -6. What is the closest to n in -3, 2, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/4)\/(1\/4) - 1. Suppose 0 = l*r + 3 + 7, 225 = 2*i - 5*r. Is i a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-770)*-20*(-5852)\/(-19)\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -95 or -108?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 - 29. Let b(z) = 7*z - 1. What is b(q)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00840588969 rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -175719*k**4 - 247637*k**2 wrt k?\nAnswer: -4217256*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u**(-7)\/u)*u)*u*u**(-3\/2))\/(u\/(u\/((u*u\/(u**(-5)*u))\/u)*u))**(-8\/7))**(-10) assuming u is positive.\nAnswer: u**(345\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 4, -6, -84, 6 in descending order.\nAnswer: 6, 4, -6, -19, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13831 is divided by 612.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -2\/11 (b) -1\/2 (c) 46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2. Let n(o) = 2*o + 0*o - 4*o + 4*o. Determine c(n(x)).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 6*t - 2. Let y = 38 - 35. Let w be b(y). Solve -2*c - 6*d - w = -d, -2*c + d - 4 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**5 - 50164*r**4 + 209819040*r**3 - 293184164384*r**2 + 2035751690816*r + 8751581730240 = 0 for r.\nAnswer: -3, 10, 4178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 5:37 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 172 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19983291 a multiple of 272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 970 a factor of 4617433007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 - 330\/45 - -2. Let n = -6.6 - -5. Let m = n + -0.4. What is the second smallest value in x, m, -0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -17*c - 172. Let j(i) = -11*i - 114. Let a(v) = -8*j(v) + 5*l(v). Let s(p) = 5*p**2. Calculate a(s(t)).\nAnswer: 15*t**2 + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 18*o + 7665 = -24*o + 223*o for o.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (-25)\/5 - 5. Sort 7, -10, g in ascending order.\nAnswer: -10, g, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w\/(w**(-2)*w))))**(2\/11)*(w\/(w*w\/(w*w*w**(1\/4)*w)))**(-33) assuming w is positive.\nAnswer: w**(-3251\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*l - 57*l = -702. Put 1, l, 0, -2, -3 in descending order.\nAnswer: l, 1, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, v: 4, d: 1, l: 3, j: 1, i: 4}. What is prob of picking 1 j and 1 d?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 10:14 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 6104*a + 12228. Determine f(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/28 and -97\/224.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10116, 10144, 10174, 10206?\nAnswer: 10240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 - 4*l - 1. Let g be f(3). Suppose g*k = 4*u + 145, 5*k + 0*u = 3*u + 140. What is the greatest common divisor of k and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q + 1. Suppose -3*u - 1 + 4 = 0. Calculate i(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, o: 7}. Give prob of sequence rrr.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, r: 3, x: 1, k: 1, p: 3, t: 5}. What is prob of sequence ra?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of w**4\/24 + w**2\/2 + 2. Let j(t) be the second derivative of s(t). Let x(f) = -f**2. Determine j(x(b)).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/8, 4, 5, 2\/9, -2\/29, 2\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2373 + 2383 - (1 + 11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccivnnvccvcicccnc. What is prob of sequence ccvn?\nAnswer: 55\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7519620.1100226 - -7519373.11. Let a = t - -247. Round a to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42 - (33 - 4)) + 24?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*o + 21*o = 350 + 70 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l**2 + 10*l - 14. Let u be p(-6). Let w = u + -65. Suppose 643 = w*b - r + 4*r, -5*r - 282 = -2*b. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 1. Suppose 4 - 5 = -x. Let v(m) be the second derivative of -m**3\/6 + m**2\/2 + 6*m - 17. Determine x*v(r) + i(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*r - 3 + 14 = 0, -3 = -r. Suppose l*p + 3*p + 5 = 0. Let u be 2 + (-12)\/56 - 2. Is u greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 3*t + 3. Let h be b(-3). Let n = -1 + -3. Let u be 0 + n*2\/(-2). Solve -u*a + 4*d + 14 = -h*a, 2*d = -a - 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - (12\/4)\/(-3). Let q(r) be the first derivative of -1\/5*r**5 - 1\/2*r**v + 0*r**3 + r + 2 + r**2. Find j, given that q(j) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4904*o**2 - 7281*o**2 + 987*o**2.\nAnswer: -11198*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -8*h + 2*h. Let i = 13 - h. Is 5 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and -9390557.081.\nAnswer: -9390553.081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 38989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 345397769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 83802*g**3 + 1180*g**2 + g + 24 wrt g.\nAnswer: 502812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 3*m**5 + 63*m**4 - 9*m**3\/4 - 48*m**2 - 63*m\/4 = 0?\nAnswer: -21, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*f**3*n + 3994188*f*n - 19553926*n wrt f?\nAnswer: 12*f**2*n + 3994188*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*d**2 + 50*d**2 + 20*d**2 + (6*d**2 - d**2 - 3*d**2)*(2 + 1 + 0).\nAnswer: 52*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/243691 and -61\/94332.\nAnswer: 2924292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s + 16. Let h = 16 + -9. Let b be r(h). Let v(n) = -2*n - 10. Let m be v(b). Solve -4 = -j - m, 6 = 2*y - j for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30111122112 + -2110?\nAnswer: -30111130222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c - 44c6b?\nAnswer: -44c4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a kilometer in meters?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000011111 - -1?\nAnswer: -10000011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10636981063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -655 + 663. Suppose -5720 = r*k - 20240. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -4*p**3 + 527*p**2 - 897*p - 1675. Determine z(130).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8 - (5 + -11) - 170. Let m = -177 - x. Let a(v) = 5*v + 4*v - 8*v. Let f(s) = -7*s - 3. Determine m*a(r) - f(r).\nAnswer: 2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k**3 + 2*k**2 + 12*k**3 - 25*k**4 - 7*k**3 - k to the form g*k**2 + v*k**3 + x*k**4 + s*k + z and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -1\/20572428?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(320) + 4.\nAnswer: 1 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 553\/1264*(-4)\/(-21). Let a(z) be the second derivative of 3\/2*z**2 + 0 - 15*z - 1\/3*z**3 - i*z**4. Factor a(u).\nAnswer: -(u - 1)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 z when three letters picked without replacement from {f: 1, g: 1, z: 2, s: 5, h: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 962 and 962 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1873249\/30 + 125699\/2. Let w be -4 - (-558)\/126 - 2859\/7. Let d = w + o. What is the nearest to 1\/2 in d, -0.4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -22*s + 2. Suppose -51*w = -53*w + 4. Let d(k) = 2*k - 2*k + w*k**2 + 0*k. Determine l(d(o)).\nAnswer: -44*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -117 - -62. Let p = h + 58. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 6*d**2 - 6*d + 5. Let t be m(5). Suppose t = 5*k + 5 - 60. What is the lowest common multiple of k and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 12*t - 8. Let u(x) = -x**2 - 8*x - 13. Calculate the remainder when l(-11) is divided by u(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 286521?\nAnswer: -286515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 20*i + 54. Let c(a) = -40*a - 109. Let h(j) = 2*c(j) + 5*y(j). Find the first derivative of h(w) wrt w.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3 - (-3 - 0)) + 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-99))\/((-392)\/(-2156)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3 = -4*k. Let q(h) = 736*h - 73. Let y(l) = 183*l - 15. Let b(u) = -2*q(u) + 9*y(u). What are the prime factors of b(k)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26120329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292 = 26*z + 96 + 54 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 7:55 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -104 - (2 - 1) - 1 - (9 + (331 - 350))?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -20, 5, -25 in ascending order.\nAnswer: -25, -20, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 44*l**2 - 22*l + 397. What is the thousands digit of y(-40)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 + 42. Let m(r) be the second derivative of 9\/20*r**5 - 9\/2*r**l + 0*r**4 + 0*r**3 + 0 + 5*r. Differentiate m(n) with respect to n.\nAnswer: 27*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -5398*i + 690909. What is o(128)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4994675333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -u**9\/60480 - u**7\/5040 - u**6\/720 - 47*u**5\/60 + 6*u**2 + 1. Let r(s) be the third derivative of o(s). Calculate r(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 1690822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -1 - (-24 - -1 - (-7 - 1))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**3 + 36 - 2193*h + 207 + 2193*h - 243 + 16*h**2.\nAnswer: -2*h**3 + 16*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6674424?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5 + 5 = 0. Suppose -3 = -f*n - 4*c + 25, -n = -2*c + 6. Suppose -l + 0*l + n = 0. Solve -2*w + 4*w - 16 = 2*g, l*w + 5*g + 13 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n - 2*n**2 - n + n**2 + 5*n**2 - 4*n**2 + (-4*n + 5*n - 2*n)*(-3*n + 1 - 1) + 152*n**2 - 74325 + 74325.\nAnswer: 155*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12598174\/63 smaller than 199971?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3 + (-3 - 1 + 2)*(2 + 0 - 3) + 3 + 3 - 5 - 2 + 1 - 1)*(1 - 1 + 3*y).\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or -137348?\nAnswer: -137348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 35859011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 148*l**3*s**2 + l**3*t + 40*l**2*s*t - l*s**2*t - 2*l*s wrt s.\nAnswer: 296*l**3 - 2*l*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.452 - -2.\nAnswer: -0.452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4092*v + 60990 = 15978 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469 is divided by 155?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-5 + 3 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 15*n + 9 - 3\/2*n**2. Let h be z(0). Is 15 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 101, 211, 365, 563?\nAnswer: 805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4280, -4264, -4248, -4232?\n\"Answer: 16*l - 4296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -1703*u + 759567. Calculate o(446).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -1120, 4, -3, -33, -5 in decreasing order.\nAnswer: 4, 1, 0, -3, -5, -33, -1120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/5 (b) 0.4 (c) -0.5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 181597446285.99889 - 181595665164. Let s = -1781138 + w. Let o = 16 + s. What is o rounded to four dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 36 - 6 = 0. Let h(k) be the first derivative of k**2\/2 + 14*k - 2. Is h(m) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.882+918.592\nAnswer: 917.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 + 2*r - 2. Let w(c) = 3*c**2 + 3*c - 3. Let t(v) = 5*w(v) - 7*z(v). Let l(a) = 5*a**2 + 3*a - 3. Suppose 30 = 11*f - 3. Give f*t(u) - l(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) - (sqrt(6) + (sqrt(6) - sqrt(24))))*-5 - 1*sqrt(486))\/((sqrt(484)*1)\/(-1*sqrt(2)*-2)) + 0.\nAnswer: -28*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -2*w - 14, -2*v + 10 = -5*w - 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 167 = -4*o + 6*h, -81 = -2*o - 3*h. What is the lowest common multiple of 60 and o?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/(-15) + -1)*-9. What is the third derivative of 42*i**3 - 5*i**4 + 40*i**3 - 133*i**x - 41*i**2 + 48*i**3 wrt i?\nAnswer: -120*i - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1779 or -1826?\nAnswer: -1779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**14*(d\/(d**(-24\/11)*d))\/d)**13)**(-9) assuming d is positive.\nAnswer: d**(-19539\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2*i + 9 = -t, 0 = 3*i + 6. Suppose 5*f - 2*h = 13 + 8, 4*f - 10 = t*h. Suppose 0 = -w + k + k - f, -w = 4*k - 19. Solve -x = -w + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + (1 - 1) + 224\/4. Calculate the highest common factor of y and 531.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267695 is divided by 208?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eleven halves of a micrometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 40\/22 + (265\/(-55) - -5). Suppose -2*l + 1 = -n*q - 21, -5*q + 29 = 2*l. Calculate the least common multiple of l and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/440 and (-3 - 993\/(-330))*(-97)\/2.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 1) + (-2 - (9 + -6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 116 and 329773?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -551 and 2.\nAnswer: -1102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3980701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 78 = -4*b - 55, 0 = 2*b - 4*n + 34. Let f be (b\/12)\/((-15)\/(-200)). Let z = f + 33. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -125631 + 200408. Let p = -16077019\/215 + y. Calculate the common denominator of p and 59\/20.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 48\/20*(-20)\/3. Let v be p\/(-2) - -2*1. Suppose 0 = 3*y - v - 35. Solve t + 5*c = -1, 4*t = -c - 0*c + y for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 38716.\nAnswer: 11614.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1123?\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -366*z**3 + 10*z**2 + 5*z - 5. Let v(w) = -1834*w**3 + 55*w**2 + 27*w - 27. Give 11*s(n) - 2*v(n).\nAnswer: -358*n**3 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.04 (b) -4\/7 (c) -29.902 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6862d65 + -8?\nAnswer: -6862d6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/13 (b) 6 (c) -1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/5 (b) 0.3 (c) -0.1124 (d) -4 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9147, -9149, -9153, -9159, -9167, -9177, -9189?\n\"Answer: -q**2 + q - 9147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 37, 75, 113, 151?\nAnswer: 189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, -1, 7, -0.2 in ascending order.\nAnswer: -45, -1, -0.2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 70, -225, -3, -1.\nAnswer: -225, -3, -1, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 20 = 20. Suppose -2*o + 9 = 4*g - g, -15 = -b*g - 3*o. Suppose 2*h - h = -2*q + 221, g*h - q - 635 = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 96061243?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -68, -105, -140, -173, -204, -233?\nAnswer: -260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sk when two letters picked without replacement from {v: 1, s: 2, k: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 40*f**2*u + 7*f**2 - 2*f*u - j*u + 3*j wrt u?\nAnswer: 40*f**2 - 2*f - j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 99*k - 2783 + 1245 - 294 - 8563 for k.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*(900 - 922 - (-461)\/21)\/(2\/(-7)).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -5*s**3 - 6 - s**2 + 7*s**2 + 8*s + 5*s**2. Let r(u) = 2*u**3 - 3*u - 3*u**2 + 3*u**2 + 2 - 4*u**2. What is 3*f(j) + 8*r(j)?\nAnswer: j**3 + j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -90*a**4 - 4*a**3*r**2 + 3*a**2 - 13*a*r**2 + 4*r wrt a.\nAnswer: -2160*a - 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11242446, 11242442, 11242436, 11242428, 11242418?\n\"Answer: -v**2 - v + 11242448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 14 = -0*x. Suppose 0 = -x*u - 0*u + 10. Suppose -u*f + 2*z - 25 = -z, -5*z + 5 = -f. Sort f, -3, -2\/11.\nAnswer: f, -3, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.01456 bigger than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -115022254 (base 6) to base 7.\nAnswer: -24444136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 27 - (-28 + 7 - -59)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 less than -1.81405?\nAnswer: -137.81405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 9 - (-22 + -1) - 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t + 0 + 0)*(-338 - 5*t - 195 + 543) in the form p + f*t + l*t**2 and give l.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-8)*u*(u\/((u\/(u\/(u**27\/u)))\/u*u*u))\/u)\/(u*u\/u**(-24)*u**(20\/7)\/u))**(-48) assuming u is positive.\nAnswer: u**(15072\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - (sqrt(156) - sqrt(156)*3))*4)\/sqrt(12)*4 - (2 + (-6*-1*sqrt(52))**2).\nAnswer: -1874 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -192 + 123. Let m = j + 123. What is the tens digit of 6\/27 + (38010\/m)\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.02 (b) 3.2 (c) 579 (d) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -149*q - 32. Let u(d) = -49*d - 12. Determine -3*m(n) + 10*u(n).\nAnswer: -43*n - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 7:10 PM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 + 0. Let a = 2 + h. Let n = a + -1.6002. What is n rounded to 5 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -4*q**3 - 1420*q**2 + 14536*q - 23360 = 0.\nAnswer: -365, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17.714 - 17.714064205. What is n rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*x = 268*x - 2 + 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1532964091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1691110728 to the power of 1\/3, to the nearest integer?\nAnswer: 1191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 23053, 24454, 25855, 27256, 28657?\n\"Answer: 1401*g + 21652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -76 - -84. What is the lowest common multiple of w and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*c + 271, 4*b + 176 = -c + 1260. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44541984583 - 0.2109\nAnswer: -44541984583.2109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 405621 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4334619 to the power of 1\/2, to the nearest integer?\nAnswer: 2082","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 1 (c) 0.512\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*x + 4. Let n = -1 - x. Suppose 222 = 4*r - n*c, -4*r - 2*c - c = -247. Calculate the remainder when r is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65428836 divided by 1518\nAnswer: -43102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**4 - 410*w**3 - 8805*w**2 - 16400*w - 8000.\nAnswer: -5*(w + 1)**2*(w + 40)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6, -4, 63, -1 in descending order.\nAnswer: 63, 6, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i + 19. Let u be (-60)\/9*9\/(-4). Let l be m(u). Solve -w + 25 = -5*v, 2*w + w = -l*v - 1 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 > 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 113807863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -114641, 1\/5, -5 in decreasing order.\nAnswer: 1\/5, -1\/6, -5, -114641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 1 = 3*m, -3*m - 7 = 5*j + 9. Suppose -14*w = -4*w - 400. Suppose -33*o - 21 = -w*o. Solve 2*v = 5*n, -n + 11 = -o*n + m*v for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5712.9999997471 + -5713. Round k to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/3)\/x*x*x*x**4*x*x)**19\/((x\/(x\/x**(1\/2)*x))**11)**33 assuming x is positive.\nAnswer: x**(1963\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/891315 and 127\/870.\nAnswer: 1782630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r + 31. Let q be j(0). Solve 5*n - 4*s = -25, -6 = 5*s - q for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -110, -8.1956, -1\/7, -7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 k when two letters picked without replacement from {y: 2, k: 1, v: 7}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 248\/310*(-575)\/92\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1203.89 - 1204. Let g = 75\/238 + -1\/34. Which is the nearest to g? (a) s (b) -3\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -6*y + 1. Let k = 60 - 9. Let x = 52 - k. What is v(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3630*q + 4710 with respect to q.\nAnswer: 3630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3071)\/2035 + 56\/35.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w = -30 - 84, 5*w = 2*g + 97 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 44 = -h - 12, 0 = h - 4*n - 44. Calculate the smallest common multiple of h and 44.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*r - 5*p, p - 22 + 7 = -5*r. Let c(g) = 5*g**2 - g - 1. Let d be c(-1). Suppose -q + r = -d. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 4 - 4 - l**2 + 1 to s*l**2 + d*l + x and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3276 by 14.\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -55*n**6*z**3 - 16*n**6*z - n**2*z**3 - 5*n**2*z**2 - 2*n**2 + 4*z**3 wrt n.\nAnswer: -6600*n**3*z**3 - 1920*n**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.02 + -0.02. Let t = 0.8 - 1.4. Let a = 4.4 - t. What is the closest to r in -5\/2, a, -3?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 87 + -58. Let u = -2 + v. Calculate the lowest common multiple of u and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + r)*(-3*r + 3*r + r) - 8*r**2 + 3*r**2 + r**2 + (-3*r + 0*r + 5*r)*(-2*r - 3*r + 3*r) to the form a + s*r + w*r**2 and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + f - 25 = 0, 7*y - 4*f = 2*y + 53. Let u be 4*(y\/6 + -2). Let x be 6 + 6\/12*-10. Sort x, u, -1 in increasing order.\nAnswer: u, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + 4*c - 8. Let u be 18\/4 - ((-9)\/(-6) + -1). Solve -4 = c*a + u for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2900, -1, 4 in increasing order.\nAnswer: -2, -1, 4, 2900","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.566684195643 minus 7.5?\nAnswer: -6.933315804357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -268853481995 + -0.06.\nAnswer: -268853481995.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = -2*c - x, -5*c + 2*x + 5337 = 5240 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4aa52 (base 15) to base 10.\nAnswer: 238577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-5*sqrt(175) + -3*sqrt(252) - (-4 + (sqrt(343)*4 - sqrt(343)))).\nAnswer: -64*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1664 + 4339 = -107*i for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 513, 325, 137, -51, -239, -427?\nAnswer: -615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -1. Let q(s) = -2*s**2 + 3*s - 1. Determine -q(x) + 3*r(x).\nAnswer: 2*x**2 - 3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(4 - 244\/64). Let l = -22.6 - -23. Let s be (-2)\/(2 + -1) + 7. Which is the closest to 0? (a) s (b) l (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -403*f**5 - 6*f - 27 wrt f.\nAnswer: -8060*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 divided by -3?\nAnswer: -79\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 3*l - 30, 0 = -c - 13*l + 10*l. What are the prime factors of c*(-5 - (1 - 106\/6))?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.066 - -0.206. What is the second smallest value in -5, w, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-15)*54\/(-108). Which is the fourth biggest value? (a) 4 (b) -2\/3 (c) -2\/29 (d) h (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/90116018 or -1?\nAnswer: 1\/90116018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 35410000 rounded to the nearest one million?\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 6. Suppose -2 = -y + r. Let h(n) = -3*n - 3. What is the remainder when h(-4) is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 123 - 123. Let p be (k - -1)\/(6\/30). Solve -p*z = z + 12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - ((-8)\/(-12) + -2)*-192. Let q = 264 + n. Solve -q*a = -a + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*q - 48*q + 22 = 0. Sort -3, -2, q, 5.\nAnswer: -3, -2, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*q - 4*a + 13 = 0, 4*q - 2*a - 10 = 0. Suppose 48 = 2*c + 40. Suppose 32*x**3 + 27*x**c - 12*x**2 - 102*x**4 + 24*x**3 + 4*x**q = 0. What is x?\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 165995 to the nearest integer?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (-12 - (11 + -23)) + 0\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -42 - -5?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 310374343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-14) - 180\/(-63). Suppose -u*m + 28 - 7 = 0. Differentiate -1 + m - 5*b + 12*b + 4 with respect to b.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188161 + 938247 = -7812*v + 2845*v - 5969*v for v.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(68)*5 - sqrt(68))\/sqrt(4).\nAnswer: 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 1)*(-14 + 9). Suppose -3*g = -5*i - 149, i + 92 - 331 = -y*g. 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: Expand -3*o**3 + 3*o**3 - 2*o**5 + (27*o + 167*o + 146*o)*(0 - o**4 + 0).\nAnswer: -342*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -392 + 395. Solve -15 = 2*f + 3*x, -c*f + 3*x + x = -3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2\/4 - 729425*v\/2 + 1458845\/4.\nAnswer: 5*(v - 291769)*(v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 5*l**2 - l. Is b(4) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 7*l + 2. Let x be q(7). Calculate the remainder when ((-3)\/6)\/(x\/(-96)) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25256, 106866, 242882, 433304?\nAnswer: 678132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1926 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2149965?\nAnswer: 3, 5, 47777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -3*n + 39, 7 = f - n - 0*n. Suppose 20 = 4*c - 5*l, -2*l = -5*c + 15 + f. What is the greatest common factor of 1 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**4*y)\/(y\/(y*y**(-6)\/y)*y)*y**(-3)*y**(-3\/5)\/y)**(-3) assuming y is positive.\nAnswer: y**(204\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 88 = -0. Let i be (-2 - (1 - j)) + (1 - 0). Is 13 a factor of i\/(((-152)\/52)\/1 + 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -43*l**2 + 14*l**2 - 10*l - 9*l**4 - 22*l**3 - 6*l**3.\nAnswer: -l*(l + 1)**2*(9*l + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -122 + 119. Put -5, d, 1 in descending order.\nAnswer: 1, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -255, -258, -261, -264, -267?\n\"Answer: -3*a - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 487798 is divided by 34673.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -279984 (base 10) to base 13\nAnswer: -9a593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -13*j - 114. Let x = -2 - -5. Suppose -2*b = -0*b - x*r - 126, 2*b - 130 = 4*r. Calculate the remainder when b is divided by d(-11).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4389600 and 3072720?\nAnswer: 30727200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1339, -1474, -1631, -1816, -2035, -2294, -2599?\n\"Answer: -h**3 - 5*h**2 - 113*h - 1220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.808 - -337.192. Let z = m - 337.9999473. Round z to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-267 - 669735\/(-2541))\/((-4)\/10 - (-88)\/245)\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 * 1.3542\nAnswer: 0.94794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b0 + 602?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -21617587123.7 - 661?\nAnswer: -21617587784.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/5701 or 1135\/3?\nAnswer: 1135\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14 + 22?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1179156 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/18245 and 3\/979?\nAnswer: 200695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1097 in -1\/5, 2, 0.2, -2\/5, 1\/8, -1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -356 + 4. Let p = 388 - h. Round p to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -7. Suppose 21*w - 23*w = 1656. Let t = w + 831. Calculate the greatest common factor of t and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2101360 + 584?\nAnswer: -2100665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 - 25. Suppose 0 = 3*w - n - 2*n + 231, k = -4*w + 2*n - 298. What is the common denominator of (-1038)\/w - (-2)\/8 and -1\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -32158?\nAnswer: 32155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, 3\/5, 4 in descending order.\nAnswer: 4, 3\/5, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*k - 6. Let r be (-13 + k)*6\/(-4). What is the highest common divisor of r and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 3*n - 7 + 1, -16 = -2*p + 2*n. What is the first derivative of 1 - 5*w + 5*w + p*w**2 wrt w?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1321 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 2 - 6\/(-2). What is the derivative of 3 - 18 - 12*b**4 + 8 + b**l wrt b?\nAnswer: -44*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31608 - -12532\nAnswer: -19076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 64a428 (base 14) to base 8\nAnswer: 15001744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + 85 - 80 - (2\/6 - (-84)\/(-9)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 2:50 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3322578 divided by -15?\nAnswer: -1107526\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 + p + 3. Let z be r(2). Suppose 0 = -3*y - 0*y + 9. Suppose 0 = 4*d + f - 13, d + y*f - 27 = -2*f. Solve -3*g = z + d for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-18) - ((-94)\/(-12) - 8).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*f, 21*f - 17*f = -7*c + 19 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1074?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -193036*m*n**4 - 141*m*n**2 + 298*m*n - 4*n**2 + 5*n - 3850 wrt n.\nAnswer: -2316432*m*n**2 - 282*m - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -r**5\/210 + 34*r**4\/21 - 4624*r**3\/21 - r**2 - 19*r. Let g(u) = 0. What is u?\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 + 85 - (-6374)\/(-108)\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 13*a**2 - 11*a + 4. Let t be 1\/(-9) - 5969\/(-423). Determine i(t).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 79*a**2. Let g be 4*5\/(-50)*-5. Let z(t) = -36*t**2 + 71*t**g - 33*t**2. Give o(z(m)).\nAnswer: 316*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.818212567 rounded to four dps?\nAnswer: -3.8182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d**3 + d**2 - 5*d. Let s(l) = -l**2 - 2*l. Let n(r) = -r**3 + 2*r**2 + r. Let z(a) = 2*n(a) + 3*s(a). Calculate 4*p(h) - 5*z(h).\nAnswer: -2*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 5*i - 46 = -3*h, -3*h - 3*i = -36. Let n = -1 - -4. Calculate the remainder when n is divided by (0 - (-10)\/h) + 4\/14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18456 and 279651464?\nAnswer: 838954392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 22*z**2 - 31*z - 180. Determine r(-23).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one fifth of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1471 + 3481*w**4 + 7*w**3 - 3479*w**4 - 2*w + 1603 to x*w**3 + v*w**4 + z + d*w**2 + j*w and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 u when two letters picked without replacement from {c: 2, j: 3, f: 1, h: 4, u: 3, v: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 5*h + 2*v = 8, -4*h + v = 4. Let y be 4 + (-3 - 0) - h. Is -2\/41 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2868.58491 rounded to the nearest one hundred?\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 8:50 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1938989?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 130 + 416)*(-s - 3*s - 5*s).\nAnswer: -2520*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*o**3 + 75*o**3 - 67*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85 divided by -17.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 19. Let m be t(-4). Suppose -m*k = i - 2*k - 355, -i = 3*k - 359. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/769600 and -173\/60480.\nAnswer: 145454400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2 - 2*s - 5. Let z(u) = -u**2 + 1. Give -o(x) - 4*z(x).\nAnswer: 2*x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 17126728 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y = -k - 20*y + 19, -13 = 3*k - y for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1483*m - 1482*m - 3*j + 11 = 0, -4*m = -3*j + 8 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 94.937591 to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -3\/227, -5, -21, -1.5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3769, 3893, 4103, 4441, 4949, 5669?\n\"Answer: 7*t**3 + t**2 + 72*t + 3689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 + -24. What is the remainder when a is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 20 = -4*s, -2*s - 105 + 220 = 3*z + 105 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 158*y**4 + 3015*y - 3015*y + (-9 + 19 - 8 - 2*y)*(-5*y**3 + 3*y**3 + 4*y**3) in the form o*y + t + w*y**3 + x*y**2 + n*y**4 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x. Let n(f) be the second derivative of f**3\/6 - 2*f. Let v(g) = 7*g. Let l(u) = -4*n(u) + v(u). Calculate l(k(c)).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3311, -3312, -3323, -3350, -3399, -3476, -3587?\n\"Answer: -q**3 + q**2 + 3*q - 3314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 2526594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -136*r - 1. Let g(m) = -266*m - 1. What is -4*g(y) + 7*o(y)?\nAnswer: 112*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 17 - 5. What is the third derivative of -20 - 10*h**2 + 121*h**6 - 16*h**y + 23 wrt h?\nAnswer: 14520*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 737755095 a multiple of 905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -18*s + 3507. Let u = -137 + s. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l**3 + 3*l**3 + l**3)*(-29*l + 14*l - l) to the form a*l**2 + u*l**4 + r*l**3 + t*l + w and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 2*v - 75, 10*j + 5*v - 45 = 13*j. Let n be ((-3)\/((-60)\/16))\/(j\/(-75)). Solve d + 3*h + 3 - 1 = 0, 3*d + n*h + 11 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*((-528)\/(-128))\/33\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-9))\/((-4)\/(-36)). Let u(j) = 17*j**d - 11*j**2 + j**3 - 2 + j - 6 + 7. Does 9 divide u(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g. Let l be m(-2). Let f be (-35)\/26 - (-24)\/16. Let z = 0.3 - 0.5. Which is the second smallest value? (a) l (b) f (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*b + 2*b - 6*b + 7*b to the form l*b + d and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46997?\nAnswer: 46997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/6)\/(70\/(-175)*2\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 15*p**2 + 22*p + 1. Determine q(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.11 in 82, -0.1, -1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 3*s - 2*s - 3)*(15*s - 4*s**2 - 15*s) in the form h*s**3 + v*s + m + t*s**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 1305 - 131 = 0. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/92061388 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57\/2 of a litre?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(65) + 2*sqrt(65) + sqrt(65))*-4)\/(1*(sqrt(5) + (sqrt(605)*-2 + sqrt(5) - sqrt(5)))))**2.\nAnswer: 13312\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**2 + 30837310*m + 47546984401805 = 0. Calculate m.\nAnswer: -3083731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4276*d**2*t*v**3 - 12*d**2*t*v + 3006*d**2*t + 451*d**2*v**2 - 2*d**2*v - d**2 + 2*d*t*v + 3*t wrt v.\nAnswer: 25656*d**2*t*v + 902*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + -58 - (-64 - 4).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 9:20 AM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 919.\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 6a?\nAnswer: 6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 5*h - 4197. Let p(x) = 6*x. Calculate i(p(l)).\nAnswer: 30*l - 4197","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16177 - 81261\/5. Let b = u + 75. Let s = -1377 + 1372. What is the third biggest value in s, b, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-5))\/2*(-4)\/(-2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cppppppcpppcppp. What is prob of picking 1 c and 3 p?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1264186.\nAnswer: 2, 7, 11, 8209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 6:46 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*t - 5*t + t)*(-4 + 3 + 0) + 102 - t + 96 + 80 as z + s*t and give z.\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/6*-1*2\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.01 + 0.01. Let i = 12 + -13.2. Let g = i - -0.7. Which is the nearest to 1? (a) 0 (b) w (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-32))\/(((-112)\/(-192))\/(7315\/(-855)))?\nAnswer: -33\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: Suppose 0 = 3*b - 8*b + 180. Let u = b - 0. Let l = -133 - -187. Calculate the highest common divisor of l and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 989*a - 969*a - 8120 = 0. Calculate the highest common factor of 994 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 11*z**2 + 2*z - 1. What is l(-11)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v + 3. Let l(h) = 1. Let c(w) = -3*l(w) + z(w). Let k(t) be the second derivative of -31*t**3\/6 + 22*t + 89. Determine k(c(o)).\nAnswer: -62*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 221 + -207. Let o = 201 + -139. Let j = o + -36. Calculate the remainder when j is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 18 = 68*v - 73*v, v + 5*s + 1 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 3*n = 15. Let w = 7 + n. Let q be -1 + 4 - 4\/w. Which is smaller: q or -1\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v + 13. Let d be 6 + -5 + 0 + 32. Let y be (-108)\/11 - 6\/d. Does 23 divide l(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*x + 24*x + 5*y - 9, -3*y + 5 = -2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46735514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f - 1. Let j(w) = 2*w**2 - w - 4. Let k = 18 + -17. What is k*b(r) - j(r)?\nAnswer: -2*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(4\/7)\/a))\/a)\/((a\/(a\/(a**5*a)))\/a)*(a**(-2\/9))**(-1\/3) assuming a is positive.\nAnswer: a**(-850\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 - j**2 + 2 + j**2)*(-3 + 6 - 4 + (-1 - 3 + 2)*(2 - 1 - 2) + 2 - 4 + 4).\nAnswer: 3*j**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 777 - 757. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18571.23g to milligrams.\nAnswer: 18571230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 522656.8432 and 1?\nAnswer: 522655.8432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -5*c**5\/4 - 57*c**4\/4 + 783*c**3\/4 + 1177*c**2\/4 + 171*c\/2 = 0.\nAnswer: -19, -1, -2\/5, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 41\/2 of a hour?\nAnswer: 73800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5 - 4 - 4 + z. Let b be o(3). Let j(h) = -8*h + 2*h + b*h. Calculate j(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3294327*z**4 + 4232709*z**2 wrt z?\nAnswer: 79063848*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 820.1363 days to seconds.\nAnswer: 70859776.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s - 5. Let d be c(5). Suppose 2*o = -d*o + 402. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3, -1, 5, 15, 29?\n\"Answer: 2*a**2 - 4*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-292)\/(95192\/489)*((-568)\/3)\/(-4)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y - 15. Let g be h(0). What is the common denominator of 6\/8*(-46)\/g and 69\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 76*x**2 - x. Let r be p(1). Suppose 0 = m - 4*m + 2*b + 7, -10 = -4*m + 2*b. Suppose 12 = d - m. Calculate the greatest common divisor of r and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -78*t + 20*t + 25*t + 27*t to the form r*t + d and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.069814 and 1510821637?\nAnswer: 1510821636.930186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 5*u - 1847 - 396, i = -u + 560. Let t = 774 - i. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11674)\/104 + (-3)\/4. Let x(s) = 113*s**2 - 1. Let g be x(1). Let b = g + i. What is the nearest to 1\/2 in b, -2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19956576*f**4 - 21*f**2 - 84*f + 3357.\nAnswer: 478957824*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7303.77 + 16182.\nAnswer: 8878.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/5 - (-48)\/70. Let s = 3.75 + -258.75. Let l = s + 254.93. What is the closest to o in l, -3, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20430 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 70 - -511. Let i = 12203\/21 - x. Let b = -7\/17 - -89\/51. Put b, -2\/5, i in increasing order.\nAnswer: -2\/5, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 - 6 - 11)*(-p + 2*p + p).\nAnswer: 34*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*f + 150, 4*r - f - 114 = 9. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2370)\/270 - 160\/(-90).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23227 by -1.\nAnswer: -23227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1619972 is divided by 1231.\nAnswer: 1207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 18. Let d(m) = m**3 - 6*m**2 + m - 3. Let v be d(t). Let n(h) = -h**3 + 5*h**2 - 4*h + 2. What is the units digit of n(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -95 = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -5*h + h. Let o be (h\/(-34))\/(1\/(-5036)). Suppose -7*x + 9*x - o = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/4*-4*-1. Is 39 a factor of (3\/2)\/(b\/546)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*p + p - 2*p)*(7085*p - 90 - 7076*p + 5) - 8 + p**2 + 8 to the form m*p + j + u*p**2 and give u.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 13*y - 459. Give l(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, v: 8}. What is prob of picking 4 v?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*u = 7640 + 24120, -3*m + 4*u = -47626. Round m to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -6*w - 11. Let z be x(-6). Calculate the greatest common divisor of z and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21.5 + -0.5. Let r be (12\/(-42)*2)\/(-10 - -14). What is the smallest value in c, -2\/3, 5\/2, r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(sqrt(8) - (sqrt(128) - (sqrt(128)*-2 - sqrt(128)))).\nAnswer: -sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 5*c - 27, -l + 2*c = 5*c - 12. Suppose -7*h = -l*h + 1912000. What is h rounded to the nearest ten thousand?\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 75 + -93. Let r = j - -18. Let h(p) = p**2 + p. Let t be h(1). Solve -2*z + r - t = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 13242, 14074, 15440, 17340, 19774?\n\"Answer: 267*t**2 + 31*t + 12944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 7647 = 3*p - 1581, 0 = 4*n + 4*p - 18464. What is n rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.1 = 392436?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + -65. Let k = 56 + f. Suppose -5*z - 4*y + 10 = y, -5*z = 2*y - k. Let x(t) = -t**2 + 4*t + 7. Give x(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 7:01 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*f + 25*f + c = 51, -c = -f + 21. Let s be (f - 3)\/((-6)\/(-4)). Calculate the highest common divisor of 40 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8191173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 8 = 2*f + 2*s, 4*f - 3*s = -2. Let r = -64 + 190\/3. Which is the nearest to f? (a) 5 (b) 0.3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 + 0.3. Suppose 0*f + 10 = -5*f. Let v = -3 + 6. What is the closest to d in 0, f, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -718.411936 + 0.410536. Let u = 718 + i. Round u to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 63, 20, -111, -360, -757, -1332?\nAnswer: -2115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -653\/3 + 218. Let x(l) be the first derivative of -2 - t*l**3 + 0*l**2 - 5*l. Differentiate x(m) with respect to m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 295155, 590317, 885477, 1180635, 1475791?\nAnswer: 1770945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6ba0 (base 15) in base 5?\nAnswer: 1213000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -34 - 2?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 5*i + 3*t - 23, -t + 41 = 3*i. Suppose i*n - 18*n = -2*o - 3882, 0 = 5*o + 4*n + 9672. What is o rounded to the nearest one hundred?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1664, 3321, 4970, 6617, 8268, 9929, 11606, 13305?\n\"Answer: i**3 - 10*i**2 + 1680*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/15 + 104680204*c\/3 + 6848715693426010\/3.\nAnswer: 2*(c + 130850255)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**2. Let p(c) = 2307 - 3931 + c - 1381. What is p(i(f))?\nAnswer: -2*f**2 - 3005","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -y**3\/3 + 41*y**2\/2 - y - 76. List the prime factors of d(30).\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2. Suppose -2*c = -3*s + 30, c - 52 = -5*s + 5*c. Let k(y) = -6*y + s - 15 + 7. Calculate k(r(z)).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 191, 684, 1645, 3230, 5595, 8896?\nAnswer: 13289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338 = -30*y + 193*y - 2131 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 499, 1977, 4441, 7891, 12327, 17749, 24157?\nAnswer: 31551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 20 = -10. Suppose -q = 2*q - 855. List the prime factors of ((-2)\/g)\/((-5)\/q).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 43, 0.5, -6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48724.\nAnswer: 2, 13, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -7*r + 27. Let h be v(6). Let y be (-28)\/h + (-44)\/(-330). Solve -5*g - 21 = 4*z, y*z + g = 4*z + 7 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) 96 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/500 and 17\/300?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/8, -2\/11, -7, -1.2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9881, 9867, 9841, 9797, 9729, 9631, 9497, 9321?\nAnswer: 9097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 2, i: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63252 and 1092.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23601126?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -36. Let n(d) be the third derivative of -d**6\/120 + 3*d**5\/10 + d**4\/12 - 5*d**3\/6 + 14*d**2 + 2. Is n(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2949*t - 2949*t - 34*t**2 + 0*t**2.\nAnswer: -34*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 91\/((-1365)\/18)*1\/4?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149395 - 463000 = 3105*j for j.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (sqrt(6)\/sqrt(2) + 4 - sqrt(3)) - sqrt(75)*4)**2*2.\nAnswer: -304*sqrt(3) + 2198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 868*w + 3275. Calculate h(-3).\nAnswer: 671","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.9482083 minus 1172?\nAnswer: -1213.9482083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 8 - 1 = 0. Let a = -6 + o. Suppose -p + 3*j = -15, -5*p - 14 + 53 = a*j. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3520*x + 3543*x - 7066*x + 5*c - 55 = 0, 5*x - 11 = -c for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0203 * 245969.\nAnswer: -4993.1707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 311 + -309. Suppose w*d = 3*y + 249, -4*y - 375 = 2*d - 5*d. List the prime factors of d.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 585 + -585. What is the second derivative of 19*b - 12*b + 9*b**4 + g*b - 2*b**3 - 3 - b - 2*b**3 wrt b?\nAnswer: 108*b**2 - 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 2*a + 19 = 6*t, -t - 4*a - 39 = 0. Which is greater: t or 576?\nAnswer: 576","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1347998117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 2\/3, 4, -0.4, 6\/467, -0.15?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 0*i**2 + 4*i**2)*(-3*i**2 + 5*i**2 - i**2) + i**4 - 3*i + 3*i + 6804*i**4 + 8*i - 17900*i**4 - 8*i.\nAnswer: -11093*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 5981422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -23327600 to the nearest 1000000.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 98\/5831*-6657 - -112?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5612 (base 9) in base 14?\nAnswer: 171c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (214*n**4 - 398*n**4 + 251*n**4)*(-7 - 13 + 3)*(7*n - 3*n - 2*n).\nAnswer: -2278*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 248 a factor of 26564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10\/4*(-147)\/(-105)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3460)\/11865 + (-4)\/(-14). Which is bigger: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4643 + -665?\nAnswer: 3756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-20)*k*k*k\/k**(-18)*k*k)\/(k**(-3)*k)**(-3\/7) assuming k is positive.\nAnswer: k**(15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p**2 + 11*p + 3. Let z(r) = -r**3 + 49*r**2 - 198*r + 806. Let j be z(45). Let q(s) = -4*s**2 + 10*s + 4. What is j*q(w) + 5*a(w)?\nAnswer: w**2 + 15*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-11)\/33)\/((-5270)\/(-480) - 11). Solve -3*q + 4*j = -34, -5*j - 6 + s = 5*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 97 - 84. What is the first derivative of -28*m**2 + 56 - u*m**2 - 89 + 10*m**2 wrt m?\nAnswer: -62*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (1 + -7) - (-4 + 12)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2723058 divided by 39.\nAnswer: -69822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-32)*(-678)\/1017.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r + 0*r + r + (-3 - 1 + 1)*(0*r - r + 4*r)*(-2 - 2 + 0) + 2*r + 3*r - 3*r.\nAnswer: 43*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03903 - -308.06097. Let j = -113 + -178. Let i = u + j. What is i rounded to zero decimal places?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 4:46 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 12:07 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-30)\/85 - 32600034\/(-629)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -18, -91, -226, -453, -802, -1303?\n\"Answer: -5*l**3 - l**2 - 35*l + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3500*m - 3454*m - 368. Solve -4*s + m*s = -12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -5*y**2 + 195*y. Let i be d(39). Solve 2*w - 5 = 2*x - 3, i = 3*x + 3*w + 27 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 3*x - 15 - 13, -25 = 5*y. Let a(i) = -6*i**2 - 2*i - 7. Let q(r) = -3*r**2 - r - 4. Let f(z) = -4*a(z) + 7*q(z). Is f(x) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*u + 2*u = -216, 3*u + 62 = h. What is the remainder when h is divided by (196\/(-21))\/((-5)\/15)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1302021 + -3?\nAnswer: -1302030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u**2 - 362*u - 9492 = 0 for u.\nAnswer: -113\/7, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 5*r - 1. Let l be k(3). Suppose -l*c + 32 + 58 = 0. Does 6 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -3*(-4*(sqrt(52) - 1*sqrt(52)) + 0 + sqrt(832)))*5 + -1)**2.\nAnswer: 5040*sqrt(13) + 187641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 9 = 1. Suppose k*f + g = -7, -2*g - 12 = 7*f - 5*f. Let h be (4\/8)\/(f\/(-4)). Solve -h*q - 14 = 4*j, q - j = 4*j + 14 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3916 + 1960 + 1955. Suppose 0 = -4*u + 33 - 5. Suppose 9 = 4*a - u*a. Let o(n) = 2*n + 1. Determine a*h(m) - o(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15215\/5144 + -1\/1929. Find the common denominator of h and (564\/162)\/((-4)\/(-6)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(3*m - 5*m - 4*m + 0 - m + 0 + (2*m - 6*m + 2*m)*(-4 + 4 + 1)).\nAnswer: -18*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.0687, 4\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 14*t - 11. Let p be j(11). Is (p\/8)\/(4\/176) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4*o - 167. Let p(g) = -7*g + 333. Determine -5*b(u) - 3*p(u).\nAnswer: u - 164","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 756*k**6 - k**3 + 7*k**2 - k - 259.\nAnswer: 90720*k**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 6. Suppose 0 = c - i*c - 84. Let k = 131 - c. Is 16 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-34)\/30 + 1)*-10. Let m = 0.0035 - 517.0035. Let k = m + 519. Which is the biggest value? (a) -0.4 (b) -0.1 (c) g (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.4428854 milliseconds to weeks.\nAnswer: 0.0000000916714375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tgjgjtjjtjgtttg. Give prob of picking 2 g, 1 t, and 1 j.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + 76. Suppose h = 4*v - 2*v - r, 0 = -2*v - 4*r + 106. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14*85\/476 - (-13)\/2. Sort -27, g, -4 in ascending order.\nAnswer: -27, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, d: 2, o: 1}. Give prob of picking 2 d.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 2*j - 3, -2 - 2 = 5*j + 4*y. Let s(t) = -2*t + j*t - 2 + 7*t. Let c(i) = -26*i + 10. What is 2*c(n) + 11*s(n)?\nAnswer: 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - v + 4*u = -20, 8 = v + 2*u. Find the third derivative of -26*r**4 - 3*r + 7057 - 7057 + 5*r**2 + 0*r**v + 2*r**6 wrt r.\nAnswer: 240*r**3 - 624*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 + 1266*b**2 + 2508*b - 10096.\nAnswer: 2*(b - 2)*(b + 4)*(b + 631)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2373463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8168 - 4368. Round q to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -101 - -177. Let b = -54 + u. Let h = b - 16. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8 + 320\/(-35))\/((-1)\/7). Suppose -3*x + w*x - 1995 = 0. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -3429 + 673. Suppose -3*q + 301 = -m. Suppose 0 = 4*b - 0*b + 2*x - 262, q = 5*b + 2*x. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -187 + 1313\/7. What is the third smallest value in -5, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 200780.5 and 26.8.\nAnswer: 200807.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001011000011 + -11100100?\nAnswer: -11001110100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 0.194, -0.164, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008332 rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3515 = 71*d - 237*d - 1191. What is the lowest common multiple of d and (28\/1)\/(1\/5)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -68 + 71. Suppose -2*w + 6 = -v*g, g - 9 = 2*w - 5*w. Calculate the common denominator of -2\/11 and w - (-54)\/(-21) - 171\/(-336).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*u**2 - 1 + 1 + (9 - 9 + 10*u**2)*(-2 + 2 + 2))*(0 + 0 - 2)*(329*u - 1505*u - 3*u) to l*u**3 + o + r*u**2 + y*u and give l.\nAnswer: 54234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432) - (sqrt(432) + sqrt(432)*-6 + 0).\nAnswer: 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 54990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 33016 rounded to the nearest 1000?\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53173 is divided by 17638?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.35 - -1.05. What is the third biggest value in -1\/3, -5, 2\/7, f?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)*-4 + sqrt(28))\/(4*sqrt(196)) - ((-3*sqrt(21)*-3)\/((sqrt(363) - -2*sqrt(363) - sqrt(363)) + sqrt(3)))**2.\nAnswer: -15*sqrt(7)\/28 - 567\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -4. Let f = 3.69 - 0.59. Let l = t - f. What is the nearest to l in 0.2, -3, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30788 is divided by 10257.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 45\/6401?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -4*d - 3, d = -2*p + 6*p - 17. Suppose 0 = 2*r - r - d. Let w be (-2)\/(-18) - (-8)\/(-36). What is the nearest to 0 in 1\/8, w, r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 39916, 39912, 39906, 39898, 39888, 39876, 39862?\n\"Answer: -v**2 - v + 39918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2052785 smaller than 2052786?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2f4 (base 16) to base 13.\nAnswer: -462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -2. Let m(s) = s - q*s + 3*s - 8 + 17. Calculate m(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -319, -2, 16, -0.1?\nAnswer: -319","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1748?\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1660*d + 2 - 3434*d + 1703*d to c*d + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5664\/6515 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 633 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: Suppose 0 = 7*a - 50 + 8. What is the least common multiple of a and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, -14, 2\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 32*v - 3*v)*(6 - 3 - 2).\nAnswer: 26*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25063*h*i + 43*h - 2644 wrt i.\nAnswer: -25063*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 123 and 2829.\nAnswer: 2829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 2*b - 16 = 0. Let i(f) = f**3 - 7*f**2 - 9*f + 12. Let v be i(b). Find the first derivative of 0 - m**v - 2*m**4 + 1 - 3 wrt m.\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + (-2*sqrt(1872))**2 + -1 + 2).\nAnswer: -7494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2538\/(-7) + (-105)\/245. What is the common denominator of -23\/20 and -5 - 99\/(-21) - l\/(-630)?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 289 - 226. What is the greatest common factor of x and 1575?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3836671*c**3*q + 58*c**2*q - 53*c*q wrt c.\nAnswer: 23020026*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4))\/(((-1110)\/(-105))\/(-37)).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1364.93 rounded to the nearest 10?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - c + c + (0 - 2 + 1)*(3*c - 2*c + c))*(-9 + 53 - 4)*(-2*c + 11*c + c) + c**2 - 6*c**2 + 3*c**2.\nAnswer: -402*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-113*i + 113*i - 18*i**3)*(0 + 3 + 1) as w + u*i**3 + x*i**2 + c*i and give u.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 12:57 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 21*m - 40. Let z be f(23). Let b(v) = -4*v**3 - 6*v**2 - 5*v. Let t(p) = -8*p**3 - 13*p**2 - 11*p. Determine z*t(h) - 13*b(h).\nAnswer: 4*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4535 = 4*w - 1204, 3*l - 4*w = 17313. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uzznnofo. What is prob of picking 2 o?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6322 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -48 - -3 - (-33 + 13 + 26)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttvvnttkt. What is prob of sequence kv?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -5.6. Let i be (-12)\/(-3) - (14\/2 + -3). Let g be -4 - i - (-204)\/54. Which is the nearest to -0.1? (a) 2 (b) f (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 662 (base 14) to base 4\nAnswer: 103232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8\/22 - (-289216)\/352?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*q = 50*q - 10*q - 2108 for q.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 + 4*r**2 - 2*r**2)*(2*r + 1 - 1).\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165 and 473?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**3 - 3*u**2 + 19*u + 10. Is k(-6) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -4*k + 5*i, 13*i + 40 = -5*k + 10*i for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -74\nAnswer: 22.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1369*b**5\/3 - 3919595*b**4\/3 + 12169748*b**3\/3 - 1281292*b**2\/3 + 11440*b = 0. Calculate b.\nAnswer: 0, 2\/37, 3, 2860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28527 and 444.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 118669*k - 6. Let y(p) = 4*p**2. Determine v(y(c)).\nAnswer: 474676*c**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 179*w - 291*w - 81 - 4 + 10. List the prime factors of d(-7).\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 124\/155 - 68\/10. Let v be (-377)\/624 - 4\/y. What is the closest to v in 4, -0.4, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -537\/14 - -2727\/70. What is the closest to -1\/3 in 0.0367, q, 5?\nAnswer: 0.0367","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -297 + 299.51. Let j = b - 2.51317. What is j rounded to four decimal places?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1366, 4, 1, 53, -0.2, 1\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*a - 69, -9*m + 7*m - 176 = -5*a. Let n(j) = j**2 - j - 1. Let d be n(2). What is the greatest common divisor of d and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14065593.\nAnswer: 3, 2111, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -14025848 and -14025848 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*x - 508 = 223*x + 2336 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23736974.\nAnswer: 2, 47, 373, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -22569, -1\/2, 0.01 in increasing order.\nAnswer: -22569, -1\/2, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 317, 457, 595, 731, 865?\nAnswer: 997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096 a factor of 8449864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -5*f**2 + 37*f - 279. What is h(21)?\nAnswer: -1707","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 4*z - x, -z - 4*z + 4*x = -112. Suppose z = 2*f - 22. Suppose 3*r - g = 3*g + f, -2*r - 2*g = 0. Solve -b - r*b + 12 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -3*c + 58, 3*c - 59 = 5*p + 9. Suppose -24 = -4*i + 4*h, -2*i + c = h - 6*h. Solve -5*s**i + 3*s**2 + 3*s**3 - s**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4*-1*-2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/244 and -97\/9300.\nAnswer: 567300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.5, -2, -0.4, 70, -0.1 in ascending order.\nAnswer: -2, -0.4, -0.1, 0.5, 2, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -152 - -162. Let o be (-13 - 584\/(-40)) + 4\/d. Solve 3 = 3*v + f, -2 = -o*v + 2*f + 3*f for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.220798 rounded to 3 dps?\nAnswer: 0.221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*g**3 + 1678*g**2 + 7246*g + 6420.\nAnswer: -2*(g - 214)*(g + 3)*(4*g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of (-118)\/(-59) + (0 - -4*16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**2 + 3*h + 6. Let n(j) = 3*j**2 - 7*j - 11. Let u(b) = 3*n(b) + 5*t(b). Let a(l) = -5*l. Let f be a(1). What is the units digit of u(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3624 and 64?\nAnswer: 28992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 33*v + 927. Let c(s) = 2*s**2 - 35*s + 919. Let q(a) = -5*c(a) + 4*l(a). Differentiate q(x) wrt x.\nAnswer: -12*x + 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and (3 + 68\/(-20))\/(4\/(-500))?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 39634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 30 (b) 1.6 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 528 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 801 + -270. Let w(m) = -11*m - 40. Let j be w(-9). What is the highest common divisor of j and f?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n - 8. Let r = -13 + 5. Let w be m(r). Suppose w = -3*l - 181876 - 121124. Round l to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -179.5 and 152?\nAnswer: -27284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1*(-1 + -2))\/(-1). Suppose o*b - 2 = 16. Calculate the greatest common divisor of 6 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-15)*o)\/o)**33 assuming o is positive.\nAnswer: o**528","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -2*t**6\/15 - 6*t**2 - 3*t + 2. Let a(b) be the first derivative of m(b). Differentiate a(l) with respect to l.\nAnswer: -16*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 990, 975, 946, 897, 822, 715, 570, 381?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 less than or equal to 715\/114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = 3*z - 28. Suppose 4*v - 2*x + 7*x - 35 = 0, 5*v - 13 = 4*x. Suppose -z = -5*n - v*n. Sort n, 5, 1 in descending order.\nAnswer: 5, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 95 and 266.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1464 - -2104. Calculate the highest common divisor of 20 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37\/(111\/2)*(-330)\/20.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -f**4\/4 + 4*f**3\/3 + f**2\/2 + 2*f + 15. Let c be r(4). Calculate the greatest common divisor of 42 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 11. Solve u = -3*v - 11 + 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 9) to base 4\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + (-252)\/(-140))\/(-2*2\/44).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9677103?\nAnswer: 3, 149, 21649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -6*q**2 + 3024*q + 6042. Calculate b(-2).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -15, -42, -81?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r - 3*g - 19, 207*r - 210*r + 4*g = -16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**3 - 4*f**3 + 2*f**3)*(-3*f + f + f + (f - f - f)*(0 + 4 - 6) + 0*f + f + 0*f + 6*f - 2*f - 2*f + 670*f + 615*f + 90*f + 2*f - 5*f + 2*f).\nAnswer: 2756*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-220)\/(-22))\/((-80)\/40).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*w - 5 = -4*y + 17*w, 3*y + 35 = 4*w for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 10) in base 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 68240 and 320?\nAnswer: 272960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8849823, -8849795, -8849749, -8849685, -8849603, -8849503, -8849385?\n\"Answer: 9*c**2 + c - 8849833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1509668 and 748?\nAnswer: 16606348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 2:10 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -543\/2840 - 5\/568. Sort -0.1, -194, d.\nAnswer: -194, d, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76 and 149378.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2748661 is divided by 2084.\nAnswer: 1949","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*p + 2*p. What is the nearest to p in 1\/3, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 15 = 140. Let r(o) = 2*o**2 - 13*o + 50. Let n be r(5). Suppose -5*k - 8250 = -n*k. Calculate the greatest common divisor of k and s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.3 or 34\/1427?\nAnswer: 34\/1427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 less than -482?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 825 = 4*s + s. Let l be -4 + (-2)\/(-1) - 6. Let q be (-2)\/l - 118\/(-8). Calculate the highest common factor of s and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.056 and -6.197.\nAnswer: -6.253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2219 divide 29288581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 times 331\nAnswer: -463.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-39)\/26)\/((-1)\/(-28)*2). What is the hundreds digit of (-1650)\/(-7) + (-2 - 48\/h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6266 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -g + 11, 2*g + 5 + 3 = 4*w. List the prime factors of ((-4)\/g)\/(6\/(-117)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -11 + 10 - (-1 - -21)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/10)\/((-3)\/10). Suppose 4*a - 8*a = 0. Let q(f) = f**3 + 3. Let z be q(0). Solve -y*x + z*x + 3 = a for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 54289 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -85*i**2 + 25*i - 25. Let d(r) = -18*r**2 - 8*r - 8 + 7*r + 5*r. Let a(u) = 38*u**2 - 8*u + 18. Let f(p) = 2*a(p) + 5*d(p). Give -25*f(c) + 4*x(c).\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 82 + -142. Is 2 at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/30 + 4\/(40\/98).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -1319\nAnswer: -7\/1319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 7*y + 15. Let a be 20\/40*((2 - 2) + -6). Give p(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u - 2*u**3 + 3*u)*(-442800 - 89279*u - 442804 - 442807 + 1328411) to y*u + o*u**2 + m*u**4 + j*u**3 + w and give m.\nAnswer: 178558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**5*u))\/u**(-3))**(-4\/9) assuming u is positive.\nAnswer: u**(8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1887*o**2 + 1375641*o + 13122.\nAnswer: 3*(o + 729)*(629*o + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 919119191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -5*i**3\/3 - 5*i**2\/2 + 10*i - 17. Suppose s(d) = 0. Calculate d.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1070)\/82 - (208\/(-8) + 13)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5885\/(-22)*2016\/(-60) a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 5:15 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-1)\/(-10))\/(74\/185)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9523*t**2 - 416*t - 9525*t**2 + 416*t.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + f - 8 = 0, 5*k - 2*f = 23. Suppose -t = -k*t + 86. Is t a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f*f*f\/f**(1\/6))*f\/((f**1*f)\/f) assuming f is positive.\nAnswer: f**(-11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 + 35. Suppose 3*m - b = -4. Suppose m*n = 4*a + 26, 3*a - 3 = -0. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 525123891?\nAnswer: 3, 6483011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3*m - 9 = 18, 3*m - 21 = -2*c. Solve -3*l = 3*j + c, 2*l = 5*j + 6 - 29 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, z: 1, w: 1, n: 1}. Give prob of sequence zw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 122.02247 + -122. What is x rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 (base 10) in base 7?\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 439aa - 4?\nAnswer: 439a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1 + ((sqrt(68)\/sqrt(4))**2 - sqrt(17)) + sqrt(17) - (sqrt(68)\/(-1*sqrt(4)))**2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5909103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*f + 968, -9*o - 5*f + 4840 = -4*o. What is the hundreds digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 13*q - 5)*(2 - 3 + 3) + 4*q + 3*q - 6*q + (-1 + 5 - 2)*(-3*q - 3*q + 2*q) in the form s*q + h and give s.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*((u**(-1\/17)*u)\/u*u*u*u)\/u)\/(u\/u**(-7)*u))\/((u\/(u*u*u\/(u*u*u*u*u*u**(-2\/9)*u)*u))\/u)**14 assuming u is positive.\nAnswer: u**(-4582\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5312, 21385, 48236, 85865, 134272, 193457?\nAnswer: 263420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -14 + (12 - 15).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*c - 5602 = -214*c - 154*c + 7250 for c.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-32)\/(-96))\/(28\/63))\/(5\/660*-3)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22555430 (base 6) to base 15.\nAnswer: dc526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -51. Let c be i\/6 + 1\/(-3). Let x = -4 - c. Solve -2*f - x*f - 19 = 2*b, -3*b + 34 = -5*f for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 8, -4.\nAnswer: -4, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -29, -3 in increasing order.\nAnswer: -29, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((3\/2)\/3)\/(3\/(-42))*115\/(-161). Factor 2\/3*r**k + 0 + 0*r - 10\/3*r**2 - 14\/3*r**4 + 22\/3*r**3.\nAnswer: 2*r**2*(r - 5)*(r - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/182 or -1?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.9 - 13. Let l = -4.1 - -5. Let i = l - t. Which is the smallest value? (a) i (b) -4\/3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 6*t**3\/17 + 23042*t**2\/17 - 107670*t\/17 - 38450\/17 = 0.\nAnswer: -3845, -1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 96.42 - 96.41991746. What is t rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1866 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -8. Suppose 3*j = 3*s, 4 = -o*s - 2*j + 8. Calculate the highest common factor of s and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/4 - 3 - (-2 + (4 - -5))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -587\/22 - -331\/11. Let g = -241\/2 + 125. What is the common denominator of t and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s + 1. Suppose 3*b - 7*b + 16 = 0, 2*d = -b - 6. Let g(n) = n**2 - 2*n + 3. Let c(u) = d*g(u) - 15*y(u). Find h such that c(h) = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*q - 7*q + 53912200 = 9*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30842 in 1, -0.5, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -5*t. Solve r + 3*m + 12 = t, r - 3*m = -2*m for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/12*4\/(-2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + 9 + -1 - (3 - 1). Find the first derivative of -31*u**p - 15 + 15*u**2 + 19*u**2 - 6 wrt u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32792 + -13525. What are the prime factors of v?\nAnswer: 19267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 2*z**2 - 4*z + 2. Let x be q(3). Suppose -12 = -o - 5*k, -2*o - 3*k = -5*o. Let r(i) = -3*i + 2*i**o + i - 5*i**2 + 0 - 1. Determine r(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 558585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*s - 22 - 44 = 46 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 7c?\nAnswer: -7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-9\/5)*c)**18\/(c*c**(4\/15))**(-7) assuming c is positive.\nAnswer: c**(-83\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40 + -41124?\nAnswer: -41044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/9)\/(15\/(-10))*-1.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (1 + 0 - (-3 + 1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318 is divided by 77?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 489.5962l in millilitres?\nAnswer: 489596.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -6 - (1 - (-1 + 7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 19*q = -54. Let i(f) = -f**2 - 7*f + 6. Let o be i(-6). Let j = o + q. Sort 4, 2, j.\nAnswer: 2, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70 - -167. Let x = -236.564 + t. Round x to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**2 - 8*b**2 - 2 + b**2)*(-4*b**2 + 5*b**2 - 19*b**2).\nAnswer: 216*b**4 + 36*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5470 + 5*c**3 + 5468 - 10940 + 2*c. Let x(n) be the first derivative of -11*n**4\/4 - 5*n**2\/2 + 5*n + 1. What is -5*d(k) - 2*x(k)?\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 5 = 5*l. Suppose 0*g = g. Is g greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**2 - 2020*y - 86385 = 0 for y.\nAnswer: -39, 443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173*f + 545*f + 449*f.\nAnswer: 1167*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -86071670*k - 91580853 wrt k.\nAnswer: -86071670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j. Let h(a) = -a**2 - 1. Let z(w) = 13*w**2 + 8. Let b(x) = -24*h(x) - 3*z(x). Calculate b(p(i)).\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 489535?\nAnswer: 5, 19, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(2*x**2 - 5*x**2 + x**2) - 1078*x**2 - 3078*x**2 + 28*x**2.\nAnswer: -4130*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.572 - -0.372. Put -77\/6, -5, 0.2, z in descending order.\nAnswer: 0.2, z, -5, -77\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2 = 0, -3*z - 4*h = -10760946 - 3868726. Let v = -554692 + -6881868. Let r = v + z. What is r rounded to the nearest 100000?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -80220983\/33 + 2430227. Let i = t + 712. Is i less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -517 + 512. Let i be p + (-9)\/(18\/(-716)) - 1. What is the greatest common divisor of i and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -7, -4, -1 in increasing order.\nAnswer: -7, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/2)*s*s**(-1\/7))**(1\/16)*(s**(2\/11)*s*s**(4\/5)*s)**(9\/5) assuming s is positive.\nAnswer: s**(328149\/61600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.22 and 71424822.\nAnswer: 71424822.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 greater than -987026?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-5)\/15))\/((-66)\/(-4))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6f2 + -5aed?\nAnswer: -61df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*b + 133 = -21*b - 722 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x - 1. Let o(k) = 9 + 7*k + 6 - 6. Suppose -5*w - 9 = -4. Let h(z) = w*o(z) - 6*u(z). What is h(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 32 = 2*k, -5*k - 18*q + 11*q = -23*q + 11*q + 90 for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000721337 rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2871.38 meters to nanometers.\nAnswer: 2871380000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 46476.89ml?\nAnswer: 46.47689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 194 - 8*f**3 - 968 - 946 - 430 + 259 as x*f**3 + y*f**2 + r + g*f and give r.\nAnswer: -1891","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -5.6\nAnswer: -22.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*g**3 - 3*g**3 - 5*g**3 - 4*g**3.\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 26*d**3 - 6*d**2 - 144*d + 4. Let g(p) = 29*p**3 - 5*p**2 - 143*p + 3. Let v(n) = -4*g(n) + 3*m(n). What is the second derivative of v(k) wrt k?\nAnswer: -228*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -11. Which is the nearest to -2? (a) -2 (b) -4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and 13620134921186.\nAnswer: 13620134921185.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2. Let h(g) be the first derivative of 9*g**2\/2 - 38. Calculate h(l(u)).\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w - 3 + 20 = -2*x, w = 2*x + 11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*h*y - 19261*h + 6707*y + 5 wrt h?\nAnswer: 2*y - 19261","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 159250 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4 - 2 + i + 4 - 9. Give f(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*j - 2*q, 5*j - 33 = 2*q - 0*q. Let l(i) = -i**2 + 8*i - 6. Let a be l(j). Let d be ((-48)\/(-9))\/a + -4. Is 1\/2 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/2 - 45997737*m\/2.\nAnswer: m*(m - 45997737)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -192668*q**3 - q**2 - 14*q - 2392 wrt q?\nAnswer: -1156008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.009565 and 12.\nAnswer: 0.11478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 3*c + 18 = 0, -4*p = -114*c + 115*c - 11 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -46*j + 70. Let k(w) = -49*w + 71. Determine -3*k(x) + 4*s(x).\nAnswer: -37*x + 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**3 - 34*b**2 - 302*b - 737. Calculate t(-9).\nAnswer: 685","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 150936674 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**4\/5 + 2232*i**3\/5 + 39012*i**2\/5 + 71344*i\/5 + 6912 = 0. Calculate i.\nAnswer: -540, -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -42, 5, -5, 45, 1.\nAnswer: -42, -5, 1, 4, 5, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**4*m - 304608*g*m - 2*g + 3617872*m with respect to g.\nAnswer: 4*g**3*m - 304608*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-603)\/24)\/(-67)*40*-1.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 7, -1\/2, 2\/5, 8.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of j**7\/210 - 7*j**4\/24 + 13*j**3\/3 + 19*j. Let h(l) be the second derivative of t(l). Differentiate h(d) wrt d.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 85, 0.96294, -5 in increasing order.\nAnswer: -5, 0.96294, 85","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -9 + 30 + -11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -s**8\/48 - s**4\/12 - 4*s**2. Find the second derivative of u(h) wrt h.\nAnswer: -140*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -170*r**4 + 505*r**3 + 15*r**2 = 0. What is r?\nAnswer: -1\/34, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x - 2*x + x)*(-2193 - 28*x**3 + 2193).\nAnswer: -140*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-80)\/(-12)*12\/45. Is i at most 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*d**2 + 57*d**2 - 23*d**2.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 179*b**2*r**2 - 39*b*r**2 + b - 2*r wrt b?\nAnswer: 358*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 145*d**3 - 105*d**2 wrt d.\nAnswer: 870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 19664721?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 10*i. Let n(j) = -12*j + 6. Let g(b) = 3*b + 1. Let f(r) = 6*g(r) - n(r). Determine d(f(w)).\nAnswer: 300*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25676956?\nAnswer: 2, 6419239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*s - 3*s + 3*s)*(-2*s**2 + s**2 - 4*s**2)*(-189 + 189 + 4*s).\nAnswer: -200*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 3:10 AM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-105)\/7*2\/6)\/1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*w - 3*s, -2*s = -7*s. Differentiate 7*a - 3*a - 68 + 12*a + w*a with respect to a.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4332706, 8665414, 12998122, 17330830?\n\"Answer: 4332708*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*4\/(-16) + 28\/88. What is the nearest to -31 in -4\/3, 2\/9, -3, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.107 in -1\/6, -6, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25 + 18 - 543\/(-66) and (-2)\/(-42*8\/180)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200 is divided by 45.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 283 = -4*o + 363, 2*o = 3*q + 325. Let s = o - 105. Does 14 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.08, 3\/150593, 1\/4, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dgghjggwwwjwgwwjd. What is prob of picking 1 h, 1 w, and 2 d?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -4*u**3\/3 - 15*u**2 - 536*u. Let i(b) = -7*b - 29. Calculate -5*f(y) + 6*i(y).\nAnswer: -2*y - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18475368 divided by 4.\nAnswer: 4618842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3\/7 (b) 6 (c) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -34 - 22. Calculate the greatest common divisor of y and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 30. Let z(v) = -v - 12. Let n(m) = 5*m + 49. Let w(h) = d*z(h) + 4*n(h). Let l be w(11). Solve -b + 6 = -2*t, -4*t - 6 = -l*t - 3*b for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2 + (-4*(-3 + sqrt(200) + sqrt(200) + -2))**2*-5) + -2)*-1.\nAnswer: -16000*sqrt(2) + 66000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.5 - 0.5. Let w = -0.038 - 0.012. Let q = 66 + -66.1. Which is the second smallest value? (a) w (b) j (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 12 = -5*k, 2*n + 5*k = k - 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 940084?\nAnswer: 2, 197, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -90*o*u**4 - 27414*o*u**3 - o*u + 322802*o + 45 wrt u?\nAnswer: -360*o*u**3 - 82242*o*u**2 - o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2779 not equal to 5\/118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/10 and -91\/108.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5*((-1220)\/80 + 16)\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 4*i - 5. Let o be n(2). What is the remainder when (-1 + 0)*-35 + o is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -324*a + 590*a - 650*a**2 - 2 - 297*a wrt a.\nAnswer: -1300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 20*b - 65. Let v be n(23). Suppose -2*k - v = -7*k. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirty-two fifths of a tonne?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35064.5cm in micrometers?\nAnswer: 350645000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 136\/70 - 34\/(-595)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -5*l**2 - 6*l - 3. Let t(w) = -16*w**2 - 17*w - 9. Let h(m) = 7*s(m) - 2*t(m). Let y(q) = -q**2 - 3*q - 1. Calculate -3*h(r) + 8*y(r).\nAnswer: r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -74 times -319\nAnswer: 23606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104 (base 8) to base 5.\nAnswer: -233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cljk when four letters picked without replacement from {l: 1, c: 5, w: 3, j: 3, k: 1}.\nAnswer: 1\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1444 greater than 1443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 3:45 AM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 23.96 and -12893957.448.\nAnswer: -12893933.488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of v**6\/180 - 13*v**5\/54 + 41*v**4\/108 + 7*v**3\/9 - 164*v**2. Factor l(b).\nAnswer: 2*(b - 21)*(b - 1)*(3*b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(10\/7)*(r**(-7)\/r)\/r*(((r**(-1\/4)\/r)\/r)\/r)**(-2\/79) assuming r is positive.\nAnswer: r**(-8283\/1106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-9*(-6)\/(-243)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 11:34 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4070 is divided by 1017?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 204418276 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*(i\/i**(-5))\/i))\/(i**(-3\/4)\/i))\/(i**(-3\/5)\/(i*i**(3\/4)*i)))**(-5) assuming i is positive.\nAnswer: 1\/sqrt(i)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 11*v - 25. Let l be (4\/((-4)\/9))\/((-15)\/10). Let t be z(l). Which is the third biggest value? (a) t (b) -21 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 41 = 46 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70265 is divided by 294?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -24075, -24085, -24101, -24123, -24151, -24185?\n\"Answer: -3*a**2 - a - 24071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 3*p + 640. Suppose -4*f - p = -2*v, -5*v + 4*f + 19 + 399 = 0. Let a = v - 37. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72942 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 644573?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6)\/(x*x**2))**47*x**0*x**(-5)*(x\/(x\/(x*x*x\/x**(1\/2)*x)))\/x*x*x*x*x*x*x\/x**(-2\/13) assuming x is positive.\nAnswer: x**(-10903\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(200) + 1 + sqrt(200) + 5 + 0 + ((sqrt(200) + -1 + sqrt(200))*4 - (sqrt(200) + 0 + sqrt(200) + 0 + sqrt(200)))*2)**2.\nAnswer: -720*sqrt(2) + 28809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4229987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 11.856?\nAnswer: -1.1856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3992*b - 15962. Give y(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 118 = -2*f - 311, -z - 4*f = 75. Suppose -3270 = -42*g - 228*g - 300. Calculate the remainder when z\/(-2)*14\/21 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9 + (618780\/15 - 7).\nAnswer: 2, 20627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -0.173.\nAnswer: -0.346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19857412 by 3.\nAnswer: 19857412\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4279 + -4280. Let h(g) = 4*g + 101*g**2 - 2*g + 6*g + 9. What are the prime factors of h(q)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-9)\/2)\/(15\/(-6)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300245.\nAnswer: 5, 11, 53, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 12. Let r = -4 + 4. Suppose 5*f - u + 3*u = r, -2*f - 3*u - c = 0. Solve -t - 15 = f*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, v: 1, f: 1, i: 2, s: 2, e: 1}. What is prob of sequence ies?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -10. Suppose 2*t + 4*l = -2*t - 12, -k*t = -2*l - 14. Let a(m) = 6*m + 13. Let y(q) = -2*q - 4. What is t*a(c) + 7*y(c)?\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1866\/18 + (-2)\/3 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 19) + 19 + 0 + 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 + s. Suppose r - 2*f = -3 - 8, -f + 28 = -5*r. Let c be (-8)\/(-16)*r\/((-5)\/(-2)). Calculate k(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**2 - 1 + 2*g**2 + 7 - 6.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2 - 4 = 0. Let o be (-180)\/(-22) + (-6)\/33. Let w(q) = q - 8 + o*q**2 + 8. Determine w(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 - 1143*o**2 - 23625*o + 24771.\nAnswer: -3*(o - 1)*(o + 23)*(o + 359)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/43052 and -65\/4176044?\nAnswer: 4176044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(((c\/(c\/(c*c\/(c*c\/(c*c*c*c**1))*c)*c))\/c)\/c)*c**(2\/5))\/((c*(c\/c**(-5))\/c)\/(c\/c**(-5))) assuming c is positive.\nAnswer: c**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1578484, -3, -33 in increasing order.\nAnswer: -1578484, -33, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 356\/30 - (2 + (-64)\/30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h - 2*h - 3*h. Let m(o) = -4*o. What is y(m(d))?\nAnswer: 28*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8482, -17532, -27122, -37246, -47898, -59072, -70762?\nAnswer: -82962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -0.4 (c) 0.33 (d) 0.4 (e) 1\/4 (f) -92\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s = -23*s + 15*s + 6*i + 27, 2*s - 12 = i for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 8.328417?\nAnswer: -0.8328417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.4, 0.4, 2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 z when two letters picked without replacement from {g: 3, p: 4, z: 4, q: 4}?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 8:09 AM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cxxa. What is prob of sequence acx?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)*2 + 5.\nAnswer: 5 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -3. Suppose -q + 14 = -b*q. Which is smaller: -8 or q?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 197*j - 1772. Let v be l(9). Which is bigger: v or -4\/953?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42438, 42465, 42542, 42699, 42966, 43373, 43950, 44727?\nAnswer: 45734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -1. Let v = -14 - -16. Suppose -5 = 5*p, -4*p = v*u - p - 15. What is the lowest common multiple of u and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8459 - -9630. Calculate the remainder when c is divided by 49.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345 is divided by 82?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 421343159*i**6 - i**4 + 27356390*i**2 - 14.\nAnswer: 50561179080*i**3 - 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*f - 15*y - 2*y + y + 13*y - 30, -2*f + 15 = 3*y for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -4 - 1. Let i be (x - (-1 - 1)) + 3. Solve 1 = -m - i*r + 7, 0 = 3*m - 2*r - 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/9*(-18)\/(-3). Let q(t) = t**3 + 9*t**2 - 2*t + 7. Let f(z) = -z**3 - 9*z**2 + z - 7. Let g(x) = 5*f(x) + 6*q(x). Is g(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 4*b - 25. What is the remainder when u(26) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3868 divided by -4.\nAnswer: -967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b - 31*b - 95*b + 3613688 = 0. What is the ten thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z + 3*z - 2*z - 7*z - 10. Let w(i) = -i**2 + 2. Suppose 2*t + 1 = -5. Let r be w(t). Calculate d(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 - 0.2. Let h = -0.8 - f. Let q = 11 + -10.9. Which is greater: h or q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 157*v - 780*v - 822*v - 575*v - 244*v in the form i + z*v and give z.\nAnswer: -2264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 + -16. Is b a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttxeeoeooo. What is prob of sequence eo?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183420*q**3 + 91514*q**3 + 92169*q**3.\nAnswer: 263*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.212987 to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101, 165, 229, 293?\nAnswer: 357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 21 - 9 = 0. Suppose -4*g = -5*b - 40, -5*b = -2*g - 3*g + 55. Let a = -15 + g. Put 2, i, a in descending order.\nAnswer: i, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -9*p**5\/5 - 389*p**2\/2 + 24. Find the second derivative of b(q) wrt q.\nAnswer: -108*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - (-72 - -20)) + (-3 - 3).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*d + 44*d + 144 = 0. Suppose -34*t + d*t = 454. Do t and 227 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66982.44mm in kilometers?\nAnswer: 0.06698244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81614 and 178966.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (95\/(-3) - -1) + 2. Let u = -29 - i. What is the nearest to -2\/3 in 3, 1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-1)*u**(1\/4)*((u**(-2\/3)*u)\/u*u)\/u**(2\/15)*(u**0)**9*(u*u**4)\/u*u**(-6) assuming u is positive.\nAnswer: u**(-51\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 1. Let o(m) = -2*m**2 - 2*m + 7. Let f(v) = -v**2 + v. Let h(b) = -3*f(b) + o(b). Let k be h(4). What is r(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13868645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-5))\/(-4)*25\/30.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**2 + 3*d + 1. Let r(v) = -2*v**2 + 4*v + 1. Give -4*a(k) + 3*r(k).\nAnswer: 2*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -6436\/6735?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/96)\/(9\/(-12))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -586 + 579. Let y be o\/((-84)\/(-30))*(-56)\/10. What is the highest common factor of y and 280?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62512?\nAnswer: 2, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -0*i - 10. Suppose 3*k + k - 40 = 0. Calculate the lowest common multiple of k and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/1161 and -73\/1806.\nAnswer: 16254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (8 + -6)) + -5 + 6\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b**2. Let m(q) = 254*q + 3. Give z(m(a)).\nAnswer: -258064*a**2 - 6096*a - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*x - 164*x + 390 = -360*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3852 = 1097*v - 277*v - 392*v for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 7*j**2 - 6*j + 5. Let x be s(-6). Let i = x - 2. Let m = -18.4 + 17.4. Which is the biggest value? (a) i (b) -5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((14\/12)\/(-7))\/((-4)\/24)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3 = 0, 0 = -2*n + 5*a - a + 118. Calculate the remainder when n is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 388, 518, 638, 742, 824, 878?\nAnswer: 898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -415 - -421. Which is the second smallest value? (a) -7 (b) 5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 9:59 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 9*j**2 + 14*j - 19. Suppose q + 19 = 7. Let v be i(q). Let n = v + 1232. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40547 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: What is 126\/(-84)*(-260)\/(-351)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3353584 * 12.\nAnswer: 40243008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + 7. Let b = -2 - -5. What is the lowest common multiple of b and u?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.28 and -28091928300.\nAnswer: -28091928300.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 2*a + 4*u, 4*a - 117 + 63 = 3*u - 55 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, v: 2}. What is prob of sequence ivv?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 - 1.1. Let n = -1.8 - a. Which is bigger: n or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -13*s**5 - 58*s**4 + 1167*s**3 + 2268*s**2 - 18900*s - 44064 = 0. What is s?\nAnswer: -136\/13, -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {q: 1, p: 18}?\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*v**5 + 6*v**4 - 59*v**2 - 169*v + 14.\nAnswer: 60*v**3 + 72*v**2 - 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281*f + 290*f + 36 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1765 times -4?\nAnswer: -7060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 1:51 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) - sqrt(13))*-5)**2 - (sqrt(13) - sqrt(1872)\/sqrt(4)) - (sqrt(832) + 2 + sqrt(13) + (-3*sqrt(1872))**2).\nAnswer: -5150 - 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7570, -15165, -22774, -30403, -38058, -45745?\nAnswer: -53470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -65*l + 7. What is the units digit of s(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/5)\/((-6)\/20). Suppose -3*j + 5*b = 73, 5*j - 2*b + 111 = b. Let r be ((-2)\/j)\/(1\/(-3)). What is the nearest to r in t, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 163 + -161. Suppose 4*c - 407 = -o, -7 = -y*o - 1. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1259*s = 5*v - 1254*s - 10, 0 = -3*v + 4*s + 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/7, -75\/11, -4, 0, 3\/2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d + 16. Let s be g(5). Suppose s*i - i = 0. Solve -1 - 522*f + i + 524*f - f**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115, 118, 123, 130, 139, 150?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-3\/8)\/t)\/t)**(-33)*t**(-11)\/t**(10\/11))**(25\/3) assuming t is positive.\nAnswer: t**(146225\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4 = -4*a, 3*a - 4 + 2 = m. Suppose m*n = n. Let f be (n + -1)\/((-14)\/2). Does 1 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, e: 5, z: 1, b: 4, u: 1, x: 1}. What is prob of sequence mze?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and -0.2289728.\nAnswer: -5.2289728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 6. Let t be (26\/(-10) - -3)*1\/1. Let h = -0.09 + 0.59. What is the nearest to v in -4, h, t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234 = q - 1595. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -6808*h**5\/5 + 10779*h - 2021. What is the derivative of m(c) wrt c?\nAnswer: -27232*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of 1 + 2*a**2 - 3*a**2 + 0*a**2. Let u(c) = -14*c + 84. Let j(p) = -3*p + 16. Let r(q) = 21*j(q) - 4*u(q). Calculate r(i(k)).\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + (30 + -67 - -55).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 176117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3 + 1830*k**2 - 105075*k + 103250.\nAnswer: -5*(k - 295)*(k - 70)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**5 + 22*f**3 + 8*f**2 + 7*f**4 + f + 11*f**4 - 2 - 4*f.\nAnswer: (f + 1)**4*(5*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 75958080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -685*q**3*s**5 - 3*q**3 - 2*q**2*s + q*s**5 wrt s.\nAnswer: -13700*q**3*s**3 + 20*q*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 15 and 1.5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.930507 - -0.93. Round q to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = -4*b + 204, -5*b - 94 = -f - 26. Solve -438 + 96 = -f*a for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000225 to 5 dps.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*((-57)\/(-12) + -4). Suppose 19*i = -5*s + 14*i + 30, -k*i = -12. Solve -2\/5 - s*t + 12\/5*t**2 = 0.\nAnswer: -1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a meter in centimeters?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/2)\/y)**(7\/4)*(y\/(y\/y**(-3\/11))*y)\/y**(1\/2) assuming y is positive.\nAnswer: y**(-57\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**4 - 2*d**4 + d**4)*(-2 - 1 + 5) + (5*d**2 - 2*d**3 - 5*d**2)*(17*d - 13*d - 35*d).\nAnswer: 64*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19515 is divided by 2661?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 207 and 694071.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 15*c**2 + 1. Let r = 9 + 3. Suppose r*o = 6*o + 468. What is the remainder when o is divided by l(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 4*h + 20, -2*p - 12*h + 10*h + 10 = 0. Suppose p = o + w - 25 - 35, 0 = o - 5*w - 66. Round o to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(68)\/sqrt(4) + sqrt(425) + 0 + sqrt(425).\nAnswer: -1 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10841930.\nAnswer: 2, 5, 11, 98563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13835, 55266, 124319, 220994?\nAnswer: 345291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*w**2 + 14*w**2 + 11*w**2 to the form x*w**2 + j*w + c and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/25)*g*g*g**(2\/3)*g*g)\/(g**(15\/7)\/(g\/g**(14\/5))) assuming g is positive.\nAnswer: g**(317\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 270\/(-60)*(-24)\/(-18)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -349*k - 1153. What is the units digit of m(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a century in years?\nAnswer: 3050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4422, 52, -7, -0.4.\nAnswer: -7, -0.4, 52, 4422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21764.6 rounded to the nearest ten?\nAnswer: 21760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 5*h + 3*o, -2*h - 4*o = 10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 12. Sort j, -3, 4 in decreasing order.\nAnswer: 4, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmrrmmrm. What is prob of sequence rr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*(sqrt(76) - (sqrt(76) + -1))*4)**2 - ((-2*sqrt(76)*-2 - sqrt(76))**2 - (-1 + sqrt(76) + sqrt(76) - sqrt(76))**2*4).\nAnswer: -312 - 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2420401853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 517 and 68291?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 48.66846751 to three decimal places.\nAnswer: 48.668","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01309254248 to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129256 = -121*v - 124053 for v.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2, -4, -2111\/48?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40\/21 - 11\/7. Suppose -3*q = 4*n - 2, -4*q - n = 3*n. Which is the second biggest value? (a) s (b) q (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 68\/(-18) + (-16)\/(-4). Put -0.2, -0.6, z in ascending order.\nAnswer: -0.6, -0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5219.37 meters to centimeters.\nAnswer: 521937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 294\/(-490)*(264\/176)\/((-21)\/5)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-44)\/(-176))\/(((-11)\/(-24))\/(-1))\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of 0*l**4 - 2*l**2 + 0 + 0*l**3 - 1\/60*l**5 + 0*l. Let k(g) = -3057*g**2 + 9170*g**2 - 3060*g**2 - 3054*g**2. What is k(v(p))?\nAnswer: -p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14257291*o + 8360266 with respect to o.\nAnswer: 14257291","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**2 + 2*t**2 + 37*t**2 + 2 to p*t**2 + n*t + q and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2194100 to the power of 1\/2, to the nearest integer?\nAnswer: 1481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-28*y + 45*y - 24*y)*(4 - y - 1 - 1) to the form g + p*y**2 + d*y and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14252882, -28505771, -42758674, -57011597, -71264546?\nAnswer: -85517527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000002823 to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 339.7208 millennia to decades.\nAnswer: 33972.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 128291509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -648 + 110. List the prime factors of w\/(-6) - 4\/(4*-3).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9579180 divided by -8\nAnswer: -2394795\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -750 - 3?\nAnswer: -753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 148327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of h**4\/24 + 11*h**3\/6 - 21*h**2. Let f be k(-6). Solve v - 5*n = 4 + 6, -f*n - 15 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8784406 (base 9) to base 15.\nAnswer: 633a70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 3. Let n = -9 + 17. Suppose -d*k = -0*k + n. Which is the biggest value? (a) -0.1 (b) k (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (35 - (-10 + -1) - -3) + (-14 - -6)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvkkvekkvkekevvkkkv. Give prob of sequence kkee.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 369827290?\nAnswer: 2, 5, 7, 173, 30539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -157, -160, -163, -166?\n\"Answer: -3*c - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -275*d - 26. Let i(o) = 87*o + 8. Let u(n) = -13*i(n) - 4*q(n). Let m(y) = 44*y. Determine u(m(j)).\nAnswer: -1364*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p - 35. Let b be m(9). Let x be (2310\/b)\/(-11)*(7 - -1). Calculate the greatest common factor of x and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*d**4 - 87*d**4 - 68 - 60 + 166)*(-6*d + 3*d + 2*d).\nAnswer: 56*d**5 - 38*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 10*v + 14. Let f be o(-9). Let x(i) = i**3 + 23 + f*i**2 + 0*i**3 + 32 - 74 + 21. Let b = -6 + 1. Give x(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqsaqqqqqqssq. What is prob of sequence qq?\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007953396 rounded to 5 decimal places?\nAnswer: -0.00795","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1364 (base 8) to base 14\nAnswer: 3c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106466892 divided by 53233446.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + k**2 + 3 - 2*k**2.\nAnswer: -k**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((6120\/(-595))\/(2\/3))\/((-3)\/21)?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 8*p + 4. Suppose -12 = 19*w + 26. Let q be w*(-4 + (6 - 0)). Calculate i(q).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 7:44 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -6*p - 4. Calculate x(6).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*v = 17*v + 793. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3207, 3713, 4555, 5733, 7247?\n\"Answer: 168*b**2 + 2*b + 3037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*q - 22*q = 4*v + 1, 4*v = -5*q - 7 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 35*i**3 - 11 - 36*i**3 + 25*i**2 - 113 + 17*i**2 + 46*i. Let c be f(43). Solve -4*r - u = -10, 4*r - 9 = -3*u + c for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -272.904634 + 1\nAnswer: -271.904634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**15*j*(j**0\/j)\/j*j**(2\/15)*j*j\/j**(1\/3)*j assuming j is positive.\nAnswer: j**(84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46060 - -46066. Calculate the least common multiple of l and 30219.\nAnswer: 60438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 5117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 12:58 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 5 + 1)*(-41*k + 76*k - 55*k) as r*k + i and give r.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 12:36 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*p - 4. Let y be (-84)\/(-6)*(3 - 10\/p). Solve -3*u + 5 + y = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 210 - 22?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200 (base 3) in base 14?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 1:33 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -12) + (-19 - -28)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 78.0098 - -0.3202. Let q = x - 0.33. Let f = q + -76. Which is smaller: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t - 5. Suppose -3*n + 24 = 2*w, 3*w + 40 = 4*n + n. Let q be (9\/(-6))\/(3\/n). Determine s(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 5. Suppose -4*h + 4*y = -24, -a*y - 25 + 2 = -4*h. What is the first derivative of h - 4 - 2*m - m wrt m?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-900)\/360)\/((-2)\/(-4) - 1). Let m be ((-4)\/6)\/(2\/(-15)). Solve 33 = -m*q - 4*j, -f*q + 10*q + 29 = -2*j for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*a = -37*a - 42 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 10:14 AM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -2*r - 565\/2*r**2 + 25. Is h(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-4375.\nAnswer: 437.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 979963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 e when two letters picked without replacement from eehzhhekekhhhkxk?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 44337.23l in millilitres?\nAnswer: 44337230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 55, 183, 489, 1057, 1971?\n\"Answer: 14*x**3 + 5*x**2 + 15*x + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(4)\/sqrt(2)*2 - (2*sqrt(2) + -3))**2*-4.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.82 + 0.89. Let h = 0.07292 - z. What is h rounded to 4 decimal places?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4783796l?\nAnswer: 478.3796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1855516 and 5304.\nAnswer: 11133096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55.27 + 1.27. Let r = 99 + m. Let c = r - 45.0000105. What is c rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 + -191\/7. Let r = 55.002 + -0.002. Let b = r - 69. Does d = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from vvhvvvhvvhhvvhvvhv?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-76*w - 30 - 53*w + 271*w + 2*w)*(-4 - 2*w + 4) to the form m + r*w + t*w**2 and give t.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g. Let x(w) be the first derivative of -393*w**2\/2 - 908. Calculate u(x(m)).\nAnswer: -786*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -18*y + 155. Let t be w(8). Suppose -957 = -t*d + 440. What is the remainder when d is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 7 + 4)*(2 + 1 - 2)*(-1428 + 3*s + 1428) in the form c*s + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 2:14 PM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 + 30*r + 16*r - 39*r in the form n*r + l and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5 = 0, 7*c - 2*c + 4*x - 175 = 0. Let p = c - 27. Solve 2*h + 2*h - 20 = 3*r, -4*h = p*r - 20 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 5. Suppose -5*o + k = -37, -13*o = -10*o + 2*k - 30. Find the third derivative of 2*v**6 - o*v**6 - v**6 - 17*v**b wrt v.\nAnswer: -840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109842, 109023, 107654, 105735?\nAnswer: 103266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 25144 divided by 25144\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -i**5\/20 - i**4\/4 + 2*i**3\/3 - 22*i. Factor f(k).\nAnswer: -k*(k - 1)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 135 - -38\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17089, -33651, -49681, -65179, -80145, -94579?\nAnswer: -108481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/(-4))\/3*-2)\/(7\/49)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-718425)\/30)\/(3\/(-28)). Is (3\/(-6))\/(-8 + s\/27940) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -307.8996 - -49.90065. Let r = o - -258. Round r to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -c**5\/20 + c**4\/3 + 7*c**3\/6 - 5*c**2\/2 - 6*c. Let l be v(5). Let i(k) = k + 1. Let q(j) = 1. What is l*i(o) - 5*q(o)?\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -z**6\/8 - 9*z**5\/20 - 3*z**4\/8 + z**3\/2 + 9*z**2\/8 + 3*z\/4 + 42. Factor a(g).\nAnswer: -3*(g - 1)*(g + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2104346 (base 7) to base 14\nAnswer: 68626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1762303567 and 0.2.\nAnswer: 0.0237696433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8163.824 seconds to milliseconds.\nAnswer: 8163824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/20*(-1030)\/(-9373).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 466, 934, 1402, 1870, 2338?\n\"Answer: 468*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.06, -269\/2, 0.7679?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jpc when three letters picked without replacement from mplprlcrjllmccllrlm?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/(-104) - (-215)\/(-360)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3 - 94420*m**2 + 471905*m + 1321530.\nAnswer: 5*(m - 18879)*(m - 7)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1373 - 1368. Which is the closest to -0.2? (a) -0.2 (b) f (c) -1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 67, 61, 55?\n\"Answer: -6*f + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80916.48t to nanograms.\nAnswer: 80916480000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 29 = -4*p, 81*m - 88*m - 39 = -4*p for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 147927301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/14 - (-16)\/2800*7305. Suppose -71 - 11 = -2*r. Which is smaller: r or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 h when three letters picked without replacement from yhybhbyoo?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -53603928*i + 228888181?\nAnswer: -53603928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10550 + 10576. Solve 0 = 5*g + 4*q - 20, -42 = -4*g + 3*q - f for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1505834 - 1075441. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27911\/10 - 2786. Find the common denominator of -35\/541 and w.\nAnswer: 5410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (109\/981)\/(6*(-2)\/(-27))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33786 - 5759. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 7*b - 133. Let m be o(25). Calculate the highest common factor of m and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 3 - 11) + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72)\/(sqrt(4)*2).\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 122*t - t**2 + 512*t + 1 - 216*t as y*t + z + q*t**2 and give y.\nAnswer: 418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**6*z**7)\/(z*(z*z\/(z**(-1\/4)\/z))\/z)**(-1\/28) assuming z is positive.\nAnswer: z**(1581\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l - 2. What is d(-7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011101 + 100011011100111100110?\nAnswer: 100011011100101001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -26.215 * 2\nAnswer: -52.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -100 + -6 + (204 - 161).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of y**3\/6 + 5*y**2 + 3*y + 13. Give q(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 311033230200?\nAnswer: -311033230202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1844?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s - 2*s - 270 = -30*s for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/8 (b) 10 (c) 2\/11 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131022 (base 4) to base 2.\nAnswer: 11101001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 12*q**3 - q**2 + q. What is c(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 6. Let g = 12 + -9. Let q be 20\/(g\/(-18)*a). Calculate the highest common factor of 10 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yemeyyeeezpmzezyeey. Give prob of picking 3 y and 1 m.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**2 + 2*d**2 + d**3 + (0*d**3 + 4*d**3 - d**3)*(1 + 0 - 2) + (5*d**3 - 9*d**3 + 8*d**3)*(-3 - 3 + 2) to a*d**2 + n + h*d**3 + x*d and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 705.59 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -128 (b) 1 (c) -3\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*4\/(32\/(-8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 77676439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 390*f + 552*f + 505*f - 211*f.\nAnswer: 1236*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 p when three letters picked without replacement from {h: 2, p: 8, z: 2, j: 3, k: 4}?\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -0 - 2. Let r(u) = u**3 + 2*u**2 - u. What are the prime factors of r(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j + 1. Let m be 1*-4*(-57)\/(-12). Let y = 5 - -10. Let i = y + m. Let h(c) = -2*c + 4. Calculate i*t(b) + h(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**3 - 3*c**2 + c - 4. Let m(w) = 3*w - 3*w - w + 8 + 0*w. Let d be m(5). Is t(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/6 and 85\/76103608.\nAnswer: 228310824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 36?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from omeomwosoosswwsow.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**4 - 2*f**2 + 0*f**4 - 848*f + 846*f + 14 in the form j*f**2 + x*f + h*f**3 + c + s*f**4 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/6 of a year?\nAnswer: 34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 7*y**2 + 6*y - 7. Let r be w(-8). Let l = 9 - r. Suppose 0 = -2*t - l*k + 5*k + 76, 5*t = -2*k + 190. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2390607?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 232702777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/4 + 3\/(-12). Let k = 7 - 8. Is k < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 158 and 271760?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1056*x**3 + 0 + 0.\nAnswer: 1056*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 21. Suppose -d*l + 8*l = 356. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -352347 (base 12) to base 11\nAnswer: -533792","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9816 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 7 + 6)*(14*x**2 + 2*x**2 - 8*x**2) to the form q*x + l*x**2 + t and give l.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5631755?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -3 + 15. Is w a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 4*z = 5*z + 14, -11 = -2*p - 5*z for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4\/9 (b) 683.9 (c) 1.9 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*w - 28 + 78 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 215 = 5*d, -6*i - d = -4*i - 221. What is the remainder when 1096 is divided by i?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114, -227, -340, -453, -566, -679?\nAnswer: -792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -19*h. Give u(2).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**3 + 5*k**2 - 2*k. Let f be z(3). Let r = f - 98. What is the units digit of (-2)\/r + 1252\/20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 916501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 546.43 rounded to 0 decimal places?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/7 + 104*a\/7 - 42.\nAnswer: -2*(a - 49)*(a - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1957662, -3915429, -5873196?\n\"Answer: -1957767*p + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54600\/189 + 1\/9.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17314*f**3*p - 276*f**3 - 1 wrt p?\nAnswer: -17314*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**2 - 7*w - 8. Let z(q) = 2*q**2 - 6*q - 7. Suppose -k = -2*v - 28 + 27, -5*v = -5*k - 15. Determine k*z(y) + 6*o(y).\nAnswer: -2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43 + 46. Calculate the remainder when 9 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*i = 52*i + 30. Suppose -3*u + 3*h = 2*h - 6, -u - h = -i. Let p(k) = k**2 - 3*k + 2. Let n(z) = 2*z - 1. Let d = 2 + 0. Give d*p(l) + u*n(l).\nAnswer: 2*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -245 + 195. Find the common denominator of g\/325 + 2207\/(-780) and -2\/55.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -200*l + 636. Let n be x(3). Calculate the greatest common divisor of 996 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -158*9187.61.\nAnswer: -1451642.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15009183 times -0.1?\nAnswer: -1500918.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xsz. What is prob of picking 1 s and 1 z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -40*n**3 - 9*n**2 + 29*n - 5. Let c(p) = -54*p**3 - 10*p**2 + 30*p - 6. Determine -3*c(h) + 4*t(h).\nAnswer: 2*h**3 - 6*h**2 + 26*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.21 != 323\/224?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218521*y**3 - 109266*y**3 - 109252*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 11*i**2 + 3*i - 6. Is f(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -61\/3 - -21. Let f = 0.631 - 3.631. Which is the fourth smallest value? (a) x (b) f (c) -3\/4 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a minute in seconds?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.8 rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 89.96 + 0.04. Let r = -89.99998488 + i. What is r rounded to 6 decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 6*c - 784 = 4*c. Calculate the greatest common factor of 12 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*s + 140*s - 74*s + (-1 - 1 + 1)*(-5 + 5 - s) - 3*s + s + 3*s + s + 11*s + 12*s + 3 - 2*s - 3 to q*s + y and give q.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 3*x - 7. Suppose -7*k + 6*k = 10. Let u be 4\/k + (-27)\/(-5). Let f be n(u). Solve -2*o = -f*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*n + 34*n = 1715. Calculate the greatest common factor of n and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1964*u - 1685 + 3370 - 1685 to b*u + k and give b.\nAnswer: 1964","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6091200 and 29779200.\nAnswer: 268012800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**6\/24 - 3*x**5\/20 + x**4\/16 + x**3\/4 - x**2\/4 - 225. Determine b so that i(b) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2\/3*x**2 + 227138\/3 + 1348\/3*x = 0.\nAnswer: -337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 219928760 or -1\/4?\nAnswer: 219928760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -294*y - 21. Let z be l(-5). Let t(b) = z*b**2 - 3 - 1448*b**2 + 10*b - 7. What is t(-10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107, -81, -41, 13, 81, 163?\nAnswer: 259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 - 16 + 6)*(3*v + v - v) in the form w + u*v and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/4*f**2 + 1\/4*f - 1\/4*f**4 - 1\/4*f**3.\nAnswer: -f*(f - 1)*(f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - i - 33 = -2*a, 5*i = -5. Let r = 4 - -1. Suppose -a = r*v - 60. What is the remainder when v is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.8 and -36695.\nAnswer: -66051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18172 = -2717*y - 2692*y + 5563*y for y.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177 = -5*u - b, -4*u - 3*b + 41 + 105 = 0. Let h = u - 106\/3. Let l = 4 - 2. Which is greater: h or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*j**3 + 2794860*j - 2794933*j + 10*j**3 - 14*j**3.\nAnswer: 5*j**3 - 73*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.7 - 0.3. Let v = 0 - 0.1. Let f = 49 - 48. What is the nearest to f in v, j, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2003628*f**3*z - f**3 - 89315*f**2 + 73*f - 36*z - 4 wrt z?\nAnswer: 2003628*f**3 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 i when three letters picked without replacement from {v: 1, y: 5, i: 3, a: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -b - 0*b. Let q be ((-26)\/b)\/((-17)\/(-255)). Let s = q - -159. Does 27 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (11 + 11 + -11).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 33*x**2 + 61*x - 35. Calculate c(-31).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/5 - 81\/(-45). Suppose -6*j + 35 = -j. Calculate the lowest common multiple of (-4)\/f + j + 15 and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 4. Let s(x) = k*x - 3 + x**3 + 3 + 5*x**2 + 5. Let o(z) = 27*z - 221. Let b be o(8). Calculate s(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 6*c + 2. Calculate w(-4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 192235 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1647 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.048, -168, -4 in increasing order.\nAnswer: -168, -4, -0.048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of g**4\/4 + 2*g**3 + 7*g**2\/2 - 8*g + 423. Calculate m(-6).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u - 22. Let g be d(25). Solve 5*z - 4*b = -4 + g, -7 = 3*z + 4*b for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nc when two letters picked without replacement from nznczztqz?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(-1\/6)*i)\/i*i**(-1\/6))\/(i**5*i*i*i**3\/i))**8 assuming i is positive.\nAnswer: i**(-64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 - 6*x - 10\/3 + 2\/3*x**3.\nAnswer: 2*(x - 5)*(x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -60\/71 or -2?\nAnswer: -60\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6512 (base 7) to base 13.\nAnswer: -108b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, p: 4, g: 3, h: 2}. What is prob of picking 1 q and 1 g?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177 = 2*j + 169, -5*g - 65 = 5*j for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n + 65 = 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24517aa (base 14) to base 12.\nAnswer: -59b53b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 3 - 200*f + 65*f - 104*f to d + j*f and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-41 - -51) - -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -5*s**2 - 2*s - 2. Suppose 4 = 3*c - 4*h + 34, 3*h + 21 = -5*c. Let q(o) = -6*o**2 - 2*o - 2. Calculate c*q(w) + 7*l(w).\nAnswer: w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11, -1, 21, 61, 125, 219?\n\"Answer: o**3 + 3*o - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 24 = 4*q, g - 6 = -2*q + 3. Suppose 11372 = 3*t + 4*r + r, 0 = q*t - 5*r - 19020. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 15 = -5*x, x - 6*y + 32 - 37 = -3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 168825 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -597, -2\/3, 0.1, 1\/2 in descending order.\nAnswer: 1\/2, 0.1, -2\/3, -597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1060320?\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -600 + 16?\nAnswer: -5ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/5))**(2\/79)\/(s**(-4\/25)*s*s*s*s*(s**(-20)\/s)\/s*s))**(-46) assuming s is positive.\nAnswer: s**(-1559446\/1975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -31 + -a?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10684 divided by 5541?\nAnswer: 10684\/5541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k**3 - k**2 + 13*k - 7. Let g(d) be the second derivative of d**2 - 2\/3*d**3 + 0*d**4 + 0 - 1\/20*d**5 - 83*d. Determine 2*c(p) + 7*g(p).\nAnswer: -p**3 - 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h - 5. Let c be k(-3). Suppose -25*a - 56 = 119. Is a < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, w: 2}. What is prob of sequence ff?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8698.\nAnswer: 2, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -17403, -34798, -52193, -69588, -86983, -104378?\n\"Answer: -17395*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -6*x - 8. Let b(n) = -n. Let p(l) = -5*b(l) + z(l). Let h be p(-8). Solve c = 4 - h for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 63 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 358 and 164541991?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a decade in years?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 343, 338, 333, 328?\nAnswer: 323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 + 33. Let z(r) = r - 2. Calculate z(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 110 + -12?\nAnswer: fe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -9*a. Let m be 4\/6 + 17\/(-3). Let h(d) = 2*d**2 + 4. Let f(j) = -2*j**2 - 5. Let s(b) = m*h(b) - 4*f(b). Determine s(t(v)).\nAnswer: -162*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h + 7*m + 120, 4*h + 7*m + 98 - 53 + 79 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 400\/(-26825) + 6 + (-1892)\/319.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oooo when four letters picked without replacement from mmhrohhrhorhrmhmroh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/15, 2148, 0.4, 5, -4\/7, -14.5?\nAnswer: 2148","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4902 + 4902 - 379*f**3 + 378*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - f = -3*f - 9, 2*f + 12 = 4*w. Let h(z) = 5 - 3 + z - 5 + w. Give h(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*l*m*p - 3*l - m*p**3 - 3*m*p + m - 163*p**3 + 4*p**2 with respect to m.\nAnswer: -20*l*p - p**3 - 3*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 15.6, -107, 0.05, -3\/4?\nAnswer: 15.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/2 + -4 + (-33)\/6. Let h(a) = -5*a - 8. Give h(x).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 76521, 76520, 76521, 76524?\n\"Answer: l**2 - 4*l + 76524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -60*g + 53*g + 455. Calculate the highest common factor of 13 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -21*m - 21. Let f be (-3)\/(0 + 3)*(-51)\/(-3). What are the prime factors of l(f)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*r - 4 = r, 0 = -2*j + 4*r + 20. Suppose 0*c + 3*z = j*c + 4, -3*z = 2*c - 20. Calculate the highest common divisor of c and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 109 - 36. Let f = t - -1. Is f a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -1) + (17 - (3 - 1))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, o: 1, l: 2, i: 6}. Give prob of picking 2 k.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**(2\/33)))\/(f**(19\/3)\/f*f) assuming f is positive.\nAnswer: f**(-69\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2\/5, -2, 1\/3, 253?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*y**2 + 51\/4 - 13*y.\nAnswer: (y - 51)*(y - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -303, -8, 473, 1146, 2017, 3092, 4377, 5878?\nAnswer: 7601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5917304*n**4 + n**3 + 1062154*n**2 - 8*n wrt n?\nAnswer: 142015296*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/56)\/((-36)\/(-28)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 7*y**2 - 8*y. Let r(l) = -5*l + l - 2*l**2 + 5*l**2 + 0*l. Let z(k) = 4*a(k) - 9*r(k). Let t(u) = 3*u**2 + 11*u. What is -4*t(o) + 11*z(o)?\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -59 + 56. What is the third smallest value in -0.1, -0.5, 2\/27, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 117\/4 (c) 0.11 (d) -7 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, g: 3, i: 1}. Give prob of sequence gg.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: Suppose 0 = 6*n + 2*n - 19624. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-52)\/(-13)*1905\/20. Suppose 17 + 114 = -t. Let b = l + t. What is b rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*7*6\/(-630)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2804 divide 61253504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/510 and 23\/1020.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.1, 0.04, 3, -0.4, 4, -671.7, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -q**6\/6 + 62*q**5\/5 - q**2 - 14*q + 128. What is the second derivative of n(h) wrt h?\nAnswer: -20*h**3 + 744*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4 + 324*u**3 - 1656*u**2 + 2332*u - 1002.\nAnswer: 2*(u - 3)*(u - 1)**2*(u + 167)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, d: 1, o: 1}. What is prob of picking 1 u and 1 o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 16 = 18*r - 20*r, -4*a = 16. Let y = -2 - -4. Solve 4*b - y*k = 26, r = -k - 2*k - 9 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-2) - (0\/3)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-348.\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 17*w - 14. Let i(b) = 2*b**2 - 32*b + 29. Let j(u) = 3*i(u) + 5*x(u). What is j(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 - 9. Let i be 39 + -2 + 9\/3. Calculate the highest common divisor of i and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a - 28. Let y be d(-16). Let c = y - -54. Let o be (13\/c)\/((-1)\/3)*2. Calculate the highest common divisor of o and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.076377 and 10411591.48.\nAnswer: 10411591.556377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3232020441 + 5?\nAnswer: 3232020450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4397?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (55 + 40 - 34)*(2*m + 6*m + 3*m)*(-1 - 2 + 4) in the form q + u*m and give u.\nAnswer: 671","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*t - 186 = 0, 4*t - 271 = -3*l + 5*t. Let g = l - 87. Solve 0 = y - 5*y + g*d + 12, -4*y + 19 = 3*d for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 h when four letters picked without replacement from fhhfufhffhrfrf?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 582 (c) -3 (d) -0.1 (e) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-5)*(639\/(-27) - -24)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 108506*i + 1. Let r(d) = 485*d**2. Give x(r(l)).\nAnswer: 52625410*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -355154994 or -0.2?\nAnswer: -355154994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26461.\nAnswer: 47, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/16950 and 137\/16950?\nAnswer: 16950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100 + 10000?\nAnswer: 11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -2*a - 0 + 30, 5*x - 45 = -4*a. Suppose d - 6*d + 40 = -a*m, -4*d + 17 = m. Is 1\/((9\/(-3171))\/m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + i**2 + i - 63. Let n be w(0). Let c be 94\/14 - 18\/n. Is -487*1*(-8 + c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208)\/sqrt(4))\/sqrt(4)*-1)**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 10, z: 9}. What is prob of sequence zzv?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12111 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: Let w = -0.493 + -2.507. Which is the biggest value? (a) -4 (b) -3\/8 (c) 15\/2 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 165\/(-22)*(1 - -1)\/12.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 6 + 3*g - 5*g - 4. Let k(h) be the second derivative of h**3\/3 - h**2 - 15*h. Calculate -3*k(w) - 2*l(w).\nAnswer: -2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*k = 4*k + 6, 7 = 2*i + k. Solve -5*b + 1 + i = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvppqpqpqqvvpppq. What is prob of picking 4 q?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (32274\/(-212226))\/((-22)\/14)\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - 4*n - 52, 24948*c = 24933*c + 5*n + 145 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 150\/4*(6321788\/(-132) + -17). What is u rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/16*-4)\/((-12)\/24).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-16)*-2)\/((-153)\/612).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -3*d - 5*c, 9*d - 23 = 11*d + 3*c. Let g(s) = -s + 2. Give g(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddtk when four letters picked without replacement from dmdmktq?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + 27. Put 5, k, -4, 4 in increasing order.\nAnswer: -4, k, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - ((-7)\/((-14)\/4) + -1). Suppose -705 = p*w - 17*w. What is the remainder when 232 is divided by w?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3734966476 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154 + 126 = -4*f + 4*r, 2*f + 2*r + 10 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 4, 0.2, -131.8, 1\/21, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyvg when four letters picked without replacement from {v: 2, w: 1, g: 1, y: 6, x: 8}?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/291 and -121\/224652.\nAnswer: 224652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 65 - 9 = -2*o, 74 = -3*o - 4*j for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -17*z + 339. Calculate i(-1).\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (47 + 7 + 25)*(-5*l + 2*l + l) - 4*l + 3*l + 0*l + 50 + 21 to w*l + q and give q.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0782 and 758.1.\nAnswer: 758.0218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5856572?\nAnswer: 2, 1464143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 0, -2, -20, -66, -152, -290, -492, -770?\n\"Answer: -2*n**3 + 4*n**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 5 + 0 - (-7 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001011010011001 + 11001?\nAnswer: 111001011010110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 8*u - 6*u, -3*f - 2*u + 3 = 0. Calculate the remainder when (-464)\/f*63\/(-28) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 + -22. Let h be (-3)\/c + (-74)\/(-8). Suppose -3*w + 12 = t, 3*t + t - 5*w + 3 = 0. Calculate the greatest common divisor of t and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssbsbtbssbs. What is prob of picking 1 s and 1 b?\nAnswer: 16\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.07 from 0.59.\nAnswer: 0.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0548341 to three decimal places.\nAnswer: 0.055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 87319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12 - -10)\/(1\/(-39)).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of o**5\/30 - o**4\/4 + 2*o**3\/3 + 12*o**2. Factor i(y).\nAnswer: 2*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4 + -0.1. Let t = a + 0.2. Let o = 25 + -24.9. What is the closest to o in -5, t, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -87 + 90. Solve -2*p = -13 + x for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.3 + 7. Let u = -0.2 + p. Let i = -46.3 - -47.3. What is the nearest to 2\/7 in u, -1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 90 - 158 + 98)*(-4*y - y + y).\nAnswer: -4*y**2 - 120*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 102936?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274439 is divided by 91474?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 9) to base 7\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -915*p**4 + 915*p**4 + 49*p**5 + (p - p + 4*p**3)*(p**2 - 4*p**2 + 5*p**2).\nAnswer: 57*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 502 and 36708?\nAnswer: 18427416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 120*v - 40920. Let h be c(341). Factor -1\/4*t**2 + 1\/4*t**3 + 0 + h*t.\nAnswer: t**2*(t - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27266 divided by -7.\nAnswer: 27266\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 28*n**2 + 26*n - 1269. Let x be i(27). Solve 157*v = x*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**6\/120 - v**5\/12 - v**4\/4 + v**3\/6 - 13*v**2. Is z(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4, -28, -80, -166, -292, -464?\n\"Answer: -a**3 - 8*a**2 + 7*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27? (a) -0.3 (b) -3 (c) -12 (d) -1363\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16058 and 46624.\nAnswer: 12075616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or 5?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -397\/3 (b) 0.2 (c) 16976\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 365 - 98*k + 332*k - 367.\nAnswer: 234*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2171a06 (base 12) to base 9\nAnswer: 12876716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(-9)\/90*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2231219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4487 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 30 = -5*y. Let o be y*1*(-197)\/1. Round o to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1430121 (base 8) to base 5.\nAnswer: -100434320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 5*c**2 + 10*c + 2. Let n(o) = 2*o**3 - 4*o**2 + 11*o + 3. Let f(l) = 2*n(l) - 3*p(l). Suppose 3*z - 1 = -k, 3*k + k + 44 = 4*z. What is f(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**3 + 0*z**3 - 66288*z + 1488 - 1488.\nAnswer: -z**3 - 66288*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -141*l - 2. Let i be n(2). Let d be 2\/(-6)*(-10149)\/(-17). Let k = d - i. Calculate the highest common factor of 17 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of l**6\/20 + l**4\/3 - 2*l**2 + 12*l. Let c(o) be the first derivative of i(o). Find the second derivative of c(p) wrt p.\nAnswer: 36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + q. Let d(s) = 4*s**2 - 7*s + 9. Let i(o) = d(o) - 2*j(o). Calculate the remainder when i(7) is divided by 4\/(-4) - -14 - -2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/96 and 79\/5952.\nAnswer: 5952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*n**3 - 36*n**2 - 13*n**3 - 15*n**3 + 34*n**2.\nAnswer: 4*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 396*p - 5146. Let t be g(-13). Solve 0 = t*x - 181*x - 90 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 856\/963 + (-255)\/297.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 245 = 5*r, -s - 3*r = 2*s - 378. Let o = -52 + s. Let q = o + -51. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 54 and 18.688.\nAnswer: 1009.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 720693 or 0?\nAnswer: 720693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pfpfppppfpfpppffppp. What is prob of picking 3 p and 1 f?\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 6*k + 3. Let h be k\/(-12) + (-20)\/(-6). Solve 4*i - 87*i**h + 21*i**4 + 26*i**2 + 42*i**4 + 34*i**3 = 0 for i.\nAnswer: -1\/3, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-24)\/20*255\/(-6) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/134767 and -83\/304.\nAnswer: 2156272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - y + (-92 + 36 - 68)*(2*y + 0*y - 3*y).\nAnswer: 123*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 48 = -2*t, 0*k - t + 80 = 5*k. Let j be (1921\/(-1))\/(17 - k). Let f = -21096\/11 - j. Find the common denominator of f and 15\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**21*k)\/k**(-1\/22) assuming k is positive.\nAnswer: k**(485\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 2*g**2 - 2*g - 4. Let b be v(3). Put -2, b, -4, 3 in ascending order.\nAnswer: -4, -2, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 8*b - 3. Let l(o) = 39*o + 766. Calculate -10*j(q) + 2*l(q).\nAnswer: -2*q + 1562","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/9)*((p*p**(1\/7)*p)\/p)\/p*p**(2\/17)\/p*p*(p\/p**13)\/p*p assuming p is positive.\nAnswer: p**(-12335\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 5*y = 2*l + 93, 4*l - 124 = -y. Let b = l - 19. Let u = 17 + 18. Calculate the remainder when u is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 99*g - 4 + 41*g - 49*g as d*g + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 288217254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 0, -c - 5*p + 48 = -3*p. Let r be (4\/6)\/(8\/c). Find the second derivative of 0*o**r - 62*o + 46*o - 7*o**4 wrt o.\nAnswer: -84*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/609 greater than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-d + 3*d - d)*(-462 + 205 + 0) + d - 4 + 4)*(-1 + 2 - 3).\nAnswer: 512*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*u - 20 = -5*j, -4*u = -5*j - 5. Suppose s + 4*q - 94 = 0, 360 = u*s - q - q. Let r = s - 50. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 154 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66931\/2807574 - 2\/66847. Let k(h) be the second derivative of -j*h**4 + 0*h**3 + 1\/7*h**2 - 34*h + 0. Solve k(m) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -7 - 5 - 2 - 18*w - 7*w**2 - 11*w. Let c be g(-13). Round c to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -686\/3*x**7 + 392\/3*x**4 + 392\/5*x**5 - 4802\/15*x**6 - 5*x - 32\/3*x**3 + 0 - 32*x**2. Solve r(q) = 0 for q.\nAnswer: -1, -2\/7, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.155, 0.0468, 3?\nAnswer: 0.0468","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hyh when three letters picked without replacement from hahhhhjahjyaaapaahh.\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/128*-1*(-15)\/5.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17958931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56280, 56278, 56276, 56274?\nAnswer: 56272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 5 - (-16 - -15)\/((-3)\/(-81))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 41.5 and 12404628.\nAnswer: 12404669.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6458, 12900, 19338, 25772, 32202, 38628, 45050?\n\"Answer: -2*d**2 + 6448*d + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87 - w**2 + 0*w**2 - 64.\nAnswer: -w**2 - 151","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and -40648674.\nAnswer: -40648674.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s - 8. Let w be q(6). List the prime factors of 1 + (44 - w - 3).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 28.2\nAnswer: -28.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 6*h**2 - 8*h + 2. Let l be t(-7). Suppose -41 = -2*p - l. Calculate the remainder when 62 is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 0. Suppose 92 = s*k + 2*r - r, -2*k + 4*r = -46. Is k a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42 or 23258?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 236066 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -11. Suppose -3*l = u + 5. Let r = 1 - l. Calculate the least common multiple of 2 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1062 not equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-42)\/135)\/7)\/(1362\/45490). Let a = k - -2\/681. What is the common denominator of a and -52\/3?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 8*v**2 + 10*v + 14. Let q be a(6). Suppose 71 - 63 = q*u. Solve 0 = -u*b + 11 + 9 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 193530 and 193516 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3929, -23, -1409.\nAnswer: -3929, -1409, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-260)\/(-2))\/(-5)*15\/(-30)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 - 28.77. Let i = -0.51 + n. Let g = i - -0.08. Put -1, g, -3 in increasing order.\nAnswer: -3, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9201796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -509.\nAnswer: -5\/509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-477)\/(-18))\/((-1)\/2). Let f = w + 55. Calculate the greatest common divisor of f and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f + 4. What is the remainder when i(14) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 910399975 to the nearest integer?\nAnswer: 969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1*((1 + sqrt(171) + -6*sqrt(171) + sqrt(171) - (-3 + sqrt(171) + 5)) + 3)*-1)**2.\nAnswer: -150*sqrt(19) + 4300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = l - 15. Suppose j - 5*a + 62 = 4*j, 92 = l*j - 3*a. Suppose -c + 1 = g, c - 5*g = -2*c + j. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -46 and 262787.6.\nAnswer: 262741.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1105690*j**2*s - 2344969*j**2 + 14*j*s - 2 wrt s?\nAnswer: 1105690*j**2 + 14*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7881350 rounded to the nearest 100000?\nAnswer: 7900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-32 - -4) - (-5 + (-10 - -22))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -507*g - 144*g - 394*g - 75*g to the form u*g + p and give u.\nAnswer: -1120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -4*g**2 - 10*g + 4*g - 4*g - 6*g = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -421759 and -0.22.\nAnswer: -421759.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + (-4 - -5))\/2. Is q != -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 163, 9, 2\/5, 0.2, 0.165, 2, -1.\nAnswer: -1, 0.165, 0.2, 2\/5, 2, 9, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2108\/5 - 18133\/30. Let q = 180 + v. Calculate the common denominator of -25\/48 and q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(((l**(4\/31)*l)\/l)\/l)))**(-43))**(2\/21) assuming l is positive.\nAnswer: l**(774\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-535)\/(-30) - (-1)\/6. Let v = j + -13. Suppose v*l - 21 = 29. What is the remainder when 18 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 + 3*i - 6. Let v(u) = -u**3 + 7*u**2 - 11*u + 22. What is the remainder when r(6) is divided by v(5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*(t**(-4)*t)\/t)\/(t\/(t\/t**4)))**(-16))**(-2\/57) assuming t is positive.\nAnswer: t**(-224\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 10513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1837768.\nAnswer: 2, 17, 13513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*3 - (6 + -2 + -1). Which is the nearest to k? (a) -4\/7 (b) -0.5 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 17, 7, -3?\n\"Answer: -10*r + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-12)*-2)\/(-1*(8 - 11))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 8*o + 20. Let n be r(-3). Let u = -268 + 1344\/5. Which is the closest to 1? (a) u (b) n (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -39474, -35484, -28834, -19524, -7554, 7076?\n\"Answer: 1330*h**2 - 40804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 3 = 3*f, -4*f + 3*f = 4*w - 10 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (1 - -6) + -11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*q - 679 - 289 - 797 + 505 = 0 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24772 + 24783. Solve 1 = 2*t + 2*q + x, 2 = -2*q for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1076214 to the nearest integer?\nAnswer: 1037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2.483, -1070, -0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 8*k - 12. Let m(d) = 1. Let f(z) = j(z) + 5*m(z). What is the smallest common multiple of f(-3) and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19a9191 (base 14) in base 11?\nAnswer: -7239172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a kilometer in meters?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 4*b - y - 19, -2*y = -3*b + 17. Suppose 0*v = -b*v. Solve 3*j + v*j = -15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 6*q**3 - 2*q**2 - 5. Let k(b) = -9*b**3 + 3*b**2 + 8. What is 5*k(w) + 8*x(w)?\nAnswer: 3*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xwbwbbsxxsx. What is prob of sequence xwb?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 25876, 25756, 25636, 25516, 25396, 25276?\n\"Answer: -120*q + 25996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 5*z**2 - 171500*z + 1470612500 = 0.\nAnswer: 17150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-14)*f)\/f**(2\/19)*f**(-7)\/((((f**1\/f)\/f)\/f)\/f))**(-2\/35) assuming f is positive.\nAnswer: f**(130\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53536 and 4256.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28\/(-154) - 4\/(-22). Solve -c + 5*x = -17, -5*x + n = 15 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -282813 minus -1431273?\nAnswer: 1148460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001808689847 to 7 dps.\nAnswer: -0.0018087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p. Let t be o(-7). Suppose -t = 3*u + 8. Let s(q) = 0 - q - q**3 - 3 + 2*q + 7 - 4*q**2. Calculate s(u).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -59*o**5 + 2*o**3 - 13*o**2 - o. Let a(r) = 59*r**5 - 3*r**3 + 13*r**2 + 2*r. Let i(m) = 2*a(m) + 3*d(m). What is the third derivative of i(g) wrt g?\nAnswer: -3540*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 8*w**3 + 9*w**2 - 14*w - 124. Let y(z) = 5*z**3 + 6*z**2 - 10*z - 83. Determine 5*j(a) - 7*y(a).\nAnswer: 5*a**3 + 3*a**2 - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -1313?\nAnswer: 6\/1313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 5*x**5 - 160*x**4 + 875*x**3 + 7380*x**2 - 8100*x = 0.\nAnswer: -5, 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54166*-145.74.\nAnswer: -7894152.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22\/5, 0, 1\/3, -0.2 in ascending order.\nAnswer: -22\/5, -0.2, 0, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**3 + 138*t**2 + 375*t - 516 = 0 for t.\nAnswer: -43, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 394150178.\nAnswer: 2, 47, 4193087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -188 - -200. Suppose y*i - 384 = 252. What is the least common multiple of 9 and i?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 409253 + 8?\nAnswer: 409261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -262199*s**3 + 131107*s**3 + 131104*s**3.\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 8 = s, 811*j - 814*j - s = 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) - ((0 + sqrt(275))*3 - sqrt(275)) - 5*(1 + sqrt(275)))**2.\nAnswer: 300*sqrt(11) + 9925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 2*l - 6. Let r(h) = h**2 + 10*h + 11. Let y be r(-8). Let d be f(y). Let o be 8\/36 + 16\/d. Put -0.4, 1, o in descending order.\nAnswer: o, 1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -53*j - 47. Let x = -228 - -217. What is the remainder when b(x) is divided by 60?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -283 + 301. Suppose -4*a - 13*g = -b*g - 62, 5*a + 3*g - 59 = 0. Let t = -1\/7 - -248\/21. Which is bigger: t or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2508*r + 4*i = 2504*r + i - 1, 3*r - 50 = 5*i for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 2. Suppose -12283*m + 12299*m = 32. Let f = -3 + 7. Sort f, m, j in descending order.\nAnswer: f, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*d = 3*d - 777. Suppose -r + 30 = p - 6*p, 0 = 2*r + 3*p - d. What is the greatest common divisor of 21 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*o**3 + 1303914 + 6*o**2 - 1303914 - 6*o**2.\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 962, 1049, 1204, 1433, 1742, 2137?\n\"Answer: k**3 + 28*k**2 - 4*k + 937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/4)\/(2\/8). Let b be ((-10)\/(-5))\/(0 + l). Solve -14 = -2*t - 2*y, 2*y = -b*y + 8 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -260, 5, -3, 2\/13, 6.8, -22?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 4, -629\/7 in ascending order.\nAnswer: -629\/7, 3\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -u**3\/2 + 6*u + 338. Let s(h) = 0. Calculate h.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -2551\/851?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 13*n + 1. Let c(r) = 6*r + 1. Let h(a) = -5*c(a) + 3*g(a). Calculate the smallest common multiple of 8 and h(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 585*s**2 - 4*s**3 - 273*s**2 - 264*s**2 wrt s.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3423+35\nAnswer: 3458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 74 + -59. Solve -2*u = 5*c + 35, c + f = -0*u - 2*u for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + s**2 + 7*s + 2. Give q(5).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 e when two letters picked without replacement from peooopoptpohepoheh?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a milligram in micrograms?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 a when two letters picked without replacement from lltltgtzllllgellal?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -11*o**2 - 3*o - 6. What is z(3)?\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**4 + 692*w**3 - 1372*w**2 + 684*w = 0. What is w?\nAnswer: 0, 1, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 4. Suppose 0 = 4*d - 2*u - 3 - 7, u - o = 0. Solve 12 = 3*s + d*f, -3*f = s + 2*f - 15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(2\/9))**(-46) assuming i is positive.\nAnswer: i**(-506\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76.071 + -76. What is g rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*t = z - 47, -31*z + t = -33*z + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert acb (base 14) to base 15.\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/1984285 and -18\/1145?\nAnswer: 1984285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -20*a**4 + 48*a**3 - 10*a**2 - 3. Suppose 1 = -3*q + 13. Let g(w) = -20*w**4 + 49*w**3 - 10*w**2 - 4. Let x(l) = q*u(l) - 3*g(l). Factor x(i).\nAnswer: -5*i**2*(i - 2)*(4*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100807128 a multiple of 536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**3 + 1460*y**2 + 16980*y + 50400 = 0. Calculate y.\nAnswer: -280, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a + 1. Let j(v) = -v + 7. Give -j(l) - 4*w(l).\nAnswer: -3*l - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -b - 20\/3*b**3 + 3*b**4 - 2\/5*b**5 - 14 + 6*b**2. Factor q(x).\nAnswer: -4*(x - 3)*(x - 1)*(2*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-5 - -5 - (-1 - 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125985?\nAnswer: 3, 5, 37, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.5618 + -0.3832. Round b to 1 decimal place.\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, -4, 2\/33, -5, 1\/25, -0.6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 205.2 + -242. Let y = 1146.81 + -1112. Let i = y + q. Round i to 1 decimal place.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.2575536 rounded to one dp?\nAnswer: 5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.25 + -14.25. Let x = -14.07 - r. Let z = -0.03 + x. Which is the nearest to z? (a) 0.5 (b) 0.4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39303 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: How many minutes are there between 6:50 PM and 9:15 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 52640 to the power of 1\/2, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1037761 (base 8) to base 9\nAnswer: -464038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 591*u**5 - 107565*u**4 + 106926*u**3 + 107022*u**2 - 107517*u + 543 = 0.\nAnswer: -1, 1\/197, 1, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9 + 3 - 2*m**3 + 21 + 14*m**3 wrt m?\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10278268 divided by -308\nAnswer: 33371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.147522 and -23?\nAnswer: 22.852478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 0*l**3 - 4 + l + 2*l**2 - 2*l - l**3. Let p be c(0). Let t be -2 - ((-27)\/(-12))\/(-1). Sort t, 3, p in descending order.\nAnswer: 3, t, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h = a + 16*h - 28, -4*a + 136 = -2*h. Suppose -2*u + 53 = 15*s - 10*s, -a = -2*u + 2*s. What is the highest common factor of u and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u\/u**(-8)))\/((u*u**(-2\/7))\/u*u))\/(u**(-1\/7)\/u**(2\/3))*((u*u**(-1\/14))\/(u*u*u**(-9)*u))**(-17\/5) assuming u is positive.\nAnswer: u**(-6397\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*b + 29*b + 12 - 11*b in the form z + u*b and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 705106 less than -3?\nAnswer: -705109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2455, -9860, -22201, -39478, -61691?\n\"Answer: -2468*s**2 - s + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/30 and -61\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 26 = -q - q, -4*q - 3*c = -3. Let w(b) be the first derivative of b**3\/3 + b**2\/2 + 4*b + 2. List the prime factors of w(q).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*c**4 + 10*c + 58?\nAnswer: -20*c**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-91)\/(-1) - (4 - 3). Let k = 3 + 2. What is the lowest common multiple of k and 115*3\/g - 2\/(-12)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -67 - -131. Suppose -65*l = -i*l. Suppose l = 12*o - 340 - 188. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 44*w**2 + 96*w - 157. What is g(46)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.933 - -0.067. Put 2\/11, -0.2, c, 0 in decreasing order.\nAnswer: c, 2\/11, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crccfrcnncscnc. What is prob of sequence fc?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 2*j = 288. Suppose 49100 + 18528 = 44*k. Suppose j = -5*q + k. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18440.\nAnswer: 2, 5, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 289*t**3 - 173*t**2 + t wrt t.\nAnswer: 1734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 25*q**2 + 16*q - 48. Let a be l(-24). Is a*((-6)\/(-9) - 0) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48351?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/3 of a millennium in months?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/6)\/(1\/((-9)\/2)). Suppose -4*y + 3*k = 6*k - 590, 0 = r*y - 5*k - 457. What are the prime factors of y?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9499318.\nAnswer: 2, 4749659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(1\/15)*q**(4\/15)*q assuming q is positive.\nAnswer: q**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 0*v = 3*v - 24, -3*g + 5*v - 18 = 0 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 99668*a**2. Let n(m) = -10*m. Give n(t(d)).\nAnswer: -996680*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16.3 - -0.7. Let w = 16.9 - s. Is w less than or equal to -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 - -50 - (0 + -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-4*2\/(-4)). Suppose 5*v - v - 8 = p. Let x(n) = 14 + 4*n**v - 14. Let b(o) = 4*o. Give b(x(l)).\nAnswer: 16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -23. Suppose 4*l = -0*l + t. Suppose b - 9 = l. What is the remainder when b is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 350 and 665?\nAnswer: 6650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (6 - 2) - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -20, -50, -90?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1322 divide 924078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -8. Suppose -5*l = -u*l - 8. Factor 2*m**2 - 4*m**3 - l*m**2 + 2*m + 0*m.\nAnswer: -2*m*(m + 1)*(2*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + 1 - (1 + sqrt(32)))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-76)\/12 - (-22 - (-4 - 12)). Which is the third biggest value? (a) -0.638 (b) 5 (c) -1 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161656 is divided by 1242?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 65b (base 12) in base 5?\nAnswer: 12220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.005 (b) 3\/8 (c) -5 (d) 0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*sqrt(133) - 6*1*sqrt(133))\/(sqrt(700) - (sqrt(700) + -2*sqrt(700) - sqrt(700))*3 - sqrt(700)) + -1.\nAnswer: -1 - 3*sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 (base 14) in base 16?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**3 + 2*q**2 + 4*q + 6. Let l be i(-2). Solve -l*k = -14*k - 8 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + v = 22, 3*k = -4*v + 6 + 1. What is the remainder when 93 is divided by (3\/k)\/((-3)\/(-144))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + -7*(-1089)\/(-24432). Let b = t + -1\/2036. Calculate the common denominator of 121\/18 and b.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -304.7 (b) 3 (c) 1\/8 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.08 and 1.248.\nAnswer: -0.09984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5 = -3*h + h, -g = -h - 10. What is the closest to 0.3 in -0.5, 3\/5, g?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -22*k - 232. Let j(b) = -14*b - 145. Let f(p) = -5*h(p) + 8*j(p). Let n(m) = m**2 - 1183. Calculate n(f(v)).\nAnswer: 4*v**2 - 1183","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3 = -0*a. Let o be 4 + 2\/6*a. Let u(z) = 6*z**2 + z - 7. List the prime factors of u(o).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.008 - 0.092. Put f, 2, 0.1, 0.3 in increasing order.\nAnswer: f, 0.1, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 1, -1 in decreasing order.\nAnswer: 27, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 16.2. Let z = -8 + 7.8. Let s = 95 + -1047\/11. Which is the nearest to z? (a) s (b) i (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-72)*147*1*(-8)\/14?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 21*x**2 - 946*x - 5. Let m(o) = o**3 - 11*o**2 + 473*o + 2. Let r(j) = -5*m(j) - 2*q(j). What is the second derivative of r(w) wrt w?\nAnswer: -18*w + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(11)*-1 + -4).\nAnswer: -24 - 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3326218 times -4\nAnswer: 1.3304872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -530 <= -1366?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18865849?\nAnswer: 2711, 6959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 120 = 5*g, -20*g = -3*i - 18*g - 67 for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -68 - -72. Solve 0 = -v*i + 5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 2 = 8*c. Let s(x) = 1 - x - 7*x**c - 6*x + 5*x. Give s(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37060\/77 - -2412041\/462. Let a = n + -5737. Let q = 133\/3 + a. Which is bigger: 11 or q?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*z**2 - 1)*(-3*z**2 - 4*z + 4*z) + (-3*z**2 + 4*z**2 + z**2)*(3 - 2*z**2 - 3).\nAnswer: -13*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2663, -2598, -2533, -2468, -2403?\n\"Answer: 65*t - 2728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = 71*v - 5047. Solve 49 + v = 118*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0670989808 + 0.0671. What is a rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 11*t**3 - 2*t**2 + 4*t. Let l(f) = -11*f**3 + 3*f**2 - 5*f. Give -2*l(j) - 3*m(j).\nAnswer: -11*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -23.325959.\nAnswer: -69.977877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-252)\/((-28)\/(-4)))\/((-72)\/(-48))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*j**3 + 59*j**2 - 1 - 1048*j**4 + 2*j - 73*j**2 + 1050*j**4 to the form i*j + a*j**2 + v*j**3 + p + w*j**4 and give a.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*k - 2*k + 38, -3*k = -3*o - 33. Let n be k*(-1 + (-8)\/(-6)). Suppose 5*t - 25 + 50 = 0. Sort t, n, 2 in descending order.\nAnswer: n, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1658951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 249407452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 26*y + 9. Suppose 0 = -4*q + 3*d + 37, -2*q + d = 2*d - 11. Is x(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 0 + -10 + (15 + -15 - 37).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u + 235 - u - 214 - u to the form y*u + t and give t.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/2))**(-7)\/(((m*m**10*m)\/m*m)\/m*m**(2\/15)) assuming m is positive.\nAnswer: m**(-649\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 232\/5719 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -2 + (4 - (11 + -5))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15.1 + 14.9. Let v be (-48)\/(-112)*((-4)\/6 - 0). Let j be 88\/(-114) + 6\/9. Which is the nearest to -0.2? (a) j (b) v (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + q - 40 = 0, -370 + 680 = -y - 4*q + 338 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 167411*s**5 - 732*s + 26.\nAnswer: 3348220*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-32)\/(-112) - (-19)\/7. Solve -x - 8 = a, -j*x + 0*x = a + 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 82 - 8 = 0. Calculate the remainder when g is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111 - -1130?\nAnswer: 1301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -556*r**3 - 2*r. Let s be g(1). Let o = -1025 - s. Let m = -4240\/9 - o. Find the common denominator of m and -16\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**5 + 7*k**4 + 11*k**3 - 9*k - 7. Let g(h) = -h**5 + 3*h**4 + 5*h**3 - 4*h - 3. Let l(q) = 14*g(q) - 6*j(q). Factor l(w).\nAnswer: -2*w*(w - 1)**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 295 = -5*g, 0 = -5*g - 4*u + 6*u + 325. What is the greatest common factor of 126 and g?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + -2*sqrt(125) + 4)**2.\nAnswer: -2004 + 80*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4\/57 (b) -5 (c) 0.2 (d) 57.4 (e) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2931164*j**5 + 2000693*j.\nAnswer: 58623280*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5770640.\nAnswer: 2, 5, 53, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -7*a - 24. Let x be s(-4). Let h = 232 + -923\/4. Find y such that 0 + 0*y + h*y**4 + y**2 + x*y**3 - 25\/4*y**5 = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -101434, -104423, -107412?\n\"Answer: -2989*v - 98445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -1, -2\/3, 5 in ascending order.\nAnswer: -1, -2\/3, -2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + s**2 + 7*s**2 - 4*s**2 + s**3 - s**2 - s**2 + 21*s to the form h + z*s**3 + o*s + i*s**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 15*b**2 - 28*b + 1. What is the remainder when i(12) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/10 + (-42)\/(-80). Let o = -79 - -78.6. What is the closest to l in o, -1\/3, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 418 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a - 12*a + 4*a + 4*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*l - 28*l = 2*k - 5, 42 = -3*k - 3*l + 39 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -94.52 - 168741?\nAnswer: -168835.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 - 39. Let v = 0.663 - 0.163. Sort -4, v, -0.2, x in descending order.\nAnswer: v, x, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 - -56) + 1 - 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 + 449 + 0)*1. Suppose 4*y - 4*f = -5*f + v, 4*y - 454 = 2*f. Calculate the greatest common divisor of 16 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*i + 12*i. Solve -b + i = 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y + 166*y - 91*y in the form a*y + p and give a.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08415 to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1217048 to the power of 1\/2, to the nearest integer?\nAnswer: 1103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/92, 2\/7, 258, -0.4.\nAnswer: -0.4, -1\/92, 2\/7, 258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + u - 5. Let p be l(-10). Let f = p + 438. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*s**3*y**2 - 23*s**3 + 346*s**2 - 2523030*s*y**2 - 17*s + 2 wrt y.\nAnswer: 12*s**3*y - 5046060*s*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x**2 - 2*x**2 + x**2)*(x + 0*x - 3*x).\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*((-120)\/(-180))\/(12\/198).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 3*g + 36, -k = 2*k - 6. Let d be 17\/36 - (80\/(-36))\/g. Sort d, -4\/3, -0.5, 7.\nAnswer: -4\/3, -0.5, d, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -208*x - 907. Give q(-3).\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4 = 2*i, -5*i = 28*z - 25*z + 3. Solve i = 5*h - 50*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -251, -1989, -6675, -15773, -30747, -53061?\nAnswer: -84179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((2*sqrt(2057))**2 - ((sqrt(153))**2 + 0)).\nAnswer: 40375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12301001 - -1320?\nAnswer: 12302321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 94207 = 2*b - 94220, 19 = 4*b - 3*v for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1086629319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 2*v - 87 + 36, 2*l - 29 = 3*v. Solve 5 = -h + 2*z, 4*h = -2*z + l + 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2\/7 - 1560*n\/7 - 70500\/7.\nAnswer: -3*(n + 50)*(n + 470)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 8, 1, -0.03, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2727 in 4, -2, -0.13, -1, 97?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -65 + 67. Is 0 + s - (-938)\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7084229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 245*f**3 + 6250*f**2 - 6250*f**2.\nAnswer: 245*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.9370246 millimeters?\nAnswer: 937.0246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4, -493, -1322, -2483, -3976, -5801, -7958?\n\"Answer: -166*n**2 + n + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**3 + 495*i**2 - 745*i + 1694. Determine x(246).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + -4 + 15\/5. Let f(z) = 13*z**2 + z + 1. Let k be f(y). What is the greatest common factor of k and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2560520 (base 9) to base 16\nAnswer: 15549c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 855332971.\nAnswer: 59, 14497169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 315, 554, 719, 810, 827, 770, 639?\nAnswer: 434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10\/10763 - 1195493\/861040. Find the common denominator of 37\/56 and d.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 - -27. Suppose j + x*t - 88 = 0, -3*t + 309 - 8 = 4*j. Is 22 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2638 + -1657. What are the prime factors of b?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bc when two letters picked without replacement from {q: 3, b: 1, c: 7, u: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -9 + 20 + -25 - -6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 333*x + 207736 = 356*x. What are the prime factors of x?\nAnswer: 2, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 6*n + 93. Let r = n + -15. Suppose c - r = -3*c. Is 2 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hvztu. What is prob of picking 1 t, 1 z, and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 1. Let y be r(-1). What is the third smallest value in -3, -1\/4, y, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1800049, -3600147, -5400245, -7200343?\n\"Answer: -1800098*t + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 89*z + 1. Let t be y(-4). Round t to the nearest ten.\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 339, 291, 211, 99, -45, -221, -429?\n\"Answer: -16*v**2 + 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + 45. Let m be (56\/(-12))\/((-6)\/(-9)). Let j(v) = v + 21. Let q be j(m). What is the greatest common factor of q and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51 + 21 - 33*c + 31)*(-c + c - 5*c).\nAnswer: 165*c**2 - 5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*z**6 + 2*z**5 + 27*z**3 - 22*z**2 - 239*z.\nAnswer: 240*z**3 + 120*z**2 + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2228 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 28019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 7 = 13. Suppose 7*d - q*d - 260 = 0. Suppose -5*h = 2*s - 2*h - 88, 3*s = -4*h + d. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 1. Let w = -26 - -12. Let c be 7\/(2*-1 - -3). Let b(k) = -k**2 + c*k + 7 + k - 7*k. What is w*u(s) + 2*b(s)?\nAnswer: -2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + (-3 - -1 - -3). Let v be (c - 44\/12)*15. Find the third derivative of -22*l**v - 8*l**3 + 3*l**2 + 8*l**3 - 39*l**2 wrt l.\nAnswer: -1320*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/5 + 0*y**2 - 4\/5*y**3 + 16\/5*y - 1\/5*y**4.\nAnswer: -(y - 2)*(y + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 29, 21 in ascending order.\nAnswer: 1\/6, 21, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 h when two letters picked without replacement from ccaeccchchecchcjh?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12110 + 2220031?\nAnswer: 2202421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21016753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5197.91 - 14.\nAnswer: -5211.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 13 times 1327\nAnswer: 17251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -66719b?\nAnswer: -667198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 73062792 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -7*n**2. Let q(s) be the first derivative of -7*s**2\/2 - 17. Determine q(p(z)).\nAnswer: 49*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o - 3 - 3 + 7 + 5. Let y(p) = 2*p - 5. Determine 5*c(r) + 6*y(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1209701997017 + -25.\nAnswer: 1209701996992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggglgglgllllglgglll. Give prob of sequence llg.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 33*a**2. Let y(i) be the third derivative of 43*i**5\/60 - 3*i**2 - 400. Calculate y(l(k)).\nAnswer: 46827*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, f: 2, x: 3}. Give prob of sequence rxrx.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -244948360?\nAnswer: -244948352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3 = -3*s - 4, -5*s - 13 = 4*u. Let j(v) = -31*v**2 - v + 1. Let o be j(1). Let r = o - -31. Is s >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55834543 divided by 11\nAnswer: 55834543\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1492?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -997049, -1994088, -2991125, -3988160, -4985193, -5982224?\n\"Answer: d**2 - 997042*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (-18 - -41) - (-1 - (-2 - -6))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.47 + -0.546. What is i rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -99898394\/19 or -5257810?\nAnswer: -99898394\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(2\/(13\/78*150))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s**2 + 2*s**2 + 2*s**2)*(-1 - 3 - 1) + 8*s**2 + 3*s**2 - 6*s**2 - 9*s**2 + 12*s**2 - 15*s**2 in the form o*s + c + v*s**2 and give v.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24012 divided by -9.\nAnswer: 2668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5020 - 6828?\nAnswer: -1808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1\/5, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/(-15))\/(4\/(-10)). Suppose w - 2*t = 31 - 10, -a*t + 12 = 2*w. Calculate the remainder when w is divided by 2\/(-4)*14*-1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25000?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 324? (a) -1 (b) 5.8 (c) -6\/11 (d) -0.4 (e) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1086 - -2275. List the prime factors of j.\nAnswer: 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7992 (base 10) in base 14?\nAnswer: -2cac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 43*r**3\/3 - 4. Let o(a) = -27*a**2 + 59*a**2 - 34*a**2. What is o(x(s))?\nAnswer: -3698*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193 - 25 = 28*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - (0 + -2)*-4. Let s = 23 - z. What is the remainder when s is divided by (-1)\/2 - 46\/(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-7526)\/(-212))\/((-2)\/(-36)). Which is the second biggest value? (a) k (b) 0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29 + 33 + 112)*(16 - 7 + 4)*(3*m + 0*m - m) to c + n*m and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -97320?\nAnswer: 29196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-5))\/(103 - 85)?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 302091 and 1515.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 98111?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*x - 3019 = 447, -5*v - 5*x = -8665. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43760090.35 rounded to the nearest ten thousand?\nAnswer: 43760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 - (1\/4)\/(17\/(-799)) and -107\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84194 and 26135384.\nAnswer: 1958","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 8*r**2 - 51*r + 31. Let n be q(6). Sort n, -3, -5, -11 in descending order.\nAnswer: n, -3, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1282.2 rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.53 + -29.37. Let b = -33 - u. What is the second biggest value in 0.4, b, -2\/11, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2572510 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 4*p**2 + 7*p - 1. Calculate n(-7).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253 is divided by 86?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -102, -891, -2354, -4491, -7302?\nAnswer: -10787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/330 and 59\/2871.\nAnswer: 28710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5957 = -5796*t + 6055*t for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -n**3\/6 - n + 2. Let h(g) be the first derivative of c(g). Let z(s) = -19*s + 4*s + 5*s. Calculate h(z(r)).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 6*v - 3. Factor -3*s**3 - 4*s**4 + 2*s**v + 5*s**4 + 2*s**3.\nAnswer: s**3*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60880\/103 or -591?\nAnswer: -60880\/103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -18592 less than -491759?\nAnswer: -473167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of z**4\/6 + 3*z. Let q(d) = -3*d**2. Determine q(m(k)).\nAnswer: -12*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -147*s**5\/4 + 651*s**4\/4 + 102*s**3 + 15*s**2.\nAnswer: -3*s**2*(s - 5)*(7*s + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of t**6\/120 - t**5\/40 - t. What is h in p(h) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-650)\/(-15))\/5)\/(56\/(-84)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 329 and 2491.\nAnswer: 17437","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24043265 divided by 95.\nAnswer: -253087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -57*r**3 - 1620*r**2 + 56*r**3 + 11072 + 4438 - 970*r**2 wrt r?\nAnswer: -3*r**2 - 5180*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 - 644103*f - 18678146.\nAnswer: -(f + 29)*(f + 644074)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7366.\nAnswer: 2, 29, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 15778 + 348 = x, 5*r - 15 = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106569581 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, v: 2, q: 4, j: 1}. Give prob of picking 1 l and 3 q.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3802034 is divided by 46?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 6. Suppose 10 = -2*x - x + 2*a, 3*x + i*a - 20 = 0. Let h be (1 + -6)*(-24)\/60. Solve -4*t = h*c + 18, 0*t - 5*t - 5*c - 20 = x for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 23 = 3*k + s, s = -5*k + 10*s - 2 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 h when four letters picked without replacement from {b: 4, v: 3, a: 6, h: 4}.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*z**2 - 72783 + 72783)*(-3 + 3 - 3*z) + (4*z - z - z)*(2*z**2 + z**2 - z**2).\nAnswer: -35*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**4)**10*(y**(-2\/3)*y)**(-32) assuming y is positive.\nAnswer: y**(88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 291958 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2786471430 to the nearest integer?\nAnswer: 52787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**4\/7 + 600*f**3\/7 + 25300*f**2\/7 + 30000*f + 70000.\nAnswer: 4*(f + 5)**2*(f + 70)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f\/(f\/f**(-2\/7)))\/f))\/((f\/(f\/f**5))\/f*f)*(f**(1\/4))**(3\/2))\/((f**2)**(-50)\/(f**6\/(f\/(f\/(f*f\/(f**(-1\/4)\/f))*f)))) assuming f is positive.\nAnswer: f**(5679\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**28)*o*o)\/o*o*(((o\/(o**(-2\/7)\/o))\/o)\/o)\/o*(o*o**(-2\/15)*o*o)\/o*o**(2\/11) assuming o is positive.\nAnswer: o**(-28489\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h - 94. Let w be p(0). Let l = 207 + w. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o**14))\/o)\/o)**(-3\/13)*o\/(o\/o**(-2\/23))*o**(14\/11)*o*o*o assuming o is positive.\nAnswer: o**(25911\/3289)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 35171 and 0.2.\nAnswer: 7034.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 2*m - 1. Let o(u) = 46*u**2 - 1 + u - 47*u**2 + 0*u + u**3. Let w(a) = -7*a**3 + 5*a**2 - 5*a + 5. What is m*w(b) - 5*o(b)?\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 774601903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(6*(sqrt(13) + 2*sqrt(13) + sqrt(13)))**2*-4 + 3.\nAnswer: 119811","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 10:13 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 2*p**2 - 3*p + 3. Let t be c(3). Let l(s) = s**2 + 8*s + 9. Let y be l(-7). Factor -6*z**t - y*z**2 + 3*z**2 + 3*z**3.\nAnswer: -z**2*(3*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 292853, 584643, 876433?\nAnswer: 1168223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 2 + (-2 + 1 + 2)*(-3 + 4 + 0) - 3 + 5 - 3 - 1 + 1 + 2 + 3 - 3 - 1)*(-10*a - 3*a + 5*a)*(0 + 1 + 0) in the form x*a + t and give x.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -2, 10, -562, 5\/3, -2\/31?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2. Suppose -5*m = 5*z - 4*z - 6, -m = 2*z + 6. Let x(c) = m*c - c + 2*c. Calculate x(s(a)).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1701030 to the power of 1\/3, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.253841 and -0.4.\nAnswer: 0.1015364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + i = 22, 2*r - 3*i - 126 = -142 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/2 + 7\/21)*-6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1725007?\nAnswer: 17, 29, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 116348 + -80388. What are the prime factors of a?\nAnswer: 2, 5, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 3*p - 27. Calculate the smallest common multiple of 11 and m(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2 - 8, 31 = 5*x - 2*v. Suppose 0 = -3*y - 4*q + 8, 17 = 19*y - 14*y + 3*q. Is x greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 - 106 = -25*p + 145. Let q(y) = -y + 58. Give q(p).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15490, 15493, 15498, 15505, 15514, 15525, 15538?\nAnswer: 15553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 17?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7676 and 3749726.\nAnswer: 7499452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o - 6*o - 4*o + 7*o. Let c(w) = 20*w**2. What is j(c(d))?\nAnswer: -20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63*v**2 + 24*v**2 - 63*v**2)*(-23*v**2 + 506 - 506)*(-1 - v + 1).\nAnswer: -2346*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -133*0.3\nAnswer: -39.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of 11*l**5\/60 - 5*l**4\/24 - l**3\/2 - 12*l**2 + 316. Let q(h) = -2*h. What is c(q(v))?\nAnswer: 44*v**2 + 10*v - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2. Let v(x) = -6*x. Let l(j) = -2*j. Let n(t) = 11*l(t) - 4*v(t). Let q(r) = -r. Let z(p) = -n(p) - 3*q(p). Calculate w(z(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 50*a**2. Let k(f) = 194*f**2. What is k(h(u))?\nAnswer: 485000*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 1. Suppose 3*w = 3*v + 6, 3*w - c = 4*v + 6. Let i be 2 + -3 - (-1 + w). Solve -i*s - s = 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -85.97 to zero dps.\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1347 + 1347. Let z(u) = -37*u. Let g be z(-3). Suppose p*y - y = -g. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 447 and 316923?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35\/10*((-246)\/(-21) - 2) is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -5*a. Let t(o) = 10*o + 5*o - 8*o + 8*o. Determine t(q(x)).\nAnswer: -75*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 0*b**2 + 12 - 13\/3*b**3 + 0*b. Let w(a) be the second derivative of a**4\/6 - a. Give w(i(n)).\nAnswer: 338*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.209 + 0.009. Which is the second smallest value? (a) t (b) -1\/3 (c) 2\/7 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13.4 - 14. Let t = -82\/35 - -11\/5. Let g be 1 + 2 - 880\/240. Which is the closest to -1? (a) p (b) g (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(13) + 0)*-6 + -1 + -5.\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*y**4 + y**3 + 10*y + 11*y**4 - 11*y to h + p*y**4 + c*y**3 + g*y**2 + l*y and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 21\/(-9))\/1\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -225.6126365*-0.1\nAnswer: 22.56126365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - (3 + sqrt(68)))**2 + (-5 + sqrt(17) + sqrt(51)\/sqrt(3) - sqrt(17)).\nAnswer: 4 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5)*h*h*h\/(h*(h\/h**(2\/3))\/h)*h)\/(h**0)**50 assuming h is positive.\nAnswer: h**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 38*u**2 + 765*u + 2869. What is r(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 - -33. Suppose -i*b + 44 = -b. Let r = 294 + -284. What is the least common multiple of r and b?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1038*t + 256*t + 197*t + 146*t.\nAnswer: -439*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 248239 divided by -23\nAnswer: -10793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/11344290 and 73\/312780.\nAnswer: 294951540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5466 + 5468. Suppose 0 - 1\/2*x**5 - 4*x**3 + 2*x**f + 0*x + 5\/2*x**4 = 0. What is x?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - -2)*11*1. Let p(k) = -2*k - 16. Let u be p(g). What is the third derivative of 3*n - 3*n**2 - 3*n + 4*n**u wrt n?\nAnswer: 480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pqqcmmqppqmcqpmpppm. What is prob of picking 1 m, 1 q, and 2 c?\nAnswer: 25\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 16 = -5*c - 2*w, 0 = 3*c - 4*w. What is the remainder when 20 is divided by c\/10 + (-111)\/(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + d**2 - 3*d - 3. Let r(v) be the first derivative of -v**4 - 4*v**3\/3 + 5*v**2 + 10*v + 4. What is -10*b(p) - 3*r(p)?\nAnswer: 2*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 84*m + 289*m - 955*m as x*m + w and give x.\nAnswer: -582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 18*n + 4 - 2.\nAnswer: -18*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -70*d + 131*d - d**2 - 61*d - 5*d**2. Let o(h) = 2*h**2 + 3*h. Calculate o(m(a)).\nAnswer: 72*a**4 - 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**3*t**5 - 2*i**3*t**2 + 5*i**2*t**5 + i - 11*t**2 wrt t.\nAnswer: 60*i**3*t**2 + 300*i**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.1975 decades in months?\nAnswer: 2663.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**2. Let b(y) = -103*y. Calculate c(b(i)).\nAnswer: 31827*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 11) in base 12?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 1793*s**2. Let m(t) = -2*t. What is o(m(j))?\nAnswer: 7172*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 1 = f, -5*f - 21 = 2*j - 9 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 67648 - 10282563\/152. Calculate the common denominator of p and -46\/513.\nAnswer: 4104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45440 = -4*g - 14*q + 15*q, -3*g - 5*q + 34057 = 0. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggyggggyygygygggggy. Give prob of picking 1 y and 3 g.\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 13*l. Let p(q) = 123314604*q. Determine d(p(x)).\nAnswer: 1603089852*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/9 - 52*x\/3 - 112.\nAnswer: 2*(x - 84)*(x + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 16 and 34.3.\nAnswer: 50.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -a + 130, a + 3*l = -0*l + 162. Suppose 5*c + 0*c - a = 0. List the prime factors of c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**2 + 194*l - 206. Give d(96).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-42)\/35*(-10)\/(-8))\/((-27)\/4). Let n = 0.4 + 0. Let o = -0.6 + -8.4. What is the second biggest value in j, -1\/4, n, o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/(j*j**(-12)))\/j)\/j**(-2\/17))\/(j**(-1\/2)\/(j*(j**(8\/3)*j)\/j*j)) assuming j is positive.\nAnswer: j**(1763\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j**3 - 210*j**2 + 2*j + 120. Let u be v(-70). Let s(p) = -21*p**3 + p. Let i be s(1). Is i at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 23\/7 + (-4)\/42*3. Is 4 + 197\/u*3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -6, 6, 0.4, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + sqrt(288)))**2 - (sqrt(288) + 1 + 5)**2 - ((4*(sqrt(2) + sqrt(32))*1)**2 + -2).\nAnswer: -834 - 144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 + 2 = 2*y + 5*c, 0 = -5*y + 5*c + 50 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*r*y**3 + 6*r*y**2 + 990763*r*y + 16502402*y**3 + 8*y wrt r.\nAnswer: 3*y**3 + 6*y**2 + 990763*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 634.8 and 1296982?\nAnswer: 1296347.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 148 - -36. Let j = -108 + v. Let p = 129 - j. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 694, 695, 696, 697, 698?\n\"Answer: l + 693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j - 7 + 0 + 0*j. Let r be y(-6). Let u = 23 + -28. Put u, 2\/11, r in descending order.\nAnswer: 2\/11, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n**2 + 5*n**2 - 16*n**6 + 13*n**6 wrt n.\nAnswer: -360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2063 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 f when two letters picked without replacement from pvzpzqpfhvfq.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 67934742 to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 2 (c) 24 (d) 2\/385 (e) 21 (f) 0.4 (g) 32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0654 - 5.0654. What is the third biggest value in v, 1, -0.25?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 245 + -47. Let j = 213 - z. Let b = 5 + 0. Calculate the greatest common divisor of b and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 + -10 + 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 377 - -1586. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*f**3 + f**2 - 13*f**3 + 2*f**2 - 4.\nAnswer: -(f - 2)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47426, 94808, 142190, 189572, 236954?\nAnswer: 284336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3426, 3843, 4538, 5511, 6762?\nAnswer: 8291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -91080 divided by -91080\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 18*h - 1. Let r be v(18). Let j(o) = -o**2 - 1. Let u be j(1). Let a = u + r. Let i(l) = 2*l**2 + l - 3. What is i(a)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 33736.72 hours?\nAnswer: 2024203.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 927387.\nAnswer: 3, 103043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -11*c**7\/14 + 23*c**3\/6 - c + 12. What is the second derivative of t(p) wrt p?\nAnswer: -660*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17 - 17 - 8*y + 4*y + 7*y**4 wrt y?\nAnswer: 84*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/5 of a centimeter?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50497 is divided by 607?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*d = 23, 43*d - 42*d = 5. Which is the third smallest value? (a) -0.738 (b) o (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 10 = 5*y. Let f be (-2)\/(-12)*y*(-9)\/(-10). Let m = 2.5 + 0.5. Sort f, -4, m, -0.2 in descending order.\nAnswer: m, -0.2, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -8*g. Let p(z) = 1010*z**2. Give l(p(a)).\nAnswer: -8080*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15129?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18\/7 or 0.378?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 102264.5 and 0.008517.\nAnswer: 102264.508517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9730, -22474, -43716, -73456, -111694, -158430, -213664?\nAnswer: -277396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-5))\/(-9 - 822\/(-90)). Let s = 4 + 28. Let q be s\/(-6) - 1\/(-3). Put 3, q, c in increasing order.\nAnswer: c, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 = v + 2*s, 2495*s - 212 = -8*v + 2491*s for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -207*a*p*v**3 + 177*a*v + 9*p**2*v - 15*p*v**3 + 401*v**3 wrt p?\nAnswer: -207*a*v**3 + 18*p*v - 15*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 760184731?\nAnswer: 41, 397, 46703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1353024 and 393472.\nAnswer: 286841088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of g**5\/30 + 51*g**2 - 2*g. Let l(a) = 6*a**2 + 51. Give w(l(q)).\nAnswer: 72*q**4 + 1224*q**2 + 5202","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 4*y + 0*y)*(0*y**4 + y**4 - 3*y**4) + (-y**4 - y**2 + y**2)*(2*y - 5*y + 2*y) + y**5 - 2*y**5 + 10*y**5.\nAnswer: 12*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*m**2 - 37 + 37)*(-4*m**3 + 2*m**3 + 3*m**3 - 2*m + (4 + m - 4)*(-2*m**2 + 4*m - 4*m + (3*m + 0 + 0)*(3*m - 6 + 6))).\nAnswer: -272*m**5 + 68*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32*k**3*o - 354*k**3 - 26*k**2*o + 14 wrt o.\nAnswer: 32*k**3 - 26*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*v - 16 = 4*v, 5*v - 10 = 0. Let j be (4\/1)\/(-8 + n). Suppose 5*p - j*l - 1 - 14 = 0, 4*l = -5*p - 25. Which is smaller: -2 or p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1389*s + 0 - 3845*s + 1242*s + 1227*s.\nAnswer: 13*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17412, -18263, -19114, -19965, -20816, -21667?\nAnswer: -22518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 8:39 PM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/10793841 and 48\/61165099.\nAnswer: 183495297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 31065635*x**2. Let v(r) = 4*r. Calculate u(v(z)).\nAnswer: 497050160*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2314 less than or equal to -2283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004073 rounded to 5 decimal places?\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-4*(sqrt(242) + (sqrt(242) - (0 + sqrt(242) + sqrt(242)))**2 + -3) + (sqrt(242) - (-1*sqrt(242) + sqrt(242) + 4) - (sqrt(242) + 0 + -5))**2 + -1.\nAnswer: 264*sqrt(2) + 5736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178*k + 174*k - 1098*k + 387*k + 183*k + 173*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 9, -45.\nAnswer: -45, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1170 and 19153770?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(44)*3*-5 + sqrt(704)*-2*6)**2.\nAnswer: 14256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/22*(-3)\/12*216464\/40587?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119056940.\nAnswer: 2, 5, 5952847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-25))\/(2204\/(-580))*(70\/(-18))\/(-7)?\nAnswer: -2\/171","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 64153981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 11130 = 83795. Let x = 8573 + v. What is x rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 35 = -9*f. Let z(p) be the third derivative of -p**6\/120 - p**5\/15 + 17*p**4\/24 + p**3\/6 - 17*p**2. Is 7 a factor of z(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -4. Suppose 3*z - 21 = u. Suppose 0 = 3*l + 4*s - 134, -61 = -2*l - s + 4*s. What is the remainder when l is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 1) + (8 - 8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -0.2 (b) 17 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.39? (a) 40151 (b) -11 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2060 - -2065)*(-515)\/(-25).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2*d - 2)*(-4 - 1 + 7)*(d + 2*d - 5*d) + (-3*d - d + 5*d)*(10*d - 47*d + 12*d))*(2*d**2 - 4*d**2 + d**2).\nAnswer: 17*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 * -3.8017\nAnswer: 0.418187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m**4\/4 + 3341*m**3\/4 + 7393*m**2\/4 + 4799*m\/4 + 369\/2 = 0.\nAnswer: -369, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10186, 20824, 31462, 42100?\n\"Answer: 10638*m - 452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**5 + 34*d**4 - 361*d**3 + 900*d**2 + 3024*d + 1728 = 0.\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 81*c + 935. Let m be o(67). Let y be (-6)\/(-15) - (-2)\/(-5). Suppose y = 5*n + 6 + 4. Put m, n, 22 in descending order.\nAnswer: 22, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/2128 and 169\/65653056.\nAnswer: 65653056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.753837 and 0.279.\nAnswer: -0.489320523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-4)*(-2)\/((-32)\/48)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28505?\nAnswer: 5, 5701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 b when two letters picked without replacement from {e: 1, b: 2, o: 1, d: 1, q: 1, m: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 126*s + 2 - 144*s + 264*s**2 - 248*s**2 + (-2*s - 4 + 4)*(-2 - s + 2).\nAnswer: 18*s**2 - 18*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 0 + 18 + -3. Let d be 27\/(-12)*g\/6. Let m be ((-16)\/6)\/(4\/d). Solve -4*b + 0*b = 4*s, m*s + 5 = -5*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 69*d + 206. Calculate y(-66).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -12696\/27977?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 266.1857ml?\nAnswer: 0.2661857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 162345312?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 4 = 3*f - 6, 5*f = 2*z + 26. Solve -6*q + 6*q**4 - 2 - 3*q**4 - 1 + f*q**3 = 0 for q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-2 - 4) - (25 - 21)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*((-21)\/(-6) + -2). Let b = -5 - -9. Solve 4*x + p + 1 = v*x, x + 1 = b*p for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(402\/7)*(864\/(-84) - -10)?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 5:44 PM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 189 - 183 - (-2 + (12 - 1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 653 - 1200. Let b = 884 + g. Calculate the remainder when b is divided by 68.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 1. Let q(s) be the third derivative of s**6\/120 - s**5\/15 - 5*s**4\/24 - 5*s**3\/6 + 40*s**2. What is q(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, 2\/7, -68, -5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 62844 and -0.34533.\nAnswer: 62843.65467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a hour in seconds?\nAnswer: 99000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*f = -2764, 2*x + 5*f = 446 + 677. Suppose -526 = 7*v - x. Solve -u = -v*z + 22 - 4, 0 = 2*u + 3*z - 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -20, -194, -5, 29.\nAnswer: -194, -20, -7, -5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 3*j**2 - 3*j + 3. Let c be l(2). Let r(f) = 17*f**3 - 2*f + 1. What are the prime factors of r(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4+-41.07\nAnswer: -45.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iggi when four letters picked without replacement from giigigi.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0201 from -150.\nAnswer: -149.9799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-7)*p*p**(-8))\/(p**(-4)\/(p\/p**(-5))))\/(((p\/p**(2\/3))\/p**(-1))\/((p*p**(2\/5)*p)\/(p*(p*p**1)\/p))) assuming p is positive.\nAnswer: p**(-74\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.06251967 rounded to 2 dps?\nAnswer: 2.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159.638346*2.\nAnswer: 319.276692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19 + 39 - 26)*(0*c**2 - c**3 + 0*c**2) to the form g*c**2 + r*c + s + p*c**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of r**4\/3 + 308*r**2 - 2*r. Let g(s) be the first derivative of 3*s**3 + 2. Determine g(d(i)).\nAnswer: 576*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-140)\/25)\/(-7))\/((-12)\/(-30)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 5:39 AM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1289 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -91950 rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24d8 (base 16) to base 5.\nAnswer: 300212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (17 + -7)*(-2)\/(-5). Let u(t) = 3*t - 11. Let o be u(d). Let a be (-30)\/(-210) + (-12)\/(-14). What is the greatest common divisor of o and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 divided by -632\nAnswer: -33\/632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 87 + -82.5. What is the nearest to 0 in -1, x, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 162*g**4 - 10 + 5 + 3 - 157*g**4 - 4*g to q*g**2 + z + u*g**4 + k*g + r*g**3 and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3*h + 43, 2*p + 11 = 2*h - 31. Suppose -3*g + 4*v = -21 + 2, v = 3*g - h. Suppose -g*b = -b. Solve b = -0*i + 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(99) + -1 - (0 + ((sqrt(99) - (sqrt(99) + 1 + sqrt(99))) + sqrt(99) + sqrt(99) - sqrt(99) - sqrt(99))))**2.\nAnswer: -36*sqrt(11) + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38362014 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*p**2 + 102*p**2 - 11*p**2.\nAnswer: 76*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-208)\/(-117) - 2\/(-9). Find the second derivative of m + 2*m**2 + m**2 - 4*m - 5*m**n wrt m.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*-2*20\/(-8). Suppose 5*g - 32 = -2*z, g - 6*g = -a*z + 10. What are the prime factors of z\/15 + 249\/15?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78299 and 247.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 - 100834*z**2 - 1273202672*z - 57090113640.\nAnswer: -2*(z + 45)*(z + 25186)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/9)\/(-4)*384\/640.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 253 and 979?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1310.4863359 to the nearest 10.\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -32 + (-6 - -16) + -3 + -9\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + b**2 + 1. Let g(t) be the first derivative of 7*t**4\/4 - 2*t**3 - t**2\/2 + 3*t - 3. Let u(w) = -4*g(w) + 4*x(w). Factor u(z).\nAnswer: -4*(z - 1)*(2*z + 1)*(3*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l**3 + 0*l**3 - l**3)*(2 + 3 - 3)*(-2 + 1 + 5)*(110*l - 830*l - 66*l) to w*l**2 + o + d*l + g*l**3 + c*l**4 and give c.\nAnswer: 12576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b - 11?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -6, 0*j - 4*j + 33 = 5*r. Let m(w) = -w**3 + 5*w**2 + 2*w - 4. Is m(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1820 is divided by 83.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 80005283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4195400?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -901068, -901102, -901138, -901176?\n\"Answer: -v**2 - 31*v - 901036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s + 4. Let z be i(3). Let j(u) = -u**3 + 4*u - 3*u + 0*u**3. Give j(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/6)\/((-3)\/(-99)). Let h = i + 77. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-50)\/(-15) - (-1)\/(-3). Suppose 0 = q - 3*h - 15, -j*q = -0*q - 2*h - 17. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -3 - (1 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -14.99 and -4091766.\nAnswer: -4091780.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13104 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(4*sqrt(42)*-2)\/sqrt(6))**2 + 5 + sqrt(14)\/sqrt(2) + (sqrt(7) + (2 + sqrt(7))*-4)**2.\nAnswer: 49*sqrt(7) + 11332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000014493 to six dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1260?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2540\/21 + -14267\/126. Calculate the common denominator of -67\/1323 and w.\nAnswer: 2646","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 97 = -117 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6292)*-2*6 + sqrt(6292) + sqrt(6292)*-3*-2)\/(sqrt(176)\/(1*sqrt(11) + sqrt(11))*-5*5).\nAnswer: 11*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) -1\/2 (b) 43 (c) -41 (d) 0.83\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, h: 7}. What is prob of picking 3 u?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10977.\nAnswer: 3, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4375, -8774, -13159, -17524, -21863?\nAnswer: -26170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/u**(8\/3)*u*u))\/u**(-3\/7))\/(u**(2\/25)\/(u**1*u)) assuming u is positive.\nAnswer: u**(1583\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -75, -94, -125, -168, -223, -290?\n\"Answer: -6*f**2 - f - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/950 and -59\/760.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j**3 + j**3 + 3*j**3)*(417*j + 447*j + 400*j - 1122*j) as g*j**3 + x*j**2 + q + w*j**4 + t*j and give w.\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 32 = 4*r, -4*m - 3*r = 260 - 253 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**2 + 15 + 120 - d**2 + 13 to t*d**2 + p*d + h and give h.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 148 = 5*l + 10, -2*x - 8 = 0. Which is smaller: -29 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of y**5 + 10704*y**4 + 19279*y.\nAnswer: 20*y**3 + 128448*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -456\/1853711 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 166739616 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 13. Let w = m + -10. Let i(v) = -2*v**3 - 5*v**2 - 3*v + 4. Is 11 a factor of i(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -729224 * -142.\nAnswer: 103549808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of 20*h**2 + 0*h - 1\/60*h**5 + 0*h**4 + 0 + 5\/2*h**3. Let w(o) = 2*o**2. Give s(w(n)).\nAnswer: -4*n**4 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, r: 6, q: 1, t: 4}. What is prob of sequence ttt?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -922436?\nAnswer: -1\/461218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y + y + 3*y)*(-4*y + 6*y - 3*y + (-2*y - 2*y + 5*y)*(-18 - 13 + 12)).\nAnswer: 40*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55728147?\nAnswer: 3, 18576049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - 151?\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 4464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 140 - 102. What is the remainder when 53 is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 6:16 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 23, 27, 33, 41, 51, 63?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (3 - -10 - 8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11563, 11544, 11525, 11506, 11487, 11468?\nAnswer: 11449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 0 = i. Let b be (-3)\/i*(-50)\/15. Find the second derivative of -b*g - 2*g**2 + 2*g + 4*g - 3*g wrt g.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 33 (b) 12 (c) -602\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.4582 + 13.5881965. Let l = 19 - 19.13. Let c = j + l. What is c rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55 - 49. Is 2\/(-12)*-214*t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7541 + 7546. Solve 0 = -r + a - 9, 3 = -d*a + 28 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 26\/24421?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)\/(sqrt(48)\/sqrt(12)))\/(sqrt(80)\/(sqrt(8) - (sqrt(8) - sqrt(48)\/sqrt(6) - sqrt(8)))).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6846 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 225536660 rounded to the nearest 1000000?\nAnswer: 226000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 23*u**2 - 21*u + 74. Let q be v(-24). Solve -4\/5 - 8\/5*t**2 - 2\/5*t**3 - q*t = 0 for t.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 12154*x**2 - 1241*x + 39. Let f(n) = -6078*n**2 + 621*n - 19. Let a(q) = -7*f(q) - 3*v(q). Suppose a(k) = 0. Calculate k.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10.6 - -49029039443\nAnswer: 49029039432.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 590 = -65*z - 60 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {c: 1, t: 2, r: 2, x: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, 29\/3, -4\/3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4660565034 to the nearest integer?\nAnswer: 1670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 6. Let m be ((-12)\/l)\/((-4)\/12). Suppose t + 8 = m*a + 28, 20 = 2*t - 3*a. Sort t, -4, -2 in decreasing order.\nAnswer: t, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-12*(-11)\/396)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.036? (a) 17 (b) -2\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + u**2 + 3855*u - 660. Calculate p(0).\nAnswer: -660","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*g + 30*g - 1887 = -19*g for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 2, 4, -5, 15 in decreasing order.\nAnswer: 15, 4, 2, 3\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10028728 by -5014364.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/10*6\/15?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j + 12. Let h be q(-7). Let p = -14 + h. List the prime factors of p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -13. Suppose -7*s = -2*z - 2*s + 37, -w*z + 33 = -3*s. Suppose -6*a + 3*a = -z. Solve y - 5 = a*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -27*v**2. Let i(d) be the second derivative of 17*d**3\/6 + 87*d. Calculate r(i(f)).\nAnswer: -7803*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-2)*r)\/r*r)\/r**(-15))\/((r**(-2\/7)\/r)\/r)**19 assuming r is positive.\nAnswer: r**(402\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.92 (b) -0.1 (c) 0.1 (d) -22\/947\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 7*n**2 + 6*n - 4. Suppose 21 = -8*r - 19. Determine s(r).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 h, and 1 c when three letters picked without replacement from hzhbzbehbcbbhfhfhhb?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 5*v - 24, -3*v + 47*n + 24 = 42*n for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dsdrbsbrdddrd. What is prob of picking 1 s and 1 d?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of 0 + 0*q + 0*q**3 - 1\/12*q**4 + 2*q**2. Let n(w) be the third derivative of -w**4\/8 - 250*w**2. What is c(n(k))?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0*b - 170 = 0. Suppose 5*g - 129 = -n, 4*n + 59 = 3*g - 0*g. Suppose -b - g = -5*x. Does 20 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h + h + 3*h)*(7 + 14 - 5).\nAnswer: -32*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/11)\/(p**(-1\/4)\/p))\/(p\/p**(3\/7)*(p**(-4)\/p)\/p)*p*p**(-2\/13)*p**(2\/7)*p*p*p**1*p*p**(-1\/5)\/p assuming p is positive.\nAnswer: p**(208781\/20020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 40 = 40. Let f(z) = z**2 + 20*z - 3. Let r be f(x). Let g be ((-2)\/r)\/((-4)\/18). Let t(y) = y**3 + 3*y**2 + 3*y - 2. Calculate t(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-51)\/9 - 8\/(-12) - -5. Let f be (b\/2)\/((-40)\/8 - -6). Solve f = -3*d + 4*d - 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -295, -298, -301, -304, -307, -310?\n\"Answer: -3*o - 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -345 + 6192. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1240*s - 5700 = -1090*s for s.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 772488 to the nearest integer?\nAnswer: 879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254 is divided by 160.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -196. Let j(h) = h**3 + 13*h**2 + 9*h - 11. Let l be j(-12). Calculate the highest common divisor of l and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**3 - 4*i**2 - 164*i - 962. What is w(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 73?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tavvthvav. What is prob of picking 1 t and 3 v?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 6*j + 4. Let n be m(6). Suppose q + n*p = 17, 2*q + 0*q - 26 = -4*p. Let z be ((-96)\/(-4))\/(q\/6). Are 16 and z unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(1573) - -1*sqrt(1573)))**2 + -3 + -4)*2.\nAnswer: 113242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 553 a factor of 5846316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 4*a + 1. Let t be d(2). Suppose -2*z + n + 17 = -5*z, 3*z + 1 = -t*n. Let i = z - 118. Round i to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 5*y = -31, 25*y - 23*y - 31 = -5*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.97 + -4. Let w = -263 - -262.8. Sort g, -2, 2, w in descending order.\nAnswer: 2, g, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 5*z**2 + 4*z. Let u be a(4). Suppose 5*s - 16 = 2*y + 14, 0 = 3*s + 5*y - 18. Let d be (-2)\/6 - (-2)\/s. Solve -x + u*x = d for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -48*i**4 - 5*i**3 - 25*i**2 + 3982. Let p(q) = 25*q**4 + 3*q**3 + 13*q**2 - 1987. Let c(g) = 3*h(g) + 5*p(g). Differentiate c(z) wrt z.\nAnswer: -76*z**3 - 20*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -171*j + 4280. Let a be v(25). Solve -3*q + 19 = -4*g, -29 = a*q + 2*g - 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**4\/3 + 5*o**3\/3 + 622*o**2\/3 - 1880*o\/3 - 832 = 0. What is o?\nAnswer: -24, -1, 4, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-26)*13\/(-130)*-65.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3353804, 0, 2 in decreasing order.\nAnswer: 3353804, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4634\/27 or -171?\nAnswer: -4634\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2405 = -855. What are the prime factors of x?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 142799 or 142662?\nAnswer: 142799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 7*u - 9. Let t be o(-5). Let v be 2 + -6 + t - 0. Do -2 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**2 - 27*t - 61. Let r = -5522 - -5519. What is v(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/5 + 3312*l\/5.\nAnswer: 2*l*(l + 1656)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 249 and 94288.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2849, -2852, -2865, -2894, -2945, -3024?\nAnswer: -3137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 25*u**2 + 8*u - 1287. Calculate p(22).\nAnswer: -2563","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -340*z**2. Let o(q) = 31946*q. Calculate o(u(v)).\nAnswer: -10861640*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 1686*o + 1319. Give n(-1).\nAnswer: -367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6832 = 10*p - 6248. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 16*n - 9. Suppose -3*u = -5*r + 7, 4*r - 12 - 20 = -2*u. Calculate the remainder when y(u) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1777809045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rarvvffff. What is prob of sequence rfvv?\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) + 4 + sqrt(128) + -1 + sqrt(128))*-5)**2.\nAnswer: 3600*sqrt(2) + 29025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3781, -3778, -3767, -3742, -3697, -3626, -3523?\nAnswer: -3382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16544074.\nAnswer: 2, 41, 201757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 + 34 - (-270)\/9?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6467)\/522 - -12)*4\/(-7). What is the nearest to m in -2, -21, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(4)*-1 + sqrt(800)\/sqrt(10) + (sqrt(200)\/(sqrt(32)\/sqrt(4)))\/(-1*(sqrt(5) + sqrt(5) + sqrt(45))))**2.\nAnswer: 196\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -3*n + 27, -4*x - 5*n = -2 - 35 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11479894, 11479900, 11479906, 11479912, 11479918?\nAnswer: 11479924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*2*sqrt(15)\/sqrt(3).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m + m - m)*(0 - 2 + 1) - 6*m + 5*m - 13*m in the form q + l*m and give l.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/4)\/((-6)\/4). Let v = -19.1 - -18.6. What is the third smallest value in v, k, -50?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 31\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4375, -4375, -4385, -4411, -4459, -4535, -4645?\n\"Answer: -u**3 + u**2 + 4*u - 4379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4556 + 4639. Which is the third biggest value? (a) -0.04 (b) 0.3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-102*j**3 - 490*j**3 + 2*j - 3*j + j**2)*(-3*j + 9*j + 3*j).\nAnswer: -5328*j**4 + 9*j**3 - 9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*p + 5. Suppose -p*l = -120 - 165. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8\/25 of a minute?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 16*m**2 + 48*m + 38. List the prime factors of k(-11).\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 9*u + 5. Let q = -44 + 53. Suppose -o + 17 = 5*j - 2*j, 5*j + 4*o = 19. What is the remainder when j is divided by c(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6558 a factor of 140642868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 82025 a multiple of 193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11000 and 66000.\nAnswer: 66000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(19 + -16))\/((-140)\/(-174)). Is x less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4229 is divided by 171?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1310145 (base 6) in base 16?\nAnswer: -116b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -2 - 3 - -5 - (-10 + 6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.372348 to zero decimal places.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 6*m + d, -6*d - 4 = 2*m - 4*d for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -458*f - 547*f + 376*f - 56*f - 437*f + 14*f**2.\nAnswer: 14*f**2 - 1122*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -g**3 + 2 - 1 - 6 + 1 wrt g?\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35\/64 + -1721\/6336. Calculate the common denominator of x and -101\/1800.\nAnswer: 19800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-3\/13))\/(((o**(-5)*o)\/o)\/o))\/(o**1)**(-1\/34) assuming o is positive.\nAnswer: o**(3005\/442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37 and 38850.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -23511 divided by -28\nAnswer: 23511\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22011203 (base 4) to base 5.\nAnswer: -2310230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 954034319 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2587950 is divided by 13549?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -116952 times -0.3?\nAnswer: 35085.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4210497887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - (-2 + 9 + (3 - 4) + -8).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -1355*b - 234*b + 1816*b**2 + 1589*b. Let o(k) = -3*k**2. Give o(j(h)).\nAnswer: -9893568*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 3 - 3)*(1 - 1 - 6)*(0 + 1 + 0)*(-x + 2*x + 0*x) as i*x + h and give i.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of q**8\/48 - q**5\/30 + 5*q**2. What is the third derivative of w(a) wrt a?\nAnswer: 420*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25551 = 428*l - 445*l. What are the prime factors of l?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -774*q + 56489. Calculate a(73).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 228446 = -2*h, 13*h - 456892 = 9*h + l. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.4 + 5. Let t = 5.88 - n. What is t rounded to one dp?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -808 - -825. Suppose -42*l - v*l + 1947 = 0. Solve -4*y - 2*w = y - l, 4 = w for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/(-9)*19175\/84370\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 565 - 12?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7987983593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5749018 and 220.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 533271305?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-4)*2\/12*4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -58, -115, -172?\n\"Answer: -57*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331484 is divided by 424?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -405654 - 15422?\nAnswer: -424406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 3 - 2)*(-221*v + 221*v - 15*v**2) + (2 - 2 + 2*v)*(0*v - 2*v + 0*v))*(2 + 2*v**2 - 2).\nAnswer: -68*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17019 is divided by 304?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**2 + 13*w - 32. Let y be f(2). Suppose -38694 = y*d + 3106. Round d to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -11*m + 23. Let v(j) = 46. Let f(p) = p - 30. Let x(q) = 5*f(q) + 3*v(q). Give -6*i(z) - 13*x(z).\nAnswer: z + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(-220)*616\/(-231)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*k = -4*x - 21*k + 1, 9 = x + 2*k for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 + 5*i - 14. What are the prime factors of r(6)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x**2. Let q(f) be the first derivative of 3*f**3 - 9. Calculate i(q(u)).\nAnswer: 243*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 10 = -4. Let i(v) = 3*v - 2. Determine i(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - d + 31, 12 + 38 = 4*r - 3*d. What is the remainder when 18 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -10*p. Let w = 37 + -32. Let k(x) = 16*x - w*x - 12*x. What is c(k(v))?\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1088\/9 - -121. What is the nearest to 0 in c, -3, 0.018, -0.3?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 70, 137, 242, 397, 614?\n\"Answer: 2*a**3 + 7*a**2 + 32*a + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 518*h + 2076. Let o be f(-4). Solve 0 = 4*s - 3*s + 2*j + 4, o = -s - 5*j for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h = -6*h - h - 140 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - 40014?\nAnswer: -40030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 1507*t**2 + 9 - 5207*t**2 - 6085*t**2.\nAnswer: -12799*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 176*v + 2041. What is t(11)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18100\/(-90500))\/(((-3)\/(-435))\/(-1)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 638 divided by 2.\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/2 - 765*j**2\/2 - 1897*j + 2280.\nAnswer: -(j - 1)*(j + 6)*(j + 760)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51497 + -7832. What is the ten thousands digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33203 (base 4) to base 10.\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5 = -2*v + 3, -v - 16 = -3*b. Suppose 0*s - b*s + 230 = 0. Let z = s - 31. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 8*b + 1. Let r(a) = -a. Calculate 14*r(f) + 2*u(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24.58 + 0.58. Let u = 23 + p. Is 0.2 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68839099 - 5537*i - 68839099 - 14029*i)*(0*i + i + i)*(i + i + 0*i).\nAnswer: -78264*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2977610237?\nAnswer: 7, 425372891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 0 - 48. Let g be (6\/s)\/(0 + -2). Let i = -145\/3 + 49. Which is the closest to i? (a) g (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -119 times -702135\nAnswer: 83554065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*r**3 - 22011*r**2 - 14667*r + 7335 = 0. What is r?\nAnswer: -2445, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 5*h + 8. What is the tens digit of w(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8174.46072+-1197\nAnswer: -9371.46072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 6*t**3 - 18*t**2 + 17*t + 1. Let h be q(1). Let m(r) = -6*r - 1. Determine m(h).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -6*b - b + 6*b. Let r(y) = 3*y - 3*y - y. Give j(r(i)).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - (-34)\/2) + -3. Let h be 1098\/a - (6 + (-234)\/42). Calculate the highest common divisor of h and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = i + 2*i - 12, i - 2*m = 4. Suppose 4*r = i*u + 112, -30 = -r - 5*u + 4*u. Which is smaller: r or 30?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1527485664 plus 0.125?\nAnswer: -1527485663.875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-1645)\/50)\/7 - (-2 - 3)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 11*f - 4. Let d(k) = 4*k. Let o(q) = 3*d(q) - s(q). What is o(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108808 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8503 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -676*k**2 - 586252784*k - 127105150424464 = 0.\nAnswer: -5637046\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a - 10. Let q be y(14). Suppose -q*x + 9 = -3. Factor 2*v**4 + v**5 + 13*v**x - 14*v**3 - 2*v**5.\nAnswer: -v**3*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2, 33, 152, 403, 834, 1493, 2428, 3687?\n\"Answer: 8*v**3 - 6*v**2 - 3*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007624813 rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 1880*m + 11247. Give b(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.029 - -0.529. Which is the biggest value? (a) -185 (b) r (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-468)\/1170)\/((24\/5)\/2).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 31*s**2 - 157*s - 43. Let h be a(-25). Is h at least 2268\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -2, 4, 2380, -4 in ascending order.\nAnswer: -4, -2, 2, 4, 5, 2380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 11 = -4*r + 4, -3*s = -3*r. Suppose r*t = 4 + 131. Calculate the lowest common multiple of 55 and t.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/33802 and -67\/1216872?\nAnswer: 1216872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a - 16*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 22 - 56*o**3 + 3*o + 23*o**3 + 32*o**3 + 5*o**2. Let z be x(6). Factor -50*p + 62*p + 4*p**5 - 16*p**3 - 4*p**2 - 4*p**2 + 8*p**z.\nAnswer: 4*p*(p - 1)**2*(p + 1)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30102 and 106146.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 2\/5. Let b = -1.8 - -1.6. What is the second smallest value in t, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 20 = -5*i, 15*h + 2*i = 14*h + 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 16 = 2*m. Suppose -3*g + 172 + 94 = m*t, 0 = 5*t - 5*g - 315. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/270 and -103\/41850.\nAnswer: 41850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*h - 4*k, 2*h + 5*k - 4 = 9. Let r(l) = -9*l - 1. Determine r(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58975805 and 170.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -92853 or -3992642\/43?\nAnswer: -3992642\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 275 divide 118935409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -99 in -1\/10, 2\/5, -1, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 3. Let m = 8 + c. What is the tens digit of (-8)\/(3*m\/(-75))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/39 (b) 0.5 (c) -0.51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*t**2 + 11*t**2 - 10*t**2)*(-3 + 1 - 1) + t - t - t**2 as f + a*t + l*t**2 and give l.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 + -5. Suppose 5*s - 15 = -5*m + j, 3*m - s = 4. Which is the nearest to 1\/5? (a) m (b) 2\/25 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 68, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o + 11. Let j be h(7). Let g be (-1 - -2)*4 + -1. Suppose i + 4 = -i, 2*n + g*i + j = 0. Put 4, n, -3 in decreasing order.\nAnswer: 4, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (159*z - 125*z - 273*z)*(1 - 6 + 1) + 4*z + 8*z - 7*z.\nAnswer: 961*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 plus 369467433973?\nAnswer: 369467434112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*b + 4356 = 112*b. What is the remainder when b is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -669804000 to the nearest 1000000.\nAnswer: -670000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11\/(2 - 945\/477) is divided by 31.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of d**6\/120 + d**5\/6 + d**4\/6 + d**3\/3 + 3*d**2. Let q be h(-8). Suppose 0*z = -2*z + q. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2704 divided by -2.\nAnswer: -1352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12.8 - 9. Let c = z + 1.2. What is the nearest to 0.1 in -1, 1\/8, c?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ogvg when four letters picked without replacement from gvppolppplloouop.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*v - 5*l = 19*v - 20, 2*v + l = 13 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/2)\/(3*3\/(-108)). Let v be 12*(-3 - 22\/p). Suppose 0 = v*z - 0 - 0. Solve z = 3*m - m - 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**3 - 5*n**2 - 2*n - 5. Let r(t) = 2*t**3 - 4*t**2 - t - 4. Suppose 0 = -7*d + 22*d + 60. Suppose -3*o + 2 = -13. What is d*b(z) + o*r(z)?\nAnswer: 2*z**3 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-4 + -3 + 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 90.499 to 0 dps.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -5 - 5. Let b(p) = 6*p - 25. Let w be b(q). Let u be (-462)\/w*(-30)\/4. Calculate the greatest common divisor of 66 and u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 1438 = -44*q + 42*q, -3*h - 2872 = -4*q. List the prime factors of q.\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 485 = 3*v + 482, -3 = -4*v - 5*x for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 194*w + 194 - 194 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 30 + 0 = 3*l, 18 = 3*l - 3*h. Let k = -2 + l. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13319 - 13269. Solve 0 = -7*w + h*w + 172 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-62)\/93)\/(-1 + 842\/810). Let f = b - -139\/8. What is the third biggest value in -2\/3, f, 0.1, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4715*y - 10909*y + 6241*y - 1.\nAnswer: 47*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s. Let k be o(-1). Let n be (20\/(-8))\/(k\/(-4)). Find the second derivative of 21*j**5 - 9*j**n - j - 11*j**5 wrt j.\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -29017\/2 (b) -4\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 - 3*z + 5. Let m be c(3). What is the units digit of (-1)\/(2\/(-5)*5\/m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -0.051 (b) 1 (c) 0.2 (d) -13 (e) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181 - 68 = 22*u - 73 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 575420.8 millimeters?\nAnswer: 0.5754208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(17\/5)*s**2)**0 assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 368323, 368324, 368325, 368326, 368327, 368328?\nAnswer: 368329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -2*y + 126. Let g = 78851 + -78837. Calculate the highest common divisor of y and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-4\/11)*b*b\/((b*b**(-1\/2))\/b*b))\/((b**8*b)\/(b\/(b\/(((b\/b**(-1\/11))\/b)\/b)))))**37 assuming b is positive.\nAnswer: b**(-5735\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 17 = 19951*v - 19954*v, -8 = -23*r - 3*v for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 5*f + 24. Let n(m) = -m**2 - 5*m - 10. Let j be n(-2). Let c be k(j). Solve -c*q + 20 = -b - 4*b, 3*b = -q + 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 1 + sqrt(7) + 5 - (sqrt(7) + -2*sqrt(567)))**2.\nAnswer: 228*sqrt(7) + 2563","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -r**5\/60 - 224*r**2. Let z(l) be the third derivative of 29*l**4\/6 - 15*l**2. Calculate f(z(i)).\nAnswer: -13456*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 300567*b**3 - 90544*b**2.\nAnswer: 1803402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 655.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1295 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4732389 to the power of 1\/3, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*m - 2 = -84, -2*o = 5*m + 35. Let l = -2 + o. Let v = -18 - l. Solve 0 = -2*r + r + v for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60 - 22. Let o = j + -24. Suppose 1 = -v + o. What is the remainder when v is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 95 or 20432?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zj when two letters picked without replacement from jzzyyyyzzyyyyy?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 1. Let t(b) = 5*b**2 - b - 6. Determine 6*g(n) - t(n).\nAnswer: n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -701, -1405, -2117, -2843, -3589, -4361, -5165?\n\"Answer: -t**3 + 2*t**2 - 703*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34944 and 273.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 1)*(68 + 95 + 18)*(1 + 1 - 3)*(-4*t - t + 3*t)*(-2 - 2 + 2) to w + d*t and give d.\nAnswer: -724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -138 + 143. Sort q, -6, 12 in ascending order.\nAnswer: -6, q, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 2*m - 2*m**2)*(2 + 4 - 4)*(-33*m - 25*m + 39*m).\nAnswer: 76*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 9*m**2 - 24*m - 14. Let h be x(-11). Suppose h*n = -54 + 78. Solve -2*y = -3*z + 3*y - 7, 0 = -n*y - 3 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6\/17, 383, 55 in decreasing order.\nAnswer: 383, 55, -6\/17, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/1*(-45)\/(-6345)*47\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 293.2 - 306. What is the fifth smallest value in p, 2, 1\/2, -0.4, -4\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 8:57 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -171 plus 46?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k + 15 = 4*k, 2*k = -3*b + 6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 4, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -11*a**3 - a - 1. Let g be h(-1). Let i be (6\/(-4))\/(150\/(-500)). Let f be (-2)\/i + g\/(110\/(-16)). Sort 4, 2, -3, f in ascending order.\nAnswer: -3, f, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45*7)\/((-3730)\/(-746)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w - 6. Let l = 136 + -129. Let b(t) = -t + 2. What is l*b(z) + 2*p(z)?\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 8*z - 5. Let j(s) = 17 - 14*s - 6 - s. Let k(n) = 4*j(n) + 9*r(n). Is k(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0*v + 11 = -3*x, 2*x - v = 1. Is 95\/(-2)*(-4 - x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (7 - -1 - 2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(209) + sqrt(209)*-1)\/sqrt(11) - (-3 + (0 + sqrt(19))**2)) + (sqrt(171) + 1 + 1)**2)*-3.\nAnswer: -480 - 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x**2 - 1737 + 1737 + 5*x**2.\nAnswer: 14*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3225 = 3*w - 3*g, 7*g + 1080 = -w + 3*g. Is 12\/54 + -346*w\/72 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -0.5, -6291, 2, -4, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - 8 - -20) + (11 - ((4 - -3) + -1)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70592 is divided by 11757?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.56737km to millimeters.\nAnswer: 18567370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.81 + -4.523. Let a = k + -0.28699419. Round a to seven dps.\nAnswer: 0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1906613*s**4 - 55333.\nAnswer: 7626452*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2603?\nAnswer: 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/3 (b) -0.1 (c) -66\/5 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -75*q - 42. Let n(a) = -150*a - 85. Let g(i) = -5*h(i) + 2*n(i). Let z be -6*(-3 - (-34)\/6). Let p be g(z). Round p to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22880403 is divided by 2805?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 13 - 2 - (-1 - -11)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9 - 2015\/217)\/((-15)\/(-63)))\/(-10).\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.412635 centuries to decades.\nAnswer: 34.12635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b**4 + 3*b**2 + 3*b**4 - 17*b**5 + 2*b**2 wrt b.\nAnswer: -1020*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -5, 26, 53, 70, 71, 50?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108 + -12 + 45 + (27 - 67).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209663285.\nAnswer: 5, 13, 23, 59, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33760, -33778, -33808, -33850?\nAnswer: -33904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and 21339.112045.\nAnswer: 21338.612045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + (-350)\/(-126))\/((-24)\/36).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 23 = -2*n + 2*d, -71 = -n + 2162*d - 2167*d for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*t - 61*t = -12. What is the hundreds digit of (3 - (-85)\/t)\/(2\/(-56))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11944 and 14?\nAnswer: 83608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nml when three letters picked without replacement from vbmbhhnhnlbmhbnnhhh?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 2*i**2 + 0*i - 3*i - i**2 - 1. What is the first derivative of t(m) wrt m?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 11 - (-2 - -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9232, -12232, -15228, -18220?\nAnswer: -21208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18395?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 33790.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 144*u**2 - 14693*u + 534. What is k(102)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-3) + (-534)\/(-18). Let v = d - 17. Calculate the greatest common divisor of 30 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 20*v = 38 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 t, and 2 b when four letters picked without replacement from {q: 2, i: 2, t: 2, v: 2, c: 4, b: 3}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -13*m - 5. Let s = -17 + 15. Is r(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 15, 4, -2, 0, 183.\nAnswer: -2, 0, 4, 7, 15, 183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40366326 to the nearest integer?\nAnswer: 6353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 328173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**2\/2 + 422*d = 0.\nAnswer: 0, 844","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5662530, 5662529, 5662528, 5662527, 5662526?\nAnswer: 5662525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*426.547.\nAnswer: 42.6547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.17047852 - -1.\nAnswer: 1.17047852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -67.8 less than -748.5630691?\nAnswer: -680.7630691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*q + 4*k - 28, 2*q - 49 = -k. Let a = q - -1. Calculate the highest common divisor of 10 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -306 + 311. Let u(o) = 16*o + 3. Let h(l) = -37*l - 5. Let z(a) = t*u(a) + 3*h(a). Let m(i) be the first derivative of -2*i**3\/3 + 1. What is z(m(p))?\nAnswer: 62*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 2:24 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 217*h**2 + 591*h + 314. Give k(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 23.147595 milliseconds?\nAnswer: 0.0000064298875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*d = 2*x - 7, 7 = 3*x + 4*d. Solve 4*z + 3*j - 13 = 0, 3*j - x = 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8328 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/9 + 3053186*g\/9.\nAnswer: -2*g*(g - 1526593)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -22*k**2\/7 + 49030*k\/7 - 339924 = 0.\nAnswer: 546\/11, 2179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-29)\/(15\/36*3). Which is bigger: -24 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*h - 90 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 595677?\nAnswer: 3, 23, 89, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -151\nAnswer: 5\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49\/8 - 25\/8. Find the common denominator of d and 129*((-5957)\/1190 + 5).\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -13*g + 3*z, -2*g - 161*z - 18 = -157*z for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 15*m**2 - m. Let r be t(1). Let i = 16 - r. Solve 0 = -2*q - i - 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-14\/3)\/(v*v**(-5\/7)))\/(v**9\/(v**(-1\/4)\/v)))**(6\/7) assuming v is positive.\nAnswer: v**(-1277\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 545885 divided by 109177.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3\/(-6)*-11510 + (1 - 8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 16, -4 in increasing order.\nAnswer: -4, 2, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103557, 103631, 103715, 103809, 103913, 104027, 104151?\nAnswer: 104285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/30*5\/(-9)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 10*t + 3. Suppose 630 = 26*h + 64*h. What is the remainder when h is divided by i(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -173, -1305, -4373, -10343, -20181, -34853?\n\"Answer: -161*k**3 - 2*k**2 + k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a + 10. Let c(i) = 5*i - 41. Let q(n) = -2*c(n) - 9*r(n). What is q(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - 2*h + 7*h)*(-2 + 3 - 3) + 0*h + 0*h - h + 0*h - 2*h + 3*h - 3 + 17*h - 7*h - 5*h.\nAnswer: h - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 60.9.\nAnswer: -60.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.11 + 1.09. Let r = 1016 - 1012. Which is the second smallest value? (a) q (b) r (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7*(19\/7 - 3). Suppose 4*h + 3*u = -3, -2*u = -h + 6*h + a. Solve -q + 5*f + 24 = h, -f + 15 = -4*f for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.1263 + -1.072. Round v to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4972440?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 113200609649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 6411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - b = -22. Let u be (-375)\/55 - 2\/b. Let i(r) = -r**3 - 4*r**2 + 9*r + 5. Is i(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/16, -3, 7, 8, 0.3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10266 + 10356. Solve k + 29*k - t = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9678670 less than 9678670?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 33101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/(-48))\/(15\/(-120)*6)*(-72)\/63.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-868)\/(-1240)*(-4)\/42*-6. Which is the nearest to 25? (a) m (b) 0.5 (c) 0.3 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 138542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/9 + 48424*f**2\/3 + 96850*f\/3 + 145276\/9.\nAnswer: -2*(f - 72638)*(f + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r + 4*r + 2*r)*(69 - 69 - 77*r)*(-29*r + 75*r - 30*r) to h*r**2 + j*r + z + y*r**3 and give y.\nAnswer: -4928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 72033159 to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 181349 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7804.\nAnswer: 2, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4186181 is divided by 1447.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2 + 21. Suppose 0 = 5*g - 2*o - 52, -g + 16 = -4*o + 2. Let a be j(g). Calculate the greatest common factor of 13 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 23*y**2 + 53*y - 144. What is v(-20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -109*g + 46. Let a be f(-4). Suppose 462 = -10*v + a. Find w such that 74\/5*w**v - 8*w + 8\/5 - 12*w**3 + 18\/5*w**4 = 0.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.082834563 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88568399 is divided by 4600?\nAnswer: 4599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07858 and 0.13?\nAnswer: 0.0102154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8772?\nAnswer: 2, 3, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + f + 8, 12*q - 13*q + 2*f = -9. Let v be -1 + 3 + (-26)\/10. Which is the third biggest value? (a) -2\/5 (b) 0.2 (c) v (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 456572 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -59478243 and 3?\nAnswer: -178434729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7607?\nAnswer: 7607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10026, -10024, -10022, -10020?\nAnswer: -10018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkff when four letters picked without replacement from {v: 5, k: 3, f: 10, p: 1, u: 1}.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 558961 is divided by 3751.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12560 and 126856?\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -33*y**3 - 2*y**2 + y + 1. Let o be h(-1). Suppose -5*c + x + 19 = 0, -5*c - 30*x + 34*x = -o. Let p(w) = 10*w + 2. Give p(c).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + sqrt(51)\/(sqrt(3)*4)).\nAnswer: -2 + sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 6 = -3*r. What is the smallest common multiple of (-141)\/(-15) + 3\/5 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135 (base 8) to base 9.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 11 + 25 = -4*y, 5*k - 3*y - 30 = 0. Suppose 0 = p + 2*q, 4*q = -7*p + 3*p + 8. Calculate the remainder when p is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2995\/1539 + -142\/81. Are -1 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/6 - (14127217\/(-237354) - (-6)\/17)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21576 (base 9) to base 13.\nAnswer: 669c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (221\/(-51))\/(7 - 369816\/52830)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r*r**(-2\/25))*r*r*r*r**(2\/145) assuming r is positive.\nAnswer: r**(2243\/725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 35*t**3 + 11*t**2 + 6*t + 22. Let h(o) = -52*o**3 - 16*o**2 - 9*o - 32. Let d(k) = 5*h(k) + 7*x(k). Is d(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 6*o**2 + 4*o - 3. Suppose -5*f = -0*f - 10. Suppose f*q + 20 = -2*q. Give k(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3775, -7553, -11329, -15103?\nAnswer: -18875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s - 25*s + 24 - 36.\nAnswer: -33*s - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6611\/17 + -389. Which is the fourth biggest value? (a) 1 (b) -0.6 (c) 2\/3 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*s - 0*v - v, 5*v + 35 = -5*s. Let d(q) = q**3 + 3*q**2 - 13*q - 1. Let x be d(s). Calculate the highest common divisor of x and 84.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49218 - (-10 + 15 + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*14*964\/(-24). Let s = v + 572. Let t = 10462 - 345214\/33. Find the common denominator of t and s.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1371, -1517, -1689, -1893, -2135, -2421, -2757, -3149?\nAnswer: -3603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 2*h - 1. Let l(f) = 53*f**2 - 5*f + 1. Give -l(y) - 2*s(y).\nAnswer: -51*y**2 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/696497168?\nAnswer: 1\/696497168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1431 + 21?\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 12*f**2 + 3*f - 1. What is the units digit of t(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69230*k**2 - 139910*k**2 + 69449*k**2 + 13*k - 176 wrt k.\nAnswer: -2462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15032.2877 to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - v + 235. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191062 at least as big as 191076?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-26 - (-114 + -27) - 25).\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i + 8. Let t(v) = 16758*v. Give t(c(n)).\nAnswer: 16758*n + 134064","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**4 - 90*x**3 + 36*x**2 + 1128*x + 1440.\nAnswer: -3*(x - 4)*(x + 2)**2*(x + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -11*(-31 - 3 - -5). Suppose 1033 + n = 4*o. Let 3*f**2 - f**2 - 18*f + 23*f + 47*f + o = 0. What is f?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.6497178ms in days?\nAnswer: 0.0000002505754375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 5, 0*t = 3*t - 5*d + 17 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.265792km in centimeters?\nAnswer: 426579.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110 (base 3) in base 12?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -254848, -254847, -254846, -254845, -254844?\n\"Answer: y - 254849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 7*y**2 + y - 8. Let q be v(7). Let u(s) = 2*s. Let w(f) = -f**5. Let h(o) = q*u(o) - 3*w(o). Find the second derivative of h(j) wrt j.\nAnswer: 60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 43\/2 of a millimeter?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -144.98830137 minus -0.09?\nAnswer: -144.89830137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 11:55 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.0209+-135794709925\nAnswer: -135794709924.9791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76960 divided by 52.\nAnswer: 1480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d - 2. Let n be p(4). Let t = 46.2 + -37. Let s = 9 - t. Which is the closest to 0.1? (a) n (b) -1\/9 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 7. Let l = -1 + f. Suppose c**5 + 0*c**4 - l*c**4 + c**4 = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.07 - -0.01. Let n = -0.36 - s. Let u = n + 0.2. Which is the biggest value? (a) 3 (b) u (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3585 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-168)*3)\/(11\/(-154)*-4).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -6*w + 12. Let q be (5\/(-1) + w)\/(4\/14). Sort 0, -5, q.\nAnswer: q, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 85\/28 + -11\/4. Let w(j) = j**2 - 5*j. Let x be w(2). Let l be 4\/150*((-4 - -15) + x). Which is the closest to p? (a) -0.3 (b) l (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o + 3 - 6 + 3 + 3. Let f be t(3). Let a = 0 - f. What is a rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 + 3*m**3 - 3*m**3)*(-2*m - 2 + 2) + 35243 - 1453*m**4 - 35243.\nAnswer: -1455*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1112202022120 - 3?\nAnswer: 1112202022111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1089073290971 less than -10?\nAnswer: 1089073290961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x**2 + 4*x - 1. Let i(q) = -7*q**2 + 7*q - 4. Determine -4*i(f) + 9*p(f).\nAnswer: -8*f**2 + 8*f + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*j - 2141 - 1259. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - z + 3. Let m be r(5). Let p = -3462 + 3433. Which is greater: p or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*u = -4*o + 29*u + 2837, 0 = -3*o - 4*u + 2159. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 573*x**3 - 129504*x**2 - 17711220*x + 185472 = 0. What is x?\nAnswer: -96, 2\/191, 322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-2)*(-889)\/(-190500)*60\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 17.957. Let l = n - -0.002. Let s = -0.040858 - l. Round s to five dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18\/13? (a) 7 (b) 4 (c) 2\/5 (d) 70 (e) -5\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*l**4 - 22*l**4 - 15*l**4 + (-l**2 + 0 + 0)*(5*l**2 - 2*l**2 + 0*l**2).\nAnswer: -28*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -196 - -168. Let i be ((16\/(-14))\/(-4))\/((-2)\/x). Let w = 0 - 0. Solve -f - i*f = w for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19388 and 15851.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(576)\/sqrt(8) - (sqrt(2)*-2 + -3)))*5)**2.\nAnswer: 2800*sqrt(2) + 4425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 4*l**2 - l + 5. Let h be y(4). Let a be 14\/(-21)*(-1)\/(-2)*h. What is the second smallest value in -4, 0.18, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1350 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-2) - (8 + (-4 - 5)). Solve 2*z - k*g - 10 = 0, -z + g = 2*g + 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 181 + 123*i - 185 to the form y + q*i and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/21 - -1)*511\/(-730).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -40*m. Let j be l(-1). Calculate the common denominator of -21\/16 and (-94)\/j + 2\/1.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and -0.352508919.\nAnswer: -4.352508919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -1762*n**2. Let b(v) = 13*v. Calculate j(b(q)).\nAnswer: -297778*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 136526370 and -1.\nAnswer: 136526369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27166 - 16103. Round w to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**4 + 281*r**3 - 2778*r**2 - 224943*r wrt r?\nAnswer: 12*r**2 + 1686*r - 5556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -61717404 divided by -868\nAnswer: 71103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2561.5485us?\nAnswer: 0.000042692475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18701 and -793.8?\nAnswer: -14844853.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59.1 - 59.24. Which is the nearest to -1? (a) 0.3 (b) z (c) -4 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 265438608 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49 - 395\/8. Suppose -65*b - 10600 = -2735. Put b, 1, 4, g in ascending order.\nAnswer: b, g, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y. Let t(c) be the second derivative of -37\/2*c**2 + 0 + 40*c + 1\/3*c**3. Give t(s(u)).\nAnswer: 2*u - 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-8) + (-1 - -3 - 3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -0.18 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52 + -22. Suppose -22 = -5*p + v, 5*p - 2*v = 3*v + c. Calculate the remainder when 11 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, n: 3, l: 1, z: 3}. Give prob of sequence zggn.\nAnswer: 9\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 136, 147, 122, 61?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2299) + ((sqrt(2299) + (sqrt(2299)*1 - sqrt(2299)))*-4)**2 + 2 - (6*sqrt(171)*-1 + (sqrt(171) + -1 - sqrt(171)) + -5).\nAnswer: 29*sqrt(19) + 36792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -493 + 1646. Is -4 - (10\/(-5) - v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2119 and 770175.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1067360 = 49*c + 31*c. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*s**2 + (-2*s**2 + 0*s**2 + 0*s**2)*(1 + 1 + 1).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 25120?\nAnswer: -3\/25120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k + 33\/7*k**2 + 1\/7*k**5 + 0 - 23\/7*k**3 + 3\/7*k**4.\nAnswer: k*(k - 2)*(k - 1)**2*(k + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-5)*840\/126.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2621404 to the nearest 10000.\nAnswer: 2620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28.1 - -24. Let g = p + 4. Let w = -44\/3 - -15. What is the closest to -0.1 in g, 2\/3, w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-3 + 8)) + (6 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(2\/(-2)*2))\/((-6)\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/206, -18, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264)\/sqrt(6))\/sqrt(4) - -3*sqrt(22)\/sqrt(2) - ((0 + sqrt(11))*-5 - (sqrt(11) + sqrt(11) + (-3 + sqrt(22)\/sqrt(2) - sqrt(11) - sqrt(11)))))**2.\nAnswer: -60*sqrt(11) + 1109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -7*a + 10*a. Let v be ((-4)\/27)\/(a\/12). Which is smaller: v or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94212034?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5257606446 to the nearest integer?\nAnswer: 1739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 14 = 34. Solve 0 = -11*y + 6*y + b for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3718 - 3718.033. Which is bigger: g or -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 317, 331, 331, 311, 265?\n\"Answer: -a**3 - a**2 + 24*a + 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f**2 - 2409*f + 4913*f - 2500*f - f**3 + 13. What is u(7)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3 = -5*g. Suppose 0 = g*r - 5 - 1. What is the third derivative of 3*l - 3*l - 3*l**4 + 4*l**4 - r*l**2 wrt l?\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 84581737*l*x**3 + 11*l*x - 336*l - 966*x + 2 wrt x?\nAnswer: 507490422*l*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m - 16. Suppose 0 = -2*w + 5*q - 35, -4*w - 4*q - 22 = 6. What is p(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/11*v**5 - 40\/11*v - 21\/11*v**3 - 47\/11*v**2 - 12\/11 - 1\/11*v**4 = 0. What is v?\nAnswer: -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 3. Solve -u - 4 = 2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zpab when four letters picked without replacement from {b: 1, p: 1, a: 2, z: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 455.275 millennia to centuries.\nAnswer: 4552.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (0 - (29 + -16)) - 11.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 24?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111101110111 + -11000011010?\nAnswer: 10100101011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.025, 0.2, 1\/2, 0.08, 0.04, -2\/13, -1\/5?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2.557 * -0.2\nAnswer: -0.5114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**2 + 2*u**4 + u**2 + (u**2 + u**2 - 3*u**2)*(u**2 - 2*u + 2*u) + 28123*u**4 + 32*u + 18*u - 28150*u**4.\nAnswer: -26*u**4 + 50*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5429509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z**3 - 5*z**2 + 5*z**2 - 2*z**3.\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1286, 10352, 34976, 82940, 162026, 280016, 444692, 663836?\nAnswer: 945230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9848 - 12073649\/1226. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 451 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -28 + 0*l - 9\/2*l**2. Let n(s) = 26*s. Give n(j(w)).\nAnswer: -234*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3 - 8. Let b(k) = -13 - 108*k**2 + v*k**2 + 13. Let s(f) = 2*f. Determine b(s(l)).\nAnswer: -388*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14240243 is divided by 609?\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3*n - 1408, a - 2*n - 336 = 354. Suppose 4*s + 3036 = 5*g, 3*s + 1918 = 2*g + a. What are the prime factors of g?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 55*m + 28. Let y(g) = 2*g**2 - 163*g + 83. Let b(l) = -17*j(l) + 6*y(l). Let t be b(-9). Factor 0 + s**t + 2\/3*s**3 - 1\/3*s**2 + 0*s.\nAnswer: s**2*(s + 1)*(3*s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 14*k**2 + 13*k + 4. Let l be y(13). Suppose 0 = 2*h + q - 1, -l = -3*h - 4*q. Which is smaller: h or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/58797 and -5\/32526.\nAnswer: 1528722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*p + 9*p = -450. Is 2\/7 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**4\/o)**(-1)*o**(-1\/3)*o**(-1) assuming o is positive.\nAnswer: o**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5)*o**(-8\/11))**(2\/7) assuming o is positive.\nAnswer: o**(-18\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -2*q + 2*s - 976, -2*q + 5*s = 980. Let f be q\/(-2) - (11 - 14). Suppose 7*k - 212 = f. Is 32 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**29\/d*d**30)**(-2\/87) assuming d is positive.\nAnswer: d**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 282, 1652, 4084, 7578, 12134?\n\"Answer: 531*t**2 - 223*t - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(5*sqrt(119)*1 - (2*sqrt(119)*-5 - sqrt(119))))\/((5*sqrt(252))\/(sqrt(100) + (sqrt(100)*-1 - sqrt(100)))).\nAnswer: 16*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, z: 2, v: 4, m: 5, x: 1, t: 7}. Give prob of picking 1 u and 2 m.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 103168 (base 16) in base 12?\nAnswer: 432174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*i = 343149, -23*r + 13*i = -20*r - 1029455. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -15476 (b) 1 (c) -0.4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 313005928?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -159223 - -3893?\nAnswer: -155330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-280)\/88 + 2\/11. Put 17, -4, r, 5 in decreasing order.\nAnswer: 17, 5, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -136 + -2?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42*d**3*h**2 - d**3*h + 8*d*h**4 - 482*d*h wrt h.\nAnswer: 84*d**3 + 96*d*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -740 - -1666. Let s = 1459 - x. Is s a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 4*c**2 + 5. Let m be j(-4). Let s = 35 - 30. Suppose -s = -m*x, 2*p + 0*p - 2*x - 34 = 0. Calculate the lowest common multiple of p and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vrnst. What is prob of sequence vr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 14*i - 5 - 7 - 30. Let r be a(6). Let v = r + -42. Which is smaller: v or 3\/70?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*g - 5*g, -5*r + 5*g + 5 = 0. Suppose -r*h = 5*u - 16, -3*u = -u - 2*h. Let z = -363 + 380. Solve 0 = 4*d + u*s + 4, d - 4*d - 5*s = z for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-103802)\/(-16) - (1 - -2). Let f = 6495 - y. Calculate the common denominator of -73\/14 and f.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**36)**(-3\/11)\/((p**30\/p)\/(p*((p**7*p)\/p*p)\/p)))**9 assuming p is positive.\nAnswer: p**(-3051\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204 + 5044*f**3 + 3*f + 2028*f**3 + 2267*f**3 + 204 - f**2.\nAnswer: 9339*f**3 - f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1046.1 - -1046.4. Sort t, -4, 41, 3, 8 in decreasing order.\nAnswer: 41, 8, 3, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278346.\nAnswer: 2, 3, 23, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -88, 2\/3, 0.4, -0.02.\nAnswer: -88, -0.02, 0.4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27 * 1.15.\nAnswer: -31.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247 + 72 = 24*s + 31 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 65602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000282 to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/8, 2, -34, 1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(5324))\/(sqrt(24)\/(sqrt(6)*1)).\nAnswer: -22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*z + 21954 - 533 = -689*z + 1975 for z.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -130, -121, -112, -103, -94?\n\"Answer: 9*v - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-12)*(-1 - 2). Let d(w) = 2*w**u - 1 - w**2 - 2*w**2. Let o be (-59)\/((-295)\/50) + -11. Let s(p) = 15*p**2 + 20. Give o*s(a) - 20*d(a).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 3*v - 53, -73252*d - 15970 = -72613*d + 5*v for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9071549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 14*h + 55. Let v(a) = -5*a - 19. Determine -2*c(f) - 7*v(f).\nAnswer: 7*f + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 1:57 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-126)\/(-56))\/((-6)\/(-80)). Suppose z = -3*n + 207. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -135 + -551?\nAnswer: -1016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 127869?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.5 - -434952.\nAnswer: 434941.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 18*a**6\/5 + 83*a**4\/6 + 24*a + 26. What is the third derivative of p(f) wrt f?\nAnswer: 2592*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 3*g - 81, 0 = -18*s + 15*s - 15. Is ((-2251)\/(-4))\/((48\/6)\/g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57eb64 (base 16) in base 2?\nAnswer: -10101111110101101100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168 and 88.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 10*s**2 + 14. Let i(o) = o**3 + 14*o**2 - 16*o - 5. Let a be i(-15). What are the prime factors of r(a)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 7 + 4)*(-2 + 6 - 3)*(5*y + 4*y - 4*y)*(7*y + 0*y + 6*y)*(-1 + 0 + 4).\nAnswer: 3315*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34184*g + 102554*g - 34189*g + 18*g**2 - 6*g**2 - 34183*g + 11*g**2.\nAnswer: 23*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - -6. Suppose 0 = 5*r + v + 30. Let m(f) = f**3 + 7*f**2 - 9*f + 7. Calculate the remainder when 57 is divided by m(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - -4 - ((-5 - 0) + 3). Suppose 3*q + h*q - 9044 = 0. Suppose 4*j = 3*x - 0*x + q, 656 = 2*j + x. What is j rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 3*r - 834 = -1667 + 828, 0 = -3*t - r - 13 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.1 - -3. Let u = -0.2 - w. Let x(o) = 55612*o**2 + 3*o - 3. Let a be x(0). What is the second smallest value in u, a, -2, 17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -23, 56, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68100, -4, 2, -1 in decreasing order.\nAnswer: 2, -1, -4, -68100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1589 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 0 - 4 - a + 3 + a**2. Let y = 85 + -175. Let f be 20\/9 + 20\/y. Let i(s) = 4*s**2 - 3*s. Give f*g(z) - i(z).\nAnswer: -2*z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + l = 0. Suppose -5*d + 0*d + 25 = l. Calculate the highest common factor of 10 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 - -40.3. Is -0.03 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 8:14 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 952, 1876, 2736, 3502, 4144, 4632, 4936, 5026?\nAnswer: 4872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 164804 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/((-40)\/12))\/((-16)\/144*9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 7\/4*i**4 + 4*i - 9 + 0*i**2 + 0*i**3. Differentiate l(v) with respect to v.\nAnswer: 21*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1952, 1973, 2010, 2063, 2132, 2217, 2318?\nAnswer: 2435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppkpkkppp. Give prob of sequence ppkk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - (-2 + 2))*-2. Suppose 0 = 2*i - 0*s - s - 3, i - s + 1 = 0. Put -5, j, i in decreasing order.\nAnswer: i, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 3942 - (120\/6 - 11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000060460886 to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22 or 4?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwicwxwywww. Give prob of sequence wi.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.71 and 205596.\nAnswer: 351569.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 91 and 87.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 0*r - r)*(-985 + 469 - 653 - 213).\nAnswer: -2764*r","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Divide 70 by 4.\nAnswer: 35\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -5. Let n be 9\/6 + 33\/(-30). Which is the nearest to n? (a) 0.5 (b) 5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4*sqrt(343) - sqrt(343)).\nAnswer: -70*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -73, -254, -547, -946, -1445, -2038?\n\"Answer: s**3 - 62*s**2 - 2*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 z when two letters picked without replacement from zzzzmmzzzzzmmz.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5434 + 573. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -6783*v**3 - 3*v**2 + 3*v - 6727. Let c(w) = 17*w**3 + w**2 - w. Let b(i) = -3*c(i) - s(i). What is the first derivative of b(j) wrt j?\nAnswer: 20196*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 113*n**2\/2 - 29*n + 55. What is the tens digit of m(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 x, and 1 y when three letters picked without replacement from {v: 1, x: 4, y: 3, z: 12}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**3 - 17*j**2 + 64*j - 48 = 0. Calculate j.\nAnswer: 1, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 z when two letters picked without replacement from zssszssszzzzzzszsszz.\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 28\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 8*b + 66. Let q be l(-9). Let c = -0.16 + -1.04. Let r = c - -1. What is the nearest to r in -1\/2, q, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + y - 1. Let w(v) = -3*v**3 + v**2 - v + 3. Suppose -43*p - 6 = -49. Calculate p*w(j) + l(j).\nAnswer: -3*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/3, -6, 0.2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 6*v**3 + 4*v**2 - 2*v - 8. Let r(z) = z**3 + z**2 - 1. Determine -4*r(a) + y(a).\nAnswer: 2*a**3 - 2*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11543.92192 rounded to the nearest 100?\nAnswer: 11500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -209 divided by 29.\nAnswer: -209\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -306 (b) 4 (c) -164\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43216044 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1436536885.\nAnswer: 5, 7, 41, 61, 16411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17150882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 10 = 5. Let n be ((-6)\/(-25))\/(2\/h). Suppose -4*w - 3 + 15 = 0. Which is the nearest to 0? (a) n (b) w (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 0*d**2 - d**2)*(d**3 - 26*d + 48*d - 27*d).\nAnswer: -2*d**5 + 10*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -740 + 741. Which is the fourth smallest value? (a) i (b) -2\/11 (c) -0.5 (d) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + r - 18 + 65 = 0, -5*r = 2*f - 29. Let i(d) = -d**3 + 24*d**2 - 14*d + 23. Is i(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j**2 - 88 + 58*j + 64*j - 181*j + 95 + 59*j.\nAnswer: -8*j**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*-1 - (-4 + 6). Let o be 50\/18 + t\/(-18). Solve 0*w + 3*w = o, -2*w + 1 = i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f**2 + 31*f - 15. Give l(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -516, 4, 5, -2 in increasing order.\nAnswer: -516, -2, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-30))\/((-14)\/5)*(-106)\/(-13674)*-43.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -2 + 4 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 0, -30\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - m**2. Let h(x) = -10*x**3 + 3*x**2 - 105*x + 107*x + 7*x**3 + 34. Let t(p) = h(p) + 3*y(p). Differentiate t(f) with respect to f.\nAnswer: -18*f**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxydox. What is prob of sequence xo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ji when two letters picked without replacement from {t: 1, j: 2, i: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 12 + -23 + 20?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194404784?\nAnswer: 2, 7, 47, 36931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -5*o - 16. Let n(v) = 4*v + 15. Let y(w) = 3*l(w) + 4*n(w). Let q be y(-12). Suppose -4*f + 6*f - 4 = q. Solve 0 = f*i - 0 - 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4)*-5*(-9)\/(-45))\/(291\/(-37248))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.207 + 1040285143.\nAnswer: 1040285141.793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -7*o**3\/6 - o. Let d(f) = -51*f**2 + 89*f**2 - 40*f**2. Calculate k(d(j)).\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (11 - 8) + 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1480 + -600. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 487 divide 4518908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7312237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 6682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 6*u - 600. Suppose 4*h + 57 - 175 = 2*m, 5*h - 5*m = u. Suppose -31*x - 2639 = -122*x. What is the greatest common factor of h and x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of 9\/56*c**8 + 0*c**5 - 13*c + 3\/2*c**4 + 0*c**7 + 0*c**2 + 0 + 0*c**3 + 0*c**6. Find the third derivative of b(z) wrt z.\nAnswer: 1080*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*((-8)\/3 - -2). Suppose 2*h = 4*h - u. Let n = -6764 - -6766. Calculate the least common multiple of n and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 8*i**2 + 10*i + 1. Let b be y(9). Let a(f) = f**3 + 0*f**2 + 4*f - 6*f**2 - 4*f**2 - 3*f. Calculate the remainder when 19 is divided by a(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.781 - -69127.\nAnswer: 69134.781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17378220.\nAnswer: 2, 3, 5, 289637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11742097, -23484192, -35226279, -46968358, -58710429?\nAnswer: -70452492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 775, 6255, 21123, 50071, 97791, 168975, 268315?\nAnswer: 400503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 i, 1 x, and 1 f when four letters picked without replacement from xwxfvivsf?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1360395 divided by 27.\nAnswer: -50385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1374, -1247, -1036, -741?\nAnswer: -362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 187731403*j**2 + 305094*j - 555 wrt j.\nAnswer: 375462806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 8*a - 16. Suppose 16*r - 20*r = -116. What is the lowest common multiple of 16\/(-28) - 4*r\/(-7) and l(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/476 and -29\/646610?\nAnswer: 153893180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001560281 to five decimal places.\nAnswer: -0.00156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 540922, 540921, 540920, 540919, 540918, 540917?\nAnswer: 540916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 8*q**2 + 2*q. Let n(a) = -a - 50. What is n(t(k))?\nAnswer: -8*k**2 - 2*k - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1442\/112 + -11 - 8415\/1800?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*c + v + 5, 3*c + 4*v = 21. Suppose 4*j = c*j + 7. Let s(y) = 6*y + 4 - 11*y + j*y. Give s(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234699179 a multiple of 1295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 100857 - 71369. Does 38 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/4016 and 17\/3412?\nAnswer: 3425648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of 0*i - 24*i**2 + 0*i**4 + 1\/5*i**5 + 0*i**3 + 0 + 13\/70*i**7 + 0*i**6. What is the third derivative of u(q) wrt q?\nAnswer: 936*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-5)*p)\/p*p**(-6))**2*(p**(-2\/5)*p*p**(-3\/7))\/((p**5*p)\/(((p\/(((p*(p\/p**(-5))\/p)\/p)\/p))\/p*p*p)\/p)) assuming p is positive.\nAnswer: p**(-309\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 1104232*w. Let l(y) = -y + 3. Calculate l(i(t)).\nAnswer: -1104232*t + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.19 in -1, 0.1, 5\/3, -3\/23, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*m - 2*m - 7*m to t + j*m and give j.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*o + 117761 + 112845 = 47789. Is 61 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9763 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: How many minutes are there between 11:21 PM and 4:36 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g. Let y(v) = 119*v + 3. Give y(j(p)).\nAnswer: 119*p + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-29)\/(-232)*3\/(-3))\/((-1)\/(-6))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**3\/7 - 10190540*u**2\/7 - 16*u\/7 + 40762160\/7 = 0. What is u?\nAnswer: -2, 2, 2547635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 303396254?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-five quarters of a centimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 5, 89, -19, -3587 in descending order.\nAnswer: 89, 5, 0, -5, -19, -3587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**5 - 167*z**4 + 1915*z**3 - 4621*z**2 + 2870*z = 0. What is z?\nAnswer: 0, 1, 2, 35\/3, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 13*i**2 + 18*i - 40. Let a be n(-11). Solve 0 = f - r - 1, 0 = -4*f - a*r - 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n**3 - 60*n**2 - 5*n + 4. Let q(a) = 2*a**3 - 30*a**2 - 2*a + 2. Give -2*f(g) + 5*q(g).\nAnswer: 2*g**3 - 30*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/((-448)\/(-712)) - (-10)\/(-35)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -3\/7, 0.4, -16, 1 in decreasing order.\nAnswer: 1, 0.4, 1\/6, -3\/7, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188*u + 19*u + 10 - 7 - u**2 - 3 + 45*u.\nAnswer: -u**2 + 252*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 7*o + 3. Let t be u(7). Suppose -2*k + k + 2 = 0. What is the third derivative of -8*x**2 - 2*x**3 + x**t + k*x**2 wrt x?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or 57\/4?\nAnswer: 57\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-14)\/(-5))\/(((-6903)\/(-195))\/(-177)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -118223*g**4 - 2*g + 79297?\nAnswer: -1418676*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 110792222.0000376 - 110792176. Let j = -46 + i. What is j rounded to six dps?\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3040843 + 5639157 = 0. What is w rounded to the nearest one hundred thousand?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 6*c + 16. Let u be w(-7). Solve l = -2*l - u for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuyyuyy. What is prob of picking 1 y and 2 u?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 + 13 = 16*u. Suppose 2*o + u*x + 16037 = 0, -x = -o - o - 16041. Round o to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*l = 32*l - 57*l. Suppose l*y + 5\/3*y**4 + 0*y**2 + 0*y**3 + 0 = 0. Calculate y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + x - 2)*(1 - x - 1) + 9 - 4 - 3*x**2 + x**2.\nAnswer: -3*x**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1260 = 5*g + 1265 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 5*l**2 - 3*l + 6. Let t be q(-4). Suppose t*o - 6 = -o. Factor 4\/3 + 2\/3*g - 2\/3*g**o.\nAnswer: -2*(g - 2)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10151*h**2 - 8630*h wrt h?\nAnswer: -20302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3242670819 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: Solve -236 = -2*g - 226 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (100\/(1900\/57))\/(30\/(-46))?\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 10*s**3)*((1 + s - 1)*(4 + 4 - 6) - 8*s + 15 - 15 + (2 - 3 + 2)*(2*s + 3*s - 3*s) + s - 2 + 2 + 3*s - 6*s + 4*s).\nAnswer: 20*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -174.67 and -0.05?\nAnswer: 8.7335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u - 12. Let b = -10 + 10. Suppose b = -0*z + 5*z + 5*w - 25, -2*z + 34 = -4*w. Let o(l) = l + 6. Let k(q) = z*o(q) + 4*s(q). Give k(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35868 divided by -5978\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (28 + 41 - 78) + 17 + 1\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -245*c**2 + 2535*c - 836. Determine l(10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 840.21783 and -1.997?\nAnswer: 842.21483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-13)\/(-1))\/((-3)\/(-22 - -4)). Suppose x - 4*x + t = -3*f, -112 = -4*x + 2*f. Does 15 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 3:02 AM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/24 and 162 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 + 21. Suppose -j*p + 2*p = -2540. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.25 - 6.25. Are g and 0.3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000029 rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 11:08 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = -2*m - 100. What is the common denominator of m\/799 - (-363)\/340 and -93\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 16256*d**2 - 3*d - 3. Let s(h) = h**2. Let u(a) = b(a) - s(a). Let w be u(3). Let n = w + -78283. Round n to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 125*m**4 - 900*m**3 + 960*m**2 - 368*m + 48 = 0?\nAnswer: 2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*g - 31222*g**3 - 4*g**2 + 3*g**2 + 31074*g**3 + 105*g.\nAnswer: -148*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - -10.8. Let x = -10 + t. Which is the second smallest value? (a) x (b) -0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/3 - (-50)\/15) + -2. Solve j + j + 10 = g*s, -2*j - 5*s = -22 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2898 divided by 483\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -262 + 268. Which is the closest to -1? (a) 1\/5 (b) l (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10 - 5ac3d?\nAnswer: -5ac4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (sqrt(13) - (sqrt(52)\/sqrt(4) + 2))) + sqrt(117)\/(sqrt(27)\/sqrt(3) + sqrt(9)))**2 + sqrt(52)\/(1*sqrt(100)) + -2 + 2.\nAnswer: 31*sqrt(13)\/5 + 133\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8\/9 (b) -0.2 (c) -135\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 700 is divided by (372 + -357)\/(5\/64).\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/(-96)*(-15)\/(585\/(-13))*3*8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.0334, -6\/13, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (70\/(-21))\/(4\/(-6)). Suppose i*o = -2*h - 219, 0 = -3*o + 5*o - 4*h + 102. Is 2\/(-15) + (-26601)\/o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3386839 weeks in nanoseconds?\nAnswer: 204836022720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 11 + 5)*(2*i**2 - 2*i**2 + i**3) + (-17*i**2 - 23*i**2 + 19*i**2)*(0*i - i + 0*i) as d + a*i + j*i**2 + k*i**3 and give k.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 3, -1121, 1, -1 in ascending order.\nAnswer: -1121, -11, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67 - -84. Find the third derivative of -51*k**3 + 19*k**3 + 15*k**2 + y*k**3 wrt k.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10053.4646 rounded to the nearest one hundred?\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 0*u - 6 + 1\/24*u**4 + 5\/2*u**2 - 5\/6*u**3. Let a(p) be the second derivative of k(p). Determine a(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -0.07 (c) 1\/4 (d) -1\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2457\/11466)\/((-24)\/98)?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.01, -3 in decreasing order.\nAnswer: 0.5, -0.01, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1086 + 1165.344. Let r = 80.7 - l. Round r to 2 dps.\nAnswer: 1.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 1)*30\/2. Let h(l) be the third derivative of l**4\/24 - l**3 - 16*l**2. Let y be h(9). Solve 0*o - y*o + d = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56508135?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1 + 17 + (0 - (1 + 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*f = -37*f + 64. Put f, 5, 1 in descending order.\nAnswer: f, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*c + 18, 4*c - 4*l = 17 + 11. Let j(x) = -2*x + 8. Let m be j(c). Suppose 3*y - 22 - 5 = 0. Solve -3*a + m*a = -y for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 3*h**2 + h**2)*(-1 - 2*h**2 + 1 + 2*h**2 + 2 - 2 + (2*h + 2 - 2)*(h - 5 + 5)).\nAnswer: 6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151 - 48*x**2 + 86 + 65 - 9*x.\nAnswer: -48*x**2 - 9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 2*y + y. Let k = y + 31. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4*i = 56, -l + 4*l + 2*i = 57. Let k be 102\/(-1)*(-2)\/2. What is the highest common factor of l and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -53 bigger than 151.564?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -433, -870, -1305, -1738, -2169?\n\"Answer: r**2 - 440*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -5*m + 6. Suppose -m = -2*h + 4. Find the second derivative of v**5 + h*v - 3*v + v wrt v.\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8473?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*n*q*t + 5*n*q - 15*n*t**2 - 2*n*t - 2*n + 696*q*t**2 + 165*q*t wrt t.\nAnswer: -30*n + 1392*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 1.7 (b) -74 (c) -1\/4 (d) -1\/6 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 62 = -20. Let f be u*-1*(-2)\/(-4). Does 1 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 42121212 and -0.2.\nAnswer: 42121211.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 157 (base 13) to base 16\nAnswer: f1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -176, -0.06, 2 in decreasing order.\nAnswer: 2, -0.06, -176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 8:32 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of 0*v**4 + 5*v + 5\/6*v**3 + 1\/14*v**7 + 0*v**6 + 0 + 0*v**5 + 0*v**2. What is the second derivative of p(y) wrt y?\nAnswer: 60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(2\/16)*(-1)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**3 + 3*c. Let s(f) = -5*f - 6*f**3 - 5*f**3 - 12*f. Suppose 3 - 27 = -4*o. Suppose o*w + 170 = w. Determine w*j(b) - 6*s(b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1+1.6013\nAnswer: 0.6013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 27*d**2 + 196*d + 4130. What are the prime factors of s(-25)?\nAnswer: 5, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-66) + (-68058)\/(-5643)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -68184 (base 9) to base 10.\nAnswer: -45355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -22, -28, -32, -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11921 is divided by 67?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99 = -6*m - 0*m - 123 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 97*q + 11169. Calculate c(-113).\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 209.5, 1\/5, 4755, 1 in descending order.\nAnswer: 4755, 209.5, 1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) 5\/307 (b) 4 (c) 0.18 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19055 = 7*x + 5363. List the prime factors of x.\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*l - 6. Suppose u - 4*o = -u + l, 2*u = -5*o + 47. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188141695 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9817?\nAnswer: 9817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oannnnnnnnnano. Give prob of picking 1 a and 1 o.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 9*t**2. Let u(j) = -22*j**2. What is u(v(d))?\nAnswer: -1782*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 10818?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 11*o - 8. Let z be i(14). Let w = 36 - z. What is the third derivative of 2*m**6 + 94 - 94 + 9*m**w wrt m?\nAnswer: 240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 4*m. Let d be v(-4). Let i be 35\/14 - 2\/(-4). Suppose -4*z = -3*j, 4*j = -i*z + 8*z. Solve d = -p - z*p + 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 8:44 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2375 - 2374.8. What is the closest to -2 in r, -8, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/(-20)*-2)\/43. Let s be (-4)\/12*-3 + -2. Which is smaller: s or x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 6:57 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -723 divided by -3?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100323321 (base 4) to base 10.\nAnswer: -69369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-7 + 5 - 2 - (-60 - -49)) + -71\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 590.6194 centimeters in micrometers?\nAnswer: 5906194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.00342 + -0.03342. Which is the smallest value? (a) u (b) -5\/3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 45*s + 58. Let l be p(46). Solve w - m + 2*m + 3 = 0, -4*w = -4*m + l for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -8*(-8)\/16 - (-677)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 6\/(-9)*-48. Suppose 3*l - w = -2*l + 89, -2 = -2*w. Let o = l + q. Is o a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 17. Calculate the remainder when (3 - -1 - 2)\/(1\/2) is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1227977934.\nAnswer: 2, 3, 204662989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 612.2 + -612. Let v = -11 - -13. What is the third biggest value in v, b, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1034 and 5753.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63\/1)\/(282672\/39260).\nAnswer: 35\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-26)\/39*(52 + 2 + -3). What is the closest to -2\/3 in 2, -1, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1444 + 1492. Let h = 53 - 29. What is the highest common factor of f and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128749843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -8*t**2 - 810*t + 88298. Calculate q(66).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -128 - -133. Let w be (-1 - 38\/(-10))\/(136\/1020). Solve -4*z + 5*a = w, z = -x*a - 0 + 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 307, -4, -56, 9 in increasing order.\nAnswer: -56, -4, 0, 9, 307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 173*w - 173*w + 124*w**2 to the form t*w**2 + q + d*w and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 1\/3 (c) 3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + q - 20 = 0. Let n = q - -96. Suppose -4*f + 0*m - 5*m = -91, -2*m = -2*f + 32. Calculate the greatest common factor of f and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 + 6)*(-6*y**5 + 5*y**5 - 5*y**5).\nAnswer: -54*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6971101, 6971102, 6971103?\n\"Answer: v + 6971100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.2166 + -2.2166. Which is the closest to t? (a) -0.3 (b) 0.4 (c) -5.5 (d) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 - 428296*n + 2998170.\nAnswer: -2*(n - 7)*(n + 214155)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 489292611*u**4 - 25510798*u wrt u?\nAnswer: 5871511332*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5459 (base 10) in base 5?\nAnswer: 133314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 15, t: 5}?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 6*s**5\/5 + 2*s**3 - 8. Find the third derivative of r(j) wrt j.\nAnswer: 144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -185748 and -1069.910068?\nAnswer: 184678.089932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(((-22)\/(-4))\/(7\/(504\/(-36))))\/1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 14800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 135 + -127. Differentiate -56 - 23*l**2 + h + 218 wrt l.\nAnswer: -46*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-129))\/(1077\/(-6462))\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 3 (b) 54 (c) 22\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1024400 (base 5) to base 4\nAnswer: 10101003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6737 - -9993. Calculate the greatest common divisor of d and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j**2 + 1. Let s be (-2)\/((0 - 0) + 2). What are the prime factors of y(s)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 13 + 0)*(43*o + 3*o**3 + 70 + 57 - 129).\nAnswer: 33*o**3 + 473*o - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-135)\/(-10) - (-3)\/(-2). Let m be x\/42 + (-24)\/(-14). Suppose 3*p - 50 = m*p. Calculate the greatest common factor of 20 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 10, -12, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*o - 16 + 91 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7438 divided by 13.\nAnswer: 7438\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 8, 0 = 3*f + 5*f - 7*f + 95*r - 762 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -17*l**3\/6 - l**2 - 20*l + 2. Let p(y) = 120*y + 15. Calculate 2*p(u) + 15*q(u).\nAnswer: -15*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 8:38 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 3\/2*t**2 - 173 + 24\/7*t - 1\/7*t**3. Factor m(h).\nAnswer: -3*(h - 8)*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55 + 61. Suppose -5*c = -3*c + g. Let t be (-3)\/1*20\/6. What is the smallest value in -0.3, t, c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 8*f + 21 = -3*t, 0 = 3*f - 3*t - 18. Solve -3*s = -3*q - 3, 5*q - 19 + 56 = -f*s for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 + (-1 - 5 - -8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 282483886 minus -0.29?\nAnswer: 282483886.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 47 + 580 + -618.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 71557 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -39 + 15 + -23 + 25.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 10*g - 4. Let x be t(2). Let k = 18 - x. Let m be (1 - (1 + -1))*k. Solve m = 3*v - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.807 + -0.387. Let s = -0.88 + 0.7. Let o = y - s. Round o to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -7. Suppose 0 = -v + l*v - 24. Solve -5*q + 2*q + 14 = -x, 2*x - 5*q = -v for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30*r**3*z**2 - 303*r**3*z + 3*r*z - 3*r - 156*z**2 wrt z?\nAnswer: 60*r**3 - 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/3, -4\/10901, 1.6.\nAnswer: -2\/3, -4\/10901, 0, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2 = s, 0 = -3*s + 3*g - 12. Suppose 0 = 2*i - 35 - 1. Is 3\/(i\/(-32))*s a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x + 4*x = 52. Let q be 0 + x - (-5 - -5). Solve 0 = -3*g + 2 + q for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000160618 to 6 decimal places.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w + 3. Let p be c(-5). Let u(q) be the first derivative of -q**2\/2 + 8*q + 1874. What is u(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*a - 6. Suppose 2*k = -8, -a*k + 6*k = -5*z + 1028. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.023357 to 3 dps.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7196043 divided by 5?\nAnswer: 7196043\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4649516744 to the power of 1\/2, to the nearest integer?\nAnswer: 68187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 260456 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 514aa6 (base 12) to base 9\nAnswer: 2350660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*f + 54. What is the second derivative of 146*g - 167*g + f*g**3 + 0*g**2 + 0*g**2 wrt g?\nAnswer: 150*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 47 = 5*x + 32, -2*x = -r + 29 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-2)*(-55)\/(-5940)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (161 + -11 + 8)\/(4\/(-6)). Let o = 369 + m. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 + 151 = -3*s + 5*o, -2*s + 2*o - 58 = 0. What are the prime factors of 15\/s - 5688\/(-30)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -1 + 1 - 6 + h. What is d(-5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10289 times 4\nAnswer: -41156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 682 is divided by 136.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9239 by -9239.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.087 and 7505?\nAnswer: 7504.913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3371356 and -1.\nAnswer: -3371356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 - 2*t**3 - t**2 + 288*t + 41*t.\nAnswer: -2*t**3 + 329*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*z**2 + 51*z - 51*z)*((-2*z**3 + 0*z**3 + z**3)*(28 - 78 + 35) + 0*z**2 + z**3 + 0*z**2).\nAnswer: 176*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -1 + 14*z - 9 + 10. Let n(t) = -3*t**2. What is n(f(k))?\nAnswer: -588*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 12101211202211001?\nAnswer: 12101211202211020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 18719613 from -72.8.\nAnswer: -18719685.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -8*j**3 - 3*j**2 - 4*j + 3. Let d be u(4). Let s = d - -610. Calculate the remainder when 53 is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/75? (a) -4 (b) -5\/2 (c) 1 (d) 25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 976.98934 to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-354)\/48 - (3\/(-9))\/((-16)\/(-336))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 a when two letters picked without replacement from {a: 2, o: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -c**4\/8 + 51*c**3\/2 - 29*c**2 - 6. Let b(y) = y. Calculate b(t(x)).\nAnswer: -3*x + 153","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((156\/12)\/(-13))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 65012058?\nAnswer: 325060290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2)*(-u**2 + 3*u**2 + u**2)*(21 + 34*u - 12*u - 18*u).\nAnswer: -24*u**3 - 126*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, y: 1, u: 11}. Give prob of sequence qu.\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 68 and 20?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5771.046 years in millennia?\nAnswer: 5.771046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -3. Let v = -0.7 - i. Let p = 0.8033 - -0.1967. What is the nearest to -0.2 in v, p, 0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 8*v - 8. Let l be u(-9). Is 4\/(-24)*l - 29498\/(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1940 - 307 = -3*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 188499 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18 - 16 - (-5 - -1). Solve o = -o - i for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 72 (b) 1.7 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 342?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/24*3)\/((-2)\/(20\/(-2))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15085*m + 12443?\nAnswer: -15085","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.7 - 8.8. Let r = -145\/298 - 2\/149. Which is the nearest to r? (a) 1\/2 (b) 0.2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 7. Suppose -2*w = -k + 12, 0 = -4*k + 3*w - 5*w + 58. Let t(s) = s**3 - 3*s**2 + 8*s + s - 5 + s + k*s**2. Let m be t(-10). Determine x(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*m = 95*m + 135*m - 1056 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.22252ml in litres?\nAnswer: 0.02922252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3052 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3296 (base 12) to base 16\nAnswer: -15d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*l - 9*l - l**3 - 5*l**2 + 24*l to the form h*l**3 + r*l + g*l**2 + i and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((6\/25)\/(-3))\/(170\/(-850)). Are j and -77.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2112) - ((sqrt(2112) - sqrt(2112)*1)*5 - sqrt(2112)) - -3*sqrt(2112)*-1)\/(1*(-2*sqrt(11)*6 + sqrt(11))*6).\nAnswer: 4*sqrt(3)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -18*d. Let l be t(1). Is -19 at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -46?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 131807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -15442 (base 10) to base 3\nAnswer: -210011221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4806 (base 9) to base 16\nAnswer: -df2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 3:52 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*s - 5*s = 14 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4140119 is divided by 524.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -12. Suppose -y*n - 4*k + 70 = 0, 3*k + 2*k + 75 = 4*n. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, 3\/2, -0.3, 5\/6, 5 in increasing order.\nAnswer: -0.3, 5\/6, 5\/4, 3\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/168 - (253\/132 + 7 + -9)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2820)\/(-1504)*(-1)\/(6\/(-80)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -11577*w**3 - 11*w + 3*w**2 + 11578*w**3 + 5*w**2 - 18 = 0.\nAnswer: -9, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 4*b**2 + 6*b - 7. Let u be z(-6). What is the greatest common divisor of 203 and u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m**3 + 5*m**3 - 3*m**4 + (2*m**4 - m**4 - 4*m**4)*(4 - 5 + 4) - 5*m**4 + m**4 + 2*m**4 + 1 - m**4 + 2*m**4 - 3*m**4.\nAnswer: -16*m**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 570 and 10827?\nAnswer: 2057130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 110665845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-138)\/4)\/(-7 + 4)*2. Suppose 13 = -2*k + w. Suppose 0 = 5*b - 16 - 24. Solve -k*t = -b*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -1427*l**7\/42 - 47*l**4\/12 + 5*l**3\/6 + l + 190. What is the third derivative of m(x) wrt x?\nAnswer: -85620*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 6 + 31 = 0. Let h = 4 + t. Let i be 5 + (1 - (-2)\/h). Put 5, 1, i in increasing order.\nAnswer: 1, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 4*s - 4, j + 6 = 2*s - 0*j. Let u be (-1)\/((3\/s)\/(-3)). What is the closest to -1 in 5, 4\/7, u?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/36 and 73\/88.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3085753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 615270991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + q + 2, 3*u + 10 = 6*u - 5*q. Let o = -3 - 1. What is the second biggest value in o, u, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3) + (-90)\/27 + (-94)\/(-24)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 36268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 8*l - 4. Let d = -34 + 42. Suppose d*v + 63 = -v. Let p be f(v). Calculate the highest common divisor of p and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 10. Let j(t) = 6*t**2 - 9*t - 2. Let m(h) = 11*h**2 - 19*h - 5. Let p(l) = c*m(l) + 5*j(l). What is the second derivative of p(v) wrt v?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -233052 divided by 58263\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-14 + 6 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven quarters of a week?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*(f*(f*(f**2\/f*f)\/f*f)\/f)\/f)\/f*f)**(-26))**(3\/8) assuming f is positive.\nAnswer: f**(-117\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 181929\/(-14025) + 14 + -1. Which is bigger: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 3:10 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 15+-1172110\nAnswer: -1172095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (-1 + -1*sqrt(304))*6 + -2 + 4)*1)**2 + 0.\nAnswer: 336*sqrt(19) + 10993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 24*q + 289. Give k(-13).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4\/25 - -22\/175. What is the nearest to -1 in -0.62, -2\/3, j?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*v - 113*v = -560. Let a = -7 + 462. Suppose 7*g - a = v. What are the prime factors of g?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**2 + 0*w**2 + 9*w - 3*w**2 + 16*w.\nAnswer: -7*w**2 + 25*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3.512*-938\nAnswer: 3294.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 169535, 336489, 503443?\nAnswer: 670397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -6, -2 in decreasing order.\nAnswer: 4, 1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -110791, -110792, -110793, -110794, -110795, -110796?\n\"Answer: -n - 110790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 49085964 or 0?\nAnswer: 49085964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.5283604t?\nAnswer: 528360400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((-4 - -1) + 3 + 7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n - 6. Let y be c(-8). Suppose i = y*i. Suppose i = 3*a - 156 + 57. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2 = 0, -57*t = -5*p - 61*t + 368. What is the greatest common factor of p and 2088?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w + 20. Let s be o(9). Suppose 26 - 6 = 5*j. Suppose 2*a = -j*n - 20, -n - s*a - a - 10 = 0. Sort 0, -2, n.\nAnswer: n, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3876 + 606 = -296*b - 3214 for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 270\/7 + 6\/(1 + -4). Let r = 14209\/378 - c. What is the common denominator of 133\/30 and r?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5*o = -m + 29, 4*o = -5*m + 57. Suppose -3*z + 2 + m = 0. Suppose 14*q + 86 = 57*q. Solve q*n + 0*x + 17 = 5*x, 7 = z*n + 4*x for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4018187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -299 - -989. Is i a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 151934, 303833, 455716, 607583?\nAnswer: 759434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -6 (b) 0.3 (c) -0.087 (d) 3 (e) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/78)\/(-6) + (356\/52 - 4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -184*h**3 + 169*h**2 + 2*h + 4. Let s(k) = 368*k**3 - 339*k**2 - 5*k - 10. Let l(g) = 15*j(g) + 6*s(g). Find the third derivative of l(z) wrt z.\nAnswer: -3312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r + 1. Let t = -247 + 252. Let v(x) be the first derivative of x**2 - 5*x - 1. Let g(f) = t*l(f) + v(f). Let z(y) = -2*y**2. What is g(z(a))?\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 867311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.489 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4853, -5006, -5161, -5318, -5477, -5638?\nAnswer: -5801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 8. Let d be (-140)\/234 - b\/(-52). What is the third biggest value in 5, -5, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -1.2, -4, 174\/5 in descending order.\nAnswer: 174\/5, 2, -1.2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 43 = -w. Let o be w\/11 + 4\/(-22). Suppose 0 = 6*l - l - o. What is the remainder when l is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*h + 8 = 0. Let p be h\/(-7) - 22\/(-70). What is the closest to -0.3 in p, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -5*w**3 - 12*w**2 + 37*w + 90. Give q(-7).\nAnswer: 958","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15677 bigger than 15678?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.8 plus -2059.1?\nAnswer: -2084.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m**2*n - m**2*q**2 + m**2*q + 5878*m*q**2 - 3*n**2*q**2 - 6132*n**2 wrt n.\nAnswer: -m**2 - 6*n*q**2 - 12264*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*j = -4. Suppose -j*m + 2 = -6. Suppose 18 = m*r - 2*r. Calculate the remainder when r is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 364 (base 13) to base 10.\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.10113 - -1.1. What is s rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 - -89 - (14 + 8).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 23389801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*m - 6 + 0 = 0, 2 = -2*h - 5*m. Let x = 17487739\/120471 + -70\/9267. Let o = -145 + x. What is the second biggest value in -2\/3, o, h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/4420 and 113\/2040?\nAnswer: 26520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*g - g + 0*g)*(4 - 1 - 1) + 423 - 56*g - 423)*(-2*g + 0*g + 0*g) to the form t*g**2 + n*g + k and give t.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 8*x - 3. Let k be q(-7). Suppose 0 = 6*l - 5*l - k. Suppose -3*y = -2*z - 5, l*y = -3*z + 17 + 1. Solve -5*i = -6*i - z for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 + 65\/2. Let b = 26.2 + -26.1. Sort b, -2\/3, r.\nAnswer: -2\/3, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1342, 1349, 1356, 1363, 1370?\n\"Answer: 7*g + 1335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 14 = -11*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(605) + -3 + -2 + (sqrt(20)*2 - (-2 + sqrt(180))))**2.\nAnswer: -72*sqrt(5) + 421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*x - 3*v, -38 = -7*x + 9*x - 5*v. Suppose 3*u - 63 = -3*h - 6, 0 = 5*h + 2*u - 110. Solve -5*s + h = -x for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3523*y**3 - 1618*y wrt y?\nAnswer: -21138*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y + 26 - 26.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3699149, 14796621, 33292415, 59186537, 92478993, 133169789?\n\"Answer: q**3 + 3699155*q**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k + 5. Let r be t(0). Suppose r*v - 36 = 24. Calculate the greatest common divisor of 132 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -89259840, -89259842, -89259844, -89259846, -89259848, -89259850?\n\"Answer: -2*d - 89259838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 2. Let c be (q\/(-9))\/(1\/4). What is the third smallest value in c, -2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.4? (a) -0.5 (b) 6348 (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-296)\/160*12\/212. Let m = l - 13\/53. Find the common denominator of 1*-2 - (-19)\/12 and m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 12*b + 19. Let r be t(-13). Let x be 5 - (0 - (-6)\/r). Let u be 16 + -6 + 2 + x. Solve 3*o - 2*n + 12 = 0, 4*o + 0*o + u = 4*n for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2703151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -1, 5 in decreasing order.\nAnswer: 5, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 368 = 7*r. Suppose 5*d = t - 15 + r, -5*t = 5. Suppose -2*z - 3615 = -d*z + 5*v, 2912 = 4*z + v. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((2*sqrt(1900))**2 - -4*(sqrt(19) + -2 + sqrt(19))**2).\nAnswer: -39600 + 160*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9433 + -84889\/9. Factor -14\/9*p - q*p**2 + 4\/9.\nAnswer: -2*(p + 2)*(4*p - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 400555550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/3*o**3 + 5 - 23\/3*o + 3*o**2 = 0.\nAnswer: 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4008, -3993, -3952, -3873, -3744, -3553, -3288?\n\"Answer: 2*o**3 + o**2 - 2*o - 4009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 4*n - 26. Calculate the remainder when -1 + (-1774)\/(-8) + 20*68\/5440 is divided by n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in -1, 2, -3\/20?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 43365\/16520*(-2 + (-139)\/(-27) - (0 - -3))\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3*t**2 + 3*t + 3. Calculate the remainder when m(-4) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 - 0) + (129 - 124) + -16.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -17*l + 26. Suppose -l*v + 7*f - 2*f + 536 = 0, -f = v - 254. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 s when two letters picked without replacement from sjllqqtllj.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**3 - 4984028*u**2 + 9968062*u - 4984032 = 0 for u.\nAnswer: -2492016, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2174650 and 17050.\nAnswer: 1550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -5*d, -14 = 2*i + 2*d + 2*d for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -71, 0.1, 0.033457, -3\/7 in decreasing order.\nAnswer: 0.1, 0.033457, -3\/7, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15603, 15607, 15599, 15573, 15523, 15443?\nAnswer: 15327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*u - 25*u + 17*u + 16*u + 17*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -384 - -393. What is the highest common factor of k and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 6*x**3 - 20. Let c(i) = i**3 + i - 3. Let q(v) = -5*c(v) + z(v). Let t(l) = -l**3 + 6*l + 6. What is 6*q(r) + 5*t(r)?\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8 + 5.8. What is the closest to 0 in y, 2\/7, 0.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -79 + 299. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g - 1. Let i be s(1). Suppose i*n - n + 2 = 0, 5*y + n - 428 = 0. Find the common denominator of (y\/(-15))\/(4\/6) and -29\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 4*t**2 - 4. Let v be g(3). Suppose -v*z + 448 = -192. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 11*b - 6. Let z(n) be the first derivative of -2*n**2 + 2*n + 7. Determine -3*m(h) - 8*z(h).\nAnswer: 3*h**2 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 10. Suppose 168 = x*w + 13. Is 15 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 0, -43, -1332, 2 in decreasing order.\nAnswer: 2, 0, -13, -43, -1332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*z**3\/4 - 19*z**2\/2 - 37*z\/4 + 5\/2.\nAnswer: (z - 5)*(z + 1)*(9*z - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -99373196*k**5 - 121083891*k wrt k.\nAnswer: -1987463920*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 265828417 to the nearest integer?\nAnswer: 16304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (0 + 0 - 2) - 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - b**2 + 1473. What are the prime factors of p(0)?\nAnswer: 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8587, -17984, -27381?\nAnswer: -36778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 + -44. Solve -8 = 2*w - 3*y, 2*y = -w + a*w + 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z. Let s(f) = -147*f. Calculate s(n(l)).\nAnswer: 441*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1917 divided by -639.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4954 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**3 - 45*p**2 - 201*p + 178. What is the tens digit of x(-38)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 192 + -200. What is the nearest to 2\/3 in s, -0.07, -3\/2?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.9 + 1. Let h be (2\/2*-1009)\/45. Let r = -111\/5 - h. Put j, r, -4 in descending order.\nAnswer: r, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of g**5\/60 - 7*g**4\/24 + 2*g**3 - 87*g**2. Determine j(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -16*z**2. Let k(o) = -1 - 1 + 236852*o - 236844*o + 7. Give v(k(q)).\nAnswer: -1024*q**2 - 1280*q - 400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3061 divided by -4\nAnswer: -3061\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-3)*(-3)\/(-34)*-1*(-2027)\/6081.\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 980 < -6.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-2)\/5)\/(14\/(-35)) and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19886*q + q**2 - 20235*q - 19890*q + 47*q**2 + 60011*q.\nAnswer: 48*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**2 + 54*j**2 + 342*j**2.\nAnswer: 399*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 742053?\nAnswer: 3, 13, 53, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 i, and 1 d when three letters picked without replacement from xxxhixxeihdxeiiiixix?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 16, -3\/5, -594617.7?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 3, 1\/6, 248\/3, -0.1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, 190, -0.5, 2\/11, 0.487?\nAnswer: 0.487","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1499*g + g**2 + 0 + 3*g**2 + 2*g**3 - 1498*g - 2 as b*g**2 + f + z*g**3 + x*g and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 3*o - 5. Let t be i(5). Suppose 0 = 2*c - 122 + 48. Suppose c = 2*n - t*f, 0 = f - 2*f - 1. Does 11 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 + -1 + 3 + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 3*r - 2, g - r + 2*r - 2 = 0. Suppose g*f = -3*f + 35. Solve 2 - f = 5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52585070.\nAnswer: 2, 5, 1559, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 506970584 to the power of 1\/2, to the nearest integer?\nAnswer: 22516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10989093?\nAnswer: 3, 3663031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/3))**(8\/13) assuming l is positive.\nAnswer: l**(-16\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-7) - 4\/(-14). Suppose m = -4*d + 3 + 5, 5*m - 4*d - 64 = r. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 714796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s + 6*s**2 - 5*s**2 + 3*s**2 + 0*s**2 - 3*s**2.\nAnswer: s**2 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -28\/43, -5, -0.087, -0.13?\nAnswer: -0.087","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*j - 179 + 270 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 117649 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 105276063 - 4?\nAnswer: 105276059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -128 - -132. Suppose -y*i - 15 = -i, -o + 38 = -3*i. Calculate the highest common divisor of 46 and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 182570 - -57?\nAnswer: 182637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 851, 344, -163, -670?\n\"Answer: -507*r + 1358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/1132 and -4 + 4990\/480 - (-4)\/(-12)?\nAnswer: 4528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -103 or 288?\nAnswer: 288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3052986053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 73489 divided by 5653?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 871918.\nAnswer: 2, 547, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-10) + 104*27\/135 - -10.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and 0.09810762.\nAnswer: -1.90189238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 20 = 2*f. Let u(i) = -11*i**2 + 5*i - 7. Let w(s) = 5*s**2 - 2*s + 3. Let c(q) = f*w(q) + 4*u(q). Determine c(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jqjjjjqqyqyyq. Give prob of sequence qyq.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 208020 to the nearest 1000.\nAnswer: 208000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -11. Let f be (-11 + 8)\/(2\/q). Suppose 0 = -f*j + 5*n + 6, -2*n - 18 = 3*j + n. Put 3, j, -4 in ascending order.\nAnswer: -4, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z**2 - 3*z + 35. Calculate d(4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13678632 divided by -4.\nAnswer: -3419658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -106 + 108. What is the second derivative of 4*f**4 - z*f**4 - 30*f**3 - 4 + 0*f - 5*f + f wrt f?\nAnswer: 24*f**2 - 180*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7865 + 15665. What is b rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*d + 6*d + 56. Let o(f) = f**3 - 29*f**2 + 29*f - 24. Let n be o(d). Suppose r - 21 = n. Solve 7*m = 2*m - r for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4270966 by 305069.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6524 and 82232690?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 6:53 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 8*p**2 + 33*p - 112. Calculate the lowest common multiple of 32 and h(4).\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -648*u + 7307 + 14180 + 61457 for u.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2222?\nAnswer: 2, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1141250989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -9*(-8 - (-510)\/63)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549858604 to the power of 1\/3, to the nearest integer?\nAnswer: 819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5018.604 micrometers?\nAnswer: 0.5018604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -m**6\/30 + 68*m**5\/25 - 543*m**4\/10 - 476*m**3\/3 - 245*m**2\/2 - 402. Find x such that y(x) = 0.\nAnswer: -1, 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39857.11 - 39653. Let o = -203 + v. What is o rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 4*q + 3*q + 2*q + 1 - 1 + 2*q - 4*q + q + (-3 + 3 + 2*q)*(-2 - 1 + 5) - 4*q - 3*q + 5*q)*((-4*q + 4*q - q)*(-2 + 5 + 1) - 2*q - 4*q + 4*q).\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 557 + -371. Suppose 5*q + 4*h = 2206, -3*h = 49*q + 345 - 21638. Calculate the highest common factor of q and w.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18\/5*m**4 + 234\/5*m**2 + 0*m - 2\/5*m**5 - 216\/5 + 2\/5*m**3 = 0. Calculate m.\nAnswer: -6, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 132651 = 5*q + 132664, -q = -4*z + 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 646.\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h**(-8\/3)*h)))**(-16\/11)*(h\/(((h\/h**15)\/h)\/h))\/(h*h**5\/h))**(1\/2) assuming h is positive.\nAnswer: h**(238\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - (-18 - (17 + -22))) + -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 513*r**5 + 8027436*r**4 + 31411496862*r**3 + 63533305416*r**2 + 32864227425*r + 734391948 = 0.\nAnswer: -7823, -1, -4\/171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 1445414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12050146 + 6?\nAnswer: -12050140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/14*3*14\/36?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1830 greater than or equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - z = 6, 20 = 2*i + 3*i - 5*z. Let a be 115 + ((-6)\/i)\/1. Calculate the greatest common divisor of 14 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 3*h - 5*d + 130 = 0, 0 = -d + 5. Let t = h - -25. Solve 16 = -t*a, 5*k - a = 6 - 2 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 9 - (1 - -2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -70, -119, -164, -205?\n\"Answer: 2*z**2 - 55*z - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 - -32. What is the tens digit of (1\/1 + 116\/(-6))*v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1296\/(-243))\/((-7)\/63*-6))\/((-1)\/9)\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 2:05 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2751283?\nAnswer: 23, 37, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*m + 207*m = -11*m + 3887 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4852892 divided by 5.\nAnswer: -4852892\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-5)*100\/160*-8. Let c = -2 + 9. Let b(s) = c - 1 - d + 2*s. Let n(r) = 8*r. Give b(n(g)).\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 11*k**2 + 30*k - 4. Let w be q(-3). Let u be 100\/(-350)*w\/(-2). Solve 1\/7*p**2 - 4\/7*p - u = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 3)*((-2 + 2 - a)*(1 + 2 + 1) - 13*a + 8*a - a + (2*a + 0*a - 3*a)*(-2 - 3 + 1) + 0*a + 0*a - 2*a).\nAnswer: 32*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*i**3 - 3 + 16*i**3 + i + 15*i**4 + 5*i**3 to the form a + z*i + g*i**2 + q*i**4 + y*i**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*i = -38 - 28 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*t**2 - 4*t**2 - 13*t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 10*m**2 + 5*m - 5. Calculate l(8).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 1 = -t - 4, -4*t + 4*j = -20. Find the first derivative of 0*v - 14*v + 2*v - t wrt v.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 3*q = -95 + 62, -7*u - 2*q = 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 1)*4*3\/(-9). Suppose 3*u - 4*t = -5 + 3, -2*t = 2*u - 8. Which is greater: w or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 17*l. Let b(a) be the third derivative of -a**4\/8 - 19*a**2. Determine m(b(j)).\nAnswer: -51*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-24)*(5 - 2) + 6. Solve w = n*g - 3*w - 17, 0 = -3*g - 4*w + 23 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -89, -116, -191, -338, -581?\n\"Answer: -4*l**3 + l - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4875 by 3.\nAnswer: 1625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - 0.3949.\nAnswer: 17.6051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**3 - 4*k**3 + 5*k**3 + (k - 1 + 1)*(-4*k**2 + 2*k**2 + 4*k**2) + (k + 3*k - 6*k)*(9*k - 9*k - 4*k**2) + (-3*k - 9*k - 7*k)*(11*k - 4*k**2 - 11*k).\nAnswer: 83*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 87 - 89. Let c = -215.5 + 216. Put 3, u, c, -0.2 in ascending order.\nAnswer: u, -0.2, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1417 - 1215 + 141*t - 2388*t + 17 wrt t?\nAnswer: -2247","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/3 or -13.9?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 1 = 2*c, 2*j + 2*c - 12 = 0. Suppose 3*x = j*n - 9, 5*x + 2*n - 3 = -32. Let q be (-24)\/x + 6\/30. Put 0, -3, q in decreasing order.\nAnswer: q, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 289 + 547. Let c = -683 + j. List the prime factors of c.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**7*c)\/(c\/(c\/(c\/((c\/(((c*c\/c**(2\/17))\/c)\/c))\/c))))*(c**(4\/5))**3 assuming c is positive.\nAnswer: c**(809\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7441.863 kilograms to micrograms.\nAnswer: 7441863000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22698 and 981058?\nAnswer: 2522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - 5*y - 42, 4*h + 14*y = 15*y + 47 + 3 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*x - 724 + 724.\nAnswer: -26*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -8*a**2 + 71*a - 108. Determine z(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -20. What is the nearest to z in 5, 2\/3, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 5*f + 22, 4*o - 2*f + 2 = o. Suppose 4 = -y + o*y - w, 5*w + 12 = 4*y. Calculate the remainder when y is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*o = -48828, -5*v + 3*o - o = -61036. Is v a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 0)\/(1*2). Let u = 1055\/7 + -151. Which is smaller: x or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-20)\/(-4))\/(1 + 0). Suppose -3*z = -l + 3 + 10, k*l = -5*z - 35. Is (l\/(-2) - 2)*-11 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7460173 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 88, 290, 626, 1096?\n\"Answer: 67*d**2 + d + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2031*q + 1. Let r be w(-1). Let b be (6\/4)\/((-8)\/r). Let y = -14319 + b. What is y rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 358670.\nAnswer: 2, 5, 13, 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 885337 to the power of 1\/3, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*x + 47*x + 5*b - 42 = 0, -5*x + b - 90 = 0 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -o**3\/3 - o**2\/2 + 4*o + 1. Let y be s(0). Solve -y*u + u = f + 6, 2*f + 6 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1520, -96, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**7\/1050 - 23*a**6\/600 - a**5\/300 + 23*a**4\/120 - 4*a**2 + 92. Let b(c) = 0. What is c?\nAnswer: -1, 0, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 48957903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 802.899s in minutes?\nAnswer: 13.38165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-54)\/(-11) + 610\/55 + -11. What is the units digit of (u - 96)*-9 - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2154483593 to the power of 1\/3, to the nearest integer?\nAnswer: 1292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296 is divided by 101?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 2\/9, 17, 5, -4, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(2\/2)*79\/(3713\/141).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 24 - 4, 5*p - 2*d = -20 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 + 75. Suppose 0 = -5*o - 3*v + 35, o + 4*o - v - k = 0. Calculate the greatest common divisor of o and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -535*i**2 + 678*i**2 + 3*i**3 + 471*i - 142*i**2 in the form u*i**2 + s*i + t*i**3 + q and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 d when two letters picked without replacement from {y: 1, m: 1, d: 1, e: 2, u: 1, g: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255 = -30*o + 293 + 82 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -11*1 - (-9 + 5). Let n = z + 19. What is the units digit of ((-189)\/n)\/((-9)\/48)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568099960 to the power of 1\/2, to the nearest integer?\nAnswer: 23835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (343\/(-735) + (-12)\/(-40))*(-1 - 1). What is the closest to p in 3, -2\/21, 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130615149?\nAnswer: 3, 7, 379, 16411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s**3 - 3*s**2 - 8*s - 12. Let r be c(-2). Let x = r + -21. Solve 5 = -2*p + 3*q, -x*p - 2*q - 22 = 2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 0)*(h - 2 + 2) + 1273 - 160*h - 1273 + (2*h - 3*h + 2*h)*(0 + 4 - 2).\nAnswer: -157*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 2*w + 5, 2*w - 2 + 9 = 3*y. Let z be 18*(y - 1 - -3). Suppose -4*q + 4 = 0, 2*q = 5*m - 70 - z. Solve -5*n - a = 3*a - 5, m = -n + 3*a for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1776\/74*1\/((-2)\/1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32002 + -13215. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a century in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 95*n**2 - 7052*n - 585. What is h(144)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000298 to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-2*(((-5 + sqrt(192)*4)*-5 + 3)*-1)**2.\nAnswer: -71680*sqrt(3) + 620672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) 16 (b) 0.226 (c) 3\/2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 643, -90.\nAnswer: -90, -4, 643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t + 9*t = 5*t. Which is the closest to -1\/12? (a) -0.5 (b) t (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -904, -1816, -2734, -3658, -4588, -5524?\n\"Answer: -3*s**2 - 903*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -108887\/13 + 8376. Sort 1, x, 22 in ascending order.\nAnswer: x, 1, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21680 + 24980 = -60*b for b.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 6 = 4*t + 2, -t = -4*s - 7. Which is the nearest to t? (a) 2\/11 (b) 2\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1284 and 27178?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 1 + 1)*(-21 + 21 + 10*y) + (4*y + 0*y - 3*y)*(4*y - 6*y + 8*y) + 19 - 19 + 4*y**2 + 0*y + 0*y + 2*y**2 + (-2*y + 0 + 0)*(-1 - y + 1).\nAnswer: 34*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -661708315*l**4 - 605354582*l**2 wrt l.\nAnswer: -15880999560*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/85 - 56\/(-476). Let m be (-2)\/(-5)*1\/(-2). Let k = 0.13 - 3.13. Which is the nearest to m? (a) k (b) 2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 5. Suppose l*q = 2*q. Suppose q*z = z - 8. Does 4 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -4\/21*o**3 + 72 - 124\/7*o + 64\/7*o**2. Factor q(u).\nAnswer: -4*(u - 31)*(u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -306*t + 303*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 300, 1\/4, 3.1, 3, -3, 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1845788, 0.5, -8, -5, 3, -1\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/560 and 61\/210.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -4\/23, 0.02, 5 in increasing order.\nAnswer: -4\/23, 0.02, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 4*n**5\/5 - 8*n**4\/3 - 20*n**3\/9 + 4*n**2 + 13. Let u(g) = 0. What is g?\nAnswer: -1, 0, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6461829.35058 + -6461897. Let t = 0.65602 + c. Let z = t + 67. Round z to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**5 + 73953*v**4 + 295776*v**3 + 295764*v**2.\nAnswer: 3*v**2*(v + 2)**2*(v + 24647)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 130405699 to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 6. Let m = 51\/2 - 25. Which is the closest to m? (a) 1\/3 (b) q (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9155 + -9150. Solve -h - 4*f + 5 = -6*h, 5*h = f - u for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 13 = 4*u + 4, 12 = -3*u + 3*z for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 6*a**2 - 2*a + 10. Let k be q(6). Put 5, k, -5, 2 in decreasing order.\nAnswer: 5, 2, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04364 rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*p - 3*p - p)*(8 + 2*p**3 - 8) - p - 51*p**4 + 93*p**4 - 2*p**2 - 44*p**4.\nAnswer: -28*p**4 - 2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*z = 12 + 6, -5*z = 0. Let t be (-20)\/u*(-24)\/(-16). Solve n = t - 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 41, 56, 69?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1222 + 101112?\nAnswer: 22120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1418 = 12*r + 3970. Let w = -416 - r. Solve 4*l + 12 = 2*v, 2*v + w = -l - 4*l for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -286 + 298. Solve -2*g = -2*p + t, 0*p - 8 = 2*g + 2*p for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.9 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 7*o + 38. Let i be j(-6). Let z be i\/14 + 30\/56. Let y = 0.1 + -1.1. What is the closest to z in 3\/4, y, 5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-200)\/96)*(-30)\/12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -265767 + -4?\nAnswer: -265773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 25\/2 of a centimeter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-8)*x**2*x**6*(x**(-3)\/x)\/x)\/(x**(3\/7)*x\/x**(-1\/2))**(-12\/11) assuming x is positive.\nAnswer: x**(-223\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1040413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 4)*(2*y - 2*y - 2*y**2) + 10*y - 5*y**2 - 10*y.\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1380696 divided by -460232\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13368161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 722*z**2 + 519*z**2 + 508*z**2 - 323*z**2 + 1546*z wrt z?\nAnswer: 2852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(39)\/sqrt(27))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194*m**2 + 191*m**2 - 576*m**2 + 12*m**3 + 191*m**2.\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 77, 143, 199, 239, 257, 247?\n\"Answer: -p**3 + p**2 + 70*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 - 1)*(-3584)\/480. Which is greater: -37 or u?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 24*j**2 - 198*j + 7. What is y(8)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -19*c + 83. Is b(-15) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -558997*q + 2235978. Give c(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 3:56 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-900)\/(-8280)*4\/(-5).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f + 6*f = 10063. What are the prime factors of f?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17243783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*d - 34. Let m = 9 - d. Solve -n + 1 = -2*x - 1, m = 5*x + n for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 5*f**2 - 5*f. Let i be z(-4). Suppose 5*c + 125 = 4*w, i*w - 75 = -c - 4*c. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-2)*(1 - -1). Let h(w) = -w**3 + 19*w**2 + 5*w - 26. Let l be h(19). Suppose 0*s + l = -23*s. Sort s, v, -5 in descending order.\nAnswer: v, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 n when three letters picked without replacement from {j: 1, l: 1, e: 2, n: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p - 1. Let f(y) = 22*y + 13. Let a(b) = 15*b + 9. Let j(n) = -7*a(n) + 5*f(n). Give 5*j(c) + 8*v(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62 + (-47 + -23 - 17)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22660280633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zszz when four letters picked without replacement from {z: 5, q: 5, s: 2, m: 7}.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 6:39 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 6*d**2 - 10*d - 7. Suppose -4*b + 9*b = -55. Let y(w) = w**2 + 10*w - 18. Let c be y(b). Determine l(c).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -336*p**2*r**2 + 45*p**2*r - 139*p**2 - p*r - 20*r**2 wrt r?\nAnswer: -672*p**2 - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380313*x + 61 = 380309*x + 3*o, 0 = -9*x + 3*o - 126 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 795791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10153 + -1565993890?\nAnswer: -1566004043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36967160 and 190?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 886 - 910. Is c\/(-16)*838 - (4 - 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/5 <= -2\/13905?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1874921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -152\/77 - 5625\/154. Let y = 995\/18 - 589\/9. Calculate the common denominator of x and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3276*f + 1075*f + 1087*f - 1335*f to the form g*f + u and give g.\nAnswer: 4103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 843*d - 100 = 841*d. Let v be 1 + 8 - 410\/d. Factor 45*k**2 + v - 12*k.\nAnswer: (15*k - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4 - 3 + v**2 - v + 2*v. Let z be b(5). Suppose -2*y + 5*s + 105 = -y, 3*s = 6. What is the greatest common factor of z and y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4452044.\nAnswer: 2, 1113011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -22507a?\nAnswer: -225079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(42) + sqrt(4200) + sqrt(4200)*1)\/(sqrt(7) - -1*sqrt(343)))\/((sqrt(30) - -2*sqrt(270))\/(-6*2*sqrt(10))))**2.\nAnswer: 81\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + q + 6. Let s be a(-5). Let x be s\/(-14)*(12 - -2). Let y be (5\/2)\/5*16. Calculate the highest common divisor of y and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 85 + 2*x**3 + 2*x - 4*x + 4*x**3 - 83. Suppose -26*g + 46 + 6 = 0. Let t(c) = c**3 - c + 1. What is g*b(r) - 4*t(r)?\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.14 + 1. Let a = -0.64 - b. What is the nearest to -1 in a, -2\/3, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11291745 is divided by 11291482?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/(7\/1)*(-33 + 35)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**2. Let i(x) = 7776*x**2 + 405*x. Let p(c) = -77*c**2 - 4*c. Let d(v) = -4*i(v) - 405*p(v). Determine d(g(r)).\nAnswer: 324*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.09, -1, -2.7, 2, 21\/4, 4\/3?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-120)*4*2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1249 - 1255. Let o = -1.17 - -1. Let v = o - -0.15. Which is the second biggest value? (a) v (b) f (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 1 - 2)*(4 - 3 - 4)*(5 - 7 - 5)*(6*l + 0*l - 4*l) + (-2 + 0 + 0)*(-l - l + 3*l) - 7*l + 41 - 41)*(l - 4 + 4) as i + u*l**2 + o*l and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-6)\/(-4))\/(31\/2170)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51557 divided by 104\nAnswer: 51557\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 658*a - 4666. Calculate h(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 557, 553, 549?\nAnswer: 545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*x = 615. Let p = x - -324. Suppose 2*b - 5*b = -2*y - 161, -2*b - y + p = 0. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 15 = -x + 96, -2*o + 33 = x. Differentiate 73*i**4 + 2440*i**3 - 2440*i**3 + 304 + o*i**4 wrt i.\nAnswer: 356*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 4:11 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -457065700 rounded to the nearest 1000000?\nAnswer: -457000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 3*z + 4*z + 17, c - 3 = -z. What is the derivative of -7 + 19*u + 3*u - c - 17 wrt u?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (11 - 6) + (0 - 0). Let i(d) = -d**2 + 7*d - 7. Let v be i(w). Find the third derivative of -2*r**4 + r**4 - r**4 - v*r**2 wrt r.\nAnswer: -48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 30\/2 + -3 + 1. Suppose -4*n = j - o, 4*n + n - 5 = -5*j. Calculate the least common multiple of (-27)\/(-2) + (-3)\/(-6) and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i + 7. Let o be s(4). Suppose -o*q = 2*q. Suppose 2*f = -3*y + 14 + 4, -f - 4*y = -14. Solve q = a + 2*a - f for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6180 or 6179?\nAnswer: 6179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 2*z + 2. Let w(l) = l**2 + 3*l - 3. Give -3*n(x) - 2*w(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8826149l to millilitres.\nAnswer: 882.6149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 531 + -279. Suppose -15*u - n = -1032. What is the remainder when u is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, t: 3, e: 1, f: 2, w: 1, h: 3}. What is prob of picking 2 t and 1 w?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 11:05 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -f**8\/168 + f**7\/210 + 13*f**6\/120 - f**5\/12 + f**4\/4 + 3*f**3\/2 - 205*f**2 - 15. Find the third derivative of w(s) wrt s.\nAnswer: -120*s**2 + 24*s + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 21, 0.4, 0.425, -1211?\nAnswer: 0.425","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*p**4 + 2*p**3 - 7010*p**2 - 67*p + 2425?\nAnswer: 108*p**2 + 12*p - 14020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -270 by -90.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1977\/148 + -4\/37. Is a at most 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 11*w + 55. Let i be 3 - ((-30)\/(-24) - (-2)\/(-8)). Suppose -x + i*y + 6 = 0, 4*x + 3*y + y - 48 = 0. Is 7 a factor of r(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 144007 = 5*c + 28278, -172249 = -5*p - c. List the prime factors of p.\nAnswer: 47, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 12*j**2 + 788*j + 3415. What is x(-61)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*3\/9)\/((-30)\/(-90)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2 = 3*u. Suppose -15*n = -1351 - 376 - 253. Calculate the least common multiple of u and n.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10110142144 + 5?\nAnswer: 10110142153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 4:01 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 11*c - 21. Give v(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -512*l**2*q + 224*l*q + 62*l + 250515821*q with respect to l.\nAnswer: -1024*l*q + 224*q + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.026037 + 43.968037. Let p = -0.058 - o. Let f = 44.000066 + p. What is f rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 26000410.5\nAnswer: 7800123.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 686.3482 and -0.2?\nAnswer: 686.5482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003670273 rounded to seven dps?\nAnswer: -0.0000367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/2 + 327*z**2\/2 + 35643*z\/2 + 1295029\/2.\nAnswer: (z + 109)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 17 = 137. Let u = -10 - b. Calculate the remainder when 146 is divided by u.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39491376 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i + 3*n, 5*i = 3*i - i + 4*n for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z + 23*z**3 - 5*z**3 - 3*z**4 + 2 - 16*z**3 - 8*z - 2*z**2 to the form s*z + j*z**3 + c*z**2 + i*z**4 + b and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 27\/4 of a kilometer?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 375 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 113.5 + -113.5. Which is greater: -80\/9 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -22 in descending order.\nAnswer: 1, -1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f + 1. Let k(d) = 5*d - d - 1448 + 0*d + 1455. Give -5*a(n) + k(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9248 divided by -1?\nAnswer: 9248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 9*u = 148, 5*u + 160983 - 160905 = -y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 - 47 = 9*w. Let h be 4\/w + ((-512)\/(-24))\/16. Let a(s) = -s**2 + 2*s - 3. What is a(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 466173685 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/75*-5*1.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) 0.65 (c) 7 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4984 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-6)*-1*12\/(-33).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/909049 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-2592)\/(-810) - (-386)\/(-130)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4245 = -29*h + 26*h. What are the prime factors of h?\nAnswer: 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*w - 100 = 110. Put -1, w, -19, -2 in increasing order.\nAnswer: -19, w, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -932 or 209?\nAnswer: -932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*f + 5 - 4 - 3 - 2 to r*f + g and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -17\/4 (b) -0.3 (c) -1\/6 (d) 1\/4 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11111101 (base 2) in base 8?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -307000451*n - 146766051.\nAnswer: -307000451","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 87444 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0205 - -3.2285. Let b = z - 0.208. What is the third smallest value in b, 1, -0.05?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 7:55 AM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -11777 times 5.5\nAnswer: -64773.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/1*2\/22.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*c**5 + 256710*c**4 - 1045714080*c**3 + 1418184853440*c**2 + 5283180768000*c - 1625226023424 = 0 for c.\nAnswer: -4, 2\/7, 4076","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -9*a**2. Let v(s) = -352*s**2. Calculate v(y(k)).\nAnswer: -28512*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(102\/50 + -2). Let o = 29 + p. Calculate the remainder when o is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 524\/11 - 60\/(-165)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w - 63871 = -32*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5465 - -0.52. Round z to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qhl when three letters picked without replacement from {q: 3, n: 1, l: 1, h: 5, o: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*g + 4*k, -5*g + 2*g - 12 = k for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004815 rounded to six decimal places?\nAnswer: 0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of 29\/6*r**3 - 37\/60*r**6 + 0 + 0*r - 1\/30*r**5 + 0*r**4 - 31*r**2. What is the third derivative of f(i) wrt i?\nAnswer: -444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 43940176837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 702 a factor of 100544652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3*-1*sqrt(864)*-5)\/(2*sqrt(48) + sqrt(3) - -5*sqrt(12)\/sqrt(4)).\nAnswer: 90*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 103 + -4?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3412*m + 2522*m**4 + 3544*m - 288 - 2526*m**4 + 148*m**2 + 12*m**3 = 0 for m.\nAnswer: -3, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 5*f - 10, q - 40 = 5*q - 3*f. Let w be (-6)\/q - 1752\/20. List the prime factors of 2 + w\/((-9)\/3).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105205 (base 6) in base 16?\nAnswer: 22e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, j: 3, x: 2, e: 2}. Give prob of picking 2 x.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 17 = 4*s + 6*h, h + 2 = -s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 33*o + 561. Let i be h(-17). Solve -3*b + 3*b + 4*b = i for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**5\/5 - 5*j**4\/3 - 2*j**3\/3 + 10*j**2 - 5*j. Factor m(h).\nAnswer: 4*(h - 5)*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 i when two letters picked without replacement from nyyyi.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(225) + sqrt(25))\/sqrt(5) + -6*(sqrt(5) - -3*sqrt(5))**2 + ((-2*sqrt(135))\/sqrt(3))\/(sqrt(225) + sqrt(225)*-2)).\nAnswer: -66*sqrt(5)\/5 + 1440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -444 + 2119 = 5*h. List the prime factors of h.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.07 and 30.2668589737?\nAnswer: 30.1968589737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-16276)\/572 + 7 - -22\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-12\/13)\/i)**(14\/11)*(i\/(i\/(i*(((i**25\/i*i)\/i*i)\/i)\/i)))\/i**(8\/11) assuming i is positive.\nAnswer: i**(3160\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**3 + 4*w**2 - 3. Let f(b) = b - b + 0*b**3 - 6*b**3 + 1. Let o be f(-1). Let c(k) = -5*k**3 + 9*k**2 - 7. Give o*j(z) - 3*c(z).\nAnswer: z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 25 = 5*t, -2*b = -5*t + 15 + 10. Suppose 19 - 4 = t*x + 3*r, 5*r = 0. Find w, given that 2\/5*w**2 + 0*w + 6\/5*w**x - 6\/5*w**5 - 2\/5*w**4 + 0 = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(91) + (sqrt(91) - -1*sqrt(91)))*3 - sqrt(91)))\/(sqrt(7) + (sqrt(14)\/sqrt(2) + sqrt(7))*1 - sqrt(140)\/sqrt(5)).\nAnswer: -24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.28 + -0.22. What is m rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**4 + 130*y**3 + 755*y**2 + 630*y.\nAnswer: 5*y*(y + 1)*(y + 7)*(y + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 5*y = -50, 0 = 4*y + y - 10. Suppose 0 = -9*b + 17*b - 184. Let n = b + x. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d - 49. List the prime factors of h(17).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -1 + 10*y - 11*y + 1. Let f(z) = -40*z**3 + 35*z. Let i(l) = 14*l**3 - 12*l. Let a(w) = 6*f(w) + 17*i(w). Calculate a(u) + 5*q(u).\nAnswer: -2*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uubuuuuuuuuuu. Give prob of picking 2 u.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 - 1896*g**2 - 3783*g - 1890.\nAnswer: -3*(g + 1)**2*(g + 630)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -28*z + 4*z - 93 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*c - 34*c + 40 = 0. Let d = 20 - 15. Let o(m) = -14*m + d*m + m + 5 + 4*m. Give o(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-48)\/(-21))*161\/5083*13?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1158627.\nAnswer: 3, 467, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-40)\/70 - (-18)\/7. Let c be (-132)\/(k - 4)*3. Suppose -4*j + 4*d = -30 - c, -179 = -3*j - d. Does 14 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 331 divide 70298092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*w - 87*w + 143 = -25 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3465*v**4 - 794*v**2 + 2*v - 2?\nAnswer: -83160*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 5*f**2 + 18*f - 24. Let v be m(7). Suppose 13*o - 1105 = -v*o. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2*a - a + 37 = 0, 3*c - 5*a - 29 = 0. What is the remainder when 740\/c - ((-7)\/(-2) + -4) is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 11:20 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6343 - -2086849\/329. Put -0.2, -5, y in decreasing order.\nAnswer: y, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/556, 0.07, 8 in decreasing order.\nAnswer: 8, 0.07, -7\/556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j + 4. Let x be k(10). Let v be 1\/(x\/6 - 2). Let m(y) = 3*y + 2. What is the remainder when 19 is divided by m(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 8)*30\/8 + 156400\/9200?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1.557858?\nAnswer: 0.557858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1930914 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9945 by -13596.\nAnswer: 3315\/4532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(320)*-1)**2 + sqrt(720) + 4 + (-2*(0 + sqrt(5) - sqrt(5)) - sqrt(5) - sqrt(405)\/sqrt(9) - (sqrt(500) + 1*sqrt(500) + 4))**2.\nAnswer: 284*sqrt(5) + 3245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -31. Suppose 0 = -v + 5 + j. Solve 8*c - 3*c = v for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j + j - 26*j**2 - 2*j to the form x + t*j + w*j**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 415720 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1150744 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 4, -0.3, -2\/9 in increasing order.\nAnswer: -0.3, -2\/9, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.7 - 8. Let h = -0.5 - t. Which is the second smallest value? (a) -5 (b) 0 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - (-45 + 12)) + -2 + -24 + -50\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7ae94 (base 16) to base 9.\nAnswer: 846532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - -2) + 11 + 2. Let h = 16 - i. Suppose -2 = h*q - 27. Solve 0 = -4*a - 4*g + 4 + 16, g - q = -4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/4 + 3\/12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -193 - 28623. Let i = v - -65901. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -863\/5562?\nAnswer: -863\/5562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*z = -26*z + 29*z. Solve 0 = 5*n + 3*w - 19, n + 4*w - 18 + 4 = z for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 2*v - 8, 2*z - 3*v + v - 14 = 0. Suppose t = -z*p + 26, -t - p + 49 = t. Is 7 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 45*f - 249. Give m(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(400)\/sqrt(10) - (-3*sqrt(120) + sqrt(120))\/sqrt(3))\/(2*((sqrt(648)*1*5 - sqrt(648)) + sqrt(648))).\nAnswer: sqrt(5)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of 527*g**2\/2 - 1579*g + 690. What is the derivative of n(o) wrt o?\nAnswer: 527","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**3 - 97*y**2 + 154*y + 165. Determine f(-50).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24320, 24317, 24304, 24275, 24224, 24145?\nAnswer: 24032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 divided by -10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 4*t + 2*c + 1, 0 = -3*t - c - 4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 1 - 198\/(-6). Is 9 a factor of (k\/(-8))\/((-5)\/20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 1:00 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 11) to base 7\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 892.\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-546)\/(-52))\/((-28)\/(-16)))\/(6\/(-4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1536922296 and 1330?\nAnswer: 1536923626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26659870747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5*z**3 - 45*z**2 + 15*z + 9. Let b(w) = -w**3 + 9*w**2 - 3*w - 2. Let f(t) = -11*b(t) - 2*d(t). Calculate the remainder when f(9) is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 1693980.\nAnswer: 18633780","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: 22165\/1092 - 9 - (-21)\/588\nAnswer: 34\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 + -10. Suppose c + 10 = -3*q. Let j be 6\/8 + (-51)\/q. Which is greater: 21\/5 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**2. Let d(n) = n**2. Let k(r) = 3*d(r) + q(r). Let c(u) = -47*u. What is k(c(t))?\nAnswer: 2209*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (1\/5)\/((44\/8)\/(-11))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 7939 = 2*a, 5*g - 20*a + 19*a = 13220. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 5*k + 38. Suppose 5*w - 3*y = -0*y + 57, -k = -2*w + 5*y. Let z = w + 5. 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 first derivative of y**4 + 78920*y**3 + 10*y**2 + 82445493 wrt y?\nAnswer: 4*y**3 + 236760*y**2 + 20*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 5*n**2 + 2*n - 5. Determine c(7).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1\/3)*k*k*k\/((k\/k**(-18))\/k))**(21\/2) assuming k is positive.\nAnswer: k**(-301\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -w**6\/75 - w**5\/50 + w**4\/10 + w**3\/3 + 2*w**2\/5 - 40*w + 55. Let x(g) be the first derivative of l(g). Factor x(a).\nAnswer: -2*(a - 2)*(a + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5594 - -5550) + (1 + 110 - 1)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -1. Let w(v) = v + 11. Let l(u) = 22*t(u) + 2*w(u). Let p(x) = 4 + 7*x**2 - 4. What is l(p(f))?\nAnswer: 14*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -439 (base 11) in base 14?\nAnswer: -298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 17 and 30 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*p - 6*p + 1258 - 6*p**2 - 1268 + 3 - 3 - p**2 + (5*p - 5*p + p)*(-5*p + 3*p + p).\nAnswer: -8*p**2 + p - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61174\/483 - -380\/3. Let o = 67\/161 + z. Is o equal to -3\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1362204?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + 26 + (3 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 307698, 1230798, 2769292, 4923174, 7692438, 11077078?\n\"Answer: -k**3 + 307703*k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 - -23. Find the common denominator of -25\/8 and -3 - 3\/w*-2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -10 + 8 + 9*n**2 + 1 - 196*n**2. Let f(t) = t**2. What is l(f(h))?\nAnswer: -187*h**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -46 divided by 229\nAnswer: -46\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + sqrt(48))*-3.\nAnswer: -48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 56. Let v = 162 - q. Let l = v + -84. Calculate the highest common factor of l and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-57)*(-303)\/(-1818).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((-1 - -6) + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 5*l - j, -11 + 8 = 3*j. Let -13\/3*g**3 + l*g**4 + 2\/3*g - 5\/3*g**2 - 12*g**5 + 0 = 0. What is g?\nAnswer: -1\/3, 0, 1\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -6.28. Let x = 21.42 - 21.22. Which is the biggest value? (a) 3\/8 (b) x (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.114 + 7.614. Which is the second smallest value? (a) -2.2 (b) -8 (c) -3 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 112125?\nAnswer: 112122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/(-8)*(-3 - -1). Suppose 0 = -4*j + 3*v + 4 + 20, 0 = -5*j - 3*v + 3. What is the first derivative of p + j + 7*s - 11 wrt s?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 20*i**3 - 4*i - 325. Let a(h) = 79*h**3 - 18*h - 1291. Give 2*a(c) - 9*g(c).\nAnswer: -22*c**3 + 343","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -113*c + 7683. Determine k(68).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -97288 or -96774?\nAnswer: -97288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*i = -68. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 3 = -3*n + 4*n, -4*n + 701 = 3*m - 3*n + 716 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/580 and -22\/25265?\nAnswer: 2930740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*h**2 + 1137*h - 1137*h.\nAnswer: 17*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 - 15. Let l = 9 + -6. Suppose -5*f - l*m + 495 = 0, 4*m = -2*f - f + 297. What is the greatest common factor of f and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 6:55 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -14.1046 and 0.215108464.\nAnswer: -13.889491536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -7*b - 4*y + 96, 0 = 3*b + y - 52. Let a = b - 18. Let s = 6 - 5. Sort a, s, 8 in decreasing order.\nAnswer: 8, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 2326 - 824 = -38*p, 4*p = -2160*t + 2162*t - 148 for p.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3149 and 118.29.\nAnswer: -37.249521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/1423160 and -74\/91260135.\nAnswer: 730081080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 8:00 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(0*f + 147*f + 68*f + (-4*f + 2*f + 0*f)*(-6 + 2 + 2) - f - f + 8*f).\nAnswer: -225*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - i - 25 = 0. Suppose i*d - 4*p - 3 = -0, 4*d = p + 9. Solve 5*h = -d*m - 5, 2*h - 18 = 4*m + 3*h for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1141462.\nAnswer: 2, 7, 81533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -434 + 851. What are the prime factors of d?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 3\/5, 3, 2\/37?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1984 and 8?\nAnswer: 1984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 571 is divided by 46.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*t**3 - 3340*t**2 - 10307*t - 1104 = 0. What is t?\nAnswer: -368, -3, -1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a day in minutes?\nAnswer: 7488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/sqrt(81) - sqrt(22)\/sqrt(2)*-5) + -2*(-5 + (sqrt(44)\/sqrt(4))**2 + sqrt(11)).\nAnswer: -12 + 10*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -9*j**7\/14 - 3*j**6\/10 + 69*j**5\/20 - 13*j**4\/4 + j**3 - 4*j. Solve x(a) = 0.\nAnswer: -2, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 60\/13, -0.2, 1\/3, 2, 0.17 in decreasing order.\nAnswer: 60\/13, 2, 1\/3, 0.17, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 + -35.035. Let z = -0.965 + b. What is the closest to 4\/3 in -2, -6, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.33055 less than -33177.9?\nAnswer: -33190.23055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1021036959?\nAnswer: 3, 29, 929, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1655119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1383 equal to -1389?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.720776ng in kilograms?\nAnswer: 0.000000000002720776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.52686 millennia to years.\nAnswer: 6526.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 45 = -3*k + k, 2*y = k - 30. Let s be (-516)\/y - 1 - 4\/10. Let o = 52 - s. Calculate the remainder when 73 is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2653 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 5 + 0 - 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5 + -0.3. Suppose -3*r + 8 = -10. Let y be 5\/r*(-12)\/(-30). Which is the nearest to y? (a) 1\/7 (b) q (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000 * -10.06\nAnswer: -10060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -l**5\/10 + l**4\/2 - l**3 + l**2 - l\/2 - 7. Factor k(y).\nAnswer: -(y - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7913 - 134515\/17. Let x be 1\/(-3) - (-58)\/102. Solve -14\/17*l**4 + x*l + m*l**3 + 14\/17*l**2 - 10\/17*l**5 + 0 = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 265.3 times 3611\nAnswer: 957998.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 19044, 38099, 57152, 76203?\n\"Answer: -o**2 + 19058*o - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 + -21. Let u be 0 - (-6 + 1) - 1. Suppose 0 = -2*p - 7*o + 6*o + 9, -p = -o - 12. Solve 4*c - p = 2*i - 23, -u*i - 3*c = n for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 85, 44, 18, 2 in descending order.\nAnswer: 85, 44, 18, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -7*s**4\/6 + 42*s**2. Let y(m) = -2*m**2. Determine f(y(o)).\nAnswer: 56*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 122132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 249 + 191. Let j = 454 - l. Solve 0 = -7*k + 35 - j for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 4*a + 16, -2*h - 321 = -a - 295. Sort 29, 1, h, -3, 2 in descending order.\nAnswer: 29, 2, 1, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -220*v**4 + 266*v wrt v?\nAnswer: -2640*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n**3 + 5*n. Let w(r) = 2*r**3 + 2*r. Let u = -26 - -27. Let y(z) = -3*z - 3*z**2 + 5*z**2 - 1 + 4*z. Let b be y(u). Calculate b*k(q) - 5*w(q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114145?\nAnswer: 5, 37, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**5*g*g*g\/(g\/(g\/(g**(-6)\/g))*g)*(g**0*g)**(4\/7))\/((g**(1\/4)*g\/((g**8\/g)\/g))\/(g**1)**(-37)) assuming g is positive.\nAnswer: g**(-495\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 400 and 196?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**3 + 2*q**3 + 6*q**3 + 9*q**3.\nAnswer: 11*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59359 = 28*o - 162063. Differentiate 27 - 88*a**2 - 3668*a + o*a wrt a.\nAnswer: -176*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1092347 nanograms in micrograms?\nAnswer: 0.0001092347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 20?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6710*g**3*k + g**2*k + 1229*g*k + 2*g + 12 wrt g.\nAnswer: -40260*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 186922 - 2018479. Let m = -4231557 - o. Round m to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1538, -2065, -2592, -3119?\n\"Answer: -527*h - 1011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (44\/(-4) - (3 + (-3 - 0)))*-23 is divided by 25?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -8*k**2 - 12*k - 11. Let u(f) = -9*f**2 - 15*f - 12. Calculate -7*i(g) + 6*u(g).\nAnswer: 2*g**2 - 6*g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (126\/(-33) - -4)*(-3)\/6\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 t when three letters picked without replacement from qwwqtlqqlqq?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/2136 and -97\/22?\nAnswer: 23496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vy when two letters picked without replacement from {i: 1, y: 5, v: 1, m: 2}?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.7 - -1.6. What is the nearest to 0 in -2, -2\/17, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5151 and 25755?\nAnswer: 25755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29874 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*g**2*l + 2*g**2*n**2 - 2*g**2 + 9889*g*l + 2536*l*n**2 wrt n?\nAnswer: 4*g**2*n + 5072*l*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/(-5))\/((-2)\/(-10)). Suppose -74*l = 52*l - 75*l - 255. Solve 4*h = 7*h + l*s - t, -s = -3*h - 9 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 395726.\nAnswer: 2, 17, 103, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5158.818 millilitres?\nAnswer: 5.158818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 925991.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-4) + -29 + (-99663)\/(-956)\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2945855225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/(-5) + (-22 - 1356\/(-60)).\nAnswer: 38\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2803 + -42016\/15. Calculate the common denominator of m and (23\/(-207))\/(11\/(-275)).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-168091)\/(-531) - (-8)\/18. Let b = d + -313. Find a such that -2\/5*a**b + 2\/5*a**3 - 16\/5 - 8\/5*a + 12\/5*a**2 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of w**5\/60 - w**4\/8 - w**3\/2 + w**2. Give v(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 933.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2144 and 5.\nAnswer: 1.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 642 divide 72292410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of h**2\/2 - 24*h + 17. Let d be v(24). Let q(s) = 246*s + s**2 - 4 - 251*s + d. Give q(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*q**2 - 17*q**2 - 4*q**4 + (-3 + 2*q + 3)*(-5*q + 2*q**3 + 5*q) + 1 - 5*q**4 - 1 + (q**3 + q - q)*(-4*q + 6*q - 4*q).\nAnswer: -7*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + 3)\/((-2)\/(-1)). Suppose 2*z - 2*q - 1 = -z, h*q + 9 = -5*z. What are the prime factors of z + (-1)\/1 + 30?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of 0*s**2 + 0 - 5\/6*s**3 - 9*s. Let c(r) be the first derivative of -r**2\/2 - 1. What is f(c(a))?\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 16*1.52\nAnswer: 24.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*i, i - 7 = -2*t + 2*i. Let d = 4 - 3. Suppose -d = a - 26. Solve -2*f + 20 = 3*f - 4*u, -t*u - a = -2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 24 = -36. Let l = b - -8. Let d(g) = -g**3 - 2 - 5*g**2 + 4*g + 3*g**2 - 2*g**2 - 6*g. Determine d(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00045519138 to five dps.\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m + 10 = -32*i + 36*i, 4*m + 37 = -5*i for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15217361 to the power of 1\/2, to the nearest integer?\nAnswer: 3901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -626, -2584, -5854, -10442, -16354, -23596?\nAnswer: -32174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5*c = 1982774, -60*c = -5*q - 59*c + 2478499. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1152895 to 4 dps.\nAnswer: 0.1153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1070002511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -5*s**3 + 238*s**2 - 2407*s - 62. Determine w(33).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 886*m - 888*m + 8 = 0. Solve -x = -3*c + 13, -m*x = x + 5*c + 5 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15638359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 8:30 PM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q - 4. Let x be a(-1). Let c be x\/(7 + -3)*(-2)\/4. Solve -2\/5*m**2 + 0 + 1\/5*m**3 + c*m = 0 for m.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 4\/9 + 4\/9*f**2 + 8\/9*f = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*s + 89*s - 193072516 = 0. Suppose 16*f = 25171871 + s. Round f to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 6*g + 20. Let v be i(6). Suppose 4*k - 20 = v. Solve -5*l + 5 = -k for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 3*d - 10, 0*d = -v + d + 10. Suppose -30 = -v*f + 2*f. Suppose 0 = w + j - 3*j - 23, 77 = 3*w + 2*j. Solve -5*s + f*s = w for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 498780 by -16626.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2538 + -17769\/7. What is the closest to 0 in k, -5, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 883 and 107?\nAnswer: 94481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a = -16*a - 22. List the prime factors of a.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 + -0.1. Let q be -2 - (-5)\/((-10)\/(-24)). Suppose -5*w - 3 = 2*s, 7*s = 5*w + 2*s + q. Which is the closest to -1? (a) 5 (b) l (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 3*r - 21, 0 = 3*r - 7*r + 4*y + 4. Suppose 7 = -3*x + 2*o - 0*o, 0 = 4*o + r. List the prime factors of (6\/5)\/(x\/(-15)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 10 - 66. Let a(s) = -2*s**3 + 29*s**2 - 14*s + 8. Let r be a(z). Solve -r*c = -c - 0*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 827*u. Let s(f) = 208033*f. Calculate s(k(p)).\nAnswer: 172043291*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 134 and 4288?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2969461039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 26*a**2 - 9*a - 48. What is the units digit of t(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16606 - -797. Let l = r - 11403. Round l to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 57*z - 64*z + 273. Solve -z*b = -45*b + 24 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-2) - 0\/(-20))\/((231\/6)\/(-7))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3*c + 30 = 0, -k = k - 5*c - 31. Let a = k + 13. Solve 4*v + p - a = 0, -4*v + 40 = -5*p - 0*p for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.00925*3\nAnswer: 0.02775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/24 (b) -632 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of q**5\/135 + q**4\/27 + 2*q**3\/27 + 12*q**2. Factor z(u).\nAnswer: 4*(u + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/17 and -5\/83?\nAnswer: 1411","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1555 - 13997\/9. What is the nearest to 0.1 in m, -2, -25, -1\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -73\/5, -19\/10, 0, -0.2.\nAnswer: -73\/5, -19\/10, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 334681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 2*s. Solve s = -10*o + 5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84871039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 528980 or 528983?\nAnswer: 528980","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5818061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - -4*10\/4. Let j = -15 - w. Let b = j - -33. What is the highest common factor of 30 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c\/c**3)\/c*c**7)**(-16)\/((c*c\/c**7)\/c**(-2\/7))**(-1\/13) assuming c is positive.\nAnswer: c**(-7313\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 8*y**2 - 10. Let h be r(8). Let o be ((-6)\/(-4))\/((-3)\/h). Suppose 3*l - 139 = -2*x, 3*l + 2*l + o*x = 230. Is l 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 248050 and 4114?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 212220 (base 3) to base 15\nAnswer: 2d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2896.077 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -28. Let u(r) = -r + 2. Let j(z) = 4*u(z) + y(z). What is j(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n + 64659 + 10*n + 64662 - 129321.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**3 + 19*v - 14*v + v**3 + 2 - 11*v**3 as u*v**2 + n*v + q*v**3 + i and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**2*z**2 + 1279320*f*z**2 - 75484*z**2 wrt f.\nAnswer: -4*f*z**2 + 1279320*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 242 divide 149798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -29*g**2 - 2. What is c(-2)?\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*g + 220 = 0. Suppose h + 2 = g. What is the remainder when h is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of k**5\/20 + k**4\/4 - k**3\/6 + 3*k**2\/2 - 2*k. What is the units digit of u(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10397, -21042, -32025, -43514, -55677?\n\"Answer: -28*f**3 - f**2 - 10446*f + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 5*z**2 - z - 1. Let w(g) = -g**2 - g - 1. Give r(a) - w(a).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2795.70083 rounded to the nearest one hundred?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -201*b - 153*b + 37*b + 28*b - 336*b in the form a + j*b and give j.\nAnswer: -625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -1\/3 (c) 25 (d) -0.5 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, z: 6, i: 7, u: 5}. What is prob of sequence uzzi?\nAnswer: 175\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 23951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 - 31108*z**2 - 2004856*z + 2035968.\nAnswer: -4*(z - 1)*(z + 66)*(z + 7712)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2\/165, -6220, 116 in ascending order.\nAnswer: -6220, 2\/165, 2, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 6*i. Let w be (185\/(-20))\/((-2)\/8). Suppose -11 = 2*o - 3*o + 4*l, 3*o + 2*l = -w. Let p = -14 - o. Determine f(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -956*o**5\/5 - 447*o**2\/2 - 1116. What is the second derivative of b(q) wrt q?\nAnswer: -11472*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(432))**2 + 1.\nAnswer: 48*sqrt(3) + 437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -139 - -83. Let m = f - -32. Let z = -22 - m. Is 6 != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*a**4 - 3*a**3 - 148*a wrt a?\nAnswer: -120*a**2 - 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 128868837 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-9)*(-2)\/19*(284 + (-169587)\/594).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -y**2\/2 + 3*y + 1. Let v be t(5). Let o(l) = 6*l**2 + 79*l + 10. Let j be o(-13). Put j, 2, v in decreasing order.\nAnswer: 2, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216*l + 220*l - 620*l - 5 - 2 + 182*l.\nAnswer: -2*l - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 3*h - 15, h + 2*h + 2*m - 6 = 0. Let i be 6\/((-2)\/(-11) - h). Let u = 36 + -14. What is the greatest common factor of i and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7 - ((-2)\/(-6) - 26\/(-39)). Suppose 4*s - 34 = h. Calculate the remainder when s is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36773048 divided by -4?\nAnswer: 9193262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 4:24 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -0*o - 5*o. Suppose -5*r + 0*m = m - o, -2*r = -m - 10. Suppose -r*y = -0*y - 447. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x**3 + 4*x**3 + 0*x**3 - 2*x - 12*x**2 - 42*x**2.\nAnswer: 12*x**3 - 54*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/4)\/((-9471)\/492).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3969 = 8*o + 88*o + 51*o for o.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 63.47694 to 0 decimal places.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 16894928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -305 + 10*m**2 - 5*m**3 + 373 - 74 + 12*m**3 + (2*m + m - m)*(m**2 - 3*m**2 + 4*m**2) in the form c*m**2 + i*m + l + r*m**3 and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 25. Let u be t\/20 - (-24)\/10. What is the units digit of 6\/(-9)*(u - 72)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**2 + 53*w + 3. Give b(27).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h\/(h**(2\/15)\/h))*h**(3\/5)*h*(h**26\/h)**(-39) assuming h is positive.\nAnswer: h**(-14614\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 21 and -0.061.\nAnswer: 20.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65\/7 + -318\/35. Factor 2\/5*b**3 + 0 - f*b**2 - 1\/5*b**4 + 0*b.\nAnswer: -b**2*(b - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(4\/15))\/g)\/((g\/((g\/(g*g*g\/(g**(-21)\/g)*g))\/g))\/g*g*g))**(2\/81) assuming g is positive.\nAnswer: g**(-832\/1215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1221*a + 1223*a + 31 + 3 = 0 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 203, 442, 713, 1028, 1399, 1838, 2357, 2968?\n\"Answer: 2*j**3 + 4*j**2 + 213*j - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-21)*7\/(-12). Which is the second biggest value? (a) -0.2 (b) o (c) -56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 470745841 to the nearest integer?\nAnswer: 21697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6421.2 rounded to the nearest 10?\nAnswer: -6420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -30*u**2 + 13*u + 96. Let v(w) = -89*w**2 + 38*w + 272. Let g(h) = 17*d(h) - 6*v(h). Let n(z) = 3*z**2. Give g(n(b)).\nAnswer: 216*b**4 - 21*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 357119?\nAnswer: 7, 17, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 8*u**2 - 112*u + 19. What is a(10)?\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -312 - -1879\/6. Let c(t) be the second derivative of w*t**3 - 1\/20*t**5 + 0 + 1\/2*t**4 + 2*t**2 - 5*t. Determine c(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -479, 67, 93.\nAnswer: -479, 67, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -7. Let f be (o + -4)\/((-3)\/9). Factor -f*i**3 - i**5 - 2*i**5 - 2*i**4 - 7*i**4.\nAnswer: -3*i**3*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 38 - (-37 + (39 - 16))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r - 4. Suppose 0*i = i - 3. Suppose 0 = b - 0*b + i. Is k(b) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1086161354.\nAnswer: 2, 543080677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - c**2. Let z(d) = -3*d**3 - 3*d**2 + 2*d + 7. Let w(t) = -5*v(t) - z(t). Let x be w(3). Calculate the highest common factor of 1 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -178 not equal to -379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(12)*3*-5 - sqrt(12))\/(sqrt(64) + 3*sqrt(64)).\nAnswer: -4 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16506882 - 16506865.999982. Let k = -16 + f. Round k to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8397132*c - 2272 = 8397100*c for c.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1947282 is divided by 186?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 46*l. Let g be t(1). Suppose -5*r - 11 + g = 0. Let k be 1 - (70\/12)\/r. Put 4\/5, 0.5, k in descending order.\nAnswer: 4\/5, 0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 395 - -3?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 103 + -159. Is -56 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -0.2 (c) -16\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 648873884 by -1659524.\nAnswer: -391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2977387 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1546 - 11.2246. Let x = r - -11. Let y = x - -0.0700012. What is y rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -855?\nAnswer: -859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2*z - 2)*(-8 + 12 - 6 - 120*z) in the form g + u*z**2 + t*z and give u.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 29*f**6\/6 - 3*f**2 + 2*f - 5. Find the second derivative of i(c) wrt c.\nAnswer: 580*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 953 - 574. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -q + m + 11, -11 = 2*q + 3*m. Let l(f) = 4*f**2 + f + 1. Let u be l(q). Suppose -5 = -2*b + 5. Solve -b + 17 = -u*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11676 divided by -13.\nAnswer: -11676\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 53158*j - 318988. Give h(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -5*r**3 - 1175*r**2 + 7185*r - 10845 = 0.\nAnswer: -241, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19080 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 1 = -o, 4*o + 14 = -c + 2*c for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-1) + 335\/690*-2. Which is bigger: z or -3\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05 and 4.614.\nAnswer: -0.2307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 3*a - 2. Let t be j(-2). Suppose 4*n + 5*w - 28 - 19 = t, -2*n = -4*w - 30. Solve 3 = -4*p - n for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 59, 70, 83, 98, 115?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 171, 2, 6.9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + a)*(-a - 2*a + a) + 0*a + 0*a + a**2 + (-4*a + 9*a + 22*a)*(2*a - 4*a + 3*a) + 2*a**2 + 0*a**2 - a**2 + (-2*a + 5*a - a)*(-3*a + 0*a + 4*a).\nAnswer: 29*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uug?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16d (base 16) to base 14.\nAnswer: 1c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43849 - 34103 = -84*b. Calculate the highest common factor of 208 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cuuucmccuuciiuhh. What is prob of picking 1 i, 1 m, and 2 h?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-20)\/7)\/((-375)\/8400). Solve 0 = -25*n + 17*n - g for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*u + 8 = 4*g, -4*g + 4 = 3*u. Let s(z) = -2*z - 1. Let o be s(g). Find the third derivative of -6 + 6 + o*j**2 - 4*j**5 wrt j.\nAnswer: -240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46 and 120313.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 - 1.5. Let o = 82 + -579\/7. Is m greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1607, -7945, -18521, -33335, -52387, -75677, -103205?\nAnswer: -134971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, y: 1, f: 1, p: 5, k: 2, q: 2}. What is prob of picking 2 w and 1 p?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of z**2 - 83433. Let x(o) = 50*o - 130*o - 249*o. Give x(y(n)).\nAnswer: -658*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**2 - 5*q + q + 2*q - q + 3 as h*q + t*q**2 + d and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5*c**2 + 1506*c - 20430. Calculate b(13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -184 - -197.7. Let y = -1.07 - -14.77. Let c = y - g. Is c less than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 9*x + 6. Let y be l(6). Let j be (y\/(-8) + -2)*0. Suppose j*u = 5*u - 50. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1100000010100100101 (base 2) to base 15\nAnswer: 7bd73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9, -5, -3, -3, -5, -9, -15?\n\"Answer: -a**2 + 7*a - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168177838.\nAnswer: 2, 17, 73, 67759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 878807?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -128*n**3*w**3 - 9*n**3 - 18*n**2*w**3 - 1777*n**2 wrt w.\nAnswer: -384*n**3*w**2 - 54*n**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 4*d + 3*d + 10, 10 = -3*x - d. Let p be (-12)\/x - 12\/30. Let f be 2\/(-3)*(12 + -15). Solve 3*s + 1 = -q - 5, -s - p*q = f for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -398, -798, -1192, -1580?\n\"Answer: 3*y**2 - 409*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, o: 6, n: 5}. Give prob of picking 3 n.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47\/93 + 5\/31. Which is the nearest to s? (a) -3 (b) 0.16 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3312 is divided by 573.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2465 - -2477) + 13 + (-2 - -1).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p - 16, b = 2*b - 2*p + 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.23172 and -15.31.\nAnswer: -15.07828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -168, -236, -304?\n\"Answer: -68*c - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20.6 and 12.31.\nAnswer: -253.586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14329 = 699*h + 25121 - 12888 for h.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 18 = f, -4*h + 4*f = h + 12. Let b be (-14)\/h - 3\/(-6). Let s be (2*-3)\/((-12)\/8). Solve b*l = s*y - 4, 0 - 5 = -5*y - 4*l for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -2 (c) -0.4 (d) -0.021089 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/8 of a millennium?\nAnswer: 19500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 (base 16) in base 5?\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -11, -2, -14 in descending order.\nAnswer: 1, -2, -11, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4509 is divided by 500?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5089, 20512, 46277, 82390, 128857, 185684, 252877?\n\"Answer: h**3 + 5165*h**2 - 79*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 444895.4 nanoseconds in milliseconds?\nAnswer: 0.4448954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 5*i - 2*z, 3*i + 497*z - 501*z - 8 = 0 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 4\/9 (c) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a milligram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1169259 - 2345341 + 1176082 - 6*b**2.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*j + 4*v, 3*j + 2*v - 8 = 10. Let c(h) = -h**3 - 13*h**2 - 12*h + 16. What is the least common multiple of j and c(-12)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 156.1078 to 1 dp.\nAnswer: 156.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -50655 and -101309\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**2 - 3*x + 0*x**2 + 5*x + (52 + 3 - 10)*(-x + 2 - 2)*(18*x + 8*x - 12*x) in the form f*x + w*x**2 + o and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 175 - 1227\/7. Which is the nearest to -2\/3? (a) s (b) 1\/9 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2\/2 + 211*s - 44521\/6.\nAnswer: -(3*s - 211)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/90 and 153\/48070?\nAnswer: 432630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 6*g - 48. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjplzlj. Give prob of sequence jjp.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w - 107. Let f be i(30). Solve 67 = -f*m + 15 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -142*t**2 + 84076*t - 7104. What is x(592)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (9 - (11 - (7 - 5)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -5\/11?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*x + 0*x + 4*x - 2*x - 4 + 4 + (3*x - 3*x - 2*x)*(0 - 1 + 2) - 2*x + 1 - 1 + 3*x + 0*x - 6*x + (4 - 3 + 1)*(1 - 1 + x) to k + q*x and give q.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.28053ng in micrograms?\nAnswer: 0.03528053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 - 16. Let y = l - 14. Suppose 120 = 3*j - 0*j. What is the highest common factor of y and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1974 - -1baa8?\nAnswer: 2074c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l - 10. Let x(o) = -o + 8. Let u(p) = 4*q(p) + 5*x(p). Let f = -3 + 5. Let t(s) = -s**2 + 4*s - 2. Let v be t(f). Determine u(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*x = -68*x - 2. Sort 0, x, -76 in descending order.\nAnswer: 0, x, -76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 304*q**3 - 5074*q**2 + 23981753*q?\nAnswer: 1824*q - 10148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -4) + -3 + 6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21372628.34 + 21373578.339561. Let s = 961.13 + -11.13. Let u = g - s. What is u rounded to five decimal places?\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 + -1)\/4 - 0 - -9. What is the common denominator of -5 - ((-167)\/4)\/(15\/b) and -35\/62?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 11*y - y**3 + 7*y**2 - 6 + 5*y**2 - 4*y**2. Calculate the remainder when 34 is divided by a(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 296.22249 minutes to hours.\nAnswer: 4.9370415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 228*h**3. What is c(1)?\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = 5*w + 7*q - 16, -12 = -5*w + 4*q. Determine b so that -93*b**2 - b**5 + 30*b + 46*b**2 + 12*b**4 + 3*b**w + 3*b**3 = 0.\nAnswer: -2, 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -157544*i**2 + 51*i - 365. Let a be f(15). What is a rounded to the nearest 100000?\nAnswer: -35400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 130022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20332 (base 4) in base 13?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r - 2. Let z be (-6)\/10 + (-115)\/(-25). Suppose 3 = -3*d + z*d. Let t = -1 + d. Give g(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 861, 3378, 8393, 16740?\nAnswer: 29253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -88*h + 41169 + 23599. Calculate the remainder when h is divided by 74.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 2:35 PM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -16, 5, -4 in descending order.\nAnswer: 5, -1\/2, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 b, and 1 t when four letters picked without replacement from ttttbjbtbkbkkttb?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 138.76l to millilitres.\nAnswer: 138760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-412)\/12 + (-6)\/9 and 20\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = m - 1. Let y be m - 0 - (-5 + -1). Which is the smallest value? (a) 2 (b) -1\/4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 - 76. Let o = a - -71. Suppose -5*l - 6*d + 2*d = -o, l - 4*d = 4. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8739*s + 1 - 936*s - 1.\nAnswer: 7803*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -34 in ascending order.\nAnswer: -34, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 + -67 + (8 - (-2 + 2)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11, 21, 31, 41, 51, 61?\n\"Answer: 10*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -0.21, 4, -0.5, -2\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -3*r. Suppose r = -4*f - 8 + 64. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81165373.6 rounded to the nearest one thousand?\nAnswer: -81165000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*p**3 - 84912*p**2 - 2452356*p - 17755192 = 0. Calculate p.\nAnswer: -5278, -29\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 1. Let a(d) = 2*d - 7. Let f(b) = a(b) + 2*o(b). Suppose 5*p = 5*p + p. Suppose -13*n + 15*n + 10 = p. What is f(n)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 7:33 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8*3*3\/(-6). Suppose -2*b = -5*b + d. Suppose -b*c - 1 = -61. Calculate the remainder when 43 is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/417941 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**3 - h + 2. Let o(x) = 3*x**3 + 7*x - 7 - x**3 - 5*x + 4. What is -2*o(s) - 3*q(s)?\nAnswer: 2*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(17) + sqrt(272))*3 - (-1 + sqrt(17))*-5) + ((1 + sqrt(425)*-1 - sqrt(425)) + sqrt(425))**2)*5.\nAnswer: 50*sqrt(17) + 2105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3260046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3\/718 + 2139\/3590. Let n + 0*y - 3\/5*y**2 = 0. Calculate y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*a - a - a)*(2*a**2 - 3*a**2 + 7*a**2) + (7*a**2 + 13 - 13)*(-2*a - 5*a + a))*(3 + 8 - 5).\nAnswer: -324*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -199 divided by -5501\nAnswer: 199\/5501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 2*q + 3359 = 3423, 2*a + 8*q - 184 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s. Let m(r) be the first derivative of -3*r + 3*r - r**2 + 14 - 11. Calculate m(u(t)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 less than -0.9101633?\nAnswer: 59.0898367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-279)\/(-2))\/((-4)\/24). Let y be (0 - -3)\/((-9)\/(-12)). Is (n + -2)*(-4 - (1 - y)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -x**3 - 326*x**2 + 12*x + 86?\nAnswer: -6*x - 652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 10) in base 12?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 11:09 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 t when four letters picked without replacement from {w: 6, p: 2, t: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.81 * 22.9.\nAnswer: 247.549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 3 - 3)*(3*p**3 + 0*p**3 - p**3) + 9*p**3 - 10*p**2 + 10*p**2 - 2*p**3 + 16 + 1641*p**2 - 1641*p**2)*(1 + 1 + 0).\nAnswer: 10*p**3 + 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -104, -398, -896, -1604, -2528?\n\"Answer: -j**3 - 96*j**2 + j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/28 - -1) + 2*(-27)\/168?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 9 = 3*l, -3*l + 17 = -12*f + 11*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0581*3.\nAnswer: 0.1743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 5*w + 59, 0 = 8*f - 2*w - 158 - 132. Calculate the remainder when 67 is divided by f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 - (-11 - 1)\/3 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 7*i**3 - 759*i**2 + 324*i + 4. Let k be t(108). Solve 0 = -u - 5*b + 6*b - 5, 2*b = -k*u - 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4074636 by -12273.\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqx when three letters picked without replacement from qxgggxxgqgxxgxgxxgg.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 v when two letters picked without replacement from vgvfifff.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -7) + 0 + 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - m**2 - 1. Let y be h(2). Suppose -y*k = -4*u - 6, 0*k - 9 = -3*k + 3*u. What is the second derivative of -2*w + 4*w - 3*w**2 + k*w**2 wrt w?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 11, x: 3}. Give prob of picking 2 a and 2 x.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*l + 13672 = 2437 for l.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 17. Suppose 0 = -7*a + k + 10. Solve 3*i - 12 = 2*j, a*i - i = 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1*(-4 + (sqrt(3) + 3)*1 + 0).\nAnswer: -5 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -2*m + 3, 26*t - 8 = 21*t - 3*m for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6340 divided by 3\nAnswer: -6340\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iqioqiiiiiiiii. Give prob of picking 2 q and 1 o.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.034 and -0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14512 - -21808. Does 76 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.073681 - -0.073622069. What is q rounded to seven decimal places?\nAnswer: -0.0000589","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (102*g**2 + 234*g - 234*g)*(2 - 4 + 0)*(0 + 5 - 3).\nAnswer: -408*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/5 + (-57)\/(-15). Suppose 0*m + i*m = 0. Solve -g + 5 = -m for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 7\/80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -12*q**3 - 3*q**2 + 3*q + 38. Let t(g) = -10*g**3 - 2*g**2 + 3*g + 39. What is -4*m(n) + 5*t(n)?\nAnswer: -2*n**3 + 2*n**2 + 3*n + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 165 + 226. Suppose -d = -29*k + 28*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55864 and 1236.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - y + 1 = x, x = -5*y - 19 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 377*g - 20*g + 258*g + 2*g**2 + 21*g.\nAnswer: 2*g**2 + 636*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22485, -22611, -22847, -23199, -23673, -24275, -25011, -25887?\nAnswer: -26909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-20*(-8)\/1440).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2755384, 5510757, 8266130, 11021503, 13776876?\n\"Answer: 2755373*c + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l - 17. Let i be o(13). Let r = i - 7. Solve 3*a - 5 = -5*c, r*c + 5*a = -2*c - 9 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 28. Suppose 0 = y - 5*d - 0*d + 18, 4*y + d = -9. Let i = y - a. Are i and 5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 9:11 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*x - 15 = 0, 2*x = t - 0*x + 5. Suppose 10*l - t*l = 10. Let i be l\/(0 - 3\/15). Which is bigger: i or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/5, 5, 14, 1\/9, 3\/2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 4*l - 948, l + 3*l + 3*i = 934. Suppose -p = 5*o - l, -3*p - 23 = -2*o + 71. What is the remainder when 91 is divided by o?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + -0.16. Let r = t - 0.14. Sort 2\/3, -1, r.\nAnswer: -1, r, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 52*s**4 + 456*s**3 + 580*s**2 - 2400*s - 2000 = 0?\nAnswer: -5, -10\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -176\/3*n - 4\/3*n**3 - 112\/3 - 68\/3*n**2.\nAnswer: -4*(n + 1)*(n + 2)*(n + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**5\/45 + 13*i**4\/27 + 64*i**3\/27 + 40*i**2\/9 + 66*i + 2. Let o(s) = 0. What is s?\nAnswer: -10, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 348.\nAnswer: 3828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m - 1. Let h be y(2). Let a(n) = n**3 + 6*n**2 - 5*n + 2. Let d(z) = -z**3 - 5*z**2 + 4*z - 2. Give h*a(q) + 6*d(q).\nAnswer: -q**3 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2685*j**3 + 3370*j**3 - 6764*j**3.\nAnswer: -709*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 202 = -2*s, -4*s - i = 189 - 591. Let g = -98 + s. Solve -g*n - 3 = -n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79108212 to the power of 1\/3, to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 13*a**2 + 13*a - 12. Let v be p(-14). Suppose -121 - 49 = -v*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100221 - -1022010110?\nAnswer: 1021202112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4554, -5, -2 in decreasing order.\nAnswer: -2, -5, -4554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 78839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100001011111001110101101 (base 2) to base 14.\nAnswer: 124731b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(-10)*(-1 + 17). Let t(s) = -5*s + 38. Let w be t(7). Let p be 4 + -2 + (4 - w). Solve -a + x = p*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164663 (base 7) in base 9?\nAnswer: 50142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14.8 and 0.06.\nAnswer: 0.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/2*8\/(-6). Suppose -l*w + 1 = -k + 3, 3*k = -2*w + 14. Suppose -3*x + 155 - 5 = 4*b, k*x + 3*b - 193 = 0. List the prime factors of x.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3432503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2\/2 - 19053*n\/2 + 191130.\nAnswer: -3*(n - 20)*(n + 6371)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -17*x + 186. Determine n(15).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-1 + sqrt(7)*2)*5*-2)**2 - (-3*(sqrt(1008)*2 + 4 + -4))**2.\nAnswer: -33386 - 400*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2 - 2*w - 2. Let g be -2*(-4 + 123\/6). Let m = -30 - g. Let p(t) = -4*t**2 + 3*t + 4. Calculate m*p(o) + 5*n(o).\nAnswer: -2*o**2 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 10, b: 9}. Give prob of sequence bbb.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -5*o + 243. What is the tens digit of t(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9, t: 5}. What is prob of picking 3 t and 1 a?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8125013, 16250021, 24375029?\nAnswer: 32500037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 753151842?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.1876 times -0.02\nAnswer: -0.003752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*q + q + 2*q)*(-q - 2*q - q) to x*q**2 + p*q + y and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(567) + 0).\nAnswer: 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -74 + 174. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 403.4, 1\/29417, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1246910\/11 >= -113354?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**32*p*p**17)\/(p\/(p*p**(12\/13))*p*((p\/p**(-30))\/p)\/p*p) assuming p is positive.\nAnswer: p**(285\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 686815, 686862, 686907, 686950?\n\"Answer: -w**2 + 50*w + 686766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 365590 to the power of 1\/2, to the nearest integer?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -20009, -11119, -2229?\n\"Answer: 8890*z - 28899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x**2 + 2*x - 2. Let y = -41 - -42. Let t be p(y). Let z be -1*2\/20 + t\/10. What is the fourth smallest value in z, -1, 0.2, -2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 6 = -4 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 99*f + 440. Let a(r) = -2*r**2 - 297*r - 1330. Let z(p) = 2*a(p) + 7*j(p). Factor z(u).\nAnswer: 3*(u + 5)*(u + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 6051 + 6065 = 0, 0 = 3*a + 3*c + 4 + 14 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*n + 180*n = 4*l + 820, 660 = 4*n - 4*l. Solve -20*u + n - 120 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**2 + 14*t + 14. Let d be g(-6). Solve -d*y = 4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((966\/(-112))\/(-23))\/(3\/6)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven halves of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 1 = 2. Let b be 2 - (x - (-1 + 8)). Let l = b - 10. Solve -2*s + 4*s = l for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 987043985 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17725?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 659 is divided by 51?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 11*b**2 + 15*b + 41. Let u be r(-12). Solve -u*y + 3 = -6*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**4 - 25*l**3 + 45*l**2 - 35*l + 10.\nAnswer: 5*(l - 2)*(l - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50.84 - -51.84. Which is the closest to -28\/5? (a) 1\/14 (b) -4 (c) j (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*m*n*x - 2*m*n - 3*m*x - 4*m - 2*n*x + 18702*n + 2455*x + 2 with respect to x.\nAnswer: -13*m*n - 3*m - 2*n + 2455","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 343272?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5*v**3 - 9*v**2 - 10*v - 3. Let t(b) be the first derivative of b**4 - 8*b**3\/3 - 9*b**2\/2 - 2*b + 4842. Calculate 6*f(x) - 7*t(x).\nAnswer: 2*x**3 + 2*x**2 + 3*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 1860 = -15*s. Let a = s + 122. Does 2 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -1. Sort 2, -15, b.\nAnswer: -15, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 12 = -6*z. Let w be (2 + -1)\/(z\/(-60)). Suppose -5*l + w + 0 = 0. Put l, 1, -1 in decreasing order.\nAnswer: l, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k*k**(-1))**(-43)*k**(-2\/3)\/(k*k*k\/k**(1\/3)) assuming k is positive.\nAnswer: k**(-268\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f - 2*f + f**4)*(124 + 106 + 90 + 23) to the form j + q*f + d*f**3 + z*f**2 + v*f**4 and give v.\nAnswer: 343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*(7\/(-56))\/(1\/(-4)). Let o be t*(-1)\/18 - 4702\/12. Is 3 + 1 + o\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 384 - -4?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 668 - 1251 = -583*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10020 (base 3) to base 12\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-96)\/(-4))\/(-6))\/((-6)\/(-21))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4*s + 24 = 0, -5*b - 4 = -5*s + 6. Put -2\/7, 0.1, 1.4, b in decreasing order.\nAnswer: b, 1.4, 0.1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, s: 8, f: 2}. What is prob of sequence fsss?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -9*l - 3. Let z be y(-7). Calculate the highest common factor of 24 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 33*a**2 + 7*a**2 + 3*a**4 - 2720*a + 2716*a to t*a**2 + q*a**3 + o + m*a**4 + x*a and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 12:08 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a + 10. Determine g(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -37*l**2 + 2*l + 3. Determine v(2).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -904.52623 less than 335?\nAnswer: 1239.52623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -k**8\/672 - 3*k**7\/140 - 7*k**6\/120 - 45*k**2\/2 + 78. Let s(t) be the second derivative of u(t). Let s(z) = 0. What is z?\nAnswer: -7, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/22*(-171)\/(-342)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (24\/(-120))\/((-1)\/15). Solve -v*c = 4*c - 14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**5 - 33*l**4 + 114*l**3 - 120*l**2 = 0.\nAnswer: 0, 2, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 + 2)*(-3 - 3 + 5) - 3 + 3 - 1)*(-7515*q + 14104*q - 7087*q).\nAnswer: 996*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -17, -37, -55, -65, -61, -37, 13?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44162216 and 12560?\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 90 + -19. Let y = -70.36 + q. Round y to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6056 is divided by 236?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1976 is divided by 407.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - ((5 - 6) + 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 9*x + 6. Let i be w(-6). Let o be (-2*1)\/(i\/30). Sort o, 2, 4 in descending order.\nAnswer: o, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 17*f**2 - 14*f + 33. Let s be t(-16). Let k be (s - -23)*(-1910)\/8. Round k to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - 6*n + 8. Let q = -44 - -57. List the prime factors of g(q).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**3 - 239*z - 2*z**3 + 323*z in the form k*z**2 + p*z**3 + u*z + n and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 16 = 0, -5*c + 2*d = -0*c - 48. Suppose 125 = 3*x - 5*j, -159 = 3*x - 7*x - j. Let b = x - 36. Calculate the lowest common multiple of c and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3575985 divided by -715197?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -5*o**3 - 3*o - 3. Let h(z) = 5*z**3 + 2*z + 4. Let m(t) = -3*h(t) - 2*v(t). What is the first derivative of m(y) wrt y?\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**2 + 5*n + 23. Let l(f) = f**2 + 2*f + 12. Let k(s) = 2*j(s) - 5*l(s). Let d be k(4). Solve -d*t = 2*t + 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -50a4068?\nAnswer: 50a4072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -462*n - 67 + 7283 = -638 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k + 14. Calculate y(-16).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 109423.\nAnswer: -7\/109423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 59 = -3*b, -2*x - 38 = 7*b - 9*b. What is the units digit of 322 + ((-40)\/(-420) - 2\/b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*n + 398 = 281 - 543 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 28\/4*-3*(140\/(-30))\/14\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 2:29 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -848672, -848671, -848670, -848669, -848668?\n\"Answer: c - 848673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tckatikj. Give prob of sequence caj.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -323, -329, -335, -341?\n\"Answer: -6*o - 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10868*p + 259816 - 259816.\nAnswer: -10868*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -82*y**6\/3 - y**5\/10 - 217*y**4\/3 - 153*y + 1. What is the third derivative of g(w) wrt w?\nAnswer: -19680*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*w - 152 = -8*w + 42 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2 - 4 - 2 + g**2 + 0*g - 2*g. Let o be l(-2). What is the first derivative of -2*v**4 - 9 - 6 - 10*v**4 - 3*v**o wrt v?\nAnswer: -60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15.78*-16\nAnswer: -252.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 4:14 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 1542?\nAnswer: 7710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13542)\/976*2\/(-3))\/(18\/72).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*s + 63 = 215, -g - 5*s = 61. Let r = g - -113. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**5 + 726*d**4 + 86346*d**3 + 4203522*d**2 + 72567900*d = 0.\nAnswer: -186, -75, -51, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ruo when three letters picked without replacement from rrurrgrubgbbwurorww.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 168 = -4*f, 6*f - 7*f = 5*y - 17 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j - 10. Let z be n(-7). Let f be (-44)\/(-3) - 2\/(-6). Suppose z*u = 3*c - 10, 0*c - 5*u = -5*c + f. Solve c*k - 4 = q, 3*k = -2*q + 32 - 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -5 (c) 2\/11 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(504)*1)\/sqrt(8) + sqrt(693)\/(sqrt(99) + sqrt(11) + sqrt(11)))\/(sqrt(18)\/(-2*sqrt(2)) - sqrt(324)).\nAnswer: -12*sqrt(7)\/65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1)\/l)**(2\/37)*(l**0)**(5\/3))**(2\/9) assuming l is positive.\nAnswer: l**(-8\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5*m**2 + 5*m - 9. Determine k(-5).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tqqtttddt. What is prob of sequence qttt?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 119*t - 2171. Calculate r(97).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 1\/4*y + 1\/12*y**3 + 3 + 1\/4*y**2. Factor n(p).\nAnswer: (p + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16034.\nAnswer: 2, 8017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -7049193 at most -7049193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 2:32 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 88906978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 47 + -47. Suppose 0 = 3*j, -y + 2 = -h*y + 4*j. Suppose 0 = -y*p - 3*r + 163, 2*p + 0*p - r = 175. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 0.01 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -37*x**2 + 5. Let v(n) = 44*n**2 - 6. Let a(h) = -6*k(h) - 5*v(h). Let c(f) = -170*f**2. What is a(c(o))?\nAnswer: 57800*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212111111 - -200?\nAnswer: 212112011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-14 - -16 - (0 + 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 40775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 + (-343)\/42)\/((-3)\/9). Let j = 8 - p. Let h = -517\/390 - 1\/130. Which is the third smallest value? (a) j (b) -4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {x: 7, d: 5}?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-76)\/114)\/(3\/(-1098)*2). Suppose 251 = 4*h - u - 201, -2*u = h - l. Is 94 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 709.\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13434 is divided by 278.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14640211357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**3 + t**2 + t - 2. Let m be s(1). Let g(l) = -l**2 + l - 4. Let j(y) = -y**2 + 2*y - 5. Determine m*g(r) - 2*j(r).\nAnswer: -r**2 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6877 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 - (7 - 559 - 7)?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117, -39, 171, 579, 1251?\nAnswer: 2253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5866717 minus 0?\nAnswer: -5866717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + 7*s**2 - 4*s**2 - s + 4.\nAnswer: 3*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/1314234 and 26\/85206171?\nAnswer: 511237026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 29*t. Let b(g) = 13*g + 1. Let c(h) = -9*b(h) + 4*o(h). Let k(m) = 19*m. Give c(k(s)).\nAnswer: -19*s - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40695 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -6. Suppose 0 = 3*m + 4*a - 1020, 3*a = -t*m + 4*a + 1700. Is ((-6)\/(-4))\/(15\/m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -401060421 - 1?\nAnswer: -401060422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 4257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13627445 - 104?\nAnswer: -13627551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46420729?\nAnswer: 367, 126487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*b - 17*b - 26*b to the form r*b + a and give r.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 369 and 858?\nAnswer: 105534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.52? (a) 0 (b) -1\/6 (c) -11559\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 13 - 7 = 5*f, 3*f = 4*q - 37. Let a(m) = 19 + q*m + m - 22 + 0*m. Give a(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 22*i**2 + 25*i - 42. Let v be z(23). Solve 36 = -0*w + 4*w + v*g, w - 4*g = -16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i - 3*i - 4*i)*(-3*i**4 - 2*i + 2*i + 5 + 2*i**4 - 5 + (-1 + 0 + 3)*(-1 + 1 + 2*i**4) + 4*i**4 + 0*i**4 - 2*i**4).\nAnswer: -10*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 103 + 2221ca?\nAnswer: 222300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 7. Let y(x) = -x**3 - 2*x**2 - 2*x - 1. Let o be y(l). Suppose 1 + o = b. Is b not equal to -3\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/(-5) - 1576\/640 and 79\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6073 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6508 + 6508. Let t(y) = -3*y - 10. Determine t(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32978 + 37692. Is y a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k + 2. Let u be (7\/4)\/(-7)*-4. Suppose -3*g + u = -2, -2*y + 3*g = 13. What is f(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from miiqpiiixqpcipp. Give prob of picking 2 q.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15275448.\nAnswer: 2, 3, 53, 4003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -39717 - -2?\nAnswer: -39715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -x**6\/360 - x**4\/12 - x**2. Let a(o) be the second derivative of r(o). What is a(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5455 is divided by 739.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49.9 - -6.1. Let c = -767.271 - -823.27123. Let p = g - c. Round p to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 + 1. Let s = v - -42. What is the highest common divisor of 24 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 475*w - 31 = -480*w, 0 = -5*w + 15 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -10. Suppose -5*t = -d*v + 2, 0 = 3*t - 7*t + 8. Let h(z) = -z - 3 + v. Let q(j) = -2*j. Give h(q(u)).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 130 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0.5 (c) 0.4 (d) 0.3 (e) -3.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*l - 2*l + 2*l)*(2 + 1 - 4) + l + 7 - 7 - 4*l + 2*l - 3*l)*(-7*l - 20*l - 34*l) as j*l + x*l**2 + u and give x.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 185187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5343 and 49580349.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 6 = -l, -5*m + 45 = 37*l - 42*l. Let j(f) = -f**3 - 5*f**2 + 2*f + 6. Give j(l).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20950 at most as big as -25621?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 46, 56, 78, 118, 182, 276, 406, 578?\n\"Answer: a**3 + 3*a + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 + 0*a**2 + 2*a**4 + (2*a**3 + 3*a**3 - a**3)*(2 + a - 2))*(3 - 6 + 1).\nAnswer: -12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 496976 and 1424?\nAnswer: 1424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j + 1. Let h be p(-11). Solve 28 = 3*i - 4*f, -h - 16 = -2*i + 5*f for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 6*l**3 - 7*l**2 + 7*l - 7. Suppose -x = -4*x - 6. Let r(d) = 18*d**2 - 35*d**2 + 2*d**3 - 2 + 15*d**2 + 2*d. Determine x*p(z) + 7*r(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45 + 16 + 22 + 45 - 22 - x**2 to the form a + r*x**2 + d*x and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -670, -669, -668, -667?\n\"Answer: f - 671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15145.6 - 13960. Round c to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 280*x + 400?\nAnswer: 280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 9*i - 2. Let d be v(-9). Let r(z) = 7*z - 4. Let m(x) = -13*x + 7. Let c(b) = 6*m(b) + 11*r(b). What is c(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.007 - 11. Let m = -320.213 - -320. Let y = m + j. What is y rounded to 2 dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 8*z**4\/3 - 610*z. Let n(d) = 23*d**2. Determine n(x(q)).\nAnswer: 23552*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -x + 1. Let q(s) = s**3 - 9*s**2 + s - 8. Let p be q(x). Solve 3*j - 15 = 3*y, 2*j = -0*j - y + p for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.043 - 0.043. Which is the closest to -2? (a) -2\/11 (b) -17\/4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l - 163. Let k(w) = -w + 1049. Give i(k(b)).\nAnswer: -2*b + 1935","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 16. Suppose -q*t + 174 = -57. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 243*g - 60218. Determine q(248).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06997835 - -0.06987. Round g to six dps.\nAnswer: -0.000108","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 9 = 2*d. Suppose -2*p = d*j - 297, 5*p = 3*j - 6*j + 695. List the prime factors of p.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 446 and 41701.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265993438?\nAnswer: 2, 132996719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, m: 3}. Give prob of sequence msms.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 250, 415, 578, 739, 898?\nAnswer: 1055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -2*q**3 + 1. Suppose 5*w - 226 + 201 = 0. Let m(t) = -6*t. Let i(p) = -42*p. Let u(f) = w*i(f) - 36*m(f). Determine u(x(y)).\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide (132\/(-10))\/((-12)\/640)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 424*x**2 - 7497*x - 83. Determine o(17).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 9:50 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence skt when three letters picked without replacement from sootctkststddttsk.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 6*n + 229. Let d be x(-9). Find the second derivative of d*a**5 - 45*a + 22*a**5 - 42*a + 92*a**5 - 24*a wrt a.\nAnswer: 5780*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - 0. Let g(t) = 6*t + 3. Let u be g(-3). Let b be o\/(-2)*u\/6. Is 0 less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*j**2 - 13 + 26 + 16*j**2)*(-2 + 2 + 2).\nAnswer: 2*j**2 + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 534531 is divided by 1955.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1673139 and 381?\nAnswer: 212488653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.425438 rounded to one decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -348 - -342. Sort -4\/5, n, 2\/9, 0.5 in increasing order.\nAnswer: n, -4\/5, 2\/9, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12.86 - 13. Let d = -0.06 + p. Let j = 0.2 + -0.3. Which is the smallest value? (a) j (b) -2\/3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3439966 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 81 + (-10 - (-36 + (1 - -14)))\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7384 and 1144?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000001111110001011 - 11?\nAnswer: 1000001111110001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -30566*q. Let h be s(-2). Let m = 137305 - h. Let u = m + -137173. Round u to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 835*n**2 + 6*n - 55*n - n**3 - 861*n**2 - 24.\nAnswer: -(n + 1)**2*(n + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4*c + 405. What is the highest common divisor of c and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 12) to base 15.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 11288, 778.\nAnswer: -5, 3, 778, 11288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/(-126))\/((1\/2)\/(-1)). Sort 3, -0.3, -1\/3, g in increasing order.\nAnswer: -1\/3, -0.3, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -10*n**3 - 13*n**2 - 10*n + 14*n + 3*n**2 + 13*n + 28 + 6*n**3. Let y be l(-8). Calculate the greatest common divisor of 52 and y.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(44)\/sqrt(4) - sqrt(11)) + -5 + (1*sqrt(11))**2 + (-1*(-1*sqrt(1100) + sqrt(1100)))**2.\nAnswer: -3*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 686*m - 184*m = 3514 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -523169 (base 10) to base 5.\nAnswer: -113220134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4.57 or -1\/3?\nAnswer: -4.57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 3*v + 0*v)*(-7 + 1 + 5)*(1 - 4 + 4)*(2 - 1 - v - v).\nAnswer: 6*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -138275000 to the nearest 100000.\nAnswer: -138300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 divided by 38?\nAnswer: 33\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1187797, -2375607, -3563405, -4751185, -5938941, -7126667?\n\"Answer: l**3 - 1187817*l + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12384316 by -3096079.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w + 1. Let d(a) = 10*a + 14. Let s(y) = y**2 + 6*y + 2. Let j be s(-6). Suppose j*u - 36 = 5*u. Calculate u*i(g) + d(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 6*o - 3*o + (1 + 2*o - 1)*(-2 + 6 - 3))*(9 + 3 - 3).\nAnswer: 36*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 106910 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -683*v**3 - 553*v**2 + 5*v**4 + 1103*v**2 + 96*v**3 - 551*v**2 - 4*v**4 + 6701*v wrt v?\nAnswer: 12*v**2 - 3522*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16955\/12 - 1415. Is -2\/5 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151542028 less than 151542028?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29.7 + 32.7. Which is the closest to -0.1? (a) 1\/3 (b) 1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13.43 + -0.57. Which is the second biggest value? (a) 1 (b) 4 (c) v (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -q**7\/6 - 13*q**3\/2 - 19*q**2. What is the first derivative of o(c) wrt c?\nAnswer: -140*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 12 (b) 0.2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 8 = -3*x. Suppose -x*k + 17 + 3 = 0. Let c(h) = 4*h**2 - 14*h + 15. Does 22 divide c(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 277, 586, 895, 1204, 1513?\nAnswer: 1822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -112*d**5\/5 + d**4\/4 - 403*d - 43. Differentiate v(u) wrt u.\nAnswer: -448*u**3 + 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/((-2)\/1))\/((-2)\/(-3)*279\/(-124)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 57) + (-219 - -275)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + h + 30. Let p be 1 + -4 + -15 + 24. What is n(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -575, -1072, -1593, -2132, -2683, -3240?\nAnswer: -3797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(7) + -1)*-6)**2.\nAnswer: -36*sqrt(7) + 261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 22 = 3*x, -1306*o + 1310*o - 6*x - 4 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -90\/529747?\nAnswer: -90\/529747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001001101111101110010 + -10?\nAnswer: -101001001101111101110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/5, -0.7, -0.2, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12021 - 11?\nAnswer: 12010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 57144.96um?\nAnswer: 0.00005714496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a166 + 3503?\nAnswer: 12669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 254324 a multiple of 293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 18272 (base 12) to base 4\nAnswer: 20201312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u + 119. Let n be c(0). Suppose -10*x = 31 + n. Let v = 144 + x. What is the highest common divisor of 43 and v?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5446 divided by 1\nAnswer: 5446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (3383\/(-398))\/((-2)\/4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 6581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 36 = -39. Let j = 19 + o. Let z = j - -20. Calculate the remainder when 47 is divided by z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 356129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -5*o + 4, 2*j + 0 + 4 = 2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-3))\/2 - (-131)\/((-5895)\/6). Let w be (8\/(-45))\/((-4)\/(-10)). What is the closest to 0.1 in w, 4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2231 is divided by 529.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 4 - 1)*(-18857*x - 27779*x - 1 + 1196*x + 2364*x + (-3 + 2 + 3)*(x + 0 + 0)) to p + h*x and give h.\nAnswer: 86148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2 + 1 - 4 + b + b**3 - 1. Let f be y(3). Suppose -4*d = -0*g + 3*g + f, -1 = -5*d - g. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 + 0 - -12)*(-2)\/42*1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22.26 - 17.46. Which is the nearest to j? (a) 0.11 (b) 2\/5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 142350160*m**6 + 263735810*m**2 wrt m?\nAnswer: 17082019200*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1734 divided by -18?\nAnswer: 289\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**4 - 75*u**3 - 441*u**2 - 297*u + 810.\nAnswer: 3*(u - 30)*(u - 1)*(u + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/5 of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 23.3, 2, 1, 18, 0 in decreasing order.\nAnswer: 23.3, 18, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*z**3 + 3*z**2 - 4*z**2 - z**3 - z**2 in the form q + b*z + g*z**3 + w*z**2 and give g.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 2*r = -155, 90*m - 5*r + 124 = 24*m + 70*m for m.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00282172528 rounded to six dps?\nAnswer: 0.002822","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*p + 133*p = -127*p + 165 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1037, 3646, 7835, 13472, 20425, 28562, 37751?\nAnswer: 47860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 3\/4, -0.018, -3\/8, 23 in ascending order.\nAnswer: -3\/8, -0.018, 3\/4, 20, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -80574 + 33155. Let z = 73393 + p. Let w = -467647\/18 + z. What is the common denominator of w and 95\/32?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9418 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/7 + 2\/7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v - 2*v + 0*v + (-5*v + 5*v - 2*v)*(0 - 3 - 2) + 2*v - 1 + 1 + (-4 + 2 + 1)*(-22*v + 5 - 3 + 20*v) + 0 + 0 + v.\nAnswer: 13*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3001222230 (base 4) to base 6\nAnswer: 25000300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -5*d + 165. Suppose -3*p - 12 = 0, -g - 4*g + p = -d. Suppose 3*v = -2*z + 9, g = 3*z + 5*v - 4. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-4777)\/(-1))\/(3\/9) + 0?\nAnswer: 3, 17, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bqqbzqbbbbqzbzqb. Give prob of picking 1 q and 1 z.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 + (-10 - (-39 - -82) - -29)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 - 4*o**2 + 3*o**2)*(2*o + 4*o - o)*(7*o**2 - 2*o**2 - 2*o**2).\nAnswer: -15*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/7 (b) 1 (c) -192\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 0*j**3 + 0*j**3 - 8*j**3 - j**3. Let v(b) = 19*b**3. Calculate 13*m(l) + 6*v(l).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - o + 165, 145 = f - 3*o - 0*o. Is f a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 184\/13 - (28\/91)\/2. Suppose -n*o - 27 = 29. Which is the third smallest value? (a) o (b) -2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/1)\/(2 + 0\/3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(-5) + (-2)\/(-5). Let l be 34\/9 - i\/9. Let p = 100 + -94. Solve 5*z - p*z + 5 = 0, l*k - 4*z = -40 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 4693104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6630*t**4*x - 9189*t*x**2 - 750171150*x**2 wrt t.\nAnswer: -26520*t**3*x - 9189*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 9 + (0 - 2 + 4)*(0 - 1 + 2) - 1 + 0 - 1 + 4 + 3 - 5)*(-f**2 + 2*f**2 - 3*f**2).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(0*i - 5*i**2 - 3*i + 2*i).\nAnswer: 10*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4581 and -0.3.\nAnswer: -1374.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64676128 by -68368.\nAnswer: 946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -w - b, 0 = 5*w - 8*b + 3*b. Solve w*l = -4, 2*v - 6*l = -5*l for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*u - 10023253616 + 10023253616.\nAnswer: -88*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 - -43 - (-6 + 1 + 14)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -6 - (134 + -133).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f**2 - 6*f + 6. Let d(c) = c**2 + c - 1. Let y(h) = b(h) + 6*d(h). Let x(n) = -2*n**2. Determine y(x(r)).\nAnswer: 12*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.863 rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -6*y**2\/7 - 79670928*y\/7 = 0.\nAnswer: -13278488, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 3.03. Let u = -0.97 - l. Let a = -5.04873 + 0.04873. What is the biggest value in u, a, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (4\/(-2))\/(1122\/162 + -7) is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -0*b + 4. Let p = b - 1. Solve p = -f + 2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 11, b: 5}. What is prob of picking 2 b?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + y**2 + y - 1. Let o(f) be the first derivative of -4*f**4 - 14*f**3\/3 - 7*f**2 + 14*f - 129. Calculate -56*j(r) - 4*o(r).\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 4*p**2 + 16*p + 7. Let o be b(-7). Let s = o - 34. Suppose 379985 = -5*q - s*v + 3*v, -76015 = q - 5*v. Round q to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**6\/120 + 4*o**5\/15 + 2*o**4\/3 + 8*o**2 - 1165*o. Suppose -9*c = -8*c - 17. Give f(c).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a**3*p**2 + 732*a**3 - 374*a*p - 493836*p**5 + 40 wrt p?\nAnswer: 6*a**3 - 9876720*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-4) - ((-819)\/476)\/13.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2167 is divided by 24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3383591?\nAnswer: 59, 57349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/13 (b) 1 (c) -2\/21 (d) 8 (e) -134\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three tenths of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -x**6 + 14*x**3 + x**2 - 629*x + 1 wrt x?\nAnswer: -120*x**3 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/1 + (-11824)\/68 + -2. Let m = h - -174. Let r = 2 - 3. Are m and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -n + 1. Suppose -w = -n, w - 6*w = q - 18. Let y = -7 + 11. Which is bigger: q or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 25865 = 177473. List the prime factors of p.\nAnswer: 2, 6317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51.6 + 51. What is the nearest to -2\/3 in -1\/2, t, 2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62349\/443 equal to 141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*f = 5*f + 997, 0 = -f + 3. What are the prime factors of (-1)\/(-8) - (-23575)\/m?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6965.\nAnswer: 5, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -819 (b) -3\/5 (c) -0.1 (d) 1\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/84 and -23\/673368?\nAnswer: 4713576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2491391.\nAnswer: 7, 355913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -627 - -624. Suppose -19 = -5*t - 64. Let b = t - a. Is -7 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -679055 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20\/3 - 6. Let v = -323\/8 + 40. What is the nearest to 0.1 in -1, v, h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (63 + 28 + 19)*(0 - 2*k + 0) to the form o*k + n and give o.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 3*i. Suppose 3*s + 9 + 3 = i. What are the prime factors of (6\/s)\/((-5)\/70)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-816)\/36*(-162)\/459 + 36\/(-5)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 148945 in 3\/2, 0.1, -1, 5, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1397148.\nAnswer: 2, 3, 173, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1488 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u + 3*u**3 - 4*u - 23908 - 4*u**3 + 23908.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 2*k + 12. Let w(c) = -5109*c**2 + 4*c - 24. Calculate -2*b(n) - w(n).\nAnswer: 5107*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 32, 27, 20, 11, 0, -13, -28?\n\"Answer: -u**2 - 2*u + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 2*p**2 - 51*p - 364. What is the thousands digit of i(29)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 t, 1 w, and 1 y when four letters picked without replacement from wbiypitwbiiibyb.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 j when four letters picked without replacement from {j: 4, b: 3, e: 1, f: 5, n: 4, p: 1}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -166379008 divided by -6.\nAnswer: 83189504\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 1000111?\nAnswer: 1001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 4363*n**5\/20 + 7*n**4\/6 + 13*n**3\/3 + n**2\/2 - 10*n + 296. Find the third derivative of w(q) wrt q.\nAnswer: 26178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in -0.5, 2, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -107 * 48.\nAnswer: -5136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 617978677, 1235957355, 1853936031, 2471914705?\n\"Answer: -h**2 + 617978681*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 15 - 12*p + 23*p + 8*p. Let y(v) = 1. Let h(z) = g(z) - 3*y(z). What are the prime factors of h(2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 11*f = -3*y - 8*f - 6, 0 = 2*y - 4*f - 12 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88 and 13789?\nAnswer: 1213432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 8*n**2 - 2*n - 1. What is the least common multiple of 4 and c(-2)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1432*n - 5*k + 48 = -1429*n, k = 4*n + 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -36, -70, -118, -180, -256, -346?\nAnswer: -450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 - r**3 - 3*r**3 + (-3*r**2 + r**2 + 3*r**2)*((1 - 1 - 6)*(r + 4 - 4) + 4*r + 8 - 8).\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 544.254 to the nearest integer.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*j - 27*j - 3*f - 9 = 0, 9 = j - 6*f for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -16. Let l(n) = n - 1. Let p(s) = 16*l(s) - o(s). Let q(m) be the second derivative of m**3\/6 - 91*m. What is p(q(z))?\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85 and 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 634265469 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*k**3 - 118*k**2 + 355*k - 200.\nAnswer: (k - 5)**2*(11*k - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/49 - (-116)\/28. Suppose -s - 2*w + 42 = -113, -a*s = -w - 611. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 + 236781*t + 473550.\nAnswer: 3*(t + 2)*(t + 78925)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 785.1591 centuries to years.\nAnswer: 78515.91","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) - (sqrt(605) + -1))**2 - sqrt(605) - (sqrt(20)\/sqrt(4)*4 + sqrt(5)).\nAnswer: -16*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 <= 3863.69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 130780 and 5980.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20736 by 75.\nAnswer: 6912\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -6 (b) 2\/369 (c) 0 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j**2 + 29*j. What is b(-10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(132) - sqrt(396)\/sqrt(300))\/(2*(1*sqrt(704) - (sqrt(704) - (sqrt(704) - (sqrt(704) - (sqrt(704) + sqrt(704)*1) - sqrt(704)))))).\nAnswer: 13*sqrt(3)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + l = 5*f, 0 = -5*f + l. Let s = -1 + -2. Let z = f - s. Solve -5*b = -z*c - c + 30, -17 = -5*c - 4*b for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/9)\/((-1)\/1)*5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 6*f - 482 = 0, 3*f = 2*y + 18 - 563. Calculate the highest common divisor of y and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 270513 and 162.\nAnswer: 1623078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -51333 (base 6) in base 4?\nAnswer: -1222221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6296*i**3 + 1488*i**2 + 694*i - 1711 wrt i?\nAnswer: -37776*i + 2976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/(-15))\/((-15)\/9 + 2). Let v = 2 - -2. Find the second derivative of v*n + 6*n**2 - 3*n**2 + 0*n**w wrt n.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 116940931 to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 4*r = -r + 49, -31 = 4*o + o - 14561*r + 14562*r for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2730\/75 - (-2)\/(-5). What is the greatest common divisor of 396 and m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/104*-2*(-70)\/21*(-204)\/(-5).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8275497 is divided by 3065.\nAnswer: 3062","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -2503057?\nAnswer: -2503052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 336236 and 1260885?\nAnswer: 5043540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 165350 at least 108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxxxxxxxxxxxxrxx. Give prob of sequence xrr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 10*v**2 + 11*v - 13. Let h be m(9). Let t(w) = -4*w**2 + w**2 - 5*w**2 + h*w**2. Let g(b) = -b**2. Calculate g(t(r)).\nAnswer: -9*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2610 a multiple of 174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o - 2*o = -16. Let s(y) = -320*y + 8. Let u be s(o). Let j = -102 - u. List the prime factors of j.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1293 - 1293.175. Round a to two decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + d + 0*d)*(4 - 6 + 1) + 99 + 225*d - 98 + 188*d + 4*d - d - 5*d.\nAnswer: 413*d + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 14 = 17. Solve -x + r = -2 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62.7 - -62.8. Let k = 27 + -41. Let w = -5 - k. Which is bigger: w or s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of w**3\/3 + w**2 + w - 28. Determine q so that p(q) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*w - 2*w - 4*w - 4*w - 3*w + 6*w + (0*w + 3*w - 2*w)*(2 + 0 - 3) - 2*w + 6*w - 2*w + (-4*w + 2*w + 0*w)*(5 - 1 - 6) to y*w + h and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -432907 or -432906?\nAnswer: -432907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*r, 5621*a = 5624*a - 4*r - 8 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 2*n + 6*n)*(-35 + 3*n**2 + 78 + 44*n - 45).\nAnswer: 6*n**3 + 88*n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k - 10. Let g be a(-4). Factor -g*i**4 + 109 - 109 - 2*i**2 - 4*i**3.\nAnswer: -2*i**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3 = w, w - n + 5 = -2*w. Is (-3)\/w*14920\/30 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204 = -91*z + 21*z - 2794 for z.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b + 2. Let a be t(0). Solve -3*s + a*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of y**7\/210 + 37*y**6\/120 + 9*y**4\/4 + 2*y**2 + 2. Find the second derivative of t(p) wrt p.\nAnswer: 12*p**2 + 222*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) + -1 + 3)**2.\nAnswer: 36*sqrt(2) + 166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 103563045 to the power of 1\/2, to the nearest integer?\nAnswer: 10177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3924344013.\nAnswer: 3, 1308114671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3)\/(-1)*(-69)\/92?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 7. Let d(t) = -6*t - 60. Let a be d(-10). Suppose a = 5*s + 26 - 36. Solve 0 = g*r - 5*p, -4*p = s*r + 23 - 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4 + 176587*y**2 - 176516*y**2 - 2*y - 2*y. Let l(w) = -6319*w**2 + 355*w - 355. Give 4*l(o) + 355*q(o).\nAnswer: -71*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -k**5\/12 + 41*k**4\/18 + 53*k**3\/18 - 17*k**2\/3 - 645*k - 1. Suppose l(d) = 0. Calculate d.\nAnswer: -1, 2\/5, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 84*k + 5. Calculate z(-1).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 179685150 to the nearest integer?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -9. What is the remainder when 63 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7742\/9 - 15599\/18. Calculate the common denominator of z and -83\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -136, -559, -1320, -2467, -4048, -6111?\n\"Answer: -8*y**3 - 121*y**2 - 4*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6764?\nAnswer: 2, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 20*o**2 - 73*o + 49. Give x(23).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33906.88071 rounded to 0 dps?\nAnswer: 33907","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -6*b**2 - 18571916*b\/5 + 2476256\/5 = 0.\nAnswer: -619064, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/4*(-5 + 5). Let b be 3 + 0\/(-3) + -1. Suppose -g - 2*a = g, b*a = m. Is -1\/2 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -7. Suppose -2*h + 40 = s*h. Let f(a) = 9*a - 3. Is f(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15619*v**2 + 12710*v**2 - 4*v + 13892*v**2 - 45291*v**2 + 633 wrt v?\nAnswer: -6140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 501.2311 to zero decimal places.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 177578 to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-6)*9\/(-104). Let w = -36 + 35. Is w less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -140 and -11.\nAnswer: 1540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7169 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3725350 less than or equal to 37253499\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.9006457 to 0 dps.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -3*y**3 - 51*y**2 + 600*y = 0.\nAnswer: -25, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 61967094 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -606260.713 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 18 - (2 - -3) - 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35365.1 - 35365. What is the fourth smallest value in 4.23, 0.3, q, 1?\nAnswer: 4.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14.50000405 - -14.5. Round n to seven decimal places.\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*q = 16*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/5 in -2\/45, -5, 177, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5899*p = 5831*p - 884 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -2.49 (c) 0 (d) 0.3 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -u**3\/3 - 15*u**2\/2 - 16*u. Let p(h) = -15*h**2. What is p(n(y))?\nAnswer: -60*y**2 - 900*y - 3375","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-144)\/(-540))\/((-76)\/(-30))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-93)\/(-18) + (-3)\/18. Suppose d*v - 10*v - 65 = 0. Which is greater: -12 or v?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 306, 1239, 2846, 5157, 8202, 12011?\n\"Answer: 5*z**3 + 307*z**2 - 23*z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/13, -23, 16395?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 2:25 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 5*k + 0*k**3 + 47 + 0*k - 6*k**3. Let m(i) = 5*i**3 - 4*i - 47. Suppose -9*q = 24*q - 165. Let o(l) = q*m(l) + 4*g(l). Differentiate o(x) wrt x.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (6 - (-3 + 9)) + (8 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 4, 9, 16, 25, 36?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 5*h**4 + 85*h**3 - 33065*h**2 - 1769425*h - 25284000 = 0.\nAnswer: -43, -35, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1743355889 to the nearest integer?\nAnswer: 41754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 75756830*p**3 - 147087067*p.\nAnswer: 454540980*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 25 + 5 = 0. Suppose 12*b = h*b - 1332. Find the common denominator of ((b\/(-4))\/(-3))\/((-522)\/232) and -57\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -180104, -180087, -180066, -180047, -180036, -180039, -180062?\nAnswer: -180111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 738, 1476, 2214, 2952, 3690?\nAnswer: 4428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -162*c**2 + 4*c wrt c.\nAnswer: -324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 79*h - 2. Let o(w) = -332*w. Give c(o(n)).\nAnswer: -26228*n - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12.455 - 79.455. Which is the smallest value? (a) m (b) 2\/13 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2472960720 to the nearest one hundred thousand.\nAnswer: 2473000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 17*d**2 - 9*d - 15. Let g(r) = r**2 - 1. Let s(o) = -6*g(o) + x(o). Let z(f) = 2*f - 6*f - 4 + 5*f**2 + 0*f. What is -4*s(l) + 9*z(l)?\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 8 - 8)*(-q**4 + 6*q**4 + 2*q**4).\nAnswer: -28*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 502, 500, 498, 496?\nAnswer: 494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005668227 rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 915 and 90?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d - 1. Let s(l) = l**2 + 13*l - 10. Let u(p) = -s(p) + 2*z(p). Determine u(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 5808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 + -30. Let a(m) = 2 + l + 2*m**3 + 12*m**2 + 13*m - 4 - m**3. Let k be a(-11). Round k to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + 0. Suppose -3*s + 11*s = 18*s + 31*s. Which is the biggest value? (a) f (b) s (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 30952 - 5?\nAnswer: 30947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 111, 241, 403, 585, 775?\nAnswer: 961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -160 - -3?\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of u**5\/30 - 5*u**4\/24 - 7*u**3\/3 - 8*u**2. Is f(6) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 31*i = 26*i - 166 - 85, i + 51 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**2 + 3*i + 6. Let q be l(3). Let c be (-1)\/((-1)\/2 + 2)*q. Solve -2*v + 3*v = c, -7 = -w - 2*v for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -102\/13 in 3, -0.2, -20, 1\/3, 6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 115.143078 to 2 dps.\nAnswer: 115.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (8708\/(-174160))\/(34\/5)?\nAnswer: -1\/136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(500) + 5 + sqrt(500) + 1 - 6*(sqrt(500) + 1)) + 0 + -5 + -1*sqrt(500) + sqrt(500))**2*-5 + 3.\nAnswer: -40122 - 2000*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 326230 to the nearest one thousand.\nAnswer: 326000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 23890 = 5*j - 10*j, -j + 4798 = -3*s. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*a = -4*a - 6600011, -3*a = 5*v - 11000023. Let c be v\/22 - 2\/11. What is c rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -115 - -73 - -90 - -21.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 - -6 - (-3 - 28)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -557*z + 470 = -322*z. Suppose f - l = -6*l + 5, -5*l = 0. Suppose f*t = -3*x - 19, 5*t = -4*x - 5 - 12. Solve -z = d + x for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 3*j**2 - 2*j - 3. Let l be r(4). Suppose 8 = k + 4*i, -i = l*k + 4*i - 100. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -979\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x + 1. Let h(q) = 2 - 2 - 6*q - 1. Let g be h(-2). What is the remainder when z(g) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nzne when four letters picked without replacement from {z: 11, n: 2, e: 2}.\nAnswer: 11\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l**(-17)\/l))*l)\/l)\/(l\/(l**13*l)*l)*l*l**(-1\/11)*l**(9\/5)*l assuming l is positive.\nAnswer: l**(-126\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -23, -2290 in decreasing order.\nAnswer: 5, -23, -2290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/5)\/(g*g*(g\/(g\/(g*(g\/(g*((g\/(g**(5\/2)\/g)*g*g*g)\/g)\/g*g))\/g)))\/g))\/(g\/g**(-2))**15 assuming g is positive.\nAnswer: g**(-441\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 71 - -1?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**4 - 4*v**4 + 3*v**4 + (-3 + 2 + 0)*(-4*v**4 + 2*v**4 + 0*v**4) + 2*v**4 - 7*v**4 - v**4 + 0*v**4 + 2*v**4 - v**4 - 5*v**4 + 2 - 2.\nAnswer: -7*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and ((-1)\/(-4))\/((-5)\/(-220))?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8478 - -827?\nAnswer: -7751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24\/79 in -278, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 2756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 22*w - 51. Give h(-20).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 653, -4, 3 in decreasing order.\nAnswer: 653, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28528 and 94.\nAnswer: 1340816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -v**6\/30 - 67*v**5\/25 + v**4\/20 + 67*v**3\/15 - 6359. Determine d so that l(d) = 0.\nAnswer: -67, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -765 times -5?\nAnswer: 3825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -3\/334, 1, 0.2, -2 in increasing order.\nAnswer: -3, -2, -3\/334, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 41*c**2 + 5*c + 47. Let k(z) = 102*z**2 + 12*z + 117. Let v(u) = -12*d(u) + 5*k(u). Differentiate v(p) wrt p.\nAnswer: 36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 64*y**2 - 1057*y + 30937. Calculate u(55).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2662)*6)\/((sqrt(288)*-1 - sqrt(2)) + (sqrt(88)\/sqrt(4))\/sqrt(11)).\nAnswer: 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 13*t**2 + t + 2. Let w(z) = -26*z**2 - 2*z - 5. Determine 5*u(h) + 2*w(h).\nAnswer: 13*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 3*f - 2*f - 8, 5*m - 3*f - 10 = 0. Let k(j) = -j**m + 2*j**2 + 6*j**2. Let n(u) = -3 - 1 - 2*u + 4. Determine n(k(y)).\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -2, 39, -0.5, -1.7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s = 19*b - 567, 323*s - 326*s - 110 = -4*b for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 5*j - 10, 0 = 4*j - 5*i - 0*i - 8. Suppose 13*s - 43 = 87. What is the third derivative of -s*m + 10*m + m**j + 3*m**6 wrt m?\nAnswer: 360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17238, -17234, -17232, -17232, -17234?\nAnswer: -17238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 61 * -43\nAnswer: -2623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 10:52 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -8 + -2 + (10 - 7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 728 and 336?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*h = 5. Let a be (2 + -1 - 0)*2. Suppose -2 = a*t - 3*t. Sort 5, h, t in increasing order.\nAnswer: h, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1714375 or 1714373?\nAnswer: 1714375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (18\/(-15))\/((-12)\/800)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -246 - -230. Which is smaller: -110\/7 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 70 - 46. Let i = 26 - m. Solve -3*d = -3*b - 5 + 2, -5*d = i*b - 19 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/1908972 and -33\/742378.\nAnswer: 13362804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 93 = -3*l + 121 - 256, 0 = -77*l + t - 412 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 130339516 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1740318322.\nAnswer: 2, 17, 23, 97, 22943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**2 + 247*i - 4*i**2 + 0*i**2 - 3*i**2.\nAnswer: -11*i**2 + 247*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g + 14*i - 11*i + 94 = 0, -4*g = 5*i - 22 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in 0.1, -0.04, 5, -3, 9, 70?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7236491 to the power of 1\/2, to the nearest integer?\nAnswer: 2690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -13. Let q be (-6 - -1)\/(n - -2). Suppose w + 13 = 4*i, -4*i = -0*i - q*w - 33. What is the remainder when i is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (90\/(-8))\/(45\/(-240)). Suppose 0 = 5*p - 2*p - z. What is the greatest common factor of 180 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3*(sqrt(65)\/sqrt(5) + sqrt(13)) + 4*(sqrt(13) - sqrt(130)\/sqrt(10))*-6.\nAnswer: -1 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, y: 2, p: 1, b: 1}. Give prob of sequence py.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 110941 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -80185*l**3 + 10*l**2 + 40090*l**3 + 3 + 40091*l**3 - 3*l + (-3*l + 2*l - l)*(-2*l**2 + 0*l + 0*l) + l**3 - 2*l**3 + 0*l**3.\nAnswer: -l**3 + 10*l**2 - 3*l + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 8993 - 9015 = 3*a, -4*f + 4*a - 8 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -389 - -1943\/5. Which is the second smallest value? (a) l (b) -4\/5 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 7 + 7 - 15)*((2*u**2 + 2*u**2 - 2*u**2)*(-4*u**2 + 3*u**2 - 3*u**2) - 10*u**4 + 0*u**4 - 4*u**4) as v*u**3 + a + z*u**2 + b*u**4 + l*u and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*a = 7*f - 710, 887 = 5*f + 2*a. Let n(h) = -f + 83 + 88 - h. Let b be n(-8). Solve w + 2*k = -b, -1 = -k - 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/21 greater than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 2566616960 to the nearest 100000.\nAnswer: 2566600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 273261101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 194647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7389018 a multiple of 819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 20. Suppose 4*x + 2*x + v = 0. Suppose 2*u + 2*u = -12. Put u, x, -1 in decreasing order.\nAnswer: -1, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.14, 2\/5, -2 in decreasing order.\nAnswer: 2\/5, 0.14, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/80063 and -36\/62009.\nAnswer: 84146213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2144 + -2097. Which is bigger: -15\/2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 203, 583, 975, 1385, 1819, 2283, 2783?\n\"Answer: q**3 + 373*q - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2478287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 16*i + 5 = 0, 0 = -3*r + 2*i + 13. Solve -74*m + 70*m + 12 = -2*v, 5*m - r = 5*v for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -158 by 3254.\nAnswer: -79\/1627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2031 (base 4) to base 7\nAnswer: -261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 35*s - 153. Let z be f(4). Let k(x) = x**3 + 13*x**2 + 8*x + 98. Let l be k(z). Let t(c) = -c**2 - 4*c. Determine t(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -47 + 2*y**2 + 10*y + 13*y - 44. What are the prime factors of a(-20)?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -291, -301, -311?\n\"Answer: -10*t - 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 7:33 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 44\/(-5) + (-1)\/5. Let w be ((-56)\/16)\/((-2)\/(-4)). Let u = w - t. Put u, -1, 1 in ascending order.\nAnswer: -1, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -0.64, -61\/4, 1, -1\/9?\nAnswer: -0.64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.62 - 82.82. Let d = -79 - r. Round d to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4*(0\/4 + 2) and 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 2*z + 2*z)*(-6 + 3 + 2) + (-5*z + 2*z + z)*(-3 + 2 - 2 + 2 + 1 - 5 + 4 - 5 - 1 + (-2 + 3 + 0)*(-1 + 0 + 0)).\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 0*r + 54. Suppose 2*u + 3*j = 5*u - r, 5*j = 4*u - 74. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 806 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1497, -3047, -4733, -6555, -8513, -10607?\n\"Answer: -68*z**2 - 1346*z - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -5*d**2 + 18*d + 29. Let v(x) = -6*x**2 + 19*x + 28. Let y(r) = -6*v(r) + 7*z(r). Let p be y(-5). Let 0 + p*w + 0*w**2 + 2\/3*w**3 = 0. What is w?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24839*q**3 + 24845*q**3 - 2*q**4 + 161 - q**4 + 2*q**4 in the form b*q**2 + m*q**3 + a*q + u + j*q**4 and give u.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.258 - 121.258. Let s = g - -120.99999862. Round s to 7 dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58504, 117078, 175798, 234736, 293964, 353554, 413578, 474108?\nAnswer: 535216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from lwlezlzzelzllllzze?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 101 + 5?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29067344361 + -19283.\nAnswer: 29067325078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-7)*q**(-3\/7))\/(q**(2\/9)*q**(-1))*((q**2\/q)\/(q**(1\/4)\/q))**(1\/18) assuming q is positive.\nAnswer: q**(-367\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99 = 2*q + 3*m + 115, 10*q + 5*m + 60 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125520?\nAnswer: 2, 3, 5, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*k + 7 = -15, x = 5*k + 24. Is -1\/47 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n**5\/60 + n**4\/24 + 3*n**2\/2 + n. Let g(p) be the first derivative of o(p). Find the second derivative of g(d) wrt d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -l**4\/4 - 7*l**3\/3 - 5*l**2\/2 + 5*l - 1. Let d(o) = 3*o**3 + 24*o**2 + 18*o - 18. Let j(z) = 5*d(z) + 18*w(z). Factor j(c).\nAnswer: -3*c**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58 - 97. Calculate the common denominator of (-97)\/(-10) + 1 + -1 and (g\/(-30) - 2) + 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*a - 8507, -n - 5682 = -2*a - 3*n. Suppose 0 = 3*h + a + 7192. Let i = -20197\/6 - h. Calculate the common denominator of -36 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(140)\/((1*sqrt(60) + sqrt(60))\/sqrt(12)))\/(-1*sqrt(64) + sqrt(4) + (sqrt(100) - sqrt(100)*1)))**2.\nAnswer: 151\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 188*a - 7997. Give t(65).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6896, 6867, 6832, 6791, 6744, 6691, 6632?\nAnswer: 6567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.02*330.\nAnswer: -336.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v - 2. Let d be x(7). Suppose 23 = -83*m + 27*m + 135. Solve -m*j - d = -3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 3\/5*z**3 + 3\/5*z - 6\/5*z**2.\nAnswer: 3*z*(z - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 10:01 AM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -94.076 + 0.076. Let c = -94.099 - o. Round c to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 25, 2*y + 4*k - 5*k + 17 = 0. Put -0.4, y, -4 in decreasing order.\nAnswer: -0.4, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -11. Let k(l) = -l**3 + 2*l**2 + 3*l + 1. Let c be k(3). Suppose -c + 9 = -q. Put a, -4, q in descending order.\nAnswer: a, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 17*w**2 - 49*w + 24. Determine f(14).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -1\/2 (b) 932502 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, q: 3, y: 1, v: 3}. What is prob of sequence qy?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pyp when three letters picked without replacement from {l: 1, p: 2, y: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5 = s, -2*f + 5*s - 23 = 2. Suppose l = -p - f*p + 28, 144 = 5*l + 4*p. Suppose 5 = x - l. Calculate the remainder when x is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - -8) + (-8)\/2. Suppose u*i = -3*i + 5. Which is smaller: 7\/9 or i?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262454033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6928722 to the power of 1\/2, to the nearest integer?\nAnswer: 2632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 + 1884*r + 9495.\nAnswer: -3*(r - 633)*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3424*u**2 + 6*u + 3. Let s(k) = 1420959*k**2 - 2488*k - 1244. Determine -1244*h(z) - 3*s(z).\nAnswer: -3421*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*v - 4*m - 15, -2*m = 4*v. Suppose -5*s = -3*g - 1 + 2, g = 4*s - 9. Is (4 - g) + (14 - v) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence unln when four letters picked without replacement from nlntnunuund?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 760, 591, 420, 247, 72?\n\"Answer: -w**2 - 166*w + 927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10905 is divided by 376?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2 + 9603*r - 192819. What is k(20)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14, -23, -30, -35, -38, -39?\n\"Answer: g**2 - 12*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 3:00 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 6:52 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (6\/8)\/(4\/(24\/9))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*l = 2*v + 24582960002, -12*v - 1293840001 = 2*l - 11*v. What is l rounded to the nearest one million?\nAnswer: -647000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-180348)\/182)\/6 + 2\/13. Do l and -174 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 28)\/(10*(-18)\/120)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7, -9, -21, -49, -99?\n\"Answer: -b**3 + b**2 + 2*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 3 (c) 4.5 (d) 1\/6 (e) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 207.\nAnswer: -11\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.9 and -60060.\nAnswer: -174174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-4)*-12 - 5. Let j be (f\/4 - -1)\/(30\/(-60)). Let v = 503\/5 + -101. Put -10, j, v in descending order.\nAnswer: v, j, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-4))\/(3\/(-6)). Let t(p) = 6*p**3 - 6*p**3 - p**2 - p**z - 3 + 1. Suppose -3*b = k + 4*k + 22, -3*b = k + 14. What is t(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -4*u + 2. Let h be x(-4). Let g be (-2)\/(-3)*(-84)\/(-8). Let q(r) = 8*r - 2. Let t be q(g). Calculate the highest common divisor of h and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 204\/10*((-7480)\/60 - -123).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 4*j + 17 = 2*j, -5*p + j = -26 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 322 - 575. Let y = -240 - z. Let r = 37 + 2. What is the highest common divisor of y and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -223120 divided by 20?\nAnswer: -11156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1\/4, 4, -9\/7 in decreasing order.\nAnswer: 4, -0.1, -1\/4, -9\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -975 + 1063. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2192652*f**3*u**2 + 32*f**3*u + 3*f**2*u**2 - f*u**2 - 741*u**2 - 112*u wrt f.\nAnswer: 13155912*u**2 + 192*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 67 divided by 22264\nAnswer: 67\/22264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 241 = -3*b, -3*j = 14*b - 12*b - 180. What is the remainder when 121 is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 15. Let l = o + -12. Let f = 6428 + -6423. Which is the fourth biggest value? (a) l (b) f (c) 0.6 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3 - 27\/16)\/3 - -3 and 115\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 7453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1*(x\/(x*x\/(x\/x**(-5))*x))\/x)\/(((x\/x**(-2\/13))\/x*x)\/(x**(2\/11)*x)))\/((x**0)**(-36)*(x**(-4)\/x)\/x**(-7)) assuming x is positive.\nAnswer: x**(290\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*x - 11*x - s - 91690, 0 = 4*x + 4*s - 73328. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -2\/19 (c) 62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 783067 is divided by 39?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -147601, -147801, -148001, -148201?\nAnswer: -148401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -u**6\/60 + 13*u**5\/30 - u**4 + 7*u**3\/3 - 16*u**2. Let a be w(12). What is the highest common divisor of a and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 9:45 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u - 3 - 2 + 2*u + 0*u. Let g be x(-4). Let y(q) = q + 15. Let r be y(g). Solve r*a = 3*a + 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32? (a) -0.063 (b) 4\/53 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2216.4 - -2216.8. Let j = -0.4 + -0.2. Which is the closest to j? (a) 1\/3 (b) -4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 951.93657823\nAnswer: -955.93657823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 5*u + 12 = -3, -5*d - 9 = 3*u. Let i(m) = m + 9*m - 9*m + 0*m + 3. Calculate i(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.4*8139.\nAnswer: -92784.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 4*x**2 + 2*x - 2. Let g be u(-2). Let f = 1638 + -1636. What is the nearest to g in f, -1\/9, -0.6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3224 (base 6) in base 12?\nAnswer: -514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/858 and -163\/858?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 296*z - z**5 + 37839990*z**4 - 4 - 37839990*z**4 - 681*z**2 wrt z.\nAnswer: -20*z**3 - 1362","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 7*t**3 - 48*t**2 - 7*t + 17. Determine l(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o - 25. Let g be r(14). Suppose 75 = -2*s + a + 368, 5*s - 731 = g*a. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 10*j**2 + 7*j - 4. Let r be f(10). Let z be (-848)\/r - (2 + -3). Let h = z - -13\/11. Calculate the common denominator of h and -17\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -9.8. Let x = i - -0.08. Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35669 divided by -673\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1113036?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 16\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -14*i**2 - 6*i - 15. Let q(y) = -76*y**2 - 31*y - 73. Give 16*n(w) - 3*q(w).\nAnswer: 4*w**2 - 3*w - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*p**3 - p**2 - 46727*p + 122663?\nAnswer: -24*p**2 - 2*p - 46727","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of -r**4\/4 + 12*r**3 - 25*r**2 + 105*r + 177. Does 10 divide f(34)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 819814*f**2 - 1639791*f**2 - f**3 + 819850*f**2.\nAnswer: -f**3 - 127*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*s = 63*s + 25. Let f = 5 + -4.9. What is the nearest to f in 1\/2, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-24)\/28)\/(2\/14). Let k = 11 + z. Solve -k*b = -g - 1, 3*b = -b for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/5*(-30720)\/(-761856).\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140641 (base 11) to base 12.\nAnswer: a7656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 9*l + 4*l**2 - l**2 - 10*l + 5. Is i(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/9 and -34\/89.\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 11*d**2 + 8*d + 4. Let h be t(-10). Let y be h\/8 - 117\/24*2. Which is bigger: y or -7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-6))\/1*-9 + 80\/16.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**5\/7 - 26*a**4\/7 - 80*a**3\/7 - 72*a**2\/7 = 0.\nAnswer: -9, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zdsdzzdizrz?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 216121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -527 + 176 + 344 - 29*f - 332*f.\nAnswer: -361*f - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -131510 to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0441 and -0.1.\nAnswer: -0.1441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*u = -o - 11, 14 = -4*o + 2*u. Let i(q) = -q - 1. Let z be i(o). Suppose z*m + 2*d = 3*m - 12, -m + 3 = -5*d. Is 9 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 272 and 3504.\nAnswer: 59568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -22. Let m = -333.1 + 333. Put d, m, 7\/3 in increasing order.\nAnswer: d, m, 7\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k + 1. Let r(n) = -10*n - 10. Let s(q) = -2*r(q) - 18*t(q). Let v(m) be the third derivative of m**4\/24 + m**3\/6 + 19*m**2. Determine s(x) - 3*v(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6424655128 and -0.5.\nAnswer: 6424655127.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*h - 3*c + 7, -14 = 2*h - 4*c. Let d be 21\/84 + h\/4*-67. Suppose 3 = -3*x - 2*u + 56, 4*x = -5*u + 73. Is d greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (8\/(-3))\/((-35)\/21945).\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**2 + 17 + q**2 + 7*q - 16*q. Let t be s(-10). What is the highest common divisor of t and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.00344583 + -0.5.\nAnswer: -0.49655417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v - 2. Let p(i) = -i**3 + 6*i**2 + 5*i - 6. Let o be p(7). Let n = -13 - o. Let a be n\/(-3) - (-8)\/(-12). What is m(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18209 to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + 0)*3*9. Calculate the greatest common factor of 9 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 13*n - 92904 = -49*n. List the prime factors of n.\nAnswer: 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.130231 weeks?\nAnswer: 21.878808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -557 - -847. Let z = l + -290.1. Which is the nearest to -2\/5? (a) 2\/9 (b) z (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*q**3 + 4*q**3 - 6*q**3 + 25 - q**3 wrt q?\nAnswer: -39*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2853 divided by -37\nAnswer: -2853\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2, -5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*(0 + sqrt(1872)))**2.\nAnswer: -5616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -31*n + 1239. Let y be p(40). Let l(v) = -v - 1. Let d(w) = -w**2 + 6*w + 3. Calculate y*d(a) - 4*l(a).\nAnswer: a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6079 (base 12) to base 8.\nAnswer: -24335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 * 363\nAnswer: 2541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 take away -2861.7?\nAnswer: 2835.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) 47 (b) 56 (c) 183\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -2)\/((-1)\/(-1)). Let c(z) = -z + 3 - d + 2*z + 7*z - 4*z**2. Let w(t) = -42*t**2 + 91*t**2 - 17*t - 40*t**2 - 4. Give 13*c(m) + 6*w(m).\nAnswer: 2*m**2 + 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-21) + -1 + 1. Let q = 2\/1061 - -2080\/22281. Which is the closest to 0? (a) q (b) 4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 4*k**2 + 2*k - 3. Let j be t(4). Let u(v) = 4*v - j*v - 8 - v. What is the units digit of u(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-8)\/(-60))\/(12\/(-10))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/2301575 and -51\/1505.\nAnswer: 16111025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 - 25.2. Round d to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*b - 1081*r + 1084*r + 154, 5*r + 218 = -2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**27\/((i\/(i\/i**17))\/i) assuming i is positive.\nAnswer: i**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 6 = -2*b - b, -30 = -5*n + 5*b. Suppose 64*i - 65*i + n = 0. Let k(v) = -v**2 + 4*v + 7. Give k(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*j - 22*j - 10 + 7 + 26*j.\nAnswer: 53*j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 133 and 1197.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -220, -850, -1900, -3370, -5260?\n\"Answer: -210*s**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 3:48 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17145 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(240))\/sqrt(12).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -8) + -376*34\/1360?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (-12)\/(3\/1). Let v(l) = -l - 6. Let z be v(i). Let s(w) = w + 1. Let h(p) = -p - 1. Calculate z*h(u) - 3*s(u).\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 0*i + 223\/4*i**4 + 47\/2*i**2 - 1\/3*i**3 - 212. What is the third derivative of h(f) wrt f?\nAnswer: 1338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 305 and 304 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8\/33 - -26\/165. Let m be 2 + -26*(-1)\/(-10). Which is the closest to 1? (a) 0 (b) u (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -485, -973, -1465, -1961, -2461, -2965, -3473?\nAnswer: -3985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8232, 16426, 24582, 32700, 40780, 48822, 56826?\nAnswer: 64792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -3*a + 282. Suppose -382 = -4*o + 566. Let w = o - a. Does 14 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9247675.\nAnswer: 5, 67, 5521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*l + 44064 = -63261. Does 53 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j**2\/5 - 56*j\/5 - 64\/5 = 0 for j.\nAnswer: -8\/3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3)\/((-256)\/(-4608))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + sqrt(5)*-1 - (sqrt(5) - sqrt(25)\/sqrt(405)) - (2 + (-4 + (sqrt(5) - sqrt(25)\/sqrt(5)) + sqrt(5))**2 + 1 + sqrt(180))).\nAnswer: -40 + 2*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {o: 3, b: 13}?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 25. Suppose 2*f + z*s - 1020 = 0, -s + 1 = -2. What is f rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2572*n - 465392 = -409*n - 5347*n - 4840*n for n.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 130\/(-39)*15\/(-2). Round m to 0 decimal places.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/111, 0.042, -36?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millennium in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2, 1166, 1\/6, -5, -3, -1 in decreasing order.\nAnswer: 1166, 2, 1\/6, -1, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*i + 12259 = 12301 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4223.542 + 38049\nAnswer: 33825.458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/12)\/((-1530)\/3400)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*q**5 - 15644*q**4 - 637636*q**3 - 1400164*q**2 - 950136*q - 171936 = 0 for q.\nAnswer: -36, -1, -2\/7, 597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nau when three letters picked without replacement from raanu.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand y - 3*y + 13*y + (0 - 3 + 5)*(-y + 2*y - 3*y).\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 1247 and 5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1021 = -4*l + 4389. Suppose -7*o = -l + 219. Let f = o - 89. Is 3\/26 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, 4, 104, -1\/3, -1\/2, 3.\nAnswer: -46, -1\/2, -1\/3, 3, 4, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 20. What is the derivative of -d*o**2 - 5 - 3 + 7 - 11 wrt o?\nAnswer: -22*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -27*j - 72. What is the lowest common multiple of 78 and i(-4)?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9350?\nAnswer: 2, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 22115026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -289168 by 53.\nAnswer: -5456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8\/7*s**2 - 2\/7*s**5 + 0 - 16\/7*s**3 + 10\/7*s**4 + 0*s = 0. Calculate s.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-30)\/(-24))\/(-2*(-6)\/8). Which is greater: 2 or m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**2)**(-7))**(11\/7))**(-2\/13) assuming g is positive.\nAnswer: g**(44\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -164.5 + 164.1. What is the second biggest value in 5, -2\/9, a, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -f - 3*f + 44, 3*k - 76 = 4*f. Suppose -k*c + 19*c + 389 = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*h + 6*h + 6*h)*(0 - 2 + 1) + (-2*h + h - h)*(-2 + 2 + 1) to the form b + n*h and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-341)\/(-330))\/(-31))\/((-1)\/3). Let v(z) be the second derivative of -1\/3*z**3 + 0*z**4 + 0 + 0*z**2 + c*z**5 - 3*z. Solve v(a) = 0 for a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98154 is divided by 240.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -61, -58, -55, -52, -49?\n\"Answer: 3*j - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2448) + sqrt(2448)*-2)*-3 + sqrt(187)\/(sqrt(22)\/sqrt(2)) + sqrt(119)\/(sqrt(14)\/sqrt(2)))**2 + -4)*1.\nAnswer: 24544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 1, -403726?\nAnswer: -403726","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*o + 11*o = -486882. Is 32 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wweewrw. What is prob of picking 2 e?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + b + 59 + 269 = 0, -3*g + 984 = -4*b. Suppose -3*v - 13 = -g. What is v rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 86.12 + 21.58. Let m = 118 - u. Let y = 10 - m. Sort 3, -3, y in decreasing order.\nAnswer: 3, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 7449?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -28, -1, 13, 4.\nAnswer: -28, -1, 3, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -c**5\/20 + c**4\/2 + 5*c**3\/3 - 4*c**2 + 4*c. Is y(7) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/10 and 23\/905?\nAnswer: 1810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11869 and 429.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3436 + -14084?\nAnswer: -10749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/5, 6\/11, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1336 less than 163.88?\nAnswer: -1172.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 34*f + 2*f)*(-2 - 4 + 4).\nAnswer: -64*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 675, 718, 757, 774, 751, 670, 513?\nAnswer: 262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -4*j + 6*j - 9, r - 4*j = -13 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1223 - -0.0223. Which is the second smallest value? (a) 0.1 (b) -5 (c) m (d) 4 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 (base 5) in base 14?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4644531, -37156278, -125402443, -297250236, -580566867, -1003219546?\nAnswer: -1593075483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/132 - 375\/(-4125). What is the closest to -0.1 in 0.3, -20, k, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1872) - sqrt(1872) - sqrt(1872))**2 - (sqrt(1573)*1 + sqrt(1573)))*-5.\nAnswer: 110*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 0*u - 6*u + 6*u + 7 + u. Suppose -c = 3*c. Give a(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1138 - -514a6?\nAnswer: 50369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 93320 rounded to the nearest one thousand?\nAnswer: 93000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77 and 693?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15\/3 - (3 + -1). Suppose b*z = 34 + 50. Solve -q - z = -5*d, -3*d + 13 = -2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.59014 from -6.\nAnswer: -5.40986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.26 * -13.\nAnswer: -3.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 167, 250, 75, -454, -1433, -2958, -5125?\nAnswer: -8030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 6*n**2 - n - 4. Let z be o(3). Let t be 7*((-15)\/3 + 0). Let j = t + 75. What is the greatest common divisor of j and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-15)\/(h**17*h) assuming h is positive.\nAnswer: h**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3324 is divided by 2509?\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 38*k**2 - 133*k + 84. Let r(x) = 3*x**3 + 112*x**2 - 399*x + 249. Let m(h) = 6*r(h) - 21*u(h). What is v in m(v) = 0?\nAnswer: -45, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 f when two letters picked without replacement from {w: 8, e: 1, g: 8, f: 1, m: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66 + -40. What is the remainder when 103 is divided by p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 79*x - 579. Let o be g(9). Which is the fifth biggest value? (a) 0.1 (b) -1\/4 (c) o (d) 3 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 794.1841 weeks to seconds.\nAnswer: 480322543.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 4:44 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - -11) + -9 + -1 + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4469 divided by -4469\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2100 (base 4) to base 6.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k + 8. Let b be f(-6). Suppose -4*p + 15 = -p. Suppose 5*h - 2*t - 2*t + 6 = 0, p*t = 5*h + 10. Solve -b*x = h*x - 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of 31*w**6\/60 + 61*w**3 + w**2 + 105. Differentiate h(v) with respect to v.\nAnswer: 186*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 189353163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-702)\/(-204))\/9 - 2\/(-17). What is the nearest to l in -1\/4, 2\/11, 1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + (2 - 1) - 1. Suppose -5*o + 5*j = q, 0*j + 3*j = 0. Suppose -2*k - 12 + 18 = o. Solve -4*a - 20 = 0, 2*a - 2 = k*h + 3*a for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32365.\nAnswer: 5, 6473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 0 + 8 + 1 + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79.64 + -84.183. Let w = r - -5.02. Round w to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -5, -1\/6, -15, 25, -1 in decreasing order.\nAnswer: 25, 9, -1\/6, -1, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -542, -2216, 16 in increasing order.\nAnswer: -2216, -542, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*y**3 - 22*y**4 - 4 + y**2 + 45*y**4 + 5 - 21*y**4 to the form z + p*y**2 + w*y**4 + i*y**3 + j*y and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 3, -1963, 1, 0, 45, 5 in ascending order.\nAnswer: -1963, -39, 0, 1, 3, 5, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 82*-525015\nAnswer: -43051230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 28*d + 580. Give q(-21).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, a: 1, q: 2}. Give prob of sequence alq.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399 is divided by 142.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (18\/5)\/(1\/30). Calculate the common denominator of 121\/6 and (-2)\/(t\/231) - 0.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 16*g**2 + 12*g - 89. Suppose 143 = 4*b + 87. Is d(b) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-7)\/r*((r*r**(1\/4))\/r)\/r)**(-4\/5)\/((r*r*r*r*r**(-2\/5)*r)**(1\/76)\/(r**0)**(-34\/3)) assuming r is positive.\nAnswer: r**(2637\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*1\/(-10))\/((-24)\/30)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2192078 to the power of 1\/3, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4484206*a - 8968365*a - 12 + 4484194*a.\nAnswer: 35*a - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1071215 is divided by 2632?\nAnswer: 2623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 83, 151, 211, 257, 283, 283, 251?\n\"Answer: -p**3 + 2*p**2 + 69*p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from daaaualakuau. What is prob of sequence aal?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 569217 is divided by 142296?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -7*d**3 + 4*d**2 + 4*d + 4. Let t = 4294 + -4290. Let h(z) = -z**2 - z - 1. Let l be 10\/14 - (-4)\/14. Calculate l*m(i) + t*h(i).\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -33*i**3 - 72*i**2 - 10*i - 151. Let f(p) = 7*p**3 + 15*p**2 + 2*p + 30. What is -19*f(j) - 4*l(j)?\nAnswer: -j**3 + 3*j**2 + 2*j + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 15) to base 11\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 3*d + 4 = -4, -4*q + 10 = -d for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 12 + 3)*(-4 + 4 + 4)*(12*x + 0*x + 7*x)*(x - x + 2*x**2).\nAnswer: 1976*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16874 by -27.\nAnswer: -16874\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2 + r**3 + 10 - 12*r + 4*r - 7*r**2. Calculate the lowest common multiple of 2 and u(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*x - x = 273 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 135559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 3:18 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 10.7. What is the second smallest value in -2, q, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 3*s + 64*n + 458 - 84 = -s - 3*s, 0 = -5*n - 30 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 5*z + 60, -10 - 50 = -3*l + 3*z. Let d(u) = 6*u**3 - l*u**3 + 4*u - 4 + 12*u**3. Let j(f) = -3*f**3 + 5*f - 5. Calculate -5*d(i) + 4*j(i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and (-1 - -4)*32\/12?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**4\/4 + 8*a**3 + 155*a**2\/4 - 8*a - 39 = 0.\nAnswer: -26, -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175775 is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -60, -4, 1, -7 in increasing order.\nAnswer: -60, -7, -5, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kofooody. Give prob of sequence okdf.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**3 + j**2 - 14*j - 37. What is c(6)?\nAnswer: -517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*i - 9. Solve -v + 13 = i*c, 0 = -4*v - 0*v + 4*c + 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -6*j - 8. What is the tens digit of p(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 5*q = 127, -213*q = -2*a - 210*q - 89 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2950 + 33280 = 45*u. List the prime factors of u.\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 e when two letters picked without replacement from rlllleleerr.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -85 + 138. Let h = 58 - s. Suppose -4*m - 4546 = -3*f + m, 7560 = h*f - 5*m. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -9, -22, -1, 0.89 in descending order.\nAnswer: 0.89, -0.4, -1, -9, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 168 - 58. Calculate the highest common factor of 11 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + a2b?\nAnswer: a31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -253 divided by 1492?\nAnswer: -253\/1492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -101 + 99 + (-14 - -16 - (24 + (1 - -2))).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.4528391 decades?\nAnswer: 0.004528391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a day in minutes?\nAnswer: 5184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 263874898 + -0.0708.\nAnswer: 263874897.9292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -87, -112, -153, -216, -307?\nAnswer: -432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 16 = 2*a + 3*j, -3*j - 12 = -3*a. Let l = 6 + -6. Suppose l = a*q + k - 57, 0*q + q = -5*k + 38. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 20609 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 58*s**3 - 612. Let d(g) = -g**2. Determine d(b(a)).\nAnswer: -30276*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 915431660 to the nearest integer?\nAnswer: 30256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -90ec2 (base 16) to base 4.\nAnswer: -2100323002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - d - 4 = -5*d, -4*u - 3*d + 3 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 11*n**2 + 3*n + 3. Let a be i(-1). Let v = a - 7. Solve -v*j = 4, -t + 3*j + 18 = 2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -271*i**2 - 15 + 1338*i**2 + 4 - 1055*i**2 - 6.\nAnswer: 12*i**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 808331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 + 1. Let f = m + 0.4. Let r = 20 + -119\/6. What is the second biggest value in r, 3\/7, f?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/10 of a millisecond?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 2)\/(-12 + (4 - -3)). Which is the closest to 4\/5? (a) 73 (b) d (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6313942?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -7*z - 12. Let g be s(-10). Let h = g + 366. Suppose -2*u + 2 = 12, -3*n - u = -h. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 924 - 829. Suppose 4*b = 453 + g. What are the prime factors of b?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 124\/7, -9, 2, 2073, 0.5 in decreasing order.\nAnswer: 2073, 124\/7, 5, 2, 0.5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -5*t**2. Let h(g) = -4*g**2 + 4. Let v(a) = -4*a**2 + 3. Let q(u) = -3*h(u) + 4*v(u). Calculate q(z(y)).\nAnswer: -100*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -712520 (base 8) to base 10\nAnswer: -234832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 10*i**2 + 11*i + 5. Let z be x(11). Suppose 0 = z*w - 11 - 4. Let -b + b**2 + 1\/3 - 1\/3*b**w = 0. Calculate b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 - 8 = 4*l. Which is smaller: l or -10?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -179 in -1\/4, 0.6, -1.41, -0.3?\nAnswer: -1.41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 40 = 2*t + 2*t, -t + 3 = -3*j. Suppose 9*x - t*x + 12 = 0. List the prime factors of ((-129)\/45 - x\/15) + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/5)\/q)\/(q\/q**(1\/11))*q\/(q**(-10\/7)*q)*q**(2\/7) assuming q is positive.\nAnswer: q**(-229\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a. Let h(f) = 62*f. Let z(r) = -60*r. Let l(p) = -4*h(p) - 5*z(p). Determine l(b(k)).\nAnswer: -52*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 10, 2*v - 9 = g + 1. Suppose b - 4 = -y + 4*y, -v*y - 8 = -2*b. Differentiate -15*i + 1 + 18*i + y with respect to i.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19 and 874.\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8965, -35831, -80607, -143293?\n\"Answer: -8955*y**2 - y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2575, -2, 75 in descending order.\nAnswer: 75, -2, -2575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 229\/23. Is s smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(66)\/(sqrt(120)\/sqrt(5))*-3 - (sqrt(66) + 4*(sqrt(66) + sqrt(66)*1))\/((sqrt(6)*-1 - sqrt(6))*3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -11, -7\/4, 7.9?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 318 = -264. Let y be (-3 - k\/20)*(-400)\/50. Solve -y - 46\/5*f**3 + 10*f**2 + 2*f**4 - 2\/5*f = 0 for f.\nAnswer: -2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3843 - -5446. What are the prime factors of q?\nAnswer: 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 655475 and 150?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2 + (sqrt(252))**2)*6 - (1 + -1 + 3*sqrt(175))) + 1.\nAnswer: -15*sqrt(7) + 9145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 135559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 132*h**4 - 1546*h**3 + 377269*h**2 - 3*h wrt h.\nAnswer: 3168*h - 9276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h - 2. Let d be c(-3). Is d at least 2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(88)\/sqrt(2))\/(-4*(sqrt(4)*-4 - sqrt(4))).\nAnswer: -3*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12811590 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -85 - -17980?\nAnswer: 178a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 62025889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.22 <= -856\/1185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18984 and 0.4.\nAnswer: 7593.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55 + -20. What is the remainder when h is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -15, 2*s + 12 = -r + 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -113*g**2 + 275*g - 95. Let k be b(2). Factor 4\/7*o**2 - 18\/7*o + 8\/7 + 16\/7*o**k - 12\/7*o**4 + 2\/7*o**5.\nAnswer: 2*(o - 4)*(o - 1)**3*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 8:07 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/165300 and -103\/1272810.\nAnswer: 12728100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 228720 and 500.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 93305 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (62000\/1800 + (-8)\/18).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 165255?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -h**6\/360 - 2*h**3\/3 - 2. Let j(d) be the third derivative of b(d). Let m(z) = -2*z. What is m(j(k))?\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/99824 and 41\/10610704.\nAnswer: 180381968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(f - 2*f + 2*f) - 24 + 2218131*f - 2218046*f - 16.\nAnswer: 87*f - 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -9*(3 - 50\/15). Solve -y*d = -d - 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**3 - w**2 + 1. Let c be k(-1). Let s be (-2)\/(c + (-14)\/(-4)). Is 134*(-4)\/s + -3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(1372) - sqrt(1372)) + sqrt(1372) + sqrt(252) + 0)**2 - (5 + (sqrt(1372) + -2 - sqrt(28) - sqrt(28)))) + -2.\nAnswer: -10*sqrt(7) + 2795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/548145?\nAnswer: -2\/548145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y. Let v be o(1). Let t = 2 - v. Sort 2, t, 0 in decreasing order.\nAnswer: 2, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 6 = -3. Let w be -1 - 1\/(b\/18). Suppose 13 = -2*r - 3*o - 2*o, r + w*o + 19 = 0. Solve -5*t - 2 = 4*n + 6, -3*n = 2*t + r for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 1416.\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1261 is divided by 321.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 n when three letters picked without replacement from xnnbxonnnonn.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -302713781, -302713782, -302713783, -302713784, -302713785, -302713786?\nAnswer: -302713787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-3))\/((-35)\/(-42))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from msmnmmmlmpnmmyymmm. Give prob of sequence sy.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4*((sqrt(35)*-1*-5 - sqrt(35) - sqrt(35))\/(2*sqrt(567)))**2*2.\nAnswer: 55\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -89*w**2 + 96*w + 583. What is y(-5)?\nAnswer: -2122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -13*b**3\/6 - b**2\/2 + 35*b. Suppose -3*c - 1 = -2*c. What is n(c)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 122 - 233\/2. Let w = -3\/181 - 17527\/1810. Find the common denominator of w and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 4*c - 9. Let v be k(-13). Let n = v + 80. Suppose -9*m = n - 539. Is m a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*f - 12 = 0, 4*f + 15 = 5*u - 11. Factor -2 + 4*b + u*b**2 + 9*b + 0*b**2 - 15*b + 2*b**3.\nAnswer: 2*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k + 11*k - 4*k - 53*i + 50*i + 36 = 0, 3*i + 42 = -k for k.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 449075622.\nAnswer: 2, 3, 74845937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 39427489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of 3 + 7\/2*y**2 + 0*y. Let b(a) = -2*a**2. Determine b(i(h)).\nAnswer: -98*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1397, -1404, -1411, -1418, -1425, -1432?\n\"Answer: -7*w - 1390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4a - 668?\nAnswer: -61a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 2*z**2 + 3 + (58 + 15 + 1)*(-5*z**2 + 6 - 6) to the form h + f*z**2 + y*z and give f.\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/2*12*27\/(-648)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = 5*t + 4*d - 142, 0 = -4*t + 2*d + 190. Suppose -c = -4*c + 51. What is the remainder when t is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/3)\/(12\/(-90)). Solve -y = 4*g + 6 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 166 + -165. Solve -3*m + j = 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**3\/7 + 1880*h**2\/7 - 1124650*h\/7 = 0.\nAnswer: -1355, 0, 415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 6 = -4. Let h = g + 3. Let t(f) = f**2 - 2. Calculate t(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5.65 and -75.136.\nAnswer: -80.786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 0 + 16 + -7 + -14.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6013 in 6, -0.3, -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 10\/7817671 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3344 + 3346. Let o(m) be the first derivative of 0*m**4 + 0*m - 11\/5*m**5 + 6 - 4*m**c + 0*m**3. What is the second derivative of o(y) wrt y?\nAnswer: -132*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, l: 1, w: 3, k: 3, e: 1, c: 2}. Give prob of sequence ke.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 106*t - 9. What is h(1)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 11, 103 in descending order.\nAnswer: 103, 11, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -25*g + 4. Let w(i) = 165*i + 2. What is w(v(u))?\nAnswer: -4125*u + 662","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x + v + 58 = 12*x, 3*v + 54 = -x. Is (x\/(-9) + -3)*15 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.3, -0.03, -480.6965 in decreasing order.\nAnswer: 2, -0.03, -0.3, -480.6965","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2106)\/(-1296) + 6\/16. Solve 0 = 3*a + 5*g - 14, a + l*g + 6 = 11 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10052342 (base 6) to base 13.\nAnswer: -a0817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -663.026518 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 135 = -0*g + 3*g, 3*c + g - 185 = 0. Calculate the lowest common multiple of c and 96.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 60 + 258. Does 36 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 4*c + 31. Let u be r(-9). Let q = u - -18. Differentiate -1 + q + 11*o**2 - 20 with respect to o.\nAnswer: 22*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**9)**(-7)*d**8*d**20\/d assuming d is positive.\nAnswer: d**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*t = 131*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20 + (208\/312 - (-10)\/3). Calculate the highest common divisor of r and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1130500 is divided by 565238?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -36333, -72661, -109001, -145359, -181741?\n\"Answer: -z**3 - 36321*z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, f: 4, o: 1}. What is prob of sequence fco?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 57881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, 1, -105, -0.2 in increasing order.\nAnswer: -105, -0.2, 1\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*i - 52 = 114*i. What is the common denominator of 91\/4 and (13442\/168)\/i + 6?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*x + 13*x = 380. Solve -5*l - x + 15 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -213*o - 1178 + 1178 in the form r + j*o and give j.\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5 + (sqrt(133)*2*-2)\/(sqrt(28)\/sqrt(100) + sqrt(7)) + 2.\nAnswer: -10*sqrt(19)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 977287, 977289, 977291?\nAnswer: 977293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -790*t + 12771 = -763*t. Let p(g) = g**3 + 3*g**2 + 3. Let o be p(-3). Find the third derivative of -t*d**3 + 16*d**2 + 473*d**o + 5*d**4 wrt d.\nAnswer: 120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -u**8\/3360 + u**7\/1680 + u**6\/720 - u**5\/240 - u**3\/6 - 2*u. Let s(f) be the second derivative of i(f). Factor s(x).\nAnswer: -x*(x - 1)**2*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 5:36 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2)\/(t*t**(-4)*t*t))**(7\/8)*((t*((t\/t**(2\/7)*t)\/t)\/t)\/t**2)**(9\/7) assuming t is positive.\nAnswer: t**(-991\/392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1087.\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(117)\/((sqrt(90) - (sqrt(90) + (sqrt(90) - (sqrt(90) + sqrt(90)*1))))\/sqrt(10)) - 2*(3 + sqrt(13) + 0)*-4.\nAnswer: 22 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*16 - -1) + (-319972)\/17244.\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29? (a) -13\/2 (b) 3\/5 (c) 2 (d) 3 (e) 5 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 2\/41, 1175, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 9482061 + 9482066 = -f, -7*f + 17 = 2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 271126 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -163 - -2?\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 40*c - 71. Let y be r(-38). Factor 1\/3*i**y + i**2 + 0 + 1\/3*i**3 - i**4 - 2\/3*i.\nAnswer: i*(i - 2)*(i - 1)**2*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 139200000 to the nearest 1000000.\nAnswer: 139000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 527 - 527 - 66*s.\nAnswer: -66*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 45045.54 kilometers in centimeters?\nAnswer: 4504554000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 13 = 7. Solve -4*h - r*c = 18, -h - 4*h - 2*c - 20 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 e when three letters picked without replacement from {e: 7, b: 4}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 77*d**2 + 85*d - 431. Determine i(78).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 475 (b) -990\/13 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -356 divided by -89\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -211 - -215. Let h be 8\/68 + l\/(-34). Put -6, -1, -2, h in descending order.\nAnswer: h, -1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4*c**2 + 15*c + 23. Is b(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - j + 0 + 8 + 3*j to h*j + c and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 213 = -m + 190, 2*m = -2*s - 14 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((2*-1*sqrt(91))\/sqrt(7))**2.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2181790774?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -9*((-88)\/30 + (-2)\/5). Let u = 1 + 0. What is the biggest value in u, h, 0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1198 + -113808\/95. Sort j, 0.4, -0.3 in decreasing order.\nAnswer: 0.4, j, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m - 6*m**3 + 4*m - m + (-6 + 1 + 4)*(m**3 - m**3 + m**3) to the form z + p*m + j*m**3 + b*m**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 100 = -4*r, 9*r - 4*r = 5*i - 155. Is ((-538)\/3)\/((i\/(-12))\/4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -126.3 + -9.\nAnswer: -135.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/(-35) + 19\/5. Let t = -15 + f. Round t to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + 5.1. Let x(o) = 6*o + 1. Let q be x(1). Let i be ((-1)\/q)\/((-2)\/(-4)). What is the third smallest value in -3\/5, i, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/2379 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.2 + 9.3. Which is the second biggest value? (a) -2 (b) 0.5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81805155.6*0.2\nAnswer: 16361031.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29086 is divided by 1422.\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 55.88 - 56. Let j = q - -0.22. Let f(m) = m**3 - 3*m**2 - 5*m. Let n be f(4). Which is the biggest value? (a) n (b) -0.1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00565908186 to 4 decimal places.\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 168, 179, 190, 201?\n\"Answer: 11*c + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (43 - (-8 + 3)) + (20 + -9 + 6 - 3).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*a - 3*z, -3*a + 0*a = z - 8. Suppose a*r = -4*n - n + 29, -3*n + 5*r + 5 = 0. Let t = -5 + n. Put t, 5, 3 in ascending order.\nAnswer: t, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 2*t - 6. Let u(w) = w**2 - w - 7. Let f(j) = -4*d(j) + 5*u(j). Let n be (60\/4)\/((-6)\/4). Is f(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 6*k + 1)*(-2 + 0 + 3 + (-5 + 3 + 0)*(1 + 8 - 14))*(0 - 3 - 4).\nAnswer: 462*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - 56\/7 - (-4 - 15). Solve c*v - 8 = 10*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/36 and -91\/182408.\nAnswer: 1641672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 29 = 4*j, 3*n + 2 = j + 6. Suppose k - 2*k - 233 = -n*x, -5*x + 3*k + 395 = 0. Is 22 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -48979 and -0.04?\nAnswer: 1959.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7 + -9)\/4*0 - (0 - -2). What is the third smallest value in -5, j, 225, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3165 by 1055.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 + 13. Let w = o + 16. Suppose 1 = -a, -w*v - 61 + 212 = 4*a. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 - 58*i - 33. Let m be j(30). Suppose 0*f = 2*f - 72. Let s = f - m. Solve 2*k + s = -k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n**2 + 16*n**2 - 10*n**2. Let k(f) = 3*f - 2*f - 5*f. What is k(y(j))?\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -d**7\/70 - d**6\/40 - 2*d**2 + 10. Let j(i) be the second derivative of w(i). Solve j(c) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o - 16. Let t(d) = -d + 17. Let j(n) = 3*t(n) + 2*u(n). Let s be 1*((-1 - 5 - -12) + 11). What is j(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720) - (sqrt(720) - ((-1 + sqrt(720) + 4 - sqrt(720)) + sqrt(720))).\nAnswer: 3 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-7 - (-7 + 3)) + 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 1\/48, 0.5?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**5 - 2892*s**4 + 2896*s**3 = 0. Calculate s.\nAnswer: -724, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + 2*4*((sqrt(1573) - (-3 + sqrt(1573) + 3)) + 0))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12, -38, -102, -222, -416, -702?\n\"Answer: -3*y**3 - y**2 - 2*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**2 - 6*g**2 + 2 + 4*g**2 - 5*g. Let f be v(5). Suppose y = -f*s + 2, -4*s - 32 = -4*y + 3*y. Calculate the greatest common divisor of y and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*r**3 - 50*r**3 - 41*r**3 - 2 - 2*r + 141*r**3 - 78*r**2 to the form i*r**3 + x*r**2 + y + p*r and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0*r - 3*z - 1541151863 = 0, 0 = 5*r + 3*z - 3852879668. Suppose 11*n + r - 2187375933 = 0. What is n rounded to the nearest one million?\nAnswer: 129000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -122 less than -27305\/224?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, m: 2, k: 1, e: 2, j: 1}. Give prob of sequence ekm.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 640, -15, 33 in decreasing order.\nAnswer: 640, 33, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -150478 rounded to the nearest 1000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 - 30. Let i = c + 11. Does 16 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -289*n - 495. List the prime factors of a(-7).\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*a + 6219 + 20994 = -243*a + 8152 for a.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - (12 + (-4 - 2) + 4 + -5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -2*l**2 - 2*l + 1. Let u = -16 + 18. Suppose 3*n - u = -5*x, n = -3*x - 3*n + 10. Calculate a(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 6 = 3*j, -281*m + j = -276*m - 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 4*g - 7, -4*g - 4*t + 2 = -g. Let v = g + 3. What is the remainder when 8 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v - 7. Let s be f(-6). Let g be s + 4 - (-1)\/(-1). Let c = 4 - g. Solve 0 = 2*y + c + 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f + f + 0*f)*(0 + 0 - 2) - 17*f + 2*f + f + (18 - 13 + 15)*(-2 - 3 + 3)*(3*f - 3*f - f) as g + w*f and give w.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10579*m**4 + 1 - 10571*m**4 + 30 + (0 - m**3 + 0)*(0 - m + 0).\nAnswer: 9*m**4 + 31","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -17*j**4\/12 - 108*j**2 + 2. Let u(m) = 16*m**2. What is u(r(b))?\nAnswer: 18496*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12474 and 6.\nAnswer: 12474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 7*o**2 + 64 - 130 + 58 - 15*o - 8*o**2. Let z be c(-14). What is the closest to 1\/3 in -3\/4, 1, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 + 1042?\nAnswer: 1086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 262*18\/8 + 2. Let c = m + -550. Find the common denominator of c and 1\/3 - 326\/132.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(204)\/(sqrt(60)\/sqrt(125)).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -442*f - 227 wrt f?\nAnswer: -442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10513.77728 - -10443.78. Let m = i + 70. Round m to 4 decimal places.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -345*y - 104. Let d(z) = -517*z - 145. Let i(u) = -5*d(u) + 7*s(u). Let b(m) = 4*m. What is i(b(a))?\nAnswer: 680*a - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/15)\/(4*3\/60). Let f = -3 - -2.8. What is the nearest to f in -3\/8, -5, a?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-594)\/165 - (-4)\/(-10). Let i be (1 - h - 6) + -1. Suppose -3*a = -0 - 6. Sort -4, i, a in ascending order.\nAnswer: -4, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263030396 a multiple of 958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-8)\/(-60)*((-693)\/(-22))\/(-21)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**3 - 2*l**2 - 1. Let w(n) = n**3 + n - 1. Let b(a) = s(a) + 3*w(a). Calculate the remainder when b(5) is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27\/4 or -13777904?\nAnswer: -13777904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.13 rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1259836152 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6058359471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0)*(2*l**2 - 8*l**2 + l**2)*(-2*l**3 + l**3 + 2*l**3).\nAnswer: 10*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -33*j - 4424. Determine t(-133).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 136 = -8*z. Let t = z - 31. Let v(h) = -h**3 + 3*h**2 + 4*h - 1. Let b be v(3). Solve 5*y + 16 + 19 = 4*g, -b = -4*g - t*y for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2059 and 1589335?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = -7*x + 2*x - 5*v, 5*v = 3*x - 120. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110001110100 (base 2) in base 16?\nAnswer: -c74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -t - 7, -4*l = 4*t - l + 80. Let c = t - -30. What is the remainder when 18 is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -101*f**3*u + 2288*f**3 - 2*f**2*u - 111*f**2 + 237*f*u + 2*f - 2*u wrt f.\nAnswer: -606*u + 13728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-88)\/(-33))\/((-30)\/(-9) + 0)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 9*n**2 + 4*n + 4. Is g(-2) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (9 - 9 - 3). Put -3, l, 53, -1 in ascending order.\nAnswer: -3, -1, l, 53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a year in months?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 182 and 1781?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 - 0 - (17 + -14). Suppose 2*f - 25 = o*f - 5*h, 2*f - 3*h = -19. Which is the closest to 0.1? (a) -10 (b) 1\/3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.882 - 0.118. Let r be (2\/4)\/((-1)\/(-8)). Which is the second smallest value? (a) f (b) 2\/5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8542000 to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -34500 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49.47 + 50. Let j = m + -0.52999961. Round j to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 896.326 to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -51*c**2 + 5*c + 26. Let l(q) = -q**2 - 5*q - 11. Let z be l(0). Let n be u(z). Round n to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7*(27\/21 + -1). Suppose 0*s = i*s - 1340000. What is s rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6016771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 66.9 - 72. Let i = 0.32 + -7.52. Let o = x - i. What is o rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z - 37. Let w(j) = j - 9. Let s(b) = -2*p(b) + 9*w(b). Let g = 46 + -44. Suppose 0 = g*d + 3 + 3. What is s(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h. Let q(o) = 2*o - 1. Let v(r) = -3*p(r) + 2*q(r). Suppose 40*b = 45*b - 10. Calculate v(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -159.65659092114 and -17?\nAnswer: 142.65659092114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, t: 4}. Give prob of picking 2 r.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-18 + 11) - (-9 + 1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of q**4\/4 + 3*q**3 + 14*q. Let m be n(-6). Suppose 3*o + 2*b = -b + 129, -3*o - 5*b + 129 = m. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 2*l + 2. What is the lowest common multiple of 2 and i(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 18 = -2*q + 13, -y = -5*q + 10. Suppose 0 = -0*s + s. Let c be s + -1 + 3\/q. Which is bigger: 2 or c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-6)\/(-15) + 3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2041169.68 to the nearest 10000.\nAnswer: -2040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 3*c**2 + 0*c**2)*(-1935*c**3 + 980*c**3 + 820*c**3).\nAnswer: -270*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**4\/15 + 122*z**3\/3 - 806*z**2\/5 + 3014*z\/15 - 1204\/15 = 0.\nAnswer: 1, 2, 301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66755 by 713.\nAnswer: -66755\/713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 2*z**2 - z + 4. Let h be j(0). Suppose 0 = 4*x - h*t - 124, t + 2 = -3. Calculate the greatest common factor of x and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 22, -2, 2 in descending order.\nAnswer: 24, 22, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11709082961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -3601\nAnswer: 2\/3601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-3)\/(-18))\/(2\/(-15)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 440 and 206536.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24645, -24643, -24641, -24639?\nAnswer: -24637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10\/13 + 4\/39. Let q = 36259 + -36183. Is q equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(63)*-4)**2.\nAnswer: 120*sqrt(7) + 1033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.43 + 0.19. Let q = w + -0.32. Let s = 0.3 + -0.6. What is the nearest to -0.4 in -2\/13, q, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*r**4 + 26*r**2 + 565*r?\nAnswer: 228*r**2 + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -222*w**2 - 3 + 2 - 12*w - 1 - 2 + 221*w**2. Let c(p) = -5*p + 13. Let o be c(5). Determine t(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 114, 119, 124?\n\"Answer: 5*m + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + -65 + 31 + 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.8 - 3.8. Which is the closest to 0.2? (a) -4 (b) -1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -12*y**2 + 11*y + 5. Let h(o) = 7*o**2 - 6*o - 2. Calculate -4*b(i) - 7*h(i).\nAnswer: -i**2 - 2*i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8430239 + 12977239. Round u to the nearest 100000.\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*-12*1*33\/(11319\/(-196))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14555780333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3915 and 42630?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/12*-3)\/((-10)\/160)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - (-6)\/(-8)) + 35\/20. What is the units digit of (7\/b)\/((-2)\/(-52))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17764570.\nAnswer: 2, 5, 1776457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1 + 4 + (2 + sqrt(1100) + -1)**2 + 5) + 5)*5.\nAnswer: -22155 - 400*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand i - 3*i + i + 2 - 2 - 2*i + (5 - 3 - 1)*(4 + 2*i - 4) - i + 4*i - 2*i + 3*i - 4*i - i + 0*i + i - 3*i + i + 0*i - 3*i + 678982 + 3262*i - 678982.\nAnswer: 3256*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -11895*b**3 - 11*b. Let k(o) = -7933*o**3 - 7*o. What is 8*k(c) - 5*x(c)?\nAnswer: -3989*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-3) + (-1400)\/(-30) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -327, -648, -969?\nAnswer: -1290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 542 + -554. What is the remainder when 346 is divided by 50\/(-8)*(90 + 6)\/f?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13300785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1394087 divided by 239.\nAnswer: -5833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -57\/35986046 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 5 - 10*n**2 - 2*n - 2 - 4. Suppose 2*j = -2 - 2. Let m = -3 - j. Calculate u(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 11:56 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*r - 16. Let d(v) = v**3 + 4*v**2 + 2*v + 1. Let u be d(r). Suppose -2*b + u = 2. What is the closest to b in 2, 2\/13, 0.1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 312726 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 652422?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 37130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77785887 is divided by 1365?\nAnswer: 1362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1730.662641 rounded to one dp?\nAnswer: 1730.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 146 + -137. Solve -5*x = 3*b + 21, 0 = 5*x - 2*b - b + t for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3289 and 253.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4, 2\/3, -113\/24, 6, -0.25, 0.1?\nAnswer: -113\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**2 - 2514*w + 12*w**2 + 5 - 4 + 2514*w. Let u(h) = 4*h. Calculate i(u(l)).\nAnswer: 240*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -476 = 14*n - 588 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3351333, 6702645, 10053957, 13405269?\n\"Answer: 3351312*q + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - 3. Let x = -4 - n. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*w - 0*w, 0 = -3*u + 4*w + 23. What is the remainder when u is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 331*o**2 - 4*o + 2. Let x(j) = -1657*j**2 + 22*j - 11. Calculate -22*w(q) - 4*x(q).\nAnswer: -654*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + -1 - (-6 - -6). Let s(j) = 3*j**2 + 3*j + 3. Let w be s(r). Calculate the highest common factor of w and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -26 + (-82 - -109)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(-5)\/20 - 15\/(-2). Solve -4*q + g = 5*r + 44, 5*r - 4*q + 13 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**5\/2 - o**4 - 3*o**3\/2.\nAnswer: o**3*(o - 3)*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-24)\/9)\/((-4)\/54). Let r be 760\/8 + (-5)\/1. Calculate the highest common factor of r and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -4493*t**4\/8 + 8099*t**2. Let o(r) = r. Calculate o(x(w)).\nAnswer: -13479*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-452532.\nAnswer: 135759.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i + 17. Let d be z(-3). Let b(h) = 3*h - 42. Let x be b(d). Calculate the highest common divisor of x and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3455.775 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 630666 or 630672?\nAnswer: 630672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 94246 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -929509700 rounded to the nearest one hundred thousand?\nAnswer: -929500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/sqrt(3))**2 + 5 - (-3 + sqrt(6)\/sqrt(2) + sqrt(3)).\nAnswer: -2*sqrt(3) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 9.6. Let c = 3.2 + y. Sort -2, c, 2\/7.\nAnswer: -2, c, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-2\/3)*w*w*w\/w**(4\/7)*w)**(-1\/11) assuming w is positive.\nAnswer: w**(-107\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 + 0.2. Let f(u) = 4*u**2 + 37*u. Let k be f(-9). Let g be 3\/k*18\/(-12). What is the nearest to s in g, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -2) + 7 + -9\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18837 and 189?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3117?\nAnswer: 3, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -175*f + 6428 - 2228 for f.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2937688083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 11:09 AM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1479.635392 to one dp.\nAnswer: -1479.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**2 - 13*f + 979. Determine h(-15).\nAnswer: 499","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -419 - 31114978032\nAnswer: -31114978451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*q + 159*q + 21 + 2.\nAnswer: 113*q + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2 + m)*(15 + 14 + 10).\nAnswer: 39*m + 78","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 50, 0.4, -28, 15?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154 = -10*f - 12*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 6*w + 8. Let q = w + 13. Solve 0 = 4*b + r - 5 + 10, r + q = 5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1731*v**2 - 2 + 2 + 1679*v**2.\nAnswer: -52*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-30))\/(-1)*1\/(-2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 17.92494mg?\nAnswer: 0.01792494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14807 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -30*m + 9. Let d be u(1). Let t be (-1)\/3 - (-14)\/d - 0. Which is bigger: t or 2\/165?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 37313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -123876129, -247752264, -371628399, -495504534, -619380669, -743256804?\n\"Answer: -123876135*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 5. Suppose m - 15 = 4*k. Let d(a) = 2*a**3 + 3*a**2 + 3*a - 3. Let p(b) = 3*b**3 + 5*b**2 + 5*b - 5. Let u = -5591 - -5596. Give k*p(c) + u*d(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -28264 - 24385187?\nAnswer: -24413451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -3. Let n = o - 2.8. Let k = 0.6 + n. Sort k, 1\/4, 5 in descending order.\nAnswer: 5, 1\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40722 divided by -1851.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*d**3 + 338122*d**2 - 6457603?\nAnswer: -12*d**2 + 676244*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - f**2 + 0*f + (2*f + 3*f - 3*f)*(-2*f + f - f) - f**2 - 2*f**2 + 6*f**2)*(-6 + 3 + 0)*(-25 + 20 + 108).\nAnswer: 618*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -7. Let d = l + -7.2. Let q = 357 + -352. Which is the closest to d? (a) -2 (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000183599 to 6 dps.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of 13\/12*g**4 + 0 + 0*g**2 + 0*g**5 - 25*g + 0*g**3 - 31\/30*g**6. Find the third derivative of b(u) wrt u.\nAnswer: -744*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 3 = 4*z. Let g be (-1)\/1 - -2 - z. Find the third derivative of -a**g + 4*a**4 + 0*a**4 + 0*a**4 + a**2 wrt a.\nAnswer: 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000044296 rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33515*b + 100958 = -25749*b for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(8)*-1 + -4 - (5*(sqrt(2) - sqrt(8)\/sqrt(4)*1 - (sqrt(2) - 4*(sqrt(2) - sqrt(2)*1))))**2.\nAnswer: -52 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 18*q - 0. Calculate the lowest common multiple of 101 and q.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 4*w + 13 + 15, w - 20 = -4*s. Suppose -u - 11 = -s*a, 5*a - u = -0*u + 14. Suppose -a*o = -97 - 59. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -5*b**7\/7 + b**6\/6 - 27*b**4 - b**3\/3 - 59*b**2 + 4*b + 2627. Find the third derivative of a(w) wrt w.\nAnswer: -600*w**3 + 60*w**2 - 648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 greater than 4002?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -94658.3 and 1395?\nAnswer: 96053.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/8, 3\/5, -0.5, -0.07, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3733, 4, -114, 5.\nAnswer: -114, -4, 4, 5, 3733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2487 - -7397\/3. Find the common denominator of -89\/30 and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 20666 = -5*j + 20627, 2*b + 4*j + 18 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/4*(-30)\/54*-6. Suppose y*h = -7*x + 4*x + 23, -4*x + 3*h = -21. Suppose 0 = -5*d - x*m + 10*m + 330, 5 = -m. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -5a0a81c?\nAnswer: 5a0a817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 25*h**2 + 19 + 23*h - 23*h**2 - 2. Let l be a(-10). Let u = 13 + l. Let b(z) = z**2 - 8. Give b(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/36 and (4 + 0 - 1)*287\/4592.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55.2 - -112.96. Let n = 57 - h. Let p = -2.24 + n. Which is the third smallest value? (a) 1\/8 (b) 5\/3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 55, 61?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 at most 4400\/629?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/5))**(-46))**(20\/11) assuming j is positive.\nAnswer: j**(-368\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 25 = -3*q - 2*q, q + 4*j = 5. Is q equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270 = -2*j + 256 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 4*f**2 + 3*f. Let u be b(3). Suppose 4*j = j + u. Calculate the remainder when 44 is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = 7*z + 127. Let k = 4 + -4. Put 6, k, z in descending order.\nAnswer: 6, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 638 + -304. Is 334 at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1777, -3573, -5369, -7165?\n\"Answer: -1796*o + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.6789899us in days?\nAnswer: 0.00000000029721053125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x**3 + 17*x - 20 - 3*x - 18*x**3 + 65*x**2 + 17.\nAnswer: -13*x**3 + 65*x**2 + 14*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -5*d + 7. Let m(y) = y. Calculate f(z) + 4*m(z).\nAnswer: -z + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.173 + 263369.\nAnswer: 263371.173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3536 divided by 221\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 114221 + 10?\nAnswer: 114231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*f**2 - 130*f**2 + 360*f**2 + 324*f**2 to the form x*f + w*f**2 + h and give w.\nAnswer: 548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65412 and 35787.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**3 + 96*f - 96*f + (3*f - 3*f + f**2)*(-3*f + 4*f - 2*f) - 3*f**3 + 0*f**3 + 5*f**3 - 4*f**3 + 0*f**3 + 2*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = 3*w - 29. Let r = -160\/9 - w. Which is the second smallest value? (a) -0.3 (b) r (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*r = -91*r - 216 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -972*n + 9861 = 1292*n - 21973 + 4666 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1345*t + 820*t - 1080*t to y + c*t and give c.\nAnswer: -1605","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21731 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-3)*(-6)\/(-4). Suppose o + a*j = -23, -2*o + o - 11 = 2*j. Suppose -5*z = -4*b - 40, -5*b - 2 = 3*z + 11. Put z, -1, o in descending order.\nAnswer: z, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 2) in base 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (18 + -21 + -1) - 17.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.158535ml to litres.\nAnswer: 0.001158535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 3\/12)\/((-567)\/504). Let m = -24 - -34. Is m less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wwwlwwww.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48 - -20. Let l be 8\/h - 74\/(-14). Solve 3*v = -3*p + 27, 0 = 2*p - l*v + 6 + 4 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -29*l - 1. Let b(y) = 30*y + 1. Determine 3*b(v) + 4*o(v).\nAnswer: -26*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*69.6.\nAnswer: 34.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13563)\/1507)\/((-2)\/((-10)\/(-5)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {v: 2, f: 4, q: 10}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 823953089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*q - 39*q + 476 = -97*q for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yybyyyyyyyb. What is prob of picking 4 y?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65 - 10. Suppose -4*c - b = -11. Put -1, c, 2 in decreasing order.\nAnswer: 2, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -0.38237.\nAnswer: 0.114711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of r**5\/20 - r**4 + r**3\/6 + 5*r**2\/2 - 129*r. Suppose -3*a = -27 - 9. Let v be b(a). Solve -4*d + 5 = v for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1543446247 to the nearest integer?\nAnswer: 1156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q + 3. Let p be k(-1). Let z be (p\/(-6))\/(11\/(-66)). Suppose t - 34 = -z. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - m = -15, f - 9 = 2*f + 5*m. What is the second derivative of -f*h - 21*h**5 + 12*h**5 + 12*h**5 wrt h?\nAnswer: 60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 133.8 - 156.16. Let v = m + 13. Let o = v - 1.54. What is o rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 333 - 2995\/9. Sort 4, u, -5, 1.1.\nAnswer: -5, u, 1.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, j: 1, h: 1, i: 2}. Give prob of picking 1 z and 1 j.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 15*h + 21. Let o be c(-14). Let x be 19*o\/(14\/8). Suppose 5*p = 10, 0 = -0*t + t + 3*p - x. What are the prime factors of t?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 17*j**2 - 14*j + 7. Does 29 divide w(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 1077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x + 1. Let q(d) = 24*d - 26. Let a(t) = q(t) + 10*z(t). Let k be a(7). Let h be k\/16 + (-3)\/24. Which is smaller: 4 or h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -513 + 515. Sort z, -0.01, 4\/7 in descending order.\nAnswer: z, 4\/7, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15862 - 7686 - 6374)*(4*n**4 - 2*n**4 + 0*n**4).\nAnswer: 3604*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 2, 5, -37, -4, 14 in descending order.\nAnswer: 39, 14, 5, 2, -4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a337 (base 13) in base 10?\nAnswer: -51084","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - v + 672. Does 26 divide p(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1005 divide 15904868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 23394510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37315 = -4*a + 5*u - 37379, 5*a - 5*u = -75 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 17090.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -487*l + 2056 = -3301 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 9:30 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 3*x - 0*x + t, 2*t - 6 = 0. Calculate the highest common divisor of 143 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 1. Let i(f) = 2*f**2 - 8*f - 14. What is -i(g) - 8*m(g)?\nAnswer: -2*g**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8305530 and 3795?\nAnswer: 91360830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 10*v = 15. Suppose 5*s = 2*s - i - 88, 0 = -2*i - 8. Let h be ((-51)\/(-68))\/(v\/s). Is h greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -7*r + 45, 83915*r = 83914*r - b + 63 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -131*c + 28*c + 797 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(875) + sqrt(875)*-1 + sqrt(875) - sqrt(35))\/(sqrt(63)\/sqrt(144)) + (sqrt(5) - (sqrt(100)\/sqrt(5))\/sqrt(4)) + sqrt(1600)\/sqrt(5).\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b79 + -41a?\nAnswer: -1296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -7, 9, 0 in ascending order.\nAnswer: -7, -4, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7199 - 6820.3. Let j = i + -407.01. Round j to the nearest integer.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22536 and 2977272?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 125594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00595297109 to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75 or 82?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 2. Let c(a) = -a**3 - 12*a**2 + 2*a - 4. Let k be c(-12). Let q be (-8)\/k - (-216)\/(-609). Which is greater: r or q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -5*y**2 + 4. Suppose 4*m - 8 = -591*g + 589*g, 0 = m + 2*g - 20. Let q(a) = 3 + 11*a**2 - 4 - 7. Determine m*q(f) - 9*k(f).\nAnswer: f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30192*i**5 + 13*i**2 - 197610*i - 8.\nAnswer: 603840*i**3 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.032 - -29.032. Let s = -7 + q. Let r = -22.03 + s. Round r to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 20\/(-24)*16\/(-10). What is the biggest value in 2, 0, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 9\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 7.134.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5828, -46636, -157416, -373160, -728860?\n\"Answer: -5832*u**3 + 6*u**2 - 2*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + 2*i - 4*i + 3*i + 3*i + 2*i + 0 + 0 + (2*i - 6*i + 3*i)*(3 - 2 + 0) - 4*i - i + 3*i + 3 + 137787*i - 137161*i - 2 + 2 as m + u*i and give u.\nAnswer: 629","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 225 and 3469057689.1.\nAnswer: 3469057914.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -321 - 93. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bssuquuqu. Give prob of picking 1 s and 2 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 8 - 2. Let a be (-10)\/n*(-1 - -2). Suppose 3*v = a*v. Solve i - 4*p = -9, -5*i + 1 = -v*i + 3*p for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19518566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 82*a - 548. What is the tens digit of p(14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 + 78*m - 315.\nAnswer: -3*(m - 21)*(m - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -533*s + 1 = -528*s - 4*t, -5*s + 5*t = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.395, -13, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2413101 (base 9) in base 4?\nAnswer: -10333110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-399)\/285)\/(497\/(-10))?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 471696521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 476435 > -0.49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 742642 - 16?\nAnswer: 742624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + j**2 + 37. Let o be w(0). Suppose 8*z - 18 - 22 = 0. Suppose 2*f + 3*u = -9, f + z*u = 5*f - o. What is the least common multiple of f and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16.82 - -18.77. Let k = -21.74 + 23. Let f = d - k. What is f rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1573.5582 rounded to zero dps?\nAnswer: -1574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -119*l**2. Let n(k) = -10*k + 7720. Determine n(a(o)).\nAnswer: 1190*o**2 + 7720","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 137 + -143. What is the remainder when ((10 - 5) + -3)*(-219)\/n is divided by 27?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 16 = 2*v, a = -4*v + 2*v. Let t = 6 - v. Suppose t*w - y - 1337 = 0, -w - 2*w - 4*y = -1017. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -816f (base 16) to base 15\nAnswer: -9c40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d - d**3 - 6*d - 22*d.\nAnswer: -d**3 - 30*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 8 + 4*i + 0.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6016, -11743, -17470, -23197, -28924?\n\"Answer: -5727*z - 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10, -8, -44, -104, -194, -320, -488?\n\"Answer: -t**3 - 3*t**2 - 2*t + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/3)\/o)**6\/(o**(2\/13)\/o**(5\/4)))**(-45) assuming o is positive.\nAnswer: o**(20835\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 46 + 2 - (9 + -7). Suppose 4*j + g = 5*p, -15 = 3*p - 2*j - 43. Find the common denominator of 4\/(2\/(-62)*p) and -65\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33055266 and 268742.\nAnswer: 33055266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 9:11 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/1595410 and -46\/3988525.\nAnswer: 7977050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/84*3\/(-2).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -160, -176, -218, -298, -428, -620?\nAnswer: -886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.58 less than 0.07642712?\nAnswer: -0.50357288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(60)\/(sqrt(48)\/sqrt(4)) + 4 + sqrt(125)*-3*4 + -4.\nAnswer: -59*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1249452182, -1249452181, -1249452180?\nAnswer: -1249452179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1616231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - (-1 - -4))*-3. Let u(q) = q**3 - 4*q**2 - 11*q - 17. Let s(f) = -f**3 + 3*f**2 + 22*f + 33. Let t(j) = 2*s(j) + 5*u(j). Is t(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -143033\nAnswer: 14303.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7578 divided by 3?\nAnswer: -2526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3640, -6, -5 in ascending order.\nAnswer: -3640, -6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**4 - 695*g**3 - 28975*g**2 - 316285*g.\nAnswer: -5*g*(g + 17)*(g + 61)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -234 divided by 234\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) 0.2 (c) 1\/3 (d) 1\/6 (e) -43 (f) 11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 10:08 PM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 463.0343 and 3.\nAnswer: 1389.1029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*k + 3*c, 0 = -4*k + c + 3*c + 16. Solve k - 4 = -2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/453 in 0, -2\/11, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r. Let y(t) be the third derivative of -t**6\/120 - 13*t**3\/6 + 10*t**2. Let p(u) be the first derivative of y(u). Determine b(p(j)).\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 640, 791, 1028, 1357, 1784, 2315?\n\"Answer: c**3 + 37*c**2 + 33*c + 569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 537771271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 9958 = 3*j + 3*i, -j + 9956 = -i. What is j rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 12 = p, 5*u = 3*p + 4 - 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 8. Let u(c) = 3*c**i - 6*c**2 + c**3 + 1 + c - 3*c**3. Let r be u(-3). What is the greatest common factor of 10 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 3*p + 3 = 0. Let y = 0.352 - 0.352. Suppose -5*h = 5*n, n = -2*n - 5*h. Which is the nearest to n? (a) 2 (b) y (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/9)\/((-8)\/(-36)*12). Let l = 6.82 - 7.12. What is the closest to -0.5 in v, 1\/9, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -602*c + 864*c - 13100 for c.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g - 17. Let n be d(-5). Let a be (n\/32)\/((-1)\/(-1)). What is the second smallest value in 0, 4\/5, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence abhj when four letters picked without replacement from {j: 1, l: 1, a: 2, q: 2, h: 6, b: 6}?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 16*a**2 + a + 1. Let j be z(3). Find the second derivative of 152*r**2 - j + 73 + 75 - 146*r wrt r.\nAnswer: 304","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + (sqrt(475) - -1*(-3*sqrt(475) - sqrt(475))) + 1)**2.\nAnswer: 120*sqrt(19) + 17104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.141697 to two decimal places.\nAnswer: 8.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 200 - 199.936. What is u rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4\/3)*a)\/(a\/(a*a\/a**2))*((a\/(a**(3\/2)*a)*a)\/a)\/a*a*a\/(((a\/(a*a\/(a*a**1)))\/a*a)\/a)*(a**2\/(a*a*a**2))**42 assuming a is positive.\nAnswer: a**(-515\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f. Suppose -4*m = 9 - 37. Let b = m + -4. Give j(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -0.278?\nAnswer: -0.278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iioi when four letters picked without replacement from oiii?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/7))**(40\/7)*w**(-1\/4)*w*w**(-1) assuming w is positive.\nAnswer: w**(271\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*x**2\/3 + 908*x\/3 - 240 = 0. Calculate x.\nAnswer: 4\/5, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26603663 is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 648*q**2. Let m(u) = 196*u**2. Determine m(v(o)).\nAnswer: 82301184*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 39 = 7*c. Is c != -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jpjpbbbbppjbppbjbzpb. What is prob of sequence zpb?\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 191 - 63 - 120*z + 99*z. Determine v(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express c**2 + 1 + 7*c - 1 + 109*c**4 - 2*c**3 - 3 - 6*c as j*c + u*c**4 + n*c**3 + t*c**2 + f and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -891, -505, 625, 2871, 6605, 12199, 20025?\n\"Answer: 62*i**3 - 48*i - 905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -607 - -934. Let n = o - 502. Let p be 6\/((-30)\/n) - 2. Calculate the highest common divisor of 22 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*d**4 - 3 + 3 + 1 - 3*d**4 - 1 + (5*d + d - 5*d)*(-4*d**3 - 3*d**3 + 0*d**3) in the form n*d**2 + u*d**4 + c + b*d**3 + p*d and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 5*m = 10, -5*m + m = -5*o + 17 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-49.\nAnswer: -24.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*w + 205*w - 361*w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/5)*v*v)**(-24\/11)*v**(-4\/9)\/(v*v**(4\/7))*(v*v*v**0)**(19\/2)\/(v**(-3\/5)\/v**(2\/15)) assuming v is positive.\nAnswer: v**(43247\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -350 times 0.19?\nAnswer: -66.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*b - 4*j - 42 = 94*b, 2*b = 3*j - 3 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 780 and 6468?\nAnswer: 420420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 6, x: 3, c: 5, u: 3}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of 5\/12*d**4 - 2\/3*d**3 - 2\/15*d**5 + d**2 + 0 + 0*d + 1\/60*d**6. Suppose r(n) = 0. Calculate n.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1396 + -4189\/3. Let f = 1\/56 + -117\/280. Which is the closest to 2? (a) k (b) f (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 3. Calculate the common denominator of -17\/4 and (-3)\/20*26 + n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuttuttuutuu. What is prob of sequence ttu?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48298533 and 451?\nAnswer: 531283863","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*j**3 + 7 - 5 - 2 - 9*j wrt j.\nAnswer: 42*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -1716*m + 1709*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 131, 198, 265?\nAnswer: 332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 - 3) + 78 + -1.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 605607.6 months to decades.\nAnswer: 5046.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15607427053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**2 + 152*h + 1444 = 0. Calculate h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*x**2 - 1)*(-3 - x + 3) - 9183*x**2 - 4*x**3 + 9183*x**2.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -622*d + 618*d - 27 = -5*u, -2*d = 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 882*i**3\/11 - 10588*i**2\/11 + 31800*i\/11 - 144\/11.\nAnswer: 2*(i - 6)**2*(441*i - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000048242 rounded to seven dps?\nAnswer: -0.0000482","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 13*y + 7. Let h(j) = -4*j - 2. Let q = 4 - 10. Let z(r) = -3*r**2 + 814*r - 4797. Let s be z(6). Give q*l(v) + s*h(v).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 24*c + 19 - 10*c**2 - 14 - 5*c**2 + 13*c**2 to the form u*c + r + v*c**2 and give u.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4809985391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2028.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/9 (b) -48 (c) -0.2 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*c - 530*c + 23726800 = 88*c. What are the prime factors of c?\nAnswer: 2, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - 2 - -3 - (7 - 5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 78465.\nAnswer: -1\/15693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/1479 - -1483\/2958. What is the nearest to m in 2\/9, 1, 17, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 4*s + 172, -2*s = -o + 2*s + 68. Suppose -8*b + 8 = -o. What is the remainder when 175 is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3397*206.\nAnswer: 699782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.192465 centimeters in nanometers?\nAnswer: 51924650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14168 divided by -1012?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 495933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117958, 117960, 117962?\nAnswer: 117964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2 + ((sqrt(14)*1)\/sqrt(7) + sqrt(2) - sqrt(2)))*1.\nAnswer: -1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 197\/(-5) - (-3)\/(-5). What are the prime factors of (0 + -3)*l\/6?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 1\/397, 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 513 = -u + 274, u = -3*l + 747. Suppose 0 = 582*p - 276*p - 1224. Suppose p*w = -3*n + 761, -u = -4*w - n - n. Is w a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/4505 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and 24631470108091.\nAnswer: 24631470108091.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -3*j + 232. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*h + 5*h**2 + 5*h**2 - 64*h + 4*h - 14*h**2 + 26*h.\nAnswer: -4*h**2 - 10*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -1)*-3 + 1 + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**4\/3 - 823454*g**3\/3 + 84759149536*g**2\/3 + 84759972992*g\/3 = 0.\nAnswer: -1, 0, 205864","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -q**4\/12 - 10*q**2. Let s(w) = 5*w**2. What is s(t(h))?\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 24 = -2*i + 6*i, 0 = -4*p - i + 62. Is p a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*g - 0*g. Let f(p) = 5*p - 25. Let x(q) = 16*q - 76. Let u(v) = g*f(v) - 2*x(v). Calculate the remainder when 45 is divided by u(13).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.064 - 2.764. What is the closest to -0.1 in -8\/7, m, 5, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185842009955 + 0.092?\nAnswer: 185842009955.092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -38*p**2 + 21*p**3 + 38*p**2 - 3*p**3 + 5*p**3 + 0*p**3 + (-p + 3*p + 0*p)*(-2*p**2 + 0 + 0) - 3 - 2*p**3 + 3 - 3*p**3 + p**3 + 5*p**3.\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 + x**2 + x**2)*(0*x + 8*x**2 + 0*x) + (-4*x**2 + x**2 + x**2)*(-2*x**2 + 3*x**2 - 2*x**2).\nAnswer: -14*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 1:59 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 42\/(-5) + 8\/20. Let z(q) = -2*q**2 + 10*q. Let j(n) = n**2 - n. Let x(w) = v*j(w) - z(w). What is the second derivative of x(f) wrt f?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -5. Solve -4*c - k = 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 1b22?\nAnswer: -1b1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 45*b**3 + 9*b**2 + 5. Let u(r) = 22*r**3 + 4*r**2 + 2. Let p(d) = 30*d - 1041. Let a be p(35). Calculate a*u(k) - 4*z(k).\nAnswer: 18*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 8, -4, -15, 3, -139 in decreasing order.\nAnswer: 8, 3, -4, -5, -15, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of h**7\/2520 - 13*h**6\/720 - h**4\/8 - 13*h**2. Let l(j) be the second derivative of d(j). Does 9 divide l(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/25 and 14\/75045.\nAnswer: 375225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339*w = 348*w - 27 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 839*r**4 - 9*r**3 + 2*r**2 + 10755*r wrt r?\nAnswer: 20136*r - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -1094*d**3 - d**2 + 8*d + 675. Let h(i) = i**3 - i**2 + 4*i + 1. Let n(a) = 4*h(a) - 2*k(a). What is the third derivative of n(g) wrt g?\nAnswer: 13152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.05, 4, 0.3 in descending order.\nAnswer: 4, 3, 0.3, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17, -2, 9, 4, -29, -102, -227, -416?\n\"Answer: -2*g**3 + 10*g**2 - g - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -2*k + 31. What is the second derivative of 4*b - 23*b + 42*b**4 - 12*b + 0*b**3 + b**k wrt b?\nAnswer: 504*b**2 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*f + 114 = 19*f + 57*f. Which is smaller: 20\/1023 or f?\nAnswer: 20\/1023","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12 + -2 + 2)*(-4)\/(-3). Let s be 11875\/(-4) - 4\/x. Let d = s + 4350. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 4*i = 24, 4*c + 4*i - 22 = -30 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -6*d**4 + 3*d**3 - d. Let i(u) = 6*u**4 - 4*u**3 + u. Let r(k) = -4*a(k) - 3*i(k). What is the second derivative of r(j) wrt j?\nAnswer: 72*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 46 and 0.13.\nAnswer: 46.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.252 - 102.252. Let b = k + 102.0027. What is b rounded to 4 decimal places?\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + 3*b - 5*b)*(1206 - 263 - 140 + 411)*(3 - 3 + 1).\nAnswer: 1214*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13557663.\nAnswer: 3, 7, 71, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 - ((-124)\/24 + 0). Let b = d + -7\/18. Let k(c) = 3*c - 3. Let u be k(3). Which is bigger: b or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49\/135 + 1\/27. Solve 0*q + 2\/5*q**2 - z = 0 for q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56028, 56141, 56254, 56367, 56480, 56593?\nAnswer: 56706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/((-8)\/(-6))*-1. Let l = 0.3 - 0.2. Let s = -1729 - -1729.5. Sort s, b, l in ascending order.\nAnswer: b, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*f**6 - 20*f**2 + 3*f**5 - 2*f**2 - 3*f**5 wrt f.\nAnswer: -1320*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 20, 9, -20, -73?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 858 and 16?\nAnswer: 6864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 154*p + 621. Let g be a(-4). Suppose w = -2*y + 4, y - 2 = 2*w + w. Let j be 0*y*(-2)\/8. Put 1, g, j in ascending order.\nAnswer: j, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 - 195.21.\nAnswer: -195.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 2*y**2 + y + 4. Let f be b(3). Let i(h) = h - 7. Let r be i(-5). Let o be 47\/3 - 4\/r. Is o < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 12 = 2*q. Let g be -1*2\/q*0. Let o = 5.4 + -5. Which is the third smallest value? (a) o (b) -4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -150*s**2*v + s**2 - 63*s wrt v.\nAnswer: -150*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b - b + 9*b + 11. Suppose 2*g - 28 = -5*u, -4 = -2*g + 4. Let i be l(u). What is the highest common factor of 5 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/130 - -383\/910. Let t(y) be the first derivative of 2\/21*y**3 + 4\/7*y - 2 - c*y**2. Factor t(u).\nAnswer: 2*(u - 2)*(u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 5. Let y = -17 + -12. Let d = y + 28. What is the smallest value in 0, d, b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126277.\nAnswer: 197, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1317649.\nAnswer: 43, 30643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(h + 2*h + 0*h)*(h + 2*h**4 - h) + 5*h**5 - h**5 - h**5.\nAnswer: 9*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-9)\/21)\/1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3*x**4\/7 + 9*x**2\/7 - 6*x\/7 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -664.97 and -0.2.\nAnswer: -665.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t + 8. Suppose -3*f = 3*a - 0*a - 21, -5*a + 20 = 0. Let c(y) = y - 3. Let r(p) = f*n(p) + 8*c(p). Determine r(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*f - 22*f + r - 49, -f = 2*r - 18. Calculate the remainder when 93 is divided by f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (1 - 5) + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/8 + 1848952*w - 14791617\/8.\nAnswer: (w - 1)*(w + 14791617)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/3 - 592*n + 131424.\nAnswer: 2*(n - 444)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4162640664.\nAnswer: 2, 3, 7, 13, 101, 113, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcmdcdmdcfdddch. What is prob of sequence hm?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -611*-1.\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3687053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 545505 + -233?\nAnswer: 545232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(76)\/sqrt(4) + 2)**2 - ((sqrt(1539)*2)**2 + sqrt(19) - sqrt(19)).\nAnswer: -6076 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 10 + 4*h + 68 - 34.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = s + 4, s + m - 6 = -0*m. Let d be 0 - s - (-6)\/2. Suppose 5*p - d*p = 36. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 3121802?\nAnswer: -9\/3121802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 6*x**2 + 4*x - 1. What is the tens digit of l(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13790*c**2*w**2 + c**2 + 4*w**2 + 2049 wrt w.\nAnswer: -27580*c**2*w + 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-2)*-1*-4. Let l = 1 - y. What are the prime factors of ((-2)\/l)\/((-2)\/(-27))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -660, -661, -662?\n\"Answer: -f - 659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**2\/5 - 6484*x - 5655450 = 0. Calculate x.\nAnswer: -15285, -925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - l**2 + 3*l - 6. Let c(i) = -i**2 + i - 1. Let v(p) = 5*c(p) - j(p). Calculate v(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 740891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/(42159\/78)*-1.\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((-1)\/1)*((-104)\/6)\/(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ke when two letters picked without replacement from {s: 12, k: 1, e: 2, m: 4}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 9 and 35083\/4393 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70720 and 3520?\nAnswer: 777920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 + -7. Suppose 1 = h - 4, -j + 4*h = 30. Let q = j - z. What is the highest common factor of q and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-165034)\/4343 - (-21 - (3 - 3))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 2:48 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 1:57 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5238164 and 4588?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(4\/3)\/n)\/(n\/(n*n**(-13))))**46 assuming n is positive.\nAnswer: n**(-1748\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -14*g. Let j(l) = 57*l - 1221. Let y(m) = -m + 111. Let c(a) = 2*j(a) + 22*y(a). Calculate c(o(d)).\nAnswer: -1288*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-7 - -18) - 2 - -7\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(144) + 5*sqrt(144)*2)\/(6*(-3*sqrt(768) - sqrt(768)) - sqrt(768)))**2.\nAnswer: 363\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.2 - -0.8. Let x = -2 - -16. Let v = 11 - x. Sort -5, h, v in ascending order.\nAnswer: -5, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -13*t - 3. Let i be v(-3). Solve 0 = 5*p + 11 - i for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -544 divided by 34?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 63\/(-35) + 196\/20. Let k be 6\/(11\/8 - 1). Suppose -k + 56 = 2*r. Calculate the greatest common divisor of b and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 10*n**2 - 19*n - 15. Give b(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -536*g + 604*g = 612 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 750544279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84261365 divided by -86245.\nAnswer: -977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001101001101111010 (base 2) in base 6?\nAnswer: 10440134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3 = 12. Suppose j + 2*j + 24 = 0. Is x <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 + (22 - (5 - -13))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 427 (b) -2 (c) -3 (d) -112\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001202111 - 2120?\nAnswer: 1001122221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 1:57 PM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 1:24 AM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*u**2 - 22*u**2 + 29*u**2.\nAnswer: 33*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i - 2. Let v be o(4). Let p(y) be the third derivative of -y**5\/60 + 5*y**4\/8 + 7*y**3\/3 + 427*y**2. Is 10 a factor of p(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 15*p**2 - p + 22. Let b be z(15). Sort -5, -4, b, 4.\nAnswer: -5, -4, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191918906?\nAnswer: 2, 1051, 91303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -126 (base 7) to base 16.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 752361?\nAnswer: 3, 250787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - k - 27, -4*y - 4*k + 9 + 3 = 0. Suppose -y*t + 5*u = 3*u - 11, 2*t + 13 = -5*u. Solve -4*p + 11 = 4*x - t, 2*p - 3*x = -14 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 349340, 349342, 349344, 349346, 349348?\n\"Answer: 2*t + 349338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1823 - -1823.1137. Round s to two decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-10)*51\/((-1989)\/(-780)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + a - 4*a**2)*(-2*a + 2 - 2)*(15 + 1 - 56*a + 55*a).\nAnswer: -8*a**4 + 128*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (510\/15 - 10). Solve -3*m = 5*f, 0 = 23*m - d*m + 4*f + 22 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 6*t - 15. Suppose -4*k - 5*y = -2*y - 9, -t*k - 3 = -y. Solve k*n = 5*n - 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*k + 21288 = 19588 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 1:09 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 4:39 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 100 + -99.51. Let p = -0.09 + a. What is the biggest value in -2, 1\/2, p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 - -39. Factor c + 35*h + 2*h**3 + 20*h**2 + 2*h**3 - 3*h.\nAnswer: 4*(h + 1)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 0*q. Let r = -2 - -7. What is the closest to q in -0.5, -0.3, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349489 is divided by 314?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 20, -3*o = -6*o + 5*d + 82. Suppose 3*z - 8*k = -7*k + 25, -k = -4*z + o. Solve 4*h = z*h - 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-11))\/(-2 - -4*3\/12)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -73 - -69. What is the nearest to -3 in -0.2, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3 = 5*r, -4*r - r + 15 = -5*c. Solve r = -14*d + 62*d + 48 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(104) - (sqrt(104) + 2*sqrt(104)*-5))*-4)\/((4*sqrt(32)\/sqrt(2) - sqrt(16))\/sqrt(288)).\nAnswer: -160*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -6*m - 13. Let s(k) = 3. What is -2*q(g) - 6*s(g)?\nAnswer: 12*g + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**2 - 124690*g + 3886899025 = 0.\nAnswer: 62345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -195, 7, 2, 111, -5, 0 in ascending order.\nAnswer: -195, -5, 0, 2, 7, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (0 - -2) + (-34)\/12.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 108b04 + -316?\nAnswer: 1087aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2998 + -2124. Suppose 3*h - 4*h = -3*f - 1317, -2*h = -2*f - g. Round f to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -98 - -198. Suppose 15 = 5*g + 3*h, -3*h + 6 = 2*g - 6*h. Suppose 0 = 4*p + g*b - j, 82 = 5*p - 2*b - 20. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6835710\/9036 + (-3)\/(3\/2). Let f = -2\/753 - i. Let u = f + 725. Calculate the common denominator of -95\/14 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lj when two letters picked without replacement from lygwyjz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 11:16 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -8739 - 3762*u + 8739. Let h(d) = d**2. Calculate h(l(o)).\nAnswer: 14152644*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gm when two letters picked without replacement from {g: 1, m: 14, v: 1}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.05 + -4.05. Suppose -4*v + 414*z = 418*z, -4*v - 3*z = -2. Which is the smallest value? (a) v (b) k (c) 0.3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3320*c**2*v**3 + 2*c**2*z**2 - c**2*z - 2*c*v**3*z**2 - 171*c*v*z + c*v + 21*c*z**2 wrt v?\nAnswer: -19920*c**2*v - 12*c*v*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -57192\/213881 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 2:17 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.1 * -31275.\nAnswer: 190777.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (222\/(-120))\/((-46)\/(-248) + 82\/1271)\nAnswer: -37\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-305)\/(-122))\/((-330)\/(-48)) - (-602)\/(-22)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 539 - 537. Let x(n) = -16*n**2 + 32*n**2 - 15*n**m. Suppose 0*p = 3*p + 153. Let g(t) = 8*t**2. Give p*x(l) + 6*g(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/147*(-324)\/(-11520)*32?\nAnswer: -3\/70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -504*x**2 - 166*x - 12 = 0.\nAnswer: -2\/9, -3\/28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2111183541 rounded to 4 dps?\nAnswer: -2.2111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 5) in base 10?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.02 - 1.98. Let o = -10.5 + 10. What is the third biggest value in b, 3\/5, o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - g + 3 = 0. Let c = 3 + 9. Suppose 0 = -4*n + c - 0. Sort g, 1, n.\nAnswer: g, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*z + 3 + 4*z + 27*z + 29*z.\nAnswer: 87*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 16 = -4*q, 106*q - 4 = -4*i + 102*q for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -399, -337, -263, -177?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -43.9018 from 2.827522.\nAnswer: 46.729322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 877 = -8*t - g, 3*g = -t + 295. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*i**5*u + 2*i**3*u + 21*i*u wrt i.\nAnswer: 320*i**3*u + 12*i*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3352 = -9*a + 24485. What are the prime factors of a?\nAnswer: 3, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 10}. Give prob of picking 4 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.073*0.279\nAnswer: 0.020367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*a - 21 = 93*a. Put 11, 0.5, a, 0.1 in increasing order.\nAnswer: a, 0.1, 0.5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -31 or -81?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -265 + 263. Which is smaller: -3\/2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.0423 - -0.0423. Is i != 0.0796?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36.7 - -36. Put 0, 1, b, 1\/7 in descending order.\nAnswer: 1, 1\/7, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -2, 66, 65, 31 in decreasing order.\nAnswer: 66, 65, 31, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 295, 447, 599?\nAnswer: 751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t**5 + 7*t**4 + 6*t**3 - 12*t**2 - 6*t - 6. Let z(s) = s**4 + s**3 - s - 1. Let d(h) = x(h) - 6*z(h). Find the third derivative of d(p) wrt p.\nAnswer: -240*p**2 + 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 + 74 + -57 - -101?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 974979 and 140081.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 8 - 24. Let z be 2\/l + 0 + (-9)\/12. Let g(m) = -m + 1. Calculate g(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -104 in 0.06, 4, 1\/5, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**3 + 40 - 4 - 17 - 19.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 5\/10199077?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/60 + (-1983)\/(-30) + -2. Let g be y\/48 - (-1)\/(-3). Solve 5*n - 9 = g for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101213 (base 4) in base 15?\nAnswer: -502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*y + 16001 - 16137. Solve -3*j - 19 = -y*o - 34, 4*o - 15 = -3*j for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6762761 to the nearest integer?\nAnswer: 2601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*h**3 + 11*h**3 - 15*h**3.\nAnswer: -15*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9680174 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = b - 210. Let r = -18 + b. Solve -6*k = -2*k + c - r, 2*c = 4*k - 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-6))\/((-1)\/(8\/2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 11 = -2*x, 1784*x + 2*o = 1786*x - 4 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2643*h - 31*h**2 + 2643*h)*(-8*h + 2*h**2 - 2 + 8*h).\nAnswer: -62*h**4 + 62*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4 + sqrt(2448) + -2 + sqrt(2448) + -2)**2.\nAnswer: -336*sqrt(17) + 9841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -0.21819\nAnswer: -0.21819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/64 of a meter?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -h**8\/84 - 2*h**6\/3 - 769*h**5\/30 + 37*h**2 - 1. Find the third derivative of b(w) wrt w.\nAnswer: -240*w**2 - 480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p**2. Let x be ((0\/9)\/12)\/((-9)\/(-3)). Let m(s) be the second derivative of 18*s + 1\/3*s**3 + 0 + x*s**2. Give m(k(t)).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169 is divided by 77.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-2)\/(-15) + (-5628)\/(-315) and 33?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7344158*r**3 + 2552*r**2 + 44*r + 10.\nAnswer: -44064948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4102856 divided by 167.\nAnswer: -24568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -19 and 21345.\nAnswer: 21326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 7*d**2 - 6*d + 7. Let l(m) = -m + 6. Let a be l(0). What is the remainder when 25 is divided by p(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 10:00 PM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((4 - -1)\/5)\/(2\/(-2)). Let o be 3\/((-6)\/b)*-1. Let m be ((-12)\/50)\/(9\/(-30)). Sort 0, m, o in decreasing order.\nAnswer: m, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -980 (base 14) to base 3\nAnswer: -2120111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3847960894 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cykkkcc. Give prob of sequence kkyc.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8309108 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(88\/(-121))*(-8)\/(-22). Let d(q) = -66*q + 39. Let p(t) = -5*t + 3. What is u*d(h) + 27*p(h)?\nAnswer: -3*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a = 7677 - 7300. Solve 16*b - a*b = -39 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 17846.2573 and -0.4.\nAnswer: 17845.8573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*u**4 - 18719*u**2 + 9799*u + 117 wrt u?\nAnswer: -36*u**2 - 37438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 304 - 288. Let m(t) = -t**3 - 8*t**2 + t + 11. Let o be m(-8). Suppose 0 = -o*z - z + 108. What is the remainder when z is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*m**2 - 662*m - 188 = 0. Calculate m.\nAnswer: -47, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -123.7 times -463?\nAnswer: 57273.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**5\/2 + 21*b**4 + 2642*b**3 - 184575*b**2 + 6317325*b\/2 - 2976750 = 0. Calculate b.\nAnswer: -84, 1, 35, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + 0*t + 2*t)*(-3 + 3*t**2 + 3 + (-2*t - 4 + 4)*(2*t - 6*t + 2*t) - 4*t**2 - t**2 + 4*t**2 + 0*t + 2*t**2 + 0*t).\nAnswer: -16*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 13, -1 in decreasing order.\nAnswer: 13, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (1 - 6) + -6 + 7\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 5 (c) 0.3 (d) 9 (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 3*n + 3. Let r be i(4). What is the hundreds digit of 0 + r + 337 + (-9 - -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -144 - -180. Find the second derivative of 0*r**5 - 16*r**5 - c*r**4 + 110*r + 32*r**4 wrt r.\nAnswer: -320*r**3 - 48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 1540?\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 165893?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1986*a**2 + 30*a + 2*a - 32*a.\nAnswer: -1986*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/94 and 27\/91?\nAnswer: 8554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 132\/(-144) - -2*3\/(-8)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3. Let y(d) = 1 + d - 3 + 0. Let v = 30 + -27. Suppose -v = -w - 5. Calculate w*u(r) + 3*y(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 32*x**2 + 151*x - 87. Determine c(-26).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13816?\nAnswer: 2, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4292, 8149, 12008, 15869?\n\"Answer: i**2 + 3854*i + 437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of l**2\/2 - 13*l - 8. Let f be v(15). What is the highest common divisor of 4 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/2 greater than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1147670 (base 8) to base 7\nAnswer: -2452205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 61 - 19. Let b(o) = o**2 - 9*o + 25. Let i be b(6). Let j be (4\/6)\/(i\/r). Solve j*y - 10 = -0*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 8*x - 7. Let o be f(-7). Suppose o*a - 48 = -3*a. Calculate the lowest common multiple of a and 3\/(6\/34) + 1.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, m: 7, p: 2, u: 3, f: 2, h: 1}. What is prob of picking 2 i and 2 m?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 10:19 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c + c**2 - 9 + 6*c + 9.\nAnswer: c**2 + 10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + -3 - 3) + (-2 - (5 + -4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9966 * 1.9.\nAnswer: 18935.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -3 - 5. Suppose l - a*n = n - 7, 4*n - 11 = l. What is the greatest common divisor of 45 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-3)\/((-72)\/186))\/(2\/96) is divided by 94.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -15\/2, -9, 378\/115, 1 in descending order.\nAnswer: 378\/115, 1, -3\/4, -15\/2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z + 9*r + 77 = 6*r - 19, 3*r = -6 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 316512+-2808\nAnswer: 313704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 187, 20, 4, -96 in increasing order.\nAnswer: -96, -3, 4, 20, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/112601 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 494 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*133.14602.\nAnswer: -66.57301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus 67190?\nAnswer: -67195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1943, 1948, 1955, 1964?\nAnswer: 1975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-1 - (0 - 7)). What is the third derivative of 5*r**6 - 3*r**y - 3*r**6 + r**2 + 0*r**2 wrt r?\nAnswer: -120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 88 times -4.96\nAnswer: -436.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49 and 21.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 377172 and 419080.\nAnswer: 3771720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 3*g + 5, 0*o + 4*g - 10 = -3*o. Let f be (-8)\/5 + 2 - 33\/(-55). Which is bigger: o or f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 972 a factor of 2235600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 5*u = -47715, 4*u - 21622 = -3*c + 7005. Is c a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 + 38*n + 496. Calculate the remainder when w(-38) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*2 + (4 - 3). Let p = -1.46 - -1.16. Let t = 0.3 + p. Which is the closest to t? (a) 0.5 (b) m (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43672*o**2 + 43705*o**2 - 87457*o**2 to h*o**2 + l*o + g and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4856\/(-12)*(-1)\/14. Let q = w + -123\/7. What is the common denominator of q and -1 - -2 - (-9)\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10169*l**2 + l + 4?\nAnswer: -20338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -8*p**3 + 6*p**2 + 6*p. Let k(b) = -b**3 + b**2 + b + 1. Let s(u) = 6*k(u) - n(u). What is the first derivative of s(f) wrt f?\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence asz when three letters picked without replacement from {z: 1, l: 1, a: 2, s: 1, g: 1, y: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5*n**2 + 1868*n + 108266. What is b(-51)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 431365 (base 7) to base 3\nAnswer: 10210211121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + g - 1. Let o(x) = -x**2 + 5*x - 104. Let m = -45 - -44. Let i(v) = m*o(v) + 2*n(v). List the prime factors of i(0).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 11121220120210?\nAnswer: 11121220120122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**2 + 607 - 607.\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -847606894.516 plus 0.0516?\nAnswer: -847606894.4644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 6:55 PM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzz when four letters picked without replacement from zzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2 = 2*r - 4, f - 3 = -r. Suppose -4*b = -4 - 0. Let k = -3 + 2. Sort r, b, k in descending order.\nAnswer: r, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6695 > -6726?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/33230515 and -13\/606?\nAnswer: 199383090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*v = -7*v + 1624, -3*q - 3*v = -4884. Suppose 0 = 3*o + 3*o - q. List the prime factors of o.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25599087.\nAnswer: 3, 31, 91753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12507 + -7173. Suppose 3*a = -4*a + v. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-50)*7966\/(-107541)?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.21 * 39.\nAnswer: -8.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(684) - (1 + sqrt(684))**2 - (sqrt(76) + 0)**2.\nAnswer: -761 - 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*v + 317 = 542 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 3\/37, 25, 1\/4, 121 in decreasing order.\nAnswer: 121, 25, 1\/4, 3\/37, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1823 * 982\nAnswer: 1790186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -115*i - 91. Let s be v(-1). Solve -a + 4*x - s = 0, 4*a + 3*x = 5*x - 26 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26198 is divided by 709.\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/(-28)*2 + (-1 + 0)\/(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**2 - 8*v + 1. Let s be q(5). Let r = -33 - s. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 243 + -243.3. Let p = 0.19 - 0.39. Let k = 0 + -3. Sort p, k, u in ascending order.\nAnswer: k, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -7*j + 40. Let r be t(-17). Suppose 17 = -2*y - r. Let p = 166 + y. List the prime factors of p.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5598 and 8034374?\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/28896620 and 27.\nAnswer: 28896620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t - 10. Let x(g) = 1706533*g. Give k(x(a)).\nAnswer: 3413066*a - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2736) + sqrt(2736) + 2 + 3*sqrt(2736)*3 + -5)**2.\nAnswer: -648*sqrt(19) + 221625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 + 5*p + 1. Suppose 2*l + 2*l = -16. What are the prime factors of x(l)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -778.365 rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a day in minutes?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -1285*s**3 - 4*s**2 - 31*s - 17. Is z(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 617263*z + 617259. Calculate f(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -0.4, 2, -9, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/1)\/((-1992)\/332).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 118b059 - 4?\nAnswer: 118b055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 11\/2 of a millennium?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*(-3)\/(-2)*240\/90. Is w + -12 - (-606)\/3 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36.7 + -34.7. Suppose d + 2 = -3. Let f = 1 + d. Sort c, f, -0.2 in descending order.\nAnswer: c, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.054 - -0.091. Let s = 72.963 + t. Let c = 72.9999857 - s. What is c rounded to 6 dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 5396.703km in centimeters?\nAnswer: 539670300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -567*v**2 + 162*v**2 + 166*v**2 + 241*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 37*u**2 - 851*u + 192. Let t(w) = -2*w**3 - 2*w**2 + 2*w + 2. What is the least common multiple of b(53) and t(-2)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17626349 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -17. Let h be (-2)\/(-12) - 4\/6. Let p = 4.944 - -0.056. What is the second biggest value in t, p, h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/215240 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 417 - 252. Suppose -q = o - 174, 0*o = -o + 2*q + c. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1295 + -1334 - (-72 + -2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -348 - 146 = -2*v. Calculate the highest common factor of v and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*p + 103 - 103 + (-4 + 5 - 15)*(p + p - 4*p) in the form s*p + w and give s.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23 + 780 - 129 + (-3 - 1 + 2)*(-3 + 4 + 0))*(-40*v - 24 + 24 + 10*v) + (v + 2 - 2)*(-1 - 2 + 1) to m + a*v and give a.\nAnswer: -18782","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51 by -1068012.\nAnswer: 17\/356004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -34*o - 7. Let s be v(2). Let y = s + 109. List the prime factors of y.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-8)*16\/(-6). Solve -j*h + 4 = -h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 11:20 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 4:20 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -11*t + 158. Suppose 27 - t = -k. Does 3 divide 28\/(-6)*36\/k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1142 - -1147. Solve 8 = k + z*l + 19, -k + 3*l = -13 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 445203215967?\nAnswer: -445203215966.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 7, -5, -3, -2\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-132)\/(-693))\/((-1)\/3).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 103595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/30*((-36)\/3)\/(-4)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o. Let m(q) = 5*q - 7. Let n(y) = y - 1. Suppose 0*v = -2*v + 4. Let z(t) = v*m(t) - 14*n(t). Determine w(z(c)).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/9)\/4*1*15*108\/(-108)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*z + 5*o, 2*z + o = 9. Suppose -z*h + 6 = -24. Suppose -3*f = -2*p - 5, h*f - f = 5*p + 5. Solve 2*u - u = v, -f*u = -2*v for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9225944 minutes to seconds.\nAnswer: 55.355664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - x**2 + 14*x + 12. Calculate g(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 757313 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = p - 0*p, 0 = -4*r + 4*p. Let z be (-35)\/(-25) - 3\/r. Let h = z - -147. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*y + 5*k + 3, -3*y + 19 = -k. Let w = y - 5. Are 3 and w unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y\/(y*y**(5\/14)))))\/y**(13\/4) assuming y is positive.\nAnswer: y**(-101\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1593, 3214, 4835, 6456, 8077, 9698?\nAnswer: 11319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**4 + 2*q**4 - 3*q**4 + (6 + 3 - 5)*(2*q - 3 + 3)*(-3*q**3 + 9*q**3 - 2*q**3).\nAnswer: 33*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -j - 5*x, 3*j = -3*x + 12. Let f be (-3 + 10\/4)\/(j\/3). Let s = -1 + -4. Which is the second smallest value? (a) 0.2 (b) f (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at most as big as 1.641?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.17 + -1.17. Let f = 59 + -61. What is the closest to m in 3\/8, -5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 1141.\nAnswer: 4564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-10))\/((-1)\/(-10)). Let z = y + 1. Let a be 3\/(z\/8*-2). Solve 0 = -a*s - s - 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 339*k**3 + 346*k**3 - 785*k**3 + k + 4*k**2.\nAnswer: -100*k**3 + 4*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -g**5\/24 - 7*g**4\/12 - g**3\/3 - 1. Let m(o) be the third derivative of f(o). What is the tens digit of m(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 2*u + 2. Let v(h) = 7*h**2 + 10*h + 10. Let m(y) = -20*n(y) + 4*v(y). Let z(g) = 9*g**2. Calculate m(z(s)).\nAnswer: 648*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 576748, 4613935, 15572004, 36911395, 72092548, 124575903, 197821900?\nAnswer: 295290979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8888, 8926, 8944, 8936, 8896, 8818, 8696, 8524?\n\"Answer: -y**3 - 4*y**2 + 57*y + 8836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -12*12\/(-16) - -1. Suppose 4*i = g + 10, l + 9 = 5*g + 3*i. Factor -10\/9*h**3 + 8\/9*h**4 + 0 + 4\/9*h**g + 0*h - 2\/9*h**5.\nAnswer: -2*h**2*(h - 2)*(h - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -52\/9 (b) 3 (c) 2 (d) -2 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of t**4\/4 + 2*t**3\/3 - t**2\/2 - 2*t + 2. Let s = 6 - 3. Suppose -3*o + 5*h - 16 = -0*h, s*h = 6. Determine c(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16185 times 20.797\nAnswer: 336599.445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 26046 divided by -8682\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaviaaaiva. What is prob of picking 1 i and 1 v?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.72 + 0.28. Let s = -7.08 + 0.08. Let r = 3 + s. Which is the closest to -0.1? (a) 0.4 (b) r (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q + 1. Let i be (-4 - 3\/(-3))*-1. Let z(k) = -k**3 + 2*k**2 + k + 4. Let a be z(i). Let v = a + 3. Let r(n) = 4*n - 3. Determine v*r(f) + 3*x(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 12. Calculate the remainder when 40 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/((-8)\/8))\/1)\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 33 = 9. Let k be 2\/3*126\/d. Suppose -4*o = 5*h - 1 - k, 3*h = 5*o - 10. Solve 4*r - o*r = -10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-24) + 63\/(-12). Let u be ((-50)\/4)\/(3\/18). Let q be h\/(u\/(-6)) - (-18)\/(-5). Which is the closest to 11? (a) -0.4 (b) q (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*m + 8*m. Let a be -6 - (2 + (m - 8)). Let i(j) = -3*j - 3. Let v(f) = 3*f - 3*f - 1 - 7*f - 6. Calculate a*v(x) + 5*i(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 3. Let y = -3 - o. Which is the closest to 1\/2? (a) y (b) -0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 3*w**2 - 4*w - 13. Let f be h(5). Suppose 5 + f = 2*y + 4*k, -5*k + 20 = 0. Solve y*n = -n + j - 13, j + 14 = -5*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1571.065 days to milliseconds.\nAnswer: 135740016000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/252*(-2 + 9).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 1.06. Let w = g + -2.94. Let d = w + 3.000009. What is d rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand n - 1 + 1 + n + n - 3*n + (0 + 6 - 3)*(-5*n + 2*n + 4*n) - n - 4 + 4 - 2*n - 7*n - n + (2 - 2 - n)*(-1 - 4 + 3) + 3*n + 2*n - 2*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3060.81 or -0.22?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 5*c**3 - 21*c**2 + 13*c - 33. Let h(x) = -3*x**3 + 14*x**2 - 9*x + 22. Let w(o) = -8*h(o) - 5*i(o). Determine w(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 15. Do v and 8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (13 - (4 - 3))\/((-2)\/69). What is n rounded to the nearest ten?\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 11:39 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yssh. What is prob of sequence yss?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**3 - 27*m**2 + 13*m - 13. Let r be a(-14). Let f be 442\/390 + (r - 34\/30). Let y(s) = -7*s**2 - 1. Calculate y(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = i + t, 4*i + 3*t = 7. Does 2\/43 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3313941769?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5*sqrt(500) - sqrt(20))\/(sqrt(100)*1).\nAnswer: -26*sqrt(5)\/5 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -8, 635, 0, 395 in increasing order.\nAnswer: -8, -1, 0, 395, 635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2943, 2952, 2961?\n\"Answer: 9*x + 2934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2083634 divided by -9602?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 - -74. Let d = -42 + 72. Let x = -18 + d. What is the least common multiple of x and q?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 182, 198, 218, 242, 270, 302, 338?\nAnswer: 378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 428 + 3*y - 865 - 2*y + 408. Let f be w(28). Which is the nearest to -2\/7? (a) 1\/9 (b) f (c) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-480)\/(-200))\/(9\/(-5970)). Which is smaller: -7966\/5 or r?\nAnswer: -7966\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81151.83um to meters.\nAnswer: 0.08115183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -1635*w + 9554. Give s(6).\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b + 11. What is the least common multiple of d(0) and 14*11\/(-242)*-11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of 0*x**4 + 0*x**5 - 3\/2*x**2 + 4 + 3\/2*x**3 - 2*x - 41\/14*x**7 + 0*x**6. What is the second derivative of d(q) wrt q?\nAnswer: -2460*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -157\/270 + -1\/54. What is the nearest to 2 in 2\/3, 0.3, f?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -156, -3, -2\/11, -0.5, -3.6 in decreasing order.\nAnswer: -2\/11, -0.5, -3, -3.6, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 3:30 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 945 and 50780709.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 13*z - 161. Give c(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6627, 4112, 1597, -918, -3433?\n\"Answer: -2515*z + 9142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.14 - -1.34. Let q = o + -1.296. Round q to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/8*(-2 + -4*1). Let b be (w\/(-10) + 3\/(-15))*-4. Suppose 0 = f + 3*i - 544, 3 = b*i + 1. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1477.1428 rounded to the nearest 10?\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - z - 24 = 0. Let h = 8 - 14. Let w be (-5)\/((-10)\/h) - 2. Put w, z, 4 in decreasing order.\nAnswer: 4, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28404 - -32804. Is q a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 6201 = 282*b, -354 = -3*z + 2*b - 307 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(-6)*(-735)\/175 + -7. Let q = 22 - 12. Solve m*z - 5*z - q = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5176256 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -21, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1153 is divided by 381?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 995?\nAnswer: -996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 3*o - 4*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/2, -0.07, 0.2, 1, -1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a + 8*a - 18*a + 8*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3074578063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1268\/198 - (-18)\/(-99) and ((-10)\/5)\/(280\/76).\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((15\/(-3))\/60)\/((-28)\/(-9)*(-1080)\/1260)?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 i when two letters picked without replacement from {a: 5, i: 7, e: 8}?\nAnswer: 28\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 161 and 27692?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 3, 189*y = 3*l + 188*y - 15 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 128.55 to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**2 + 200 - 2*k + 3*k + 203 - 600 + 229. Calculate z(-5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 319 = -2*c, 282 = 3*c + 2*l - 180. Calculate the highest common divisor of c and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45557169, 91114376, 136671583?\nAnswer: 182228790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 19*v**2 - 4*v + 2. Let k be n(3). Suppose -5*u + 44 = -k. Let l = -39 + u. What is the closest to -1\/2 in l, -6, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0, 0.2, 2, 5\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -221 + 316. Suppose -j + 2 = 5*r - 83, -45 = -5*r + 3*j. Calculate the least common multiple of n and r.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -15 + (4 - (-106)\/10).\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 11. Suppose 0 = -t*m - 2 - 6. Let g be 1*((-1)\/1 - m). Solve -5*b = 4*l - 3, -g = -3*b - 2*l + 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 15*f**2 - 9443*f + 47216. Calculate v(5).\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (sqrt(2) + 2*sqrt(2))*1 - sqrt(128) - (2*(sqrt(6)\/sqrt(3))**2 + (sqrt(10)\/(sqrt(10)\/sqrt(2)))**2).\nAnswer: -6 - 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*c + 24*c = 5*x - 3988, 2*c = 4*x - 3192. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t - 1. Suppose 26 = -3*i - j, -8*j - 6 = -2*i - 4*j. Give g(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15.65 + -15.649996112. What is r rounded to 7 dps?\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130455433 divided by 7673849?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zziozcw. What is prob of sequence ic?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10325539, 20651076, 30976613, 41302150, 51627687?\nAnswer: 61953224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -29450232 rounded to the nearest one hundred thousand?\nAnswer: -29500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108848642 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 104400 and 3455.\nAnswer: 72140400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4232.6, -3, 0.5, 0.7, -9 in increasing order.\nAnswer: -9, -3, 0.5, 0.7, 4232.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1757266241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6562 + -6307. What is the greatest common divisor of 51 and x?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 + -27 + -2)*-1. Suppose -2*d + 40 = -g, -d + g = 7 - h. Calculate the remainder when d is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 1, 31, 3, 51 in increasing order.\nAnswer: 1, 2, 3, 4, 31, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/((r\/r**(-11))\/r))\/r)**10 assuming r is positive.\nAnswer: r**(-100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 509 is divided by 25.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 20*d - 187 = 0. Solve 0*s = -4*v - 2*s + 20, -v - 2*s + d = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 397*u**6 - u**3 + 78*u**2 wrt u.\nAnswer: 47640*u**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1288\/5 + (-6)\/10. Suppose 4 = -l - 0*l, g = 5*m + 2*l. Suppose 3*w - m - 10 = 5*y, 3*w - y - 75 = 0. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.351 and -0.273604.\nAnswer: -0.369639004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38*g**2*u**4 + 4*g**2*u**2 - 917*g*u**2 + u**5 + 67*u**3 wrt u.\nAnswer: -912*g**2*u + 60*u**2 + 402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 0, -3, -23 in increasing order.\nAnswer: -23, -9, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**8\/i*i\/(i*i**(-5)))\/(i\/(i*i*((i*i*i*i**(-8)*i*i*i)\/i)\/i)*i\/((i\/((i*((((i\/((i**(-2\/3)\/i*i)\/i))\/i)\/i)\/i)\/i)\/i))\/i*i)) assuming i is positive.\nAnswer: i**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = n - 3*n, 3*i - 96 = 4*n. Calculate the greatest common divisor of 393 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 12*x**3 + 5*x**2 + 5*x + 1. Is u(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354 a factor of 26550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 126 + -60. Suppose -2*f + 13 = 3*m - 8, -3*m = 5*f - b. Solve -2*o - 20 = -2*c, 0 = o - 3*c + f + 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, 3\/28, 17, 1\/2474?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3142, -4, 21\/167 in descending order.\nAnswer: 3142, 21\/167, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 62*k + 411. Give v(-56).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29.1 - 16.2. Let z = t - 13. Which is the third smallest value? (a) 1\/6 (b) 2\/7 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z*z*z*z*z\/(z*z**(-2\/31)))**25 assuming z is positive.\nAnswer: z**(4700\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13677 and 39257549?\nAnswer: 4559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 422.1 - 422. Let n = 0.13 - 5.13. Which is the closest to 1\/10? (a) d (b) n (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13822126.\nAnswer: 2, 23, 300481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/2787 and -43\/71.\nAnswer: 197877","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 35. Calculate the greatest common factor of 21 and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 5956 + 6005 = -4*w, l - 3 = -2*w for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 16*t - 13. Is x(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 211333 - -3?\nAnswer: 211336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 6*t + 10. Let u be l(-7). Suppose -u*a + 16 = a. Let y = 18 - a. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bygyybbjyjyjby. What is prob of sequence yjb?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oioiiwoiowoiwwiooiw. Give prob of picking 4 i.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63613501?\nAnswer: 7, 19, 29, 16493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 2:47 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*f*m**2*p + 4*f*m*p - 3*f*m - 12*f - 73*m**2 wrt p.\nAnswer: 21*f*m**2 + 4*f*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24.36 at least 288?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1700 - 1695. Sort -1, 1, 57, r.\nAnswer: -1, 1, r, 57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 85 = -4*g + 5*g, 5*c = g + 106. Suppose q + 21 + c = h, 5*h - 222 = -q. Is 16 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.989005 litres to millilitres.\nAnswer: 4989.005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*3*((sqrt(175) + 0 + sqrt(175) - sqrt(175)) + -1)**2.\nAnswer: -150*sqrt(7) + 2640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*j = -28*j - 47918. Let b be 0 - j\/(-8) - 57\/76. Calculate the greatest common divisor of 20 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -342, -5, -64, -2\/11, 22\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87\/(-58)*232\/(-6)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 575330 and 140?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 99761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.0701*0.5\nAnswer: 0.03505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-6)*-16*(-814)\/(-12210))\/(24\/9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(6\/(-10))*(-8)\/((-840)\/(-9))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 777 = -128. Suppose -2*l - 5*s + 449 = 0, -4*l - 7*s + 4*s + j = 0. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p be 984\/(-38) + 38\/361. Are p and -4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 19664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 168803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}