diff --git "a/data/dm_maths/full_data/1036_11255.jsonl" "b/data/dm_maths/full_data/1036_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1036_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let w(y) = 2*y**3 + 5*y**2 + y - 4. Let r be ((36\/(-5))\/(-4))\/(154\/(-20) - -8). Let v(t) = 2*t**3 + 5*t**2 + t - 5. Determine r*w(k) - 5*v(k).\nAnswer: 2*k**3 + 5*k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a millennium in years?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 634589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 18*w - 50. Let j be c(11). Suppose -2*f - j + 32 = 0. Are f and -58 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -365 (base 7) to base 2.\nAnswer: -11000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + l + 3 = 0, -79*j + 27*j + 19*j + 31*j + 8 = l - 1 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0*g*g\/g**6)**(7\/2))**(3\/34) assuming g is positive.\nAnswer: g**(-21\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**3 + 10*i**2 + 2*i - 10 = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.5, -4\/13, -0.02.\nAnswer: -4\/13, -0.02, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.178399 times 177.8?\nAnswer: -31.7193422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 20*j**2 - j. Let v be 2*((-15)\/(-6) + -2). Is l(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/(-1)*(-4)\/(-4 + -4). Suppose 12*z - t*z = 20. Suppose -z*a = a - 1885. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/11 + 116434948*t\/11 + 1694637139470338\/11.\nAnswer: 2*(t + 29108737)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 10*v**2 + 10*v + 10. Let o be n(-9). Does 20 divide 0 + o - (-144)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-16)*2\/(-2))\/(55\/66)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 4*x**2 + 4*x - 5. Calculate the remainder when 29 is divided by l(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-4)\/(-2))*32\/16.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25484?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12713.\nAnswer: 12713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18231, -5, 2 in ascending order.\nAnswer: -18231, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 3*t + 2. Let b be p(2). Suppose b = -3*j + 6 - 3. What is the least common multiple of j and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40.87 - -41. Let b = t - 5.13. What is the closest to 1 in -4\/7, b, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.001, -0.3, -0.1?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/(-30) - (-82)\/246?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m + 6 = 4*g - 7*m, -6 = -2*g + m for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 983 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/3*(-126)\/((-12600)\/(-4300)).\nAnswer: 43\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -321 divided by -107\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*u + 4*u + 0*u + (1 - 2*u - 1)*(0 - 1 - 1) - 2*u - 5*u + 2*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43968 is divided by 8768?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59 - -61. Solve 5*f - 3 - s = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*b**3 - 65 + 26*b**3 + 8*b**3 - 21*b**3.\nAnswer: -7*b**3 - 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + r = -d, 0 = d - r. Suppose 4*o - 156 = -d*o. Suppose 3*p + 3*g = o, 0*g - 2 = p - 4*g. What is the smallest common multiple of p and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/4711 + 164869\/37688. Suppose 3*w - 1755 = -2*w. Find the common denominator of q and (-2)\/(-1) + w\/(-24).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/555 and 37\/20145.\nAnswer: 745365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3718 - 3?\nAnswer: 3715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14838, 59469, 133854, 237993, 371886, 535533?\nAnswer: 728934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + 3. Let d be (-1)\/1*(-19 - -2). Let q = 29 - d. Calculate the smallest common multiple of q and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/20 and -79\/13102380.\nAnswer: 13102380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 96*r**2 - 8*r + 2 wrt r.\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of m**3\/2 - 4*m**2 + 130*m. Let u(v) = 3*v**2 - v. Let j be u(1). Suppose -s + 18 = j*s. Calculate f(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -11?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 700, 1397, 2096, 2797?\nAnswer: 3500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9671 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 573*r**2 - 1685*r**2 + 478*r**2 + 633*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 31050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001085 rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**2*w**4 - 1296791*k**2*w**3 + 5*k**2*w**2 - 505*k*w**2 - 10*k*w wrt w.\nAnswer: -24*k**2*w - 7780746*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, i: 1, u: 1}. Give prob of picking 1 u and 1 i.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, f: 9}. What is prob of sequence bb?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.1 * -14.\nAnswer: -43.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/241, -1, 1\/2, -4\/5, -0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201002221211 (base 3) to base 14.\nAnswer: -9b108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide ((-132)\/9 + 4)*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118778 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21*u + 2 + 43*u + 20*u)*(-3 - 2*u + 3) as c + x*u**2 + f*u and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22416040747 + 22416417081.53127. Let u = l + -376180.53126919. Let t = u - 154. What is t rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*m = -4*l + 44*m - 25, -11 = 2*l - m for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 100486889 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9063, 18127, 27191, 36255, 45319, 54383?\n\"Answer: 9064*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -m - 42, 50 = o - 5*m + 16. Suppose -a = -2*f - 15, 3*a = a - 3*f + o. Let q be a\/4 + -4 + 9\/(-12). Solve -g + 0*g - 2 = q for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 10*m**2 + 5*m + 12. Let l(a) = a + 1. Let v(b) = -l(b) - p(b). Let h(r) = 3*r**2 - r - 1. Let w be h(2). What is the tens digit of v(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 218 - 221. Let a = -0.43 - -0.03. Sort a, -1, m.\nAnswer: m, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 3 + (-27)\/(-9) + 5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 0 + (-2 + 1 + 3)*(-3 - 3 + 3) - 20 - 125 - 31)*(4 + 0 - 1)*(-2 - 2 + 2)*(0*r - r + 3*r) as u + c*r and give c.\nAnswer: 2196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-189)\/378*(69 - -1)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*d**3*t - 4*d**3 + 2*d**2*t + 3332*d**2 + 2*d*t + 246*d - 778*t - 1 wrt d?\nAnswer: -66*d*t - 24*d + 4*t + 6664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 10*l - 1. Let g(x) be the second derivative of -x**6\/180 - x**4\/6 - 17*x**2\/2 - 254*x. Let b(v) be the third derivative of g(v). Give c(b(h)).\nAnswer: -40*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 7) in base 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u - 8*u + 0*u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence toto when four letters picked without replacement from {l: 7, o: 3, t: 9}.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, g: 5, b: 3}. Give prob of sequence ggbb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 5*u = -4*u. Solve u = -4*r - 5*d - 31, 4*r - 4*d + 1 = -3 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1781 + 1781. Let v(x) = 2*x + 99 - 10 + 2*x**2 - 8. Let t be v(h). What is the highest common factor of t and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/((-404)\/200 - -2). Suppose 5*f = 65 - d. Let j = 109 + f. What are the prime factors of j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 25 = 1. Which is smaller: d or -18\/11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of 79*d**7\/70 - 77*d**3\/2 + 38*d**2. Differentiate q(i) wrt i.\nAnswer: 948*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.551824 millennia in decades?\nAnswer: 955.1824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than or equal to -380\/123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1045072470 and 2.\nAnswer: -1045072468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2502002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*r + 40*r - 4*d + 348 = 0, -6*d = 36. Let s = 7 - -26. Calculate the remainder when r is divided by s.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.4 + 5.7. Which is the second biggest value? (a) j (b) 5 (c) 7\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 29\/(-5))*(-342)\/380*(-25)\/15.\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n - 6*n + n + (140 + 56*n - 140)*(-5 + 4 + 3).\nAnswer: 103*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -2*o**5\/15 + o**4\/6 - 6*o**3 + 18. Let y(p) be the third derivative of t(p). What is the first derivative of y(i) wrt i?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.5, 12, -1\/3, -42?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 256851056 and 616.\nAnswer: 256851056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-4)\/1)*(-48)\/(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2032935968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = m - 1. What is the first derivative of -m + 0 + 4 - 3*h**3 wrt h?\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -492 - -3442\/7. What is the closest to -0.07 in -0.09, o, -4?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*k + 4*k**2 + 3*k - 14*k + 0*k**2 to the form h*k**2 + d*k + y and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*k**3 - 16*k**3 + 136 + 47*k**3 - 13*k**3 - 136 - 51*k**2.\nAnswer: -k**3 - 51*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 + 9?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 + 8\/(-12))\/((-2)\/(-3)). Differentiate w**2 + u - w**2 - 19*w**4 + 6 with respect to w.\nAnswer: -76*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-three fifths of a gram?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 6464\/3?\nAnswer: 6464\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296929628.\nAnswer: 2, 74232407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 127*l**5 - l**3 + 5*l**3 - 1 + 128*l - 187*l + 201*l wrt l.\nAnswer: 2540*l**3 + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -9\/2*f**3 + 0 + 19\/60*f**5 + 0*f + 0*f**4 - 77*f**2. Differentiate w(q) with respect to q.\nAnswer: 38*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -79 - -78.6. Which is the second biggest value? (a) 3\/5 (b) -4 (c) -0.5 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20595816 and 667457?\nAnswer: 144170712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (38 + -38)\/(6\/(42\/(-49))). Solve 1280*i - 1271*i + 45 = q for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1531.35 + 659.361. Let b = -881.4 - v. Let i = b - -0.111. Round i to zero decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1479 by -4.\nAnswer: -1479\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -248c30 (base 14) to base 12.\nAnswer: -5055b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 529166880 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1693 + -1692.9. What is the closest to 0.1 in k, -0.05, 6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**3 - 4*s**3 + 14*s**2 - 5*s**2 + 7*s**3.\nAnswer: 3*s**3 + 9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 7 and 44583 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1166514505, 1166514504, 1166514503?\n\"Answer: -p + 1166514506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.1, 0.4, 55 in increasing order.\nAnswer: -0.3, 0.1, 0.4, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1935178 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (15 - 10))\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 189 and 10899.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -8 + 10 - (-1 - (1 - -134))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c**3 + c**2 - 9*c + 8. Let a be i(-4). Let d = a + -116. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1352657\/6 - -225443. Factor s*f**2 + 0 - 3*f.\nAnswer: f*(f - 18)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 4*j - 4*i, 2*j - 490*i = -486*i - 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4) - (sqrt(4) + (sqrt(4) - sqrt(48)\/sqrt(108))))\/(sqrt(18)\/(sqrt(36)\/sqrt(4))).\nAnswer: -2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u + 7. Let f(o) = 13*o - 29. Let v(m) = 9*a(m) + 2*f(m). Let z be 4\/6 + 80\/24. Determine v(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/3 and -82\/33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-5 + (1*(sqrt(125) + 1)*2 - ((sqrt(60) + sqrt(2160))\/sqrt(12) + -1*sqrt(20)\/sqrt(4)))))**2.\nAnswer: -384*sqrt(5) + 1424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -2, 2 in descending order.\nAnswer: 2, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -c**5\/4 - c**4\/6 - c**3\/3 + c**2\/2 - 4*c. What are the prime factors of r(-2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 259158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4555 and 6377.\nAnswer: 31885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 o when three letters picked without replacement from {o: 5, r: 2, t: 9}?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19 and -88794167?\nAnswer: 1687089173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (107285\/(-258))\/499 - (-197)\/6?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1211413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -354729 = 41649*w - 37992*w for w.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 - (48 + -13 + -22 + -81).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 13\/4 of a tonne?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 15. Suppose -3*x = 2*x - 3*x, -20 = -4*s + x. Solve -q = 6*m - s*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2421*p - 4939. What is f(-2)?\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j - 2. Let m be i(2). Suppose 6 = l - m*l. Suppose 4*h = -2*u + 2, -h - 5 + 1 = -4*u. Solve s - 5 = h, s = -k + 2 + l for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4774753?\nAnswer: 4774753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 48241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of l**5\/60 + l**4\/3 + 14*l**2 - 11. Let p(g) be the second derivative of n(g). Give p(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.50463084 to two dps.\nAnswer: -24.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172361*v + 137544*v - 366451*v.\nAnswer: -401268*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2*((-2 + sqrt(112))*2 - sqrt(112)))**2.\nAnswer: -176*sqrt(7) + 569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.968 - -0.032. Sort 12, j, 3 in decreasing order.\nAnswer: 12, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**3 + 960*z**2 + 5868*z + 8856 = 0. Calculate z.\nAnswer: -3, 246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -14. Suppose 3*u = u + p. Does 2 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 16*k**5 + 5*k**4 - 19*k**3 - k**2 + 14*k - 26. Let b(r) = 3*r**5 + r**4 - 4*r**3 + 3*r - 5. Let q(t) = -11*b(t) + 2*p(t). Factor q(s).\nAnswer: -(s - 1)**3*(s + 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 264550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5682, 5742, 5800, 5862, 5934, 6022?\n\"Answer: r**3 - 7*r**2 + 74*r + 5614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 285471087?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1813 bigger than -67996?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l - 2. Let h(x) = -x**3 - 1 + 0*x**2 - 4*x**2 + 3*x**2 - 3*x. Calculate the smallest common multiple of q(-4) and h(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 929738863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/452476?\nAnswer: 1\/452476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 0*b + w - 12, 0 = 3*w + 12. Calculate the remainder when 10 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 48*k**2. Let m(q) = -2*q**2. Give h(m(d)).\nAnswer: 192*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/((-378)\/12)*7\/3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65253 is divided by 21254.\nAnswer: 1491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206135470?\nAnswer: 2, 5, 61, 181, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 6*y**2 - 7*y + 5. What is the least common multiple of 4 and h(4)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f - 2*f**4 + f + (59*f - 2 - 59*f - 5*f**4)*(7 - 3 + 10).\nAnswer: -72*f**4 - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -9*d**2 - 2*d + 1. Let a be w(1). Let t be (a\/(-15))\/((-4)\/(-18)). Suppose -t*f + 32 = f. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 1138 = 2*w, -2*k = -0*k + 4*w - 1144. What is the least common multiple of k and 798?\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -162*m**6 + 14752*m**4 + 2254*m**2 - 7*m + 54 wrt m?\nAnswer: -19440*m**3 + 354048*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0406 + -0.0594. Which is the second biggest value? (a) -0.134 (b) 2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -318 - -597. Is b a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2 (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*w**3 + w**2 + 1 - 4*w**4 + 47*w**3 - 52*w**4 + 1 - 17*w**4 to the form k*w + p*w**4 + n + s*w**2 + j*w**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*b*r**3*s - 16*b*r**3 - b*r + r**3 + 57*r*s + 3*s wrt r.\nAnswer: 90*b*r*s - 96*b*r + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3084, 2\/33, -2\/7?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -2*n - 5*j - 24, 5*n + 30 = -4*j for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y - 4. Suppose 5*b - 17 = -3*q, 5*q = -2*b + 1 + 2. Let k(r) = -5*r + 9. Calculate b*k(g) + 9*f(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 10:28 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 20\/123?\nAnswer: 20\/123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2 - g - 8. Suppose -5*x = -b + 42, b - 24 = 4*x - 3*b. Is f(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -316.4 + 316. What is the nearest to -2\/113 in -0.3, k, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 28 = -4*r. Suppose -46 = -3*q + r. Suppose -5*o + q = 5*n - 5, 3*n = 0. Calculate the highest common factor of 45 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, p: 1, d: 2, w: 1}. Give prob of sequence wp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/612 and -167\/13350.\nAnswer: 1361700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i + 22. Let x(j) = j**2 - 254*j - 1834. Let p be x(-7). Suppose -w = -0 - 5. Let z(g) = -2*g + 15. Let s(c) = p*z(c) + w*n(c). Calculate s(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111276922 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*j**5*n**2 - 37*j**5 + 61*j**2*n - 2*j**2 + 7*n**2 wrt j.\nAnswer: -360*j**2*n**2 - 2220*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -302\/3 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 198 and 26228466?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*d + 15*d**2 + 7 + 7*d - 32*d - 2 + 12*d to u*d**2 + t*d + k and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8307222?\nAnswer: 2, 3, 7, 11, 17981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2508 is divided by 313?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - b - 2*b = -146, -f - 2*b = -39. List the prime factors of f.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = k + k. Suppose -5 - k = -3*p. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 1551*k + 401601. Give j(1777).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 12*b**2 + 16*b + 1. Let w be g(13). Calculate the highest common divisor of w and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + 4*s - 7, 0*f + s - 8 = -f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2377 - 1537 = 84*f - 1142 for f.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -27*b - 1. Is t(-1) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8342*u - 57949 = -35111 - 116342 - 90020 for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -4*q + 406, -2*c + 207 = 2*q + 5. Let n be (1 + 8\/(-9))\/(34\/q). Let -n*k + 1\/6*k**4 + 1\/3*k**3 + 0*k**2 - 1\/6 = 0. What is k?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-19) + (-59)\/19. Let h be 8\/6*3\/2. Put r, -1, h in decreasing order.\nAnswer: h, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -17, -1, 506 in ascending order.\nAnswer: -17, -1, 46, 506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -11. Which is the closest to 0? (a) 3 (b) -5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 8, 4*c + 26 = -0*c - 85*k - 81*k + 167*k for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 9:37 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -32*y**5\/5 + 7*y**4\/4 + y + 26. What is the third derivative of s(u) wrt u?\nAnswer: -768","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*m**3 - 129*m**3 - 23*m + 1056*m**2 + 68*m.\nAnswer: m**3 + 1056*m**2 + 45*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 6\/25, -2\/3701, 21?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-98*b**3 + 64*b**2 - 64*b**2)*(562 + 68 - 163 + 203).\nAnswer: -65660*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 + -36)\/(5\/(-10)*3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 o when two letters picked without replacement from stoyyzooototyo.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wo when two letters picked without replacement from {a: 2, k: 5, j: 1, o: 6, w: 5}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/((j*(j\/(j**5*j*j)*j)\/j*j)\/j))\/j**(-6))**(-5\/7))**(-1\/70) assuming j is positive.\nAnswer: j**(6\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 37266 to the power of 1\/2, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-792)\/(-1089)*(-22)\/(-28).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 27 = -w, -34 = 2*w + 2*m + 2*m. Let l be 40\/336 - 4\/14. Let f be 1224\/(-1512) - (-1)\/7. What is the second biggest value in w, f, l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 12) to base 16\nAnswer: 1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197404080.\nAnswer: 2, 3, 5, 822517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-5))**12\/(((r\/((r**(-14)\/r*r)\/r))\/r*r)\/r**(-15)) assuming r is positive.\nAnswer: r**(-79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -504 = 5*k + 106. Let p = 1100\/9 + k. Factor 0*l**2 + 0*l + 0 + 2\/9*l**3 + p*l**4.\nAnswer: 2*l**3*(l + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/z**(-2\/9))\/z)\/(z**(1\/2)*z))\/((z**1*z*z)\/(z*z\/(z\/(z*z*z**(-6)*z*z)*z*z))))**(21\/2) assuming z is positive.\nAnswer: z**(-917\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4*a - 10, -c - 4*a - 14 = -4*c. Let i = 1 - -1. Suppose -4 + i = b. Put b, c, -1 in decreasing order.\nAnswer: c, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1\/39, 3046\/9 in increasing order.\nAnswer: 0, 1\/39, 3046\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 38587471 to the power of 1\/3, to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9892, 10024, 10398, 11140, 12376, 14232, 16834?\n\"Answer: 21*d**3 - 5*d**2 + 9876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(75) + -1)*-6*-3)**2 + ((sqrt(270)\/sqrt(5))\/(sqrt(2) + sqrt(32)*3 + sqrt(2)))**2.\nAnswer: -3240*sqrt(3) + 4826331\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -1.7 (b) 0.4 (c) 0 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rkrkkirkiikkirkrik. Give prob of sequence krk.\nAnswer: 35\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 w when two letters picked without replacement from {w: 7, i: 6, o: 4, k: 1}.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/390 and ((-6365)\/(-201))\/(2*4).\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2 = i, 2*a - 18 = i + 7*a. Differentiate 75*s**i - 19 - 111*s**2 + 62*s**2 with respect to s.\nAnswer: 52*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48 - 46. Suppose 4*t + 3*m = 41, t - 7 + b = m. Let p be (7 - -1)*(4 - 28\/t). Solve -4*u - p = -2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 40.37957 years?\nAnswer: 4.037957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/322 and -73\/93472?\nAnswer: 654304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a week in hours?\nAnswer: 3444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*g**2 + 13*g**2 - 42*g**2 - 62*g**2 - 28*g**2.\nAnswer: -102*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 177791562.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5*u - 2*u = 12, 0 = -4*o - 3*u + 15. Sort -5, -2, o in ascending order.\nAnswer: -5, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32 or 2312061?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-0.1507\nAnswer: -0.03014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + -9e?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2. Let u(s) = 20961926*s. What is g(u(f))?\nAnswer: -439402341629476*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 15*r + 40 = 0. Calculate the lowest common multiple of r - 3*10\/15 and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 8. Suppose -30 - 7 = -a + j*y, -3*a = -y - 111. Suppose -8*d + 56 + 24 = 0. Calculate the remainder when a is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r + 1. Let g be t(3). Let x(s) = 34*s + 582. Let n be x(-17). Put -3, -1, n, g in ascending order.\nAnswer: -3, -1, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*y + 2. Put 5, y, 4 in descending order.\nAnswer: 5, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(-2\/13)))**(-20) assuming a is positive.\nAnswer: a**(40\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-6*sqrt(528))\/((sqrt(108) - -2*sqrt(108))*6).\nAnswer: -4*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f**2 + 82*f**2 - 21*f**2 - 40*f**2.\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11412351331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 6. Suppose -k*i = 2*s - 871210, -2*s + 3*i = -821411 - 49823. Let h = s + -612611. What is h rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118685 divided by -8?\nAnswer: -118685\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*f = -4*g + 2, 0 = -f - 3*g. Calculate the lowest common multiple of 15 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -190.26 - -189.96. Which is the smallest value? (a) 0.4 (b) -0.5 (c) t (d) 1.302\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 87*r - 88*r + 21 - 4*r**3 + 2*r**3 as h*r + y*r**2 + b + v*r**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-4*((sqrt(1331)*2)**2*-4 + -4 + (sqrt(1331) + sqrt(1331)*-1)**2).\nAnswer: -426000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, -3, 9, 0.183, -2\/7?\nAnswer: 0.183","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - -1.1. Suppose 0 = -2*g - 2*g - 12. Let r = 2 + g. Which is the nearest to r? (a) -1\/7 (b) w (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3495 and 442317880?\nAnswer: 1165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -9*x**2 - 3 + 39*x**2 - 12*x**2 - 9*x**2 - 11*x**2 - 3*x. Let p(z) = -z**2 - 3*z + 2. Let g be p(-4). Determine c(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vkckkv. What is prob of picking 3 k and 1 c?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Solve -111*d + 107*d = -2*h - 14, 4*h + 5*d = 11 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*b + 34*b + 72. Suppose -4*r = -10*r + b. Determine y, given that -6*y**r - 3*y**4 - 26\/3*y**3 + 9 + 9*y - 1\/3*y**5 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -7. Is (0 + 443\/m)*-4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 349, 910, 1607, 2368, 3121?\nAnswer: 3794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by 22\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1903357 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (192\/(-240))\/((-1)\/(-10)). What are the prime factors of (x - -7)*((-3585)\/5)\/3?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 88*q. Suppose 0 = 5*k - 48*d + 50*d - 16, 4*d = 3*k + 32. Let o(f) be the second derivative of 1\/6*f**3 + k*f**2 + 7*f + 0. Give o(l(s)).\nAnswer: 88*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + -110. Let s = -106 - l. Let x = 2.7 + -3. Which is the smallest value? (a) x (b) s (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -95 - -96. Let u be ((-5)\/(-4))\/(v\/8). Solve -x - 5*n = 4*x - 45, -u = -5*x + 2*n for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3, -1\/5, 0.1, -4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133 = -9*i - 112 + 29 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -51 - -6?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.075 + 0.075. Let a = -1 - -6. What is the second biggest value in i, 0.3, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 824 + -18133\/22. Let d = x + -3\/11. Which is the nearest to 1? (a) d (b) 0.2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 at least as big as 1313\/3379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 n when two letters picked without replacement from nnqnnqqqnnnnnnqnnn?\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 times -71?\nAnswer: 9443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 - -8. List the prime factors of ((-8)\/l)\/(4\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(sqrt(5) + (sqrt(5) - (sqrt(25) - sqrt(75)\/sqrt(3))\/sqrt(5)) + sqrt(5))*-4.\nAnswer: -4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 22*x**2. Let m(s) = -s**3 - 7*s**2 - 6*s + 6. Calculate the remainder when k(-1) is divided by m(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**4\/5 - 7374*v**3\/5 - 4538691*v**2\/5 - 9055272*v\/5 - 4523952\/5 = 0. What is v?\nAnswer: -1228, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -17953*p**3 + 41*p**2 + 156*p + 5. Is k(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 2*o - 884, -4*o + 1968 - 178 = -f. Let y = -203 + o. Suppose 0 = -5*d + 571 + y. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.8 - -4.8. Which is the biggest value? (a) o (b) -0.3 (c) 4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 249 by -1.\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -635, -2698, -6177, -11078, -17407, -25170, -34373, -45022?\nAnswer: -57123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*m = 158*m - 1518 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 76.342 to one decimal place.\nAnswer: 76.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -463, -289, 5, 419, 953, 1607?\nAnswer: 2381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -59*t**2 - 66*t**2 + 191*t**2 - 59*t**2. Let s(y) = -69*y**2. Determine s(b(g)).\nAnswer: -3381*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140422*w + 0*w**2 - 140499*w + w**2.\nAnswer: w**2 - 77*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 14) to base 10.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 13*j - 13. Let t be g(14). Let l(v) be the first derivative of 2*v**2 - v + 2. Let k be l(t). Put -5, 4, k in descending order.\nAnswer: 4, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.653, -0.17, -1 in descending order.\nAnswer: -0.17, -1, -1.653","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4478 + 1416 = -421*n for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20844, -20839, -20832, -20823, -20812?\nAnswer: -20799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 + 2*y - 6 + 8*y - 11*y + 7*y - 1 + y + 1 + (2*y - 4*y + 0*y)*(2 - 2 - 2) - 3*y + 6*y - 2*y.\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 20*p - 17720 = 0. Let m = -1271 + p. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_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: Suppose -2*z + 58 = 66*n - 67*n, 4*z = -2*n + 124. Solve -57*s - z = -63*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 - 45. What is the third biggest value in 5, 4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69730981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -15\/4 (b) -3 (c) 1\/3 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 44532 divided by -3\nAnswer: -14844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -792, -769, -732, -681?\nAnswer: -616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-2)*6)\/(-2 - 9\/(-18))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16619331.\nAnswer: 3, 577, 9601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1251 and 2641.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47 + 59. Suppose -71 = -n*v - 11. Suppose 4*j = 3*z + 272, -j - 2*j - v*z + 233 = 0. List the prime factors of j.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4\/13 - 288*d**3\/13 - 15296*d**2\/13 - 354816*d\/13 - 3035648\/13.\nAnswer: -2*(d + 28)**2*(d + 44)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 51 = -35 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81656 is divided by 115?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**2 + 319478*x - 1597340 = 0. Calculate x.\nAnswer: 5, 159734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -c**5\/60 - c**3\/6 - c**2\/2 - 3*c. Let z(h) be the first derivative of x(h). What is z(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0341 minus -227331452?\nAnswer: 227331452.0341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -71 + 302193?\nAnswer: 302122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 5298?\nAnswer: 5298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = -62*v + 15*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p**3 - 2*p**2 + 4*p + 16. Let t be j(6). Suppose t = 2*q - 282. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1255389 - -1255271.00085. Let w = p - -118. What is w rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 1031 = -a, -a + 5*s + 105 = -908. What are the prime factors of a?\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-1))\/d)\/((d*d**(-2\/5))\/d))\/(d**(-1\/2)\/(d\/d**(-2\/5))) assuming d is positive.\nAnswer: d**(13\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.24 * 1275.1.\nAnswer: -306.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -386283 - -389208.57. Let o = -2926.170036 + q. Let x = o + 0.6. What is x rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7935990?\nAnswer: 2, 3, 5, 113, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.723 and -276.738?\nAnswer: 276.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1548375?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**5*o - 412*j**5 + 2614*j**2*o wrt j.\nAnswer: -120*j**2*o - 24720*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 178 + -154. Let u = f - -11. What is the remainder when 347 is divided by u?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -n + 127, 8*k - 10*k - 468 = -4*n. List the prime factors of n.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/162 and 37\/10000.\nAnswer: 810000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 57, 32, 21, 30, 65, 132, 237?\n\"Answer: d**3 + d**2 - 35*d + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j + 271*j**2 - 334*j**2 - 3*j - 537*j**2.\nAnswer: -600*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101117?\nAnswer: 101117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/2 + 416\/143. Is j at most as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 191\/840 and -75\/14?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, x: 1, o: 1, y: 3, t: 3, w: 1}. Give prob of picking 1 o and 1 t.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 o, and 1 c when three letters picked without replacement from cyopoyyccoppo?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**5\/3 - 73*v**4\/6 - 71*v**3\/6 + 5*v**2\/3 = 0. What is v?\nAnswer: -1, 0, 1\/8, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 2*i**3\/3 - 10*i**2 + 1658*i. Suppose -5*j = 0, 0 = a - 8*j + 5*j - 5. Let w be d(a). Put w, 5, 30 in descending order.\nAnswer: 30, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 27, 50, 73, 96?\n\"Answer: 23*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 1:59 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9063.5 rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -21038 minus -605153303?\nAnswer: 605132265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/3 - 80\/(-12). Suppose 2*d = h*d + 2*z - 2, -3*d = -5*z + 5. Which is smaller: 1\/2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-9)*s)*s**(-3))**(5\/8) assuming s is positive.\nAnswer: s**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 52236 - -25260?\nAnswer: 110526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i - 8. Suppose -12*v = -14*v - 26. Let w be y(v). Solve -4*z - 13 = -w*x, 0*z - 6 = -2*z for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -250 + 378. What is the least common multiple of j and 176?\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*x, 7*x - 2*x = -3*s + 385. Let y = s + -117. Solve -2*z - y = -13 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - (0 + -4 + 11 - 4). Suppose -r - 5 + 13 = z. Put 3, r, 5 in increasing order.\nAnswer: 3, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1196 - -819. Let b = q - -947. List the prime factors of b.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58936 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -72, -120, -172, -228?\nAnswer: -288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.44 in 2, -0.1, 6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4592974 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8 - 1. Let u = -2 - 2. Put -3, v, u in descending order.\nAnswer: v, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.5 + -1.5. Let q = b + 0.8. What is the closest to 2\/3 in 1, q, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -223*i**2 - 1810*i - 209. Determine b(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 66*u - 13. Let h be j(1). Let w = h + -50. Let k = -23 - -32. What is the highest common factor of w and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26 and 181855922.\nAnswer: 2364126986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70965 and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 divided by 94?\nAnswer: -65\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-180)\/104)\/((-286)\/(-79937)*-129)\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 3 = -18*o - 9. Which is the nearest to o? (a) 5 (b) 1\/8 (c) 1\/5 (d) 61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4083533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -14. Solve -q = -4*q - 5*t, a*q = -4*t for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 932 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*m**3*r**3 + 2*m**3*r**2 - 10503741*m**3 - 2152*m**2*r**3 - 3*m**2 - 3*m*r**2 + 620*m wrt m.\nAnswer: -54*r**3 + 12*r**2 - 63022446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - -2 - (2 + -1). Suppose -2*x + 161 = 5*m + x, 134 = 4*m + c*x. What is the remainder when m is divided by 114\/10 + (-2)\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49 + -42 + 11 + (-2 - 1)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 26 + 25 = 0. Is 4 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*c + 137*c**2 - 13*c**2 - 33*c**2 - 33*c**2 - 34*c**2 - 30*c**2.\nAnswer: -6*c**2 - 18*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/6 (b) 2.7 (c) 0.018 (d) 1\/2 (e) 5\/2 (f) 4 (g) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -297, -283, -261, -231, -193, -147?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31120 and 715760?\nAnswer: 715760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/457, 3\/2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 + -22. Let z be 21 + y*4\/(-12). What is the highest common divisor of 3 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from {s: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21050 = 5*l + 45*x + 21040, -4*x = l - 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -4. What is the nearest to -1 in -0.4, f, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -409*d**3 + 357*d**3 - 310*d**3.\nAnswer: -362*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24334 = -41*g + 12648. What is the remainder when g is divided by 151?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5117, -3632, 361, 8116, 20887?\n\"Answer: 209*z**3 + 22*z - 5348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3))\/(280\/315)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/31698 and 31\/21270?\nAnswer: 112369410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -594*f**2\/17 + 10070*f\/17 + 28.\nAnswer: -2*(f - 17)*(297*f + 14)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -322, -305, -288, -271?\n\"Answer: 17*u - 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -19290.938114 and 0.006?\nAnswer: 19290.944114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -272*a - 297*a + 570*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-12))**(-47)*z**(5\/3)\/(z**(2\/45)\/z) assuming z is positive.\nAnswer: z**(25498\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -dd0a (base 14) in base 13?\nAnswer: -1452a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18495 and 3699.\nAnswer: 18495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 605.826 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3) + -1 + 63\/351.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d + d - 2*d**4 + (0 + 3 - 1)*(2 - d**4 - 2) + (-5*d - 5*d + 3*d)*(7*d**3 + 3*d**3 + 27*d**3) - d**4 + 3*d**4 - 3*d**4.\nAnswer: -264*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + x. Let z(i) = -i**3 - 19*i**2 - 4*i. Let g(v) = -5*q(v) - z(v). Suppose -2*n = 5*o + 3, 5*n + o = 3*n - 23. What is the units digit of g(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/50, 2, -0.129?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 0.5 (c) -2 (d) 5 (e) -49\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35704412?\nAnswer: 2, 283, 31541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1256321, -1256322, -1256323, -1256324, -1256325, -1256326?\nAnswer: -1256327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 651 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -14, 30.8, 18?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/7, 3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15 - (-21 + 8))\/(4\/(-1810)). Is c < 905?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -5*x + d + 8, -d = x + 3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/(-45) + 2934\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1156, 1150, 1146, 1150, 1168, 1206, 1270?\n\"Answer: p**3 - 5*p**2 + 2*p + 1158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.2 - 1.6. Let u be -2 - -8*6\/21. Which is the nearest to 1\/2? (a) 1\/4 (b) v (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150436194.\nAnswer: 2, 3, 59, 424961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30660559?\nAnswer: 193, 158863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w = -9*w + 27 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 32\/(-14) - 2\/(-1). Let u = -9985 + 9974. Which is the third smallest value? (a) d (b) u (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5322984 weeks in microseconds?\nAnswer: 321934072320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/4)\/((-31)\/186)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*t - 448597 + 457576 = -184*t for t.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1521*g - 853968 + 853968 + (0*g + 4*g - 3*g)*((-1 + 1 + 3)*(2 + 1 - 2) - 6 + 2 + 3).\nAnswer: 1523*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*((-2)\/(-4) + -1). Let b(r) = 29881*r**2 + 15*r - 29873*r**2 - 25 - 3*r. Is b(j) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8185720 is divided by 8185676?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 15*v**2 + 11*v + 15. Let y be u(14). Let c = y - -34. Calculate the greatest common factor of c and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111011110101100000 (base 2) to base 16\nAnswer: 3bd60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38 + (13 - (5 + 27)) - (0 - -1)) + 5?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 45*s**2 - 113*s + 372. Let w be g(31). Calculate the highest common divisor of 37 and w.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19.32 + -25.89. Let r = -45 - o. Round r to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.04, 5, -1, -5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 974 - 460. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 5 (b) -0.1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 20*p**2 + 67*p**2 - 9*p**2 - 3 as m*p**2 + j + k*p and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 15. Suppose m - 2*n = t*m + 4, 1 = 2*m + n. Let s(h) = h**2 - 4*h + 1. Determine s(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3075242723 + 0?\nAnswer: 3075242723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1404 and 3276.\nAnswer: 9828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3439 or 4333?\nAnswer: 4333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 13\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -931.51690123 - -931.5589. Let n = i + -0.042. What is n rounded to seven dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53 + -59. Let t = j + 238. Is 21 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 98638668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n**2\/6 - 1432277*n\/2 - 8593670\/3 = 0. Calculate n.\nAnswer: -4, 4296835","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/133 and -56\/261.\nAnswer: 34713","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -533*k - 2891*k - 62493 + 206301 = 0 for k.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-10)*(-650)\/1755 + (2 - 484\/234).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202181 is divided by 1477?\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -1017049?\nAnswer: -3051147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/4 - (-146601)\/42 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*y - y + 3*y)*(-6*y**2 - 22 + 22 + (-2*y + 5*y - 5*y)*(2 - y - 2)) - 2*y**3 + 3*y - 3*y as r*y + i*y**3 + z*y**2 + u and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 148947 or 148578?\nAnswer: 148947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3998, 15963, 35960, 63989, 100050, 144143, 196268?\n\"Answer: 4016*j**2 - 83*j + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -3*r - 1, -2*c + 7*r = 12*r - 7. Solve 17*m - 2*f + c = 18*m, 0 = -5*m + f + 16 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 451 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -287*x**2 + 28380*x**3 - 1202*x**2 - 36877*x**3 wrt x.\nAnswer: -50982","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/3)*x*x)**(1\/19))**(-3\/29) assuming x is positive.\nAnswer: x**(-4\/551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**2 - 3*k - 10. Let r be u(-7). Suppose 2*o - 72 = 3*h, -4*o + r = -2*h + 6. List the prime factors of o.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 120 = -s. Let u be ((-14)\/(-6))\/(5\/s). What is the second derivative of 55*c**2 - 53*c**2 + u*c - 1 + 1 wrt c?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -66 + 64 + (-2)\/(-3).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssmo when four letters picked without replacement from {s: 3, z: 1, o: 1, m: 1, f: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -17*l**8\/21 + 49*l**4\/4 + 2*l**2 - 423*l. What is the second derivative of k(m) wrt m?\nAnswer: -5440*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-4) - -4)*-4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -89*f*w**3 + f*w**2*y - 3*f*w*y - f*w + w**5*y + 2*w**3*y - 9*w**2 wrt w?\nAnswer: -534*f + 60*w**2*y + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 26*v**2 + 1. Suppose -4*g + 24 = -5*a, -4*g - 2*a - 8 = a. What is the remainder when k(g) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 177, 99, -133, -597, -1371?\nAnswer: -2533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/13490 and 109\/522.\nAnswer: 3520890","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -66 - -395\/6. Let g be (-6)\/(-11) - 481\/(-222)*6\/(-44). Which is the nearest to g? (a) -1\/11 (b) p (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -103*d + 934. Let s(a) = 26*a - 235. Let z(r) = 6*m(r) + 23*s(r). Give z(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w**3 + 4 - 4)*(-16 + 1 - 11) to s + r*w**2 + p*w**3 + u*w and give p.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.4 - -1.3. Let p = -24 + 24. Put 0.3, x, p in descending order.\nAnswer: 0.3, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vbbvqvqqbqvebbbq. Give prob of picking 1 q and 1 b.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 n when two letters picked without replacement from rmgnv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/4 - 22046*k + 486026116.\nAnswer: (k - 44092)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 1 + 1 + (0 - (-3 + 0)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36557, 76186, 115815, 155444?\nAnswer: 195073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.038*2.8\nAnswer: -0.1064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 1101 - 139*w**2 - 1101 in the form o + p*w**2 + a*w and give p.\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 6 = 3*i + 15, 4*q = 3*i + 3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a gram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 7*g**3 - 2*g**2 - 2. Suppose 0 = -33*d + 113 + 118. What is the least common multiple of d and y(2)?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 70149103.\nAnswer: 70149102.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - f - 5*f)*((5 - 3 - 4)*(3*f + f - 2*f) + (0 - 3 + 1)*(-3*f + 0*f + 0*f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 538?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 21 = -l, 4 + 6 = -2*u for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*71353.\nAnswer: 28541.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 210*m**4 - 7*m**2 + 7*m - 452. Let p(o) = 105*o**4 - 4*o**2 + 4*o - 226. Let i(c) = -7*p(c) + 4*x(c). Differentiate i(b) wrt b.\nAnswer: 420*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -61*o**2\/3 - 9515*o\/3 + 52 = 0.\nAnswer: -156, 1\/61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 167 - 167.5. Which is the fourth biggest value? (a) 3 (b) 0.2 (c) 5 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = 3*l - 4*l. What are the prime factors of l?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.558385 centuries in months?\nAnswer: 1870.062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 24 = -3*v. Suppose u = v, y + 344 = -3*y - 4*u. Let m = y - -484. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-6 + -8 - -11) + -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12200122 - -1020?\nAnswer: -12122102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*w + w + w)*(w - 3*w + 0*w) - 2*w**2 + 7*w**2 - 3*w**2 + 66*w - 66*w + 14*w**2)*(-15*w + 60*w + 17*w).\nAnswer: 1240*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -9*i**2 - 8*i + 3. Let q(t) = t**2 - t + 1. Calculate -6*q(k) + v(k).\nAnswer: -15*k**2 - 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and 1.9?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001610178 rounded to 6 dps?\nAnswer: 0.00161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**2 - 2*p**2 - 258*p + 9*p**2 - 2*p**2 - 10*p**2 + 5.\nAnswer: -p**2 - 258*p + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -2*g, g + c = -53 + 56 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/2 or -1.26?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**2 - 2*o + 4 = 0. What is o?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 4*p + 268 = 0, -3*a - 3444*p + 3435*p = -573 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1371385?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.031 * 35.\nAnswer: 1.085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 0.52 (b) -2\/5 (c) 5\/2 (d) 115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 142914*y**4 - 640*y**2 - 58*y - 2 wrt y.\nAnswer: 3429936*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of d**5\/12 - 5*d**4\/6 + 5*d**3\/2 + 13*d**2. Let r(o) = 0. Calculate o.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 72 (b) -1 (c) -0.36 (d) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**2. Let o(t) = -7*t**2 + t + 7281 - 7281. Determine k(o(q)).\nAnswer: -98*q**4 + 28*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 13*l + 113. Calculate y(19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.2, 0.1078, 0.098, -0.5 in decreasing order.\nAnswer: 2, 0.1078, 0.098, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 11:17 PM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millennium in years?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -x**4\/24 - 5*x**3\/12 + 84*x**2 + 3079*x. Determine i, given that a(i) = 0.\nAnswer: -21, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1698390\/(-12)*(-88)\/66 + -3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 704 divide 1480267008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.122785958 rounded to 3 dps?\nAnswer: -0.123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(80) + 0)**2 + ((sqrt(80) - (sqrt(80) + -3*sqrt(80))) + -5)**2 - (1*(sqrt(80)*1*2 - sqrt(80))*5)**2) + -2.\nAnswer: -1181 - 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 87\/11264 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90563 is divided by 3602.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68413292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2372407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -24?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1054 + -1052. Let z(x) = -2*x**3 + x**2 - 11*x - 11. Let v be z(-1). Solve g - 3*p + 9 = -o*g, -v = g + p for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2421 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - z + 8*z + (0*z - 3*z + z)*(-3 + 6 - 1))*(5 + 2 + 0 + (-4 + 3 + 0)*(-3 + 3 + 1)).\nAnswer: 30*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, k: 4, a: 1, v: 3, o: 1, q: 1}. Give prob of picking 1 v and 1 q.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 179 or 7?\nAnswer: 179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xdd when three letters picked without replacement from {d: 11, x: 5}.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -89*t**2 + 12691*t + 4974. Determine y(143).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 14\/17, -4, -2\/11, 8 in decreasing order.\nAnswer: 8, 14\/17, -2\/11, -2\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64 - 38 - -92) + (1 - 1) + 53?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -2*o**5\/15 - 5*o**4\/6 - 8*o**3\/9 + 16. Determine k, given that p(k) = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + n - 256, 2*x - 3*n = -8*n - 232. Let l be x\/24 - 1\/(-4). Let v be (5 - (-20)\/(-5) - 3)\/3. What is the closest to v in 12, -2, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74\/14 + 2\/(-7) + 13285564\/1114?\nAnswer: 3, 41, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 361 = 535. Suppose d*y + 16 = 132*y. Solve -2 = -y*i - 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/sqrt(3)*2)\/(sqrt(4) - (sqrt(36)*5 - sqrt(4))))**2 - ((sqrt(560)*-4)\/sqrt(7) + -5).\nAnswer: 865\/169 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 994 or -109599?\nAnswer: 994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 80679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(25)\/sqrt(5) - (-1*-1*sqrt(5) - sqrt(5))) + -1)**2.\nAnswer: -4*sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - 28\/(-4)) + 1. Suppose y + 1 = f. Solve -3*l + 5*i = 20, -3*l - f*i = -20 - 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*y**6 - 4*y**5 + 160*y**4 - 1115363*y**2?\nAnswer: -240*y**3 - 240*y**2 + 3840*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1167, 2281, 3395, 4509?\n\"Answer: 1114*g + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 9:17 PM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 355181*x + 2 + 230095*x - 2.\nAnswer: 585276*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 7*h + 6. Let n be u(7). Suppose 3*q + 6 = 3*m, 4*m + 4*q = 2*q + 2. Let c be m\/(1\/33*3). Calculate the highest common factor of n and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (1 + (4 - 3)) - (-126 + 143)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, c: 4, x: 3}. What is prob of picking 1 r and 3 c?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 17*l**2 + 1359*l - 3. Determine b(-80).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 10 = g. Suppose 5*o + 10 = 2*h + 7*o, -4*h + 11 = o. Let v be 330\/132 + (-2)\/(-8)*h. Sort v, g, -3 in decreasing order.\nAnswer: v, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20 and 2259.\nAnswer: 45180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iibixibmxiqbmixx. Give prob of sequence mbq.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -18232.92905 to the nearest 100.\nAnswer: -18200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 + 45.4. Let j = 10 - y. Round j to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/18 + 226\/6. Let b = c + -36. Factor 34*d**2 - 14*d**b - 19*d**2 - 1.\nAnswer: (d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4200 + 1?\nAnswer: -4144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31722782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1283942 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -4*n - 41. Let i be t(-10). Let b be 38 - (-1 - i - 1). Suppose 0 = b*z - 35*z - 4. What is the nearest to z in 7, 0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -13, 4, -2.\nAnswer: -13, -2, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 4*f + f. Let w = 21 - f. Suppose 2*o + m = -m + 131996, 2*o = w*m + 132008. Round o to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -b4d?\nAnswer: b49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 + -23. What is the highest common factor of f and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 4\/3)*(-4 + (-91)\/(-13)). Solve 4*m - 20 = j*v, 8*v = 3*v + 2*m - 19 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5984000 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 50*z**2. Let n(o) = 0*o - 92*o**2 - 117*o**2 + 207*o**2 - 3*o. What is s(n(y))?\nAnswer: 200*y**4 + 600*y**3 + 450*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3401?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 11*x - 23. Let j be t(-12). What is the fourth smallest value in j, -0.4, 1, 0.02?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of m**2\/2 + 12879. Let j be (-1 + 0)*(-32 + 2). Let t(h) = j*h**2 - 4 + 4. What is t(f(g))?\nAnswer: 30*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a + 2982 + 2509 - 5491 - 3*a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 - 0.1. Let p = 136 - 79. Let l = 170\/3 - p. What is the biggest value in 1\/10, c, l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -34, -33, -32, -31, -30, -29?\n\"Answer: c - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 270744 at least as big as 120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -n**5\/20 + n**4\/12 + 20*n. Find u such that l(u) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 143*r**3 + 2*r - 132. Let q(u) = -287*u**3 - 3*u + 266. Let d(x) = -7*a(x) - 4*q(x). Find the first derivative of d(s) wrt s.\nAnswer: 441*s**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/20 + (-49)\/(-5). Let k(g) = -g**3 + 8*g**2 + 13*g - 11. Is 20 a factor of k(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 22*a + 91. Determine g(16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10002201 (base 3) to base 4\nAnswer: 203110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 12:12 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -r**5\/4 - r**3\/6 + r**2\/2 - 2*r. Let a be z(1). Let o = 0 - a. Does 3 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 30.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3012647711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3021531745 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/10 of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 29*x**2 - 22*x - 639. Let n be a(27). Which is greater: 216 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n + 4 + 74. Let a = -142 - -237. Let j = 109 - a. Which is smaller: j or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -2. Suppose 2*z + 3 = w*z. Suppose 74576*u + 84 = 74597*u. Which is the nearest to -2? (a) z (b) -1\/4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 4*y - o, 0 = -9*y + 2*o - 5*o - 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.024+-131\nAnswer: -131.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*b*c - 14253*b - 14882*c wrt b?\nAnswer: -2*c - 14253","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*p = 197, 6*p - p + 98 = -2*r. Let k = r - -62. Let -3*y**4 - 8*y**5 + 3*y**2 - 8*y - y**4 + y**2 + 4*y**5 + 12*y**k = 0. Calculate y.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 8. Suppose 0 - c = -5*a. Does a = 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3276, -4.\nAnswer: -3276, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vzwzwwvczvv. What is prob of sequence zwc?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 3*o - 3, -2*h = -2*o - h + 1. Let w = o + -2. List the prime factors of (6\/(-7))\/(w\/14).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*m + 3*n = -6, 2*n = m - 2. Differentiate -1 - 2*y**m + 2*y**3 + 2*y**2 with respect to y.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -6*v**2 - 7*v + 4. Let c(d) = -5*d + 19 - 16 + 0*d**2 - 4*d**2 + 0*d. Let g(q) = 7*c(q) - 5*o(q). Is 17 a factor of g(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3)*(-1)\/(-1)*-3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 + -57. Let s = w + 19. Let d be 0 + -1*(-3)\/(-6). Which is bigger: d or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvbajbvbajbjvbabba. Give prob of picking 2 v.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 3 + -2 + 1. Suppose 0 = -5*y + 3*o - 16, 0 = -0*y + 3*y + s*o + 2. Is 37 + 0*y\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3194929841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (118 + (-24990)\/210)*(-47 + 0)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -20, -84\/17, 3?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67*j - 23*j**3 + 67*j)*(-2 - 1 + 1).\nAnswer: 46*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*s + 138495 + 231336 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 take away 595?\nAnswer: -588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 53*o + 158. Let h be z(-50). Is h at least 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((2 - 3) + 480)\/533*1. Let t = y - -1\/41. Solve 4\/13*g**5 + 2\/13*g**2 + 2\/13*g**4 + 0 + 4\/13*g - t*g**3 = 0 for g.\nAnswer: -2, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 4*o + 10. Find the third derivative of -o*n**4 + 3*n**4 + 4*n - 4*n + 2*n**2 wrt n.\nAnswer: -48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15078 by -5656.\nAnswer: 1077\/404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43036471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10207156*y**4 - 18947341 wrt y.\nAnswer: 40828624*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 282992 divided by 16.\nAnswer: 17687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2778 take away 12?\nAnswer: -2790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2834 is divided by 809.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1\/p)**(4\/9)\/(p\/(p**(-3\/4)*p)*p**3)*(p\/(p*p**(-6\/7))*(p*p**(-4))\/p)**13 assuming p is positive.\nAnswer: p**(-1249\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**3 - 116*f**2 + 116*f - 96. Calculate the least common multiple of 2 and v(57).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 22\/(-5) + (-4)\/(-4)*4. Let n = -307\/4 - -2137\/28. Which is the third smallest value? (a) 0.4 (b) f (c) n (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 5*c + 1, 13 = -0*w + w - 5*c. Suppose -3*n = -2*n. Solve n - w = h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -77419, -77418, -77417, -77416, -77415, -77414?\n\"Answer: q - 77420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 7*n - 7. Suppose 1 = 2*q + 4*f - 3, -5*q = -2*f - 34. Let a(j) = 14 + 7 - 20*j - 8 + 7. Determine q*a(d) + 17*l(d).\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011 (base 2) to base 12.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 12, b: 2, i: 3}. What is prob of picking 2 i?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4495.656m to micrometers.\nAnswer: 4495656000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w - 2*w + 12*x - 64 = 0, -48*w + 30 = -53*w - 10*x + 14*x for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 - 1881*f**2 + 153759*f + 77350.\nAnswer: (f - 850)*(f - 91)*(2*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 865 divide 1805354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**4\/7 - 1986*m**3\/7 + 633768*m**2\/7 - 9033472*m - 27922944 = 0. Calculate m.\nAnswer: -3, 212, 392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4*a - 16 = 0, j - 4 = -0*j + a. Suppose 10 = 2*f - 3*y, j*f + 3*f - 16 = 5*y. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14006 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1664617.8 to the nearest one hundred thousand.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 1 = -4*r. Solve -p + r*p = 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 954*l - 209313. Calculate x(-184).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -887233, -1774751, -2662269, -3549787, -4437305?\n\"Answer: -887518*h + 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.87253355 rounded to four dps?\nAnswer: 0.8725","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -663*t**5\/5 - t**4\/6 + 211*t**2\/2 + 6502*t. What is the third derivative of d(q) wrt q?\nAnswer: -15912","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 + 0*z**2 + 11*z**2 to d*z + r*z**2 + i and give r.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 - (-5 + 2) - -3 - (-1248 - -1254)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 121*v - 4704. Let p be r(39). What is the greatest common factor of 8895 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-18)*(-25)\/((-125)\/30)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*h + 1 + 0*h + 2*h.\nAnswer: 79*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*sqrt(637))**2 + (1 + sqrt(52) + sqrt(13) - sqrt(13))**2*5.\nAnswer: 20*sqrt(13) + 903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 941*n - 109580. Calculate f(117).\nAnswer: 517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*m + 3*m + 15. Let v be -2*(6\/4 + -1). Which is the second smallest value? (a) m (b) 2\/11 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 1554.65632257545?\nAnswer: -1557.65632257545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25132947 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 721 or 9075?\nAnswer: 721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 + -41. Let u(c) be the first derivative of -1\/3*c**n - 4\/9*c**3 + 1\/9*c**6 + 2\/15*c**5 + 1\/3*c**2 + 2\/3*c - 1. Let u(w) = 0. Calculate w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 113525 and 228?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -12. What are the prime factors of 6*a\/(-4) + 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -w - 2. Suppose w + 9 = -5*t. Let m(j) = -j**3 - 5*j**2 - 3*j + 4. Calculate m(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -6*a**2. Let s(q) = 347*q**2 - 8. Let x(w) = 23250*w**2 - 540. Let l(r) = -135*s(r) + 2*x(r). Determine l(i(d)).\nAnswer: -12420*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.33838643 to two decimal places.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -337237410 divided by 159?\nAnswer: -2120990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (4 - 4) + -3 + -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 - 941226.72.\nAnswer: -941292.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 13*j**2 + 21*j + 155. What is g(15)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98, -200, -310, -434, -578, -748, -950, -1190?\nAnswer: -1474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -201.74 - -200. What is o rounded to one decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**3 + 5*p**2 + p + 3. Let l(b) = 3 - 3*b**3 + 4*b**3 + 2*b**2 - 2 + b. Let h = 5 + 49. Suppose -50*f + h*f = -8. What is f*y(s) + 5*l(s)?\nAnswer: s**3 + 3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c - 32. What is g(0)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 10:16 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18192 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (120\/(-16) - -9)*(178 - 0). Suppose -v = r - 69, 5*v - 4*r - 60 = z. What is the remainder when v is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*d**4 - 185*d**3 - 370*d**2 - 120*d = 0. What is d?\nAnswer: -4, -3, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-5)*27\/54.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -33*i**8\/14 + 3*i**5\/20 - 485*i**4\/6 - 2*i - 14. Find the third derivative of t(b) wrt b.\nAnswer: -15840*b**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 848 - 105151\/124. Which is smaller: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 203918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 + 6907*p - 6907*p.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*a - 7*a**2 - 21*a + 47*a.\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h - 8. Let n be f(-7). Let d = -1 + 5. Sort n, d, -10 in decreasing order.\nAnswer: d, n, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 1349*s**2 + 66*s - 196. Is q(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c**2 + 2*c. Let s(m) = -m**3 + 5*m**2 - 3*m + 14. Let k be s(5). Let x be q(k). Solve -z = 2, -3*z - 12 + x = d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/3))**(-1)*(z*z**3*z)\/z**(-2) assuming z is positive.\nAnswer: z**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 1296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-1\/2))**(-33))**(24\/11))**(2\/45) assuming p is positive.\nAnswer: p**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cv when two letters picked without replacement from ccvvcvvcccvv?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50.672 + -51. Let l = 243.672 - j. Sort l, -2\/13, 1\/5 in descending order.\nAnswer: l, 1\/5, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -235540 divided by -58885?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/14 + (-2)\/(-7). Suppose 2*s - 5*n - 30 = -4, -4*s + 8 = n. Suppose 5 - s = -2*x. Which is the second biggest value? (a) t (b) x (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - -7. Let b(y) = -y**2 - y - 15. Let z be b(0). Let i be l\/90 - z\/(-25). Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38379*l + 42 + 2*l**2 + 76627*l - 38248*l.\nAnswer: 2*l**2 + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k. Let o(g) = -5*g. Let m(x) = 2*x + 7. Let n be m(0). Let v(u) = -6*u. Let s(t) = n*o(t) - 6*v(t). Determine s(b(j)).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 4 = -26. Suppose z*o - 52 - 63 = 0. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -15 (b) -7 (c) -38 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -77*z**4\/12 - 571*z**3\/6 + z**2 + 43*z. What is the first derivative of k(v) wrt v?\nAnswer: -154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.3615672 + 0.977084.\nAnswer: 4.3386512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 g when four letters picked without replacement from {k: 3, g: 5, p: 1}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 7 - (-156)\/16.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -546 + 0*u + 10*u + 543 - 2*u + 3*u + 0*u + (-1 + 0 - 1)*(-u + 0 + 0).\nAnswer: 13*u - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-123)\/410*(-548)\/(-10275)?\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 8. Suppose -x*f - 72 = -6*f. What is the lowest common multiple of 2 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -125*g**2 + 41*g - 162. Let v be a(4). Is 2\/3 at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, x: 5, s: 2, h: 1, l: 2}. Give prob of picking 2 s.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2 - 1. Suppose 2*g - 17 = -f. Let r be (-21)\/56 + 27\/g. Solve 0*k + 4 = r*k + 5*a, 0 = 3*k + 3*a for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*w + 1 = 0, 0 = -3*s - w + 2 + 9. Solve s*b = -0*b - 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(-2*v + v + 0*v) + (0 - 2 + 1)*(2 + 6*v - 2).\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k. Suppose 189 = 10*c + 169. Let b(t) be the first derivative of 0*t + 8 + 0*t**c - 16\/3*t**3. Determine o(b(h)).\nAnswer: 32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 16*u**4\/3 + 685*u**3\/3 + 1183*u**2\/3 - 82*u = 0.\nAnswer: -41, -2, 0, 3\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 54612033?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ngc when three letters picked without replacement from {g: 2, c: 7, n: 9}?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2176 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.15783 - 0.15798263. What is y rounded to six dps?\nAnswer: -0.000153","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1471, 1456, 1457, 1486, 1555?\n\"Answer: 2*x**3 - 4*x**2 - 17*x + 1490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(sqrt(84)\/sqrt(7)) + 4.\nAnswer: 4 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1271921um in meters?\nAnswer: 0.0000001271921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**5\/60 + 295*z**2. Let j(t) = -2*t**2 - 12. Give j(v(i)).\nAnswer: -2*i**4 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(1008) + 3 + 5.\nAnswer: 13 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i**3 + 3*i**3 - 4*i**3)*(318 - 818 - 233) in the form n + f*i**3 + v*i**2 + y*i and give f.\nAnswer: -733","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 555.\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-45)\/(-8))*8\/(-30).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4030729?\nAnswer: 83, 48563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*t - 4, -2*d - 2*t = -3*d - 4. Suppose -2*c + 173 - 7 = d. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04 + 4.96. What is the closest to -1 in 2\/13, f, -3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -510, -1741, -4470, -9447, -17422, -29145?\n\"Answer: -125*r**3 + r**2 - 359*r - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75271826*z + 10180*z**3 + 75271826*z - 1 + 1.\nAnswer: 10180*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 20.08088 hours?\nAnswer: 72291168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-11))\/((j*j\/j**4*j)\/j))**(-6\/13)\/((j\/(j*j**(2\/15)))**(2\/43))**(-9) assuming j is positive.\nAnswer: j**(-18216\/2795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bybjbbbbbbbbbbbyb?\nAnswer: 91\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 515809676*n - 515809676*n + 3*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50939*l**2 + 25477*l**2 + 25466*l**2.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 25*c**2 + 7*c. Let z(w) = -51*w**2 - 13*w. Determine 11*a(y) + 6*z(y).\nAnswer: -31*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*k - 10, 10 = -2*i - 6*k + 2*k. Factor -2*w**3 + 5*w**i - 6*w**5 - 2*w**3 + 20*w**4 - 8*w**5.\nAnswer: -w**3*(w - 2)*(9*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1880 - -2706. What is the second derivative of -2*a + 3*a - 112*a**4 + 4579 - n + 19*a**4 wrt a?\nAnswer: -1116*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 11)*(5 + 45\/(-10)) + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/4*(-9 - -5). Let f be (-2)\/r - 2\/15. Suppose f = 5*j - 23 - 12. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**3 - 51*n**2 - 25*n - 29. Determine m(26).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 499, 997, 1497, 1999?\n\"Answer: o**2 + 495*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(-2)*(98 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + g = 15, 2*g = -2*g. Let y = 230 - 135. Suppose y = w*l + 2*l. Is 14 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 277 - 189. Let b(w) = -12*w + 11. Let x be b(0). What is the greatest common divisor of x and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 15. Let s = 15 + u. Solve -4*w + 5*m - 24 = s, 4*w - m = -w - 9 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10111112212 (base 3) to base 7\nAnswer: 404645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -h**3 - h. Let b(z) = 5 - z - 9*z + 4 + 3. Let i(f) = -4*f + 5. Let v(y) = -5*b(y) + 12*i(y). Give j(v(l)).\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-2)\/(-11))*(-4)\/(-32)*8.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (182\/29939*94)\/(1\/(-5))?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 24*z - 53*z + 6 + 16*z. Let h be k(-14). Calculate the least common multiple of (96\/h)\/(4\/(-2)) and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 6:57 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - a - 31 + 26 = 0, 0 = 4*o + a + 7 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 1 - 1 = 0. Suppose -a*f = -4*f + 6. What is the derivative of -7*u**3 + 4*u**f - 5 + 3*u**3 - u**4 wrt u?\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 468, 3 in descending order.\nAnswer: 468, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-318)\/(-2968))\/((-105)\/6*(-9)\/42)?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**4 - 476*k**3 + 1410*k**2 + 8*k - 1880 = 0.\nAnswer: -1, 2, 235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.03 - -0.63. Let i = 1.1 - o. What is the closest to 1 in 1, i, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 4 (c) -4 (d) -58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fourty-nine fifths of a meter?\nAnswer: 980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6052*b - 3339*b - 419174 = 219414 for b.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -76 (b) -1\/4 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 6*t**2 - 4*t - 5. Let w be z(4). Let b = 2 - 2. Suppose b = -2*j - 0*j + 110. What is the highest common divisor of j and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 74 - 58. Let q be 12\/36 + 58\/6. Let l = q - n. What is the closest to -1 in l, -1\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.5, 1\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*x - x + 14, 5*x + 51 = 3*d. Let g be (-84)\/378 - (-2)\/x*-1. Suppose c = -4*c + 10. Solve c*k - 3 - 5 = g for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6*(-2)\/(4\/(-47))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 112, -41, -850, -2651, -5780, -10573, -17366, -26495?\n\"Answer: -56*y**3 + 8*y**2 + 215*y - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + (29 - -17) - 20.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1559*n**3 + 2*n + 3106*n**3 - 1196*n**3 in the form h*n**2 + p*n**3 + z + v*n and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 + 0 - 29)*(1 + 2 + 1)*(-1 + 2*l + 1) in the form c + v*l and give v.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*q + 8*q = -17496. Suppose 3*k - 456 = q. Round k to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33435 and 585.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 8*r**2 - 6*r + 22. Let i be t(9). Let c be (-78)\/(-21) + 14\/i. Solve 0 = -c*z - 5 - 3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009654962 rounded to five decimal places?\nAnswer: -0.00097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/245 + 2 + 48\/(-21)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 75 - 72. Let h = -156 + 166. Solve -5*x + j*k - k - 6 = 0, -3*x = 2*k + h for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 11*u + 23. Suppose 4*w - 4 = -2*g, 147 = -3*g + 3*w + 180. Give k(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-18)\/15)\/(582\/(-145) - -4). Let b = v - 45. Suppose -5*l - 31 = -61. Calculate the highest common divisor of l and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220631037827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 34536 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r + 0 + 0 + (-2 + 1 + 0)*(-4*r + 0*r + 6*r) + 3642*r + 3653*r - 7278*r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11255 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 3. Let t = u - -11. Suppose 15*a + 4*a = 152. Solve 3*o - t = -16, -4*d - 5*o - a = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9711 - -9716. Solve t + j = -0 - w, -25 = -4*t + 5*j for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 92 (b) 3 (c) -5 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1505 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24*r + 0*r + 28*r)*(-3 - 1 + 2) + r - 1 + 1 to y + k*r and give k.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - 4.1. What is the closest to -2\/9 in 0, 1, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 4*m**2 - 6*m - 9. Let a be y(-2). Suppose -5*h - 6 = -1. Let l = h - 0. Put l, a, 1 in decreasing order.\nAnswer: 1, l, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 11:06 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/12)\/(2\/(-8)). Let l = 2334 - 2334. Which is the third smallest value? (a) q (b) l (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34*t**5 - 437*t**4 + 2*t**3 + 10*t - 697.\nAnswer: -680*t**3 - 5244*t**2 + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 18 + 4. Suppose -5*s - h - 23 = 0. Let k be (-1 + (-4)\/(-16)*2)*s. Let z(t) = 11*t. Let r(y) = -4*y. Calculate k*z(f) + 8*r(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -290 - -290. Solve -2*u + b - 1 = d, 3*b = 3*u - 0*b + 9 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hdhccme. What is prob of picking 1 e and 1 h?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-11 - -22) + (7 - 4 - 9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3*181\/(-2) + (-2)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3365*m**3 - 1090*m wrt m?\nAnswer: 20190*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9792085 divided by -3.\nAnswer: -9792085\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 3*n**2 + 1 + 4 as g*n**2 + q*n + t and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 289620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 4*d + 21 = -5*h, 2*d - 6 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1143*t + 799 - 380 - 333*t - 419.\nAnswer: -1476*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31785, -63591, -95387, -127167, -158925, -190655, -222351?\nAnswer: -254007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 55*x + 309. What is w(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -19*v + 16594. Let f(d) = -4*d + 3317. Calculate -14*f(i) + 3*q(i).\nAnswer: -i + 3344","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + -1)*5*1)**2.\nAnswer: -50*sqrt(5) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1803 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 greatest common factor of 146315 and 1120?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-4)\/5)\/(((-8200)\/3750)\/(-164))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 42 - 50?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -5*r - 5, -m - 5*r = -32 + 12. Suppose 3*p - m*y - 66 = 0, 4*p + p + 5*y = 150. Calculate the greatest common divisor of p and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -65848 and 18951345.\nAnswer: 18885497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 7*w**5\/10 + 19*w**2\/2 + 19*w. Differentiate p(l) with respect to l.\nAnswer: 42*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 3*k - 14*k**3 + 10 + 4*k**2 - 2*k**3 - 1 - 5 to the form x + m*k + a*k**2 + b*k**3 and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1742384?\nAnswer: 2, 7, 47, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2343.083845 rounded to one dp?\nAnswer: -2343.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -141 + 4?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 21, 1\/11, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8962 is divided by 138.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 6:04 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1037, 2130, 3223, 4316, 5409, 6502?\n\"Answer: 1093*c - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16)\/sqrt(4)*-4)\/sqrt(2))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 - 120 = 4*j. Calculate the greatest common divisor of j and 500.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 - ((-16 - (-18 - -9) - 8) + -3 + 12)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -5*a - 3*o + 5, -5*o = 25. Suppose 0 = -a*c + 2*c + 76. Let s = c - 38. Solve s = -w - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -3 + (-24)\/20?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2410399623 to the power of 1\/2, to the nearest integer?\nAnswer: 49096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -60719.40944 + -66523.38924. Let o = r - -127238. Let x = 4.8 + o. Round x to four decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 + 13*f - 4. Let u(r) = 2*r**2 + 12*r - 3. Calculate -4*t(k) + 5*u(k).\nAnswer: 2*k**2 + 8*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -690*g**3 + 48*g + 24. Let h(k) = 138*k**3 - 10*k - 5. Calculate -24*h(r) - 5*y(r).\nAnswer: 138*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28.75579848 + -4796.\nAnswer: -4767.24420152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16252555?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 28 + 35. Suppose -4*t + 93 - w = 0. Suppose -20 = -2*p + t. What are the prime factors of p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 2*p - 77. What is the remainder when 673 is divided by s(11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1559 - 1551.49. Let p = -17491 + 17498. Let j = f - p. Round j to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 7*v + 7. Let c be s(-7). Solve 4*d - c*d + 6 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336240.\nAnswer: 2, 3, 5, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 19*v**2 + v - 6. Let i(a) = -20*a**2 - a + 7. Give 6*i(n) + 7*w(n).\nAnswer: 13*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 3:08 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 5*x**2 - x - 8. Give q(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 526869915 and 2145?\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14847 and 4?\nAnswer: 59388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2824, 1\/2, 0.23?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 333 and 4625.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*u = 101*u + 133*u. Which is smaller: -253 or u?\nAnswer: -253","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1199*g = -1203*g + 24 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a. Let v be ((-3)\/(-5))\/((-1)\/(-15)). Let n be u(v). Find the second derivative of h**4 + 0*h**4 + 8*h**4 - n*h - h**4 wrt h.\nAnswer: 96*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 152 (base 10) to base 16.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 2039599*n - 5 + 4079197*n - 2039594*n.\nAnswer: 4*n - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*l**3 + 3*l**3 + 158 + 6 + 118*l**3 - 110*l**3 + 124.\nAnswer: l**3 + 288","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1269437.\nAnswer: 13, 97649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 5, 32 in descending order.\nAnswer: 32, 5, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02 + -1.18. Let z = 1.2 - 1. Let y = g + z. Is 0.1 != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = -3*m. Let b(f) = 8*f**2 + 2*f. Let d be b(m). What is the highest common factor of d and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 1:57 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 + 2*a**4 - 7*a**2 + a**2.\nAnswer: 2*a**2*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 325 = 4*z + z. Suppose 4*k = -k + z. What is the remainder when k is divided by 2\/(-6) + (-26)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 3*w. Let y be 2 + (w - 0) - -540. List the prime factors of y\/26 - 10\/(-65).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -77*k + 99*k - 24*k**2 + 3*k**2 + 0*k**2 in the form c*k + g + m*k**2 and give m.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234 is divided by 41.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -165, -179, -189, -195?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -543046 divided by 6874.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 71 = -j + 3*d, -5*j + 220 = 2*d. Let w = -50 + j. Let y(p) = -p**3 - 4*p**2 - 2*p. Calculate y(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2314\/208 + (-1)\/2 and 95\/46?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 13*y**2 - 2*y + 4. Let k be t(3). Suppose 0 = -g - 4*g + k. What is the remainder when 91 is divided by g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2.1 (b) 3\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1174*v - 1174*v + 32 - 32 - 16*v**2.\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -13. Let b(d) = -d + 1. Determine -5*b(i) + r(i).\nAnswer: 5*i - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -14185\/3, 16, -3, -0.4, 5, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-2) - (-1)\/2. Suppose -5 = -o*m + 4*m, -m - 17 = -4*p. Suppose 2*z + 4*i = 0, p*z + 18 = -0*z + 3*i. Sort 3, z, 2 in descending order.\nAnswer: 3, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1290, 3, 4, 7, -5 in descending order.\nAnswer: 7, 4, 3, -5, -1290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - z = -10, -z - 29 = -5*v + z. Suppose -2*r - 10 = -v*r. Solve 0 - 1\/6*u**r + 1\/6*u - 1\/6*u**3 + 1\/6*u**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + (-27)\/12)*4. Let h(y) = -y. Let n be h(r). Sort -3, 2, n.\nAnswer: -3, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 1)*(-2 - 2*z + 4*z - 3*z)*(4254*z - 4369*z - 2215*z) to m*z + u + y*z**2 and give y.\nAnswer: 6990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -5287743 to the nearest ten thousand.\nAnswer: -5290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34578950771\/4764 + -7258386. Find the common denominator of o and 61\/96.\nAnswer: 38112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -8*y + 1. Let l(n) = 2*n. Let p = -133 + 131. Calculate p*t(d) - 7*l(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 16*b - 1. What is the lowest common multiple of a(14) and 45?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-4752))\/(1\/9)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of j**6\/480 - 3*j**5\/160 - 5*j**3\/6 - j. Let a(h) be the second derivative of w(h). Factor a(u).\nAnswer: 3*u*(u - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7518, -15047, -22578, -30111, -37646, -45183, -52722?\nAnswer: -60263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -400.73*-0.214.\nAnswer: 85.75622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 h, and 1 a when three letters picked without replacement from vpthhhhahuh?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5*a**3 - 30*a**2 - 22*a - 126. Let q be u(-6). Solve -50*h = -53*h - q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 75846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23928, -23913, -23878, -23811, -23700?\nAnswer: -23533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*c + 231 + 41 = 0 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 3, 398 in decreasing order.\nAnswer: 398, 5, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i + 3*q + 24, 8 = -i - 3*q - 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 2*d + d - 2, -11 = 2*b - 5*d. Suppose -5*x + 15 = -5*j, 5*j = -x + 14 + 1. Let w = b - j. Solve 4*m = -w*t + 4, 3*m - 8*m - 8 = 3*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pgjjppgpp. What is prob of sequence jj?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -169499 + 290836. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p. Let m = -7 - -8. Let g(f) = 5*f - 4. Let a(b) = -3*b + 2. Let t(x) = 7*a(x) + 3*g(x). Calculate m*t(o) - 4*u(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*b + 26 - 28 - 99*b + 0*b - 4*b + 3*b + (-3 + 1 + 3)*(3*b - b + b).\nAnswer: -123*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*0.003.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*r**4 - 11*r**3 + 73*r**2 + 2*r.\nAnswer: -48*r - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1663 divide 7099573168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from 19243416229.\nAnswer: 19243416229.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 z, and 1 a when four letters picked without replacement from dhzhaah?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-4 + -2 + sqrt(5445))*-5)**2 + -1 + 5.\nAnswer: -8580*sqrt(5) + 136805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 146 + -146.79. Let d = l - -0.69. What is the third biggest value in d, 1, -11\/3?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 12*l - 9. Let d be i(-11). Suppose d*m - 6 + 1 = a, -5*m = -5*a - 10. Let q = 3\/16 - 59\/144. Which is greater: q or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/6*6\/(12\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 p when three letters picked without replacement from ppppbdpbbdppppp?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 + -3)*2\/4. Let n = b + 1. Solve -n*f - 4 = -0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*d**3*h**2 + 1002*d**3*h - 26*d**2*h**2 + 2*d**2*h + 2*d*h - 169*h**2 wrt d?\nAnswer: 66*h**2 + 6012*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 14329235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-30) - 38\/84. What is the closest to -1 in l, -0.1, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 12:58 PM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8.38 and 4176?\nAnswer: 4184.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1159 + 1183. Calculate the smallest common multiple of 120 and w.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 3*g + 0*g)*(g + 3*g - 3*g + 2*g + 0*g + 0*g + (-4 - 1 + 6)*(g + 4 - 4) + 2*g + 0 + 0 + 0*g - g - g + (2 + 2 - 3)*(-4*g - 13*g - 2*g))*(5 - 4 - 2).\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*k - 2*k. Let p be (-9)\/6*k\/3. Find the second derivative of 2*u + u**p + u**2 - 3*u wrt u.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153240 is divided by 298?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4534*o + 76612. What is w(17)?\nAnswer: -466","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(84)\/sqrt(12)*3)*5 - (-3*sqrt(96) + sqrt(6))\/(sqrt(2) - (sqrt(2) + -2*sqrt(8)\/sqrt(4))).\nAnswer: 43*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1122 (b) 3 (c) 13.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/2*-25*(-66)\/8250.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 30 - 0. Suppose 2 = -h + z. Suppose k = -3*k + h. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 not equal to -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06 and 0.00663.\nAnswer: -0.0003978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 1880*m + 14. Is r(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b3015 + 2?\nAnswer: -1b3013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 1)*(-t - t + 0*t + (3 - 4 + 0)*(-1 + 0 + 2)*(-5*t - 7*t + 19*t)).\nAnswer: 27*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of b**7\/1050 - b**6\/150 + b**5\/50 - b**4\/30 + b**3 + 6. Let i(j) be the third derivative of k(j). Factor i(d).\nAnswer: 4*(d - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -216 divided by -72\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*y + 1 = -119 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-18)*(-1 + 0). Suppose 4*s + 2*m + 9 - 3 = q, -3 = -3*m. Calculate the remainder when 68 is divided by -2 + 16\/4 + s + 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f + 11. Does 7 divide t(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zrrr when four letters picked without replacement from {z: 2, r: 6}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 4*o - 6. Let f = -13 - -7. Calculate r(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 400*x + 75. Let q(a) = 21*a + 4. Suppose 101*t = 176*t + 300. Determine t*r(c) + 75*q(c).\nAnswer: -25*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -22*i - 224. Determine l(-8).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 89431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 5*h + 8. Let v be q(10). Let c(m) = -5*m + 9. Let y = -11 + 7. Let k be c(y). Calculate the highest common divisor of k and v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 3428868?\nAnswer: 1\/3428868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.5 + -3. Let v(o) = o + 2. Let i be v(0). What is the biggest value in m, i, 0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**23\/(y\/((y\/(y**12\/y))\/y*y)) assuming y is positive.\nAnswer: y**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 627300 and 17000?\nAnswer: 6273000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**2 + 3*w - 2. Let z be l(0). Let y = 0.03 - -4.97. Let k = 0.03 - 1.03. What is the nearest to 0.1 in y, k, z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 952698.5 days?\nAnswer: 82313150400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17327211, 34654420, 51981629?\nAnswer: 69308838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiniiiiiiiniiiiin. Give prob of sequence in.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.02 + -0.12. Let i = -1.96 + 1.88. Let t = -0.052 - -0.352. What is the closest to i in t, -3\/4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*j**3 - 621*j + 17*j**2 + 306*j + 318*j + 1 - 35*j**3 as r*j + h*j**2 + u*j**3 + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 18*l - 13*l = -2*k + 2*l - 6, 0 = 2*k - 28*l + 19*l - 12 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**4*y)**(7\/8)*(y\/((y**(-1\/25)*y)\/y))\/y*y**(6\/11) assuming y is positive.\nAnswer: y**(14763\/2200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 138, 3, 1094 in increasing order.\nAnswer: 3, 138, 1094","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -875433?\nAnswer: -87542a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b*i*x**4 - 9*b*x**3 - b*x - 11*i*x**2 + 24*i*x - 10*x**5 wrt x?\nAnswer: 24*b*i*x - 54*b - 600*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 64 - 18. Suppose -10*l + 5*l = -15. Suppose 58 = l*g + 10. Calculate the remainder when f is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*((0 - 1) + 3). Suppose 2*s = i*s - 24. Let c = -1 + 11. What is the remainder when c is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10\/7, 0.3, -5, 126.8?\nAnswer: 126.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - f**2 - 4. Suppose 4*w + 24 = -0*u + u, 3*w + 45 = 3*u. Let c be (u\/9 - 1)*0. Determine x(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4317?\nAnswer: 3, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 110 (b) 1 (c) 0.9 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 11*d**2 + 222*d + 39. Let r be i(-20). Let a(w) be the third derivative of w**6\/10 + w**5\/60 - w**4\/12 - w**3\/3 - w**2. Calculate a(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13399?\nAnswer: 13399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - (5 - 15)) + -4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -13*w - 1. Let z be h(0). Suppose -4*t = 2*t + 12. Sort t, 0, z in increasing order.\nAnswer: t, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8442 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000131314 to six decimal places.\nAnswer: 0.000131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3025 and 157300.\nAnswer: 157300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, b: 4, s: 3}. What is prob of picking 2 p?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -132, -311, -802, -1761, -3344, -5707?\nAnswer: -9006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 10*y**2 - 7*y + 11. Let d be a(11). Suppose -d = 5*o - 16*o. Sort -5, o, 1, 2 in ascending order.\nAnswer: -5, 1, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42505 (base 7) to base 15.\nAnswer: 31ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 490, 493, 496?\n\"Answer: 3*z + 487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/120*-15*-11.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5022700*b**2*l**3 - 2*b*l**2 - 6*b*l + 8073*b - 4*l**3 + 2*l**2 wrt b?\nAnswer: 10045400*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41684?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*l - 26 = 31*l. Suppose 15*h - x - 4550 = 12*h, 0 = 2*h - l*x - 3032. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1693 = -4*t + 4*v - 1649, 0 = -6*t - 3*v + 57 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -0.5. Let g = -0.72 + 1.02. Let y = j + g. Which is the second smallest value? (a) 2\/15 (b) 0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 76.26 - 72.26. Let r = -2.2 - -2.4. Put -4, q, r, 0.15 in decreasing order.\nAnswer: q, r, 0.15, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**4 - 3*r**4 + 3*r**4 + (-2*r + 2 - 2)*(-2*r + r**3 + 2*r) + (-28*r + 28*r - 38*r**3)*(-3*r - 5*r + 5*r).\nAnswer: 113*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*1964.\nAnswer: -196.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20.07 and 4.097.\nAnswer: 82.22679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2 + 71*t - 469. What is the remainder when 1710 is divided by g(10)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((4 + (sqrt(931) - 4*(sqrt(931) + 3)))*-2)**2.\nAnswer: 1344*sqrt(19) + 33773","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21053773 is divided by 269920.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9641520 is divided by 6631.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000284088897 rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -10, -0.1, 759, 0, -13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 4:01 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - (4 - (-28 + 34) - 107)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-2)\/(-4)*5\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.201 and 4.\nAnswer: 0.804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + -11. Let g be ((-36)\/b)\/((-2)\/(-28)). Find the third derivative of 8*m**3 - 14*m**2 + g*m - 21*m wrt m.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 5*p + 11588 - 11511, 53 = -c - 3*p for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -541, -540, -539, -538, -537?\n\"Answer: d - 542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128471 is divided by 13934.\nAnswer: 3065","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 o when two letters picked without replacement from uoqoouoss?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 22452109 to the power of 1\/2, to the nearest integer?\nAnswer: 4738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 3\/7 (c) -3 (d) -4 (e) -51.56 (f) -44\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 29?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -1061*l + 3. What is the hundreds digit of s(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12927000 to the nearest one hundred thousand.\nAnswer: -12900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 7878, 5, -1, 7.\nAnswer: -1, 0, 5, 7, 7878","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-3\/4)*m\/(m*m**(16\/5)*m)*m**(4\/9)*m*m*m**17 assuming m is positive.\nAnswer: m**(2609\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + 30. Let l = t - 8. Let x(v) be the second derivative of -v**3\/6 + v. Give x(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -174*q**2 - 4*q + 5. Let t(d) = 1224*d**2 + 29*d - 36. Let f(h) = 29*l(h) + 4*t(h). Let y(i) = 4*i**2. What is f(y(m))?\nAnswer: -2400*m**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 22 = -2*r, 4*l + 4 = -2*r - 2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r. Let i(b) = -2*b. Suppose 3*a + 6 + 0 = 0. Suppose -3*v = -2*p + 8, -4*p = 10*v - 15*v - 12. What is a*c(q) + p*i(q)?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49249, -49227, -49183, -49111, -49005, -48859, -48667?\nAnswer: -48423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 280*f**2 + 176*f + 49290. Give y(-280).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of r**5\/5 - 5*r**4\/4 - r**3\/3 + 5*r**2\/2 - 49. Factor j(g).\nAnswer: g*(g - 5)*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x - 17. Let u be b(7). Let z(m) be the first derivative of -m**2\/2 - 3*m - 60. What is z(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*u + 2*u. Suppose -4*a - 5*h + u = -17, 2*a - 5*h = -6. Solve -y + 3*d - 3 = 0, 2*y + a*d = 15 - 5 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 - 0.7. Let d = 0.5 - 2.5. Let f be ((-132)\/(-70) - 2)\/((-1)\/5). Which is the closest to z? (a) 2\/11 (b) f (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 + 48. Suppose -2*u + 34 = 2*v, -3*v + 17 = -5*u - 18. Suppose o = -2*o - l + 17, v = 5*o - x*l. Solve -2*y = -3*j + 5 - 4, j + 11 = -o*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 156*f**5 - 112*f**5 - 98*f**5 - 25*f wrt f.\nAnswer: -1080*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45684 bigger than 639589\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242*t**3\/3 + 1276*t**2\/3 + 744*t + 432 = 0. Calculate t.\nAnswer: -2, -18\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 41 = 39. Is -187 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/8)\/(3\/(-12)). Let p(f) = 2711*f**3 - 3*f**2 + 4*f. Let i be p(3). Suppose i = -h*r - 106818. What is r rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74662*x + 76619*x = 70452 for x.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -207 times -1343.6\nAnswer: 278125.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5\/16 (b) 5 (c) -225 (d) -17 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -61, -210, -467, -832, -1305, -1886, -2575?\n\"Answer: -54*a**2 + 13*a - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**4\/9 - 583924*q**3\/9 + 42623824144*q**2\/9 - 426165837824*q\/9 - 340943881216\/3 = 0.\nAnswer: -2, 12, 145976","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -w + 2 - 2*w - 6*w**2 - 24*w**2. What is the units digit of k(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 11*k**3 - 40*k**2 + 66*k - 83. Let n(y) = -4*y**3 + 13*y**2 - 22*y + 28. Let s(b) = -3*a(b) - 8*n(b). What are the prime factors of s(14)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - -2. Let d(r) = r**3 - 8*r**2 + 11*r - 25. Let f be d(q). Suppose 5*k = -3*o + 7687, 5*o - 7228 - 5629 = f*k. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -z - 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2. Let m(f) = -10*f**2 + 5*f - 5. Calculate m(q) - 4*p(q).\nAnswer: -2*q**2 + 5*q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 5*y + 10 = 0, 4*a - 5*y + 13 - 48 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -o**3\/2 + 13*o**2\/2 + 6*o. Suppose -3*b + 28 = -b. Calculate the remainder when z(-9) is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 + b**2 - 3*b**2)*((-1 + 1 + 2*b**2)*(-2*b - 2*b + 6*b) - 3*b**3 - 2*b**3 + 4*b**3 + 3*b**3 - b**3 + 0*b**3).\nAnswer: -20*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9718758 and 1176?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - y - 1)*((2 - 1 + 2)*(2*y - 4*y + 0*y) - y + 3*y + 0*y + (-2*y + 4*y - 4*y)*(5 - 3 + 0)).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 11*b + 36. Let q(n) = n**2 - 12*n + 35. Let s(d) = -2*f(d) + 3*q(d). Let z be s(13). Solve 0 = 4*k - k, -k = 5*h + z for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 6*u + 4*z - 18852, 12561 = 2*u + 5*z. Let k = 88105\/14 - u. Find the common denominator of -77\/20 and k.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1509.89*1.9.\nAnswer: 2868.791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 - -35. Let x(c) = 3*c + 0*c + 1 - c**z - 40*c**3 - 2*c. What are the prime factors of x(-1)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -4*y**3 + 10164*y**2 + 287620*y + 277452 = 0.\nAnswer: -27, -1, 2569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -3*j. Let h be (0 - j) + (6 - -2). Suppose -4*r = 5*x + 12 + 4, 5*x = -2*r - h. Solve x = w - 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4574 + 393?\nAnswer: -41b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 69602480.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - 39.20502138.\nAnswer: -44.20502138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 3*j**3 + j)*(1 - 2 + 5)*(1 + 7 - 4).\nAnswer: -48*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 49195119 less than 0.01?\nAnswer: -49195118.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w + 7. Let v(d) = 2*d - 10. Let u(y) = -7*c(y) - 5*v(y). Let r be u(2). Suppose 0 = -j + 10*j. Sort 3, j, r.\nAnswer: r, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 5*r + 3. Let a be 4\/((-8)\/(-6)) - -1. Suppose 3*j - 24 = 3*s, 3*j - 1 = a*s + 24. Suppose j*u + 20 = 2*u. Give q(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18741 + 9956. Let p = 954 - b. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 897173 (base 10) to base 4\nAnswer: 3123002111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 91 + -61. Let t = x + -25. Let j = 1.95 + 0.05. Which is the closest to 2\/9? (a) 4 (b) j (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 55939*n - 223659. Give k(4).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3*b = 31500, -o + 4*b + 7812 = -2706. Calculate the greatest common factor of 36 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -863\/11640 + -1\/120. Let l = 428\/485 + d. Factor -4\/5*a - l*a**2 + 0.\nAnswer: -4*a*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -325805061 to the nearest 1000000.\nAnswer: -326000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, -2, 1\/5, 166, 4?\nAnswer: 166","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n*n\/n**(1\/57)*n)\/n))\/(n**(-5\/4)\/n)*n**(3\/10)*n*n**(-12\/13)\/n assuming n is positive.\nAnswer: n**(9551\/14820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -18397, 1, 0.3, -1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -154 + -2636d?\nAnswer: -264c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 1301*o - 17. Let x be d(-13). Let u = 31539 + x. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 - 3*w**2 - 2*w**2)*(-2*w**2 + 3*w**2 + 0*w**2) - 2*w**4 - 2*w**4 + 2*w**4 + 8 - 8 + 10*w**4.\nAnswer: 6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 102*c - 655. Let i be s(95). Solve t - 3*o - i = 0, -3*t - 3*o + 15 = 45 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 12, 4*j - 4 = 4*m - 44. Find the first derivative of 2*z**3 - 54*z + 54*z - m wrt z.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 5*w = 4, 3*c - 5*w + 8 = -4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -566910 by -94485.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 22 = 2*a + 3, -3*a - 5*z + 76 = 0. Suppose -o - 448 = -a*o. Calculate the least common multiple of 4 and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1144*b - 70 = -1158*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0056811015 to 5 dps.\nAnswer: 0.00568","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 132*(1512\/(-112) + 13)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0347+0.022637\nAnswer: -0.012063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84499.\nAnswer: 84499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.24251771 rounded to one dp?\nAnswer: -10.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16605870 or -16605868?\nAnswer: -16605868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 r when two letters picked without replacement from iiisrffinspn.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6287\/3 - 74\/111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17\/153 - 15640\/(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -26*n + 210. Let s be g(8). Let x(p) = 0 - p**2 + 3 + 9*p**3 - 4 + 5*p. What are the prime factors of x(s)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 6*q - 1. Let b be z(-5). Suppose k = b*o + 4*k + 19, -2*o - 11 = k. Let c = -5 - o. Solve -x = -0*x + c for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -363, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 117229776 or 117229779?\nAnswer: 117229776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/52*(12 - (5 + -3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30045355 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 3\/23, 12, 3, 1 in decreasing order.\nAnswer: 12, 3, 1, 3\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -7*d + 8*d. Let x(w) = 4 - 1 - 5*w + 1 - 14*w. Let b be x(d). What is the highest common factor of 32 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 + 48392*w - 292723208.\nAnswer: -2*(w - 12098)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 5*z + 4. Let p be y(-5). Let w(a) = a + 7. Let m = 10 + -15. Let g be w(m). Solve 0 = g*b - p*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-1 - -13)*(-18)\/24. Let t(j) = -258*j - 15. Is t(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 71194 - 318165988\/4469. Is 1 greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.06, 3\/5, -2, 0.4035, -0.4, -3\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*d + 4 = 38*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -y**7\/14 + 3*y**6\/5 - 39*y**5\/20 + 3*y**4 - 2*y**3 - 574*y + 2. Determine p so that z(p) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -68, -4, 0.4 in decreasing order.\nAnswer: 0.4, -4, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2*b - 74, 3*b + 5*n = 2*b - 11. Let y = b + 93. Let i = y - 62. Which is bigger: i or 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 144 and 396.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 7*w + 570 = 0. Let b be 6\/18 + w\/(-6). Is 2\/16 + 508\/b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144 and 6416?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8 and 2.8185262911237.\nAnswer: -5.1814737088763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 6:33 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(2 + 11\/(-6)). Let h(u) = -u**3 + 16*u**2 - 13*u + 7. Let f be h(15). Let s be f\/13 + 12\/78. What is the greatest common divisor of t and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 17 = 8. Suppose -d + c = x, -2*d = -x - 0 - 6. Suppose 5*f - 1 = -u, 125 = 2*u + 3*u - d*f. Calculate the greatest common divisor of 336 and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 54119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 597259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71087241?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o**3 + o - o**3 - 3*o + (-o**3 + 3*o**3 - o**3)*(0 - 4 + 2) - o**3 + 0*o**3 - 3*o**3 to r*o**2 + p + h*o + w*o**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 212493 bigger than 10.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 28 = -4*q, -12 = -d + q + 3*q. What is the highest common divisor of 50 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 6*a - 4*r - 69 = -a - 6*r, -117 = -7*a + 4*r for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 227260 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/7)*a\/(a\/a**(-7)))\/(a**(-6)*a*(a\/a**(-2))\/a))\/(a**(-1)\/(a*a**(-1))*((a*a**(-1\/3)\/a*a)\/a*a)**(-1\/9)) assuming a is positive.\nAnswer: a**(-580\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1230621, 1230611, 1230601?\n\"Answer: -10*y + 1230631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**2\/2 - 520219*s\/2 + 260110 = 0.\nAnswer: -520220, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-5 + sqrt(1100)*-2))**2.\nAnswer: 800*sqrt(11) + 17700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyttyttttyt. What is prob of picking 3 t?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -5*z - 47368226. Let x = 6284113 - z. What is x rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -390574.05 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + 8. Suppose 0 = -0*c + 4*c. Suppose -b = -2*x - 3*g + 20, 3*x + 5*g - 67 = c. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x. Let p(t) = -t**2 + 5*t - 5. Let c be p(2). Let l(n) be the first derivative of -1\/2*n**2 + 0*n + c. Determine d(l(h)).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -33, -86, -181, -318, -497?\n\"Answer: -21*a**2 + 10*a - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 0.516, 25\/2, -0.086?\nAnswer: -0.086","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 2\/51 (c) -6\/185\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.9? (a) 3\/11 (b) 0 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -787*x**3 - 241*x**3 + 3 + 1038*x**3.\nAnswer: 10*x**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6 - ((-6 - 0) + -12). Solve 8*m - g*m = -16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -156, -157, -158, -159, -160, -161?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2952241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 - 6*v**2 - 412 - v**2 + 7*v**2.\nAnswer: -v**2 - 412","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18577545.09799919 + -18577545. Let n = 8.8 - 8.702. Let r = n - d. Round r to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1496*o + 488*o**2 - 737*o - 594 - 758*o wrt o?\nAnswer: 976","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120011 (base 3) to base 13\nAnswer: -256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4\/125, 17, 2, -0.1, -2\/1099, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8494032 and 0.3.\nAnswer: 2548209.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*w**2 - 16*w**2 + 15*w**2)*(0*w + 3*w - w) - 10*w**3 + 5*w**3 - 4*w**3.\nAnswer: -33*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -1696*d - 1953*d + 38*d - 1823*d in the form i + o*d and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/21)*f\/f**(-1\/28)*(f\/(f\/((f*f**(-2\/25)*f*f)\/f)))**46 assuming f is positive.\nAnswer: f**(26821\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -9940000 to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q - 4. Let g(k) = k**3 + 7*k**2 - 31*k - 223. Let n be g(-7). Let w(z) be the first derivative of z**2 - 3*z + 1. Calculate n*w(p) + 4*t(p).\nAnswer: -4*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -746.9496 - 0.0504. Let u = -861.5 - q. Round u to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 6*d + 15. Let r be b(-10). Is -4*(-3 - r\/(-4)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10, 0.9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*n + 35831*n**4 + 1 - 35832*n**4 - 3*n**2 - 9*n**2 to s*n**3 + x*n + m*n**2 + o + p*n**4 and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**5 - 2484*s**4 - 139950*s**3 - 115080*s**2 + 1259307*s + 1236924 = 0. What is s?\nAnswer: -52, -3, -1, 3, 881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -499\/6293 - -3\/203. Let c = 527.6 + -528. What is the second smallest value in i, -0.2, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f + 4*f**2 - 15*f**2 + 2*f. Let c(v) = 2*v. Give c(d(s)).\nAnswer: -22*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 w when three letters picked without replacement from wwwwwuuwww?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (2580\/344 + -1 + (6 - 6))*-10\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 2*g - 6*g)*(3*g + 4 - 4) + 0*g**2 + 3*g**2 - g**2 + 2*g**2 + 0*g**2 + 0*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -8*o**2 - 8262*o - 24779. What is g(-3)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 92\/7 - 45\/315. Calculate the greatest common factor of 260 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393741620 a multiple of 510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a - 7. Let l(w) = -7*w + 15. Let o(r) = 5*h(r) + 3*l(r). Let s be o(-4). Suppose s*b - 1305 = 5*b. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09+-5.1039531436\nAnswer: -5.1939531436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.028 - -0.128. What is the closest to 52 in -2, d, -0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + 1 + (1181 - 1205)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-554402)\/7 + (-6)\/(-21). Round b to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 5*m**2 + 6*m + 4. Let k be s(-6). Suppose 33 = x + k. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**2\/2 + 234*w + 27378 = 0.\nAnswer: -234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 3*t - 32 = -6, 5*c - 12 = t for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/2)\/(45\/(-60)). Suppose 4*a = y + 6, 0 = -0*a - u*a - 2*y + 8. Suppose a*k + 23 = 25. Is k < -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35600, 35348, 35050, 34700, 34292?\nAnswer: 33820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*y**3 - y**2 + 87*y wrt y?\nAnswer: -102*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*j**2 + 33*j**4 + 11430*j + 5*j**2 - 11405*j wrt j.\nAnswer: 396*j**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1375*u - 1321*u + 691*u - 253*u)*(-1 + 4 - 2)*(0 + 0 + u) to the form w + t*u + m*u**2 and give m.\nAnswer: -2258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**2\/11 - 2220258*k\/11 - 11101240\/11 = 0?\nAnswer: -1110124, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2659611064.\nAnswer: 2, 11, 829, 36457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10382 and 406.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(r**2 - 2*r**4 - r**2) + 3*r**4 + 4*r**4 - 5*r**4.\nAnswer: 6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 40*g**2 - 11*g. Let o = -3500 + 3511. Let n(c) = 8*c**2 - 2*c. Determine o*n(d) - 2*j(d).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 859.57 rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (5 - ((6 - 2) + -5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 575 + -296. Let k = y - 119. Let x be 2\/5*-1*10 - -36. Calculate the greatest common factor of k and x.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 310459984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 129 divided by 3?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 1.42.\nAnswer: -1.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.59 + 0.6. Let x = 5.01 - k. Let y be 2*(-5)\/(20\/(-6)). Sort x, 1, y.\nAnswer: 1, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10854216 and 12060240.\nAnswer: 108542160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -1443\nAnswer: -288.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 860 - 535. Let f = w + -181. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2105.0377 and -556.\nAnswer: 1549.0377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2474890 is divided by 549.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000627761715 to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 31 = -2*i, 2*j = 2*i - 3 - 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 1 (c) 66 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11684 and 129.\nAnswer: 1507236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30320579 to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**2)**(-46)\/((s\/s**(-8))\/(s\/(s**(2\/21)*s))))**(-50) assuming s is positive.\nAnswer: s**(-38750\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100 (base 3) to base 9.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6966 divided by -1161.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (3*5*sqrt(20) + (sqrt(100) - -5*sqrt(100))\/sqrt(5))*4)**2 + 5.\nAnswer: 336*sqrt(5) + 141126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 65604 + 21464?\nAnswer: 120401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + r = 8. Let y = -19.5 - -13. Let n = -1.5 - y. What is the nearest to 0.1 in n, -0.3, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2869, -3238, -3595, -3934, -4249, -4534, -4783, -4990?\n\"Answer: c**3 - 376*c - 2494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.29 + 1.2. Let i = -0.004 + -0.006. Let j = a + i. Which is bigger: j or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -92 + 56. Let h = 360 + -156. Let i = -206 + h. Which is greater: o or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 8 = 2*w, -w = -2*z - 2*w + 8. Suppose -131 + 37 = z*n + 2*k, -86 = 3*n - 2*k. Does 2 divide (-1 - (4 - 0))*198\/n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64721 (base 10) to base 5\nAnswer: -4032341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -282 smaller than -238?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2023823.28021 + -41\nAnswer: -2023864.28021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26829291197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - w = -11, -16*k - 14 = -18*k - 4*w for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.99 - 0.01. Let g(z) = -z**2 - 20*z + 5. Let o be g(-20). What is the closest to -1 in i, o, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g**4 - 3*g**4 - g**4)*(0*g + 0*g - 2*g) - g**5 + 2*g**5 + g**5 - g**2 + g**5 + g**2 + g**5 + g**5 - 2*g**4 - 12*g**4.\nAnswer: g**5 - 14*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -540548, -1081095, -1621652, -2162225, -2702820, -3243443, -3784100, -4324797?\n\"Answer: -n**3 + n**2 - 540543*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -414 - 3?\nAnswer: -421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 65*l**3*y**2 + 1813*l**2*y + 7738902*l + 2*y**2 wrt l?\nAnswer: 390*l*y**2 + 3626*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l**4 - 55*l**5 - 8*l**2 + 9*l + 9*l**2 - 9*l - 1 + 16*l**5 wrt l.\nAnswer: -2340*l**2 + 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12623 + 5?\nAnswer: 12628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 192 and 736.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -30*r + 1. Let w(z) = -2*z - 1. What is 3*q(y) - 3*w(y)?\nAnswer: -84*y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 247314 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: Expand (0*j**2 + j**2 + j**2)*(1 - 4 + j + 2).\nAnswer: 2*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10054 - 10057. Let u = 0 + -0.1. Which is the third biggest value? (a) -22 (b) p (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 25 = 7. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of y**8\/448 + 5*y**7\/504 + y**6\/72 + y**4\/4 + 10*y**2 + 26*y. Let n(h) be the third derivative of i(h). Factor n(u).\nAnswer: 5*u*(u + 1)*(3*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30223*r**5 + 15*r**4*s - 4*r + 7*s + 4805 wrt r.\nAnswer: -604460*r**3 + 180*r**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18707624129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 3*n. Let b = -4 + 7. Let f be y(b). Let u(w) be the second derivative of w**4\/12 + w**3\/6 - w**2 - w. Determine u(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10510208 and 5255104?\nAnswer: 10510208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lr when two letters picked without replacement from {v: 2, r: 2, l: 1, x: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7541923 centuries to millennia.\nAnswer: 0.07541923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.6, 3, 1\/7 in increasing order.\nAnswer: -0.6, -0.2, 1\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-48)\/10)\/6)\/((-55)\/275).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of 5*r**8\/896 + 3*r**7\/40 + 21*r**6\/320 - 13*r**5\/10 - 21*r**4\/16 - 33*r**2 + 9. Find g, given that w(g) = 0.\nAnswer: -7, -3, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 661 = 2*y, -j - 2*j + 1955 = y. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -33 + -118?\nAnswer: -14b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(76)*-3 + sqrt(76) - (sqrt(19) - (1*sqrt(209) + sqrt(209))\/sqrt(11))) + 4).\nAnswer: -15*sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) + sqrt(156)*-3*-5 + sqrt(156) + -5*(sqrt(156) + sqrt(156) + sqrt(156)*-2))\/((sqrt(264)\/(sqrt(22)\/sqrt(2)))\/(1*sqrt(32))).\nAnswer: 68*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73 - -98. Which is bigger: o or -1\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d. Determine g(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44617*j = 2*b - 44621*j + 98, -262 = 5*b + 7*j for b.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 130007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(3969) - -1*sqrt(3969)))\/((sqrt(77) - (2*sqrt(77)*2 - sqrt(77)))\/sqrt(11)))**2.\nAnswer: 14175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llluuussusus. What is prob of sequence lssl?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.8346983 rounded to 3 decimal places?\nAnswer: -8.835","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/10*(-2 + -3). What is the biggest value in g, 2\/11, -2, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1458 and 46.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -s**8\/3920 + 23*s**3\/3 - 21. Let b(r) be the third derivative of v(r). Factor b(q).\nAnswer: -3*q**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1184*b - 2673*b + 950*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72, -75, -78, -81, -84?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5427644 and 10855288.\nAnswer: 10855288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 709665 and 264?\nAnswer: 5677320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-3)*(2 + -11). Suppose -7 + q = l. Suppose 7*u = -17 - 18. What is the third biggest value in u, -0.1, l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 59*j - 11 + 4.\nAnswer: 59*j - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 131 by 14.\nAnswer: 131\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 952 by 271.\nAnswer: 952\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18288304 and -5.\nAnswer: 91441520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1154904 and 4234648.\nAnswer: 12703944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 2*m - 3, 3*i - 1 = 2*m - 6. Suppose 113*d = 115*d + 2*j + 2, 3 = 3*j. Sort 6, m, d, -3 in descending order.\nAnswer: 6, m, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -535925 divided by 65.\nAnswer: -8245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 926 + 2584 = 78*l for l.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2267882 is divided by 717.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 + 3)\/4 - 9. Let m = 7 + w. Suppose 5*t + 6 = 3*t. Which is smaller: m or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(3\/5)\/a*a**(3\/7)*a\/(a**(1\/55)\/a)*(a\/((a\/(a\/(a*(a\/a**12)\/a))*a)\/a))\/a assuming a is positive.\nAnswer: a**(5009\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 8:10 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccc when four letters picked without replacement from {c: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*h + 73919 - 3799 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence upjj when four letters picked without replacement from upjjuuujujjujvjjuuj.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 255 - 249. Let u = -8 + m. Sort -0.4, -3\/5, u, -7 in increasing order.\nAnswer: -7, u, -3\/5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of s**5\/60 - 29*s**4\/24 - 26*s**3\/3 - 127*s**2. What is the units digit of c(34)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63 - -58. Sort 3, g, -2 in descending order.\nAnswer: 3, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/420 and 87\/8260?\nAnswer: 24780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3929, 7636, 11351, 15068, 18781, 22484, 26171, 29836?\n\"Answer: -u**3 + 10*u**2 + 3684*u + 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 1143168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 - 23. Suppose 147 = 3*n - 2*n - i, 20 = -b*i. Let d be (-4)\/n - 14\/91. What is the nearest to -0.3 in 0.2, 3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t = -3*d - 14*t + 26, 40 = 4*d + 4*t. Suppose 0 = 15*r - d*r - 3870. Does 30 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5993*q. Let w(x) = -2*x**2. What is w(b(m))?\nAnswer: -71832098*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 57, -15, 5, 53, 3, 2 in ascending order.\nAnswer: -15, 2, 3, 5, 53, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05477815731 - -9.2.\nAnswer: 9.25477815731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-14) + 44\/7. Suppose -8*n + 18 = 2*o - 6*n, 0 = -5*o + 3*n + 13. Let w = 185 - 182. Put o, m, w in ascending order.\nAnswer: w, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 49 in -4, -1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1597899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 3.48368.\nAnswer: 17.4184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 - v - 8*v**2 + 26*v**2 - 15*v**2 + 2*v**3 - 57*v**2 - v in the form y*v**3 + o + k*v**2 + n*v and give k.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -28767, -57528, -86281, -115026?\n\"Answer: 4*y**2 - 28773*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10428, 27984, 45540, 63096?\nAnswer: 80652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 5.4993.\nAnswer: 16.4979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16268 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 73*n - 75. What is o(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/32 - 1686\/1124?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 7*g**2 - 13*g - 20. Let h be l(19). Suppose 9*j = -6*j + h. List the prime factors of j.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by 89\nAnswer: -16\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) 5 (b) -4\/9 (c) 0.1 (d) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 424 and 48?\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/10*-1 - (-6061)\/290. Let s = g + -21. Calculate the common denominator of (5\/6)\/(2\/10) and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/13 (b) -0.5 (c) -4 (d) 0 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 415 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 894620100*-2\nAnswer: -1789240200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**5\/7 + 885*n**4\/7 + 897*n**3\/7 - 2661*n**2\/7 - 894*n\/7 + 1776\/7 = 0.\nAnswer: -2, -1, 1, 296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.93 - -0.07. Let t = 149.86 - 148.16. Put t, -2, u in decreasing order.\nAnswer: u, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001398940986 rounded to 7 decimal places?\nAnswer: 0.0013989","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5, 28, 65, 116, 181?\n\"Answer: 7*p**2 + 2*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309 = -2*d + 141. Calculate the smallest common multiple of d\/(1 + -5)*1 and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74 + 66. List the prime factors of w\/(-40) - 1658\/(-10).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41103 is divided by 39496.\nAnswer: 1607","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -229, -2153, -5361, -9853, -15629, -22689?\nAnswer: -31033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1\/6)*w)\/(w*w**(-3\/7)))**(8\/3) assuming w is positive.\nAnswer: w**(212\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3 + 3)*(1 - 2 - 1) + 3 - 2 - 2 - 5 + 3 + 1 + 1 - 3 + 3)*(-641 + 43*u**3 + 641)*(-3 + 1 + 3).\nAnswer: -215*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*f - 15 = 15, 0 = -2*s + 5*f + 34. Suppose 5*p - 6*p + 6 = 0. Calculate the remainder when s is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/45260 and -151\/1728.\nAnswer: 19552320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -37254 bigger than -37250?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 4*k = 5, 332*k + 10 = 2*r + 325*k for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-25) + 66\/110. Let d(q) = -1 + 4 - 1 + 6*q**2 - q. What is the lowest common multiple of 1 and d(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 122 + -124?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.12 + 0.06. Let o = -43875 - -43874.9399968. Let j = t - o. What is j rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 1. Let h(n) = 3*n**2 - 3. Let g(z) = 3*h(z) - 7*u(z). Let i be g(4). Let l = i + -11. List the prime factors of l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 12:59 AM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/513 and -52\/171.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i - 5 - 9. Solve 3*j - 3*y = 0, 5*j - i*y + 0*y = 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 6:36 PM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -947.9274581058 + 0.3.\nAnswer: -947.6274581058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3511*n = 3500*n - 88 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 275, 276, 277, 278, 279?\n\"Answer: q + 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -110, -279, -538, -887, -1326, -1855, -2474?\n\"Answer: -45*a**2 - 34*a - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*d - 7797 = 0, -6*d + d + 18 + 112 = 3*w - 227 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -4, 5, 0 in ascending order.\nAnswer: -14, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**5 + 4*v**5 - 8*v**5 + 2*v**4 + (2*v**2 - 7*v**2 + 3*v**2)*(0*v**2 + 0*v**2 - v**3).\nAnswer: -5*v**5 + 2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 6 = 5*y. List the prime factors of -12*(y\/(-4) - 2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 4:43 PM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000194812 rounded to 6 decimal places?\nAnswer: 0.000195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1052?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -88024 + 127495. What is the thousands digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/((f\/(f*f\/((f\/(f**(-14)\/f))\/f)))\/f))\/(f**(-13)\/f))\/(f**(-34)*f*f**(-8\/7)) assuming f is positive.\nAnswer: f**(260\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00202739068 rounded to 4 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5*w = 2*w + 18, s - 1 = -2*w. Suppose -i + 4*n = 26, -i + 2*n - n = s. Let z be 1*7 - 6\/i. Round z to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 5321792?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 11243?\nAnswer: 2\/11243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13)*-1 + 5 + 3 - -6*(sqrt(13) - (sqrt(13)*-2 + -1))) + (sqrt(1300) - -4*1*sqrt(1300)) + (-4*(1 + sqrt(1300)) - sqrt(1300))**2 + -4.\nAnswer: 467*sqrt(13) + 32526","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.762 - -33.19. Let s = t - -0.048. Let o = -42.9999902 + s. What is o rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9386515 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 4, k: 2, l: 1, m: 1, b: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.5736344022 from -10.\nAnswer: -12.5736344022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 2\/1083215?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4.8 (b) -1801 (c) 0.03 (d) 1\/348\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11178 - 44715\/4. Let b = 0 - 0.06. What is the nearest to -1 in b, c, -2\/17?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 12, 5*h = -5*w + 2*w - 89. Let g = h + 20. Let y = g - 3. Put 2, 3, y in descending order.\nAnswer: 3, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 119 + 14*w - 13*w**2 + 47 - 34*w. Let v(r) = -9*r**2 - 13*r + 111. Let k(m) = -7*v(m) + 5*x(m). What is the first derivative of k(y) wrt y?\nAnswer: -4*y - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, -2\/5, 0, -3\/4, 1.5 in ascending order.\nAnswer: -39, -3\/4, -2\/5, 0, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1841 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -43837\nAnswer: -21918.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 18*h**2 - 50*h - 25. Give r(14).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000116048442 rounded to 7 decimal places?\nAnswer: -0.0000116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8256 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.2 + 22.2. Let g = 135.36345 - 117.363. Let v = h - g. What is v rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -352.936 - -353. What is the second smallest value in 0.2, -3\/2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1312, -2045, -3236, -4873, -6944, -9437, -12340?\nAnswer: -15641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5019976 is divided by 836661.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.365 - -6.635. Which is the second biggest value? (a) y (b) -21 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/25? (a) 0.6 (b) -1778 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 2*k = 8. Let o(h) = h**2 + 25*h + 76. What is the least common multiple of k and o(-22)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -510 - -505. Which is the third smallest value? (a) 3\/7 (b) 0.4 (c) 17 (d) r (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 605.450549 + -605.15. Let s = d + -0.2992. What is s rounded to 4 decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61719*w**3 - 123318*w**3 + 61630*w**3.\nAnswer: 31*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**2. Let d = -6 + 8. Let w(o) = o**3 + o**2 - o + 1. Let b be w(1). Let m(f) = 2*f**2 - 3*f**d + 0*f**b. What is m(c(s))?\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -265042*g**2 + 265048*g**2 - g + g.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3967, 3986, 4003, 4018, 4031?\nAnswer: 4042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - s)*(3*s**2 + s**2 - 2*s**2) + 6*s**3 - 2*s**3 + 0*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -117*y + 1144. Is l(-33) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1125 - 3?\nAnswer: -1132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 4, 44.\nAnswer: 4, 10, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2148 divided by -1\nAnswer: 2148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -41643355 and 0.15.\nAnswer: -6246503.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 370 + -246. Let l = i - 81. Let o = 79 - l. Is 18 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -82 + 86. Differentiate -q**y + 14*q**4 - 8 + 9 - 28 wrt q.\nAnswer: 52*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/27 and 4\/363.\nAnswer: 3267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 18*o**2 + 25*o - 8. Is l(-21) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2410*o - 12352. What are the prime factors of j(9)?\nAnswer: 2, 7, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 70220 - 70213. Let t(d) = d**2. Let s be t(-2). Solve s*n = -n - 5, -4*b - n = -u for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 199114567?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 324410912 a multiple of 3316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2092 a factor of 709309336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11043 and 5975490?\nAnswer: 1227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -2 + -2 - (17 - 23)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 99*m - 52*m - 35*m**2 - 59*m**2 - 53*m in the form t*m**2 + g + j*m and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + w**2 - 5. Let i(n) = -9*n + 3*n + 5 + n**2 + 4. Let y be i(6). Suppose -s - d = 2*d - y, -d = 4*s - 3. Give z(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -5*v**2 + 18*v + 4. Calculate j(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - -3) + (-159)\/(-18)*4\/(-6). Let y(d) be the first derivative of -h*d**3 - 2*d**2 - 12*d - 5. Suppose y(l) = 0. Calculate l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p - 5*p + p + (2*p - p + 0*p)*(-1 - 4 + 3) + (-p - 2*p - p)*(-8 - 9 + 20).\nAnswer: -16*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011001 (base 2) in base 16?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -198, -204, -210, -216, -222, -228?\n\"Answer: -6*k - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 848 - 882 - 2*s + 2*s - 3*s**2. Let y(t) = -5*t**2. Determine y(p(u)).\nAnswer: -45*u**4 - 1020*u**2 - 5780","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*c - 24*c - 19*c + 5*c**3 + 78*c - 15*c.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/11? (a) 0.1 (b) -1\/6 (c) -1.34 (d) -14\/11 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 59?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00470062646 rounded to four decimal places?\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i + 16. Let h be u(7). Let m be h\/(-3) - (-2)\/3. Solve -4*v + m*w + 3*w = -20, -12 = -4*v + w for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -35\/24*m**4 + 0 + 0*m + 5*m**3 + 0*m**5 + 48*m**2 + 1\/24*m**6. Solve a(k) = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-16)*6\/(-9)*8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 51 times 19\nAnswer: 969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (73040110\/(-1880088))\/13. Let r = k + 7\/22382. Calculate the common denominator of 79\/24 and r.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11320240?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2393616 and 111?\nAnswer: 88563792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*d - 47 = 220*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 4:43 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2\/7 - 264*h\/7 + 9792.\nAnswer: -4*(h - 102)*(h + 168)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -143.4? (a) 2\/7 (b) 2\/5 (c) 0.179 (d) 1\/5 (e) 0 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**4 - 45600*i**3 - 81994440*i**2 + 328525120*i - 328707600 = 0. What is i?\nAnswer: -6654, -2470, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + -2)*5.\nAnswer: -10 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 61*o + 1141. Let f(n) = -31*n - 548. Let h(v) = -5*f(v) - 2*g(v). Calculate h(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 - -11 - (-5 + -2)) + -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 36360130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -628*t - 52926. Give v(-84).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g**2 + 4700*g + 427383. Determine i(-102).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35.66 + 36.66. Which is the third biggest value? (a) 1090 (b) 5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**3 - 23*u**2 + 61*u - 13. Give j(8).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 146697\/2 (b) -5 (c) -1\/5 (d) -0.4 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 12*d + 14*d + 12 = 0, 2*w - 22 = 3*d. Calculate the smallest common multiple of 20 and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**3 + 7*v**2 + 1296*v + 3865. Calculate g(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 893 is divided by 382.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -22369?\nAnswer: 1\/22369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 22\/(-24)) + 36\/27.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2554036203 + 7*t**3 - 2554036203.\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u - 8. Suppose 0 = 4*l + 2*b - 46, -l - 3*b - b + 29 = 0. Let v be ((-8)\/(-3))\/((-3)\/l). Let f be a(v). Let z(i) = -i + 7. What is z(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 150, 1527, 5350, 12843, 25230?\nAnswer: 43735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3383741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/8 + 10815\/280. Which is greater: 33 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4281 - -4301. Solve 5*j + x = 0, -5*c = -3*j - 2*j - 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 365*a**3*i**2 - 21*a**2*i**2 + 3*i**2 wrt a.\nAnswer: 2190*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2559 > -2557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4425, -3334, -2241, -1146, -49?\n\"Answer: m**2 + 1088*m - 5514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 30, 3*q + 133*p - 136*p - 46440 = 0. What is the greatest common divisor of q and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 5*q + 15. Let z be a(8). Let s = z + 57. Suppose -4*h = -s - 324. Is 35 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 84, -2, -18, -15, 120, -5 in decreasing order.\nAnswer: 120, 84, -2, -5, -15, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 42*o**4 - 6*o**3 - 39*o**3 + 510 + 45*o**3 with respect to o.\nAnswer: 168*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-21))\/(98\/2058). Suppose 2*k - 5*k = -849. Suppose -6*j - 4*v + 155 = -5*j, r*j = v + k. List the prime factors of j.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 11*x - 19. Let f(a) = -47*a + 158. Let j be f(8). Let g = j - -226. Determine z(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 0*u + 9*u)*(-3 - u + 3)*(-44*u**2 + 74*u**3 + 44*u**2).\nAnswer: -592*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9339177 millennia in months?\nAnswer: 11207.0124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 16. Suppose b*n + 8 = 41. Suppose 3*p + 5*m - 9 = 2*m, n = 4*p + 3*m. What is the remainder when 5 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7800)\/5304)\/((-24)\/68)?\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 161 - 161. What is the closest to x in 0.4, 3\/10, 3?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 410, 566 in decreasing order.\nAnswer: 566, 410, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48 - 181. Let s = q - -228.76. Which is the third smallest value? (a) 0.3 (b) -4 (c) -1 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60109601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -r - 75. Let c be 2\/(12\/r) + 3. Is 0.5 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**2\/6 - 5098*t\/3 + 68240 = 0.\nAnswer: -10236, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -7, -5, 0.3, 0.4, -18, 0, -17\/28?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/2)\/((-140)\/(-80)). Which is smaller: f or 34\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7\/92, 0.1026, -1\/3?\nAnswer: 0.1026","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -72*k**3 - 15*k**2 - 36*k - 8. Let o be w(-2). Calculate the highest common factor of o and 1595.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 138*q**2 + 1230*q - 8906. Calculate c(129).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19470*m**2*x**3 - 64934*m**2*x**2 - m*x**2 wrt x.\nAnswer: 116820*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 5457.\nAnswer: 16371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -h**5\/60 - h**4\/24 - h**3\/2 + 2*h**2. Calculate m(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(112) + -2*sqrt(112))*-5 + 1)*-6.\nAnswer: 24 + 480*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/(-27)*12012\/637*-9. Which is greater: 2030\/23 or s?\nAnswer: 2030\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 995144 to the nearest integer?\nAnswer: 998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - -4465033.37.\nAnswer: 4465033.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.32 - 12.68. Let f = q + 11. Let x be -4*(0 + 2\/8). Sort x, 0.3, f in decreasing order.\nAnswer: 0.3, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 77 and 10.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24 minus 9440958111?\nAnswer: -9440958111.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j + 5*j**3 + 3*j + (-2*j + j + 3*j)*(2*j**2 + 0*j**2 + j**2).\nAnswer: 11*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004727 rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 2:30 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of v**4\/4 + v**3\/2 - 3*v**2 + 7*v\/2 + 1754. Factor p(o).\nAnswer: (o - 1)**2*(2*o + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 6*l**2 - 1. Let j be (-15)\/9*(-36)\/10. Give a(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5430, -43, 0 in decreasing order.\nAnswer: 0, -43, -5430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -1142\/859 in decreasing order.\nAnswer: 5, -1142\/859, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a**3 + a**2 - 3*a + 1. Let d be q(2). Let y = d - 13. Calculate the remainder when y is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 579.\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 78 (b) -5 (c) 2033803\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 13*k + 5. Let z be o(-13). Suppose 0 = 2*n + 3 + z. Let d(f) = -3*f**3 - 6*f**2 - 2*f - 3. Does 23 divide d(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -3*r + 72, 0 = 3*r - 0*x - 2*x - 66. Solve -3 = -2*j + 5*g - 1, r = -3*j - 4*g for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000111315252 to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -40816?\nAnswer: 16326.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u = -k - 17*u + 159, 3*k + 2*u - 480 = 0. What is the remainder when 309 is divided by k?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*i + 2*i - x, 4*x + 3 = -3*i. Suppose -i*q = -2*q - 4. What is the remainder when q is divided by (-8)\/(-12) + (-4)\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2) + (-13 - -12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**3 + s**3 + 3*s**4 + (2*s**4 - 2*s**3 + 2*s**3)*(-3796 + 1151 - 704) + (0 + 3 - 4)*(-2*s**4 + 0*s**4 + 0*s**4) - 2*s + 2*s + s**4.\nAnswer: -6692*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 14*p**2 + 74*p + 282. Let k(v) = -75*v**2 - 369*v - 1411. Let j(q) = -2*k(q) - 11*u(q). Factor j(y).\nAnswer: -4*(y + 5)*(y + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1377267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a decade in years?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 36*g. Let h(i) = 28*i. What is m(h(v))?\nAnswer: 1008*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 + 40. Let j(b) = -b**3 + 6*b**2 + 22. Let d be j(s). What is the highest common divisor of 66 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1294 and 100285?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (6 + 0 - 3) - (801 + -786)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1292774 or 1292772?\nAnswer: 1292772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11346639*t + 37928737 with respect to t.\nAnswer: 11346639","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.94128619 rounded to three decimal places?\nAnswer: -1.941","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74885 is divided by 18715.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -223.94801 and 0.02?\nAnswer: -4.4789602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 + 38. Suppose -3*u + 12 = 3*l, 0*l + 17 = 4*u + 3*l. Is u smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16633?\nAnswer: 16633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sff when three letters picked without replacement from {c: 1, f: 4, m: 2, j: 1, s: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*w - 3919 = 4*v - 4590, -5*w = -v + 197 for w.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 2*n + 0*n)*(-6*n + 4*n + 3*n) + n**2 - n**2 - 2*n**2 + 7079 + 6997 - 14076 - 104*n - 63*n**2.\nAnswer: -64*n**2 - 104*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6301, 23357, 51737, 91435, 142445, 204761, 278377, 363287?\nAnswer: 459485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l + 2*l**2 - 7*l**2 + 4*l**2 + 19*l**2 + 97*l**2 - 5*l**2 + (0 + 2 - 3)*(-l**2 - l**2 + 0*l**2) as u + y*l**2 + z*l and give y.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 23*l**2. Let t(b) = 50*b + 1. Calculate t(k(o)).\nAnswer: 1150*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(-1 + 1 - 2)*(1 + 0 + 2)*(6 + 0 - 4)*(5*t**3 + 2*t**3 - 4*t**3).\nAnswer: -36*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4*i**2 - 422*i - 13387. Give o(131).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 - 11. What is the remainder when 222 is divided by u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 + 58. Is 10 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2383, 4671, 6959, 9247?\n\"Answer: 2288*v + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*t = -24*t + 158. Let b = -58 - t. What is the greatest common factor of b and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/3)\/((-2656)\/28884)*-1.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r = r - 55. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21\/(-14) + 1 + 1. Let a(f) be the first derivative of 0*f**2 + h*f**4 + 0*f**3 - f + 1. Differentiate a(b) with respect to b.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13352 is divided by 13347?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209543 = 8231*u + 78542 for u.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5653 - -1615. Let d = 3874.9 + v. What is d rounded to the nearest integer?\nAnswer: -163","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 25. Let b = 44 - 41. Let p be (-13)\/(13\/(-10)) + b. What is the highest common factor of v and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1431713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 207639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (-3 - (-54 + -3)). Suppose 0 = -5*a + r + 64. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2 = 2*a + 14, 0 = a + 1. Suppose -34 = -p - 2*m, 3*p + 2*m = i*m + 47. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 10) to base 6\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**4 - 4*p**4 + 2*p**4 + (p**3 + 2 - 2)*(-2*p + 0 + 0) - 2*p**4 + 4*p**4 - p**4 + 5*p**4 - 2*p**4 - p**4 + (-1 + 1 + 3*p**4)*(1 - 1 + 1).\nAnswer: -p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (0 + 2 - 1) + (-264)\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -1011110?\nAnswer: -1011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 32 + 583 = 0. What are the prime factors of i?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 48*b**2 - 74*b + 677. Determine q(-46).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -23\/10, -1\/5, -11\/5 in descending order.\nAnswer: -1\/5, -11\/5, -23\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 666825 by 425.\nAnswer: 1569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -46*j - 352. Is k(-28) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/7 (b) -0.1 (c) -4 (d) 1\/6 (e) 2\/9 (f) 324\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 8.49574601619\nAnswer: -14.50425398381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 = 15*l + 87. What is the remainder when 94 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v**2 - v**2 + 3*v**2)*(-68*v**2 + 957*v - 2440*v + 1293*v) in the form o*v**4 + p*v + c*v**3 + l*v**2 + z and give o.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*q**3 + 236649113 - 236649113.\nAnswer: 35*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*d + 59543 = 26560 - 87977. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -30, -53, -74, -87, -86?\n\"Answer: b**3 - 5*b**2 - 15*b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-30)\/n**(-10) assuming n is positive.\nAnswer: n**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.009 - 0.056. Let h = o - -0.047. Do 3 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -912574, -1824590, -2736604, -3648616, -4560626, -5472634?\nAnswer: -6384640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 7*k - 558. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -262864 + 370035. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 17*p**2 - 3*p + 25. Let h = 14 - -10. Is b(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/19, -5, 3, -1, 35 in descending order.\nAnswer: 35, 3, -3\/19, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of c**6\/6 + 8*c**5\/5 + 25*c**4\/4 + 38*c**3\/3 + 14*c**2 + 8*c + 37. Factor z(x).\nAnswer: (x + 1)**2*(x + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -0.4, 0.1, -728?\nAnswer: -728","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**3 + 7*l**2 + 20*l + 41. Determine c(-4).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27 + ((-640200)\/432)\/(-55))*72\/(-564)?\nAnswer: 1\/141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r - 1. Suppose 3 = s, -s = -2*g - 0*g - 9. Let m(h) = 7*h - 1. Suppose p - 14 = 43*y - 46*y, -2*p - 2*y = -16. What is g*m(a) + p*l(a)?\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -l + 2*u - 20, -5*u = -3*l + 115. Let b = -82 - -157. Calculate the highest common factor of l and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q + 1. What is the remainder when 47 is divided by w(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m + 63 - 33 = -4*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 17*a - 88. Let l be f(10). What is the tens digit of (-360)\/l*106\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/22361 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, p: 1, t: 2, g: 5, b: 2, o: 2}. What is prob of sequence btb?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -187, -3386, -3, 1 in decreasing order.\nAnswer: 1, -3, -187, -3386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*x - 93*x + 194*x.\nAnswer: 27*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -9) + -20 + 6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pn when two letters picked without replacement from {n: 2, p: 3, j: 1, g: 6, m: 5}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 347 and 80851.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jenp when four letters picked without replacement from puuuueuuxnj.\nAnswer: 1\/7920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -600.5472 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x. Let o be (10\/8)\/((-1)\/4). Let w(n) = 4*n + 1. Suppose -60*y - 24 = -62*y, -12*y + 5*y + 72 = -4*d. Determine d*w(z) + o*p(z).\nAnswer: 2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 925 by -185.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 95143430 rounded to the nearest one million?\nAnswer: 95000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001 + 10110110111001100101000?\nAnswer: 10110110111001011111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*i - 2 = 5*f, -1586*f = -1587*f - 2*i + 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5 = 33. Let g = -1 - m. What is the third derivative of -3*u**6 + 0*u**2 + 2*u**2 + 0*u**g wrt u?\nAnswer: -360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11111000110001010111110 (base 2) in base 4?\nAnswer: 133012022332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20875044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5*k - 2, -2*k = -5*r - 0*k + 71. Let v = r - -154. Let s = v - -70. List the prime factors of s.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-84)\/(-320)*(1\/2 + -8) and -149\/72.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -5\/52?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 26\/(-8) - 3\/(-12). Let o be (9\/(-6))\/(i\/4). Factor n**o + 0*n + 0*n - 2*n.\nAnswer: n*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (6 + -1 - (-1 - 0)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-1) + (-6002 - 0). Let q = -162025\/27 - t. What is the common denominator of q and (4 + -3)\/(81\/1917)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**2 + 17*s - 289\/4 = 0.\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -7135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43002178 is divided by 390?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(7\/4)*z))\/(z**(-1\/17)\/z))\/(z**1*z**(2\/35)) assuming z is positive.\nAnswer: z**(-6541\/2380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b**3 + 57*b**2 - 4*b - 62. Let y(p) = 2*p**3 - 36*p**2 + 3*p + 41. Determine 5*s(r) + 8*y(r).\nAnswer: r**3 - 3*r**2 + 4*r + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2367328.9921 - -2367137. Let s = -192 - h. Round s to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 1 = 22. Let m(f) be the second derivative of -f**4\/4 - 7*f**3\/6 - 7*f**2\/2 - 4*f. Let q(a) = -2*a**2 - 5*a - 5. What is j*q(l) - 5*m(l)?\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y**5\/11 - 9150*y**4\/11 - 3866950*y**3\/11 - 711952000*y**2\/11 - 47600640000*y\/11 + 60620800000\/11 = 0. Calculate y.\nAnswer: -320, -185, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 364 - 6. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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: Evaluate (2\/(-54)*1)\/((-71)\/426).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -4*u**2 - 1198600*u + 2397216 = 0.\nAnswer: -299652, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1197 divide 10776994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -242, -677, -4 in descending order.\nAnswer: -4, -242, -677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (9 + -1 - 1) + 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11295 - -16997. Is n a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**3*n + 2*l**3 - 73*l**2*n**2 - l*n**2 - 97*n**2 wrt l?\nAnswer: 12*l*n + 12*l - 146*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 433 = 17*j - 15 - 79 for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -24*t**3 - t**2 + 1. Calculate r(1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1030077 divided by 114453?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -285008648183\nAnswer: -285008648174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 11 = -0*n. Let b(q) be the first derivative of -q**3\/3 - 5*q**2 + 2*q - 529. What is b(n)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12254792 is divided by 422579?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 52 = -0*s. Let p = 81 + s. What is the remainder when p is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 4*h = 10, -3*q - 287*h - 5 = -286*h for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - -0.1. Let j(d) = d**3 - 12*d**2 + 21*d - 13. Let n be j(10). Let x be (-1 + (-2)\/n)\/((-46)\/92). Put v, x, -1 in ascending order.\nAnswer: -1, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -64 - -31. Let x be c\/(-77) + (-128)\/217. Which is bigger: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**3 - 16730*c**2 - 33445*c - 16720 = 0. What is c?\nAnswer: -3344, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2*b + 12 = 0, -4*k + 4*b - 3 + 15 = 0. What is the remainder when 3 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - x = 0, 4*j + 7 = 4*x + 23 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + 567. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 1\/12154, 4, 3.\nAnswer: -31, 1\/12154, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21804 is divided by 865?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208 = -2*o - 2. Let n = o + -26. What is the highest common factor of 11 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347322?\nAnswer: 2, 3, 107, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4016 is divided by 3562?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6433054190.\nAnswer: 2, 5, 73, 127, 69389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o + 11. Suppose -6*h = -125 + 23. What is the tens digit of j(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d = 91*d + 45*d + 745. Put d, 2, 9, 0, -3 in decreasing order.\nAnswer: 9, 2, 0, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(112) - sqrt(112)*2*-6).\nAnswer: 4 + 52*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1831*n - 877*n = -1124*n + 70652 for n.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of 5*n**8\/336 - 3*n**7\/14 + 9*n**6\/8 - 9*n**5\/4 + 37*n**2. Factor q(u).\nAnswer: 5*u**2*(u - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 + -68 + 1 + 0 + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/4)\/y*y*y**(1\/9))\/(((y\/(y**(-3)\/y))\/y)\/y)**(-28) assuming y is positive.\nAnswer: y**(3055\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 782641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 231658628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**11)**(-1\/2) assuming c is positive.\nAnswer: c**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298*j + 27 + 72 - 99 - 201*j.\nAnswer: -499*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 38*y + 268. Let n = -2 + 9. What is the remainder when l(-6) is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14652)\/(-110)*(950\/(-12))\/(-95).\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -11 - 1\/6*k**6 + 0*k**5 - 37\/4*k**4 - 43\/2*k**2 + 0*k**3 + 0*k. Find the second derivative of x(h) wrt h.\nAnswer: -20*h**3 - 222*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-1*(sqrt(5) + 2*sqrt(5)) - (sqrt(5)*-1 + 3)) + sqrt(20)\/(1*sqrt(4)*3))**2.\nAnswer: -412\/9 - 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56191744 to the nearest integer?\nAnswer: 7496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/10)\/(1\/((715\/(-117))\/(-11))).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iuwiwuuwuuwuu. What is prob of picking 2 i and 1 w?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1492 = -4*j - 3*t, -3*j - 17*t + 22*t + 1090 = 0. Suppose -5*w = -9*x + 10*x - j, 4*x - 1480 = -3*w. Is x a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39462 - 513004\/13. Let r = 9 + -4. Suppose -4*z + 3*s - 7*s - 12 = 0, -2*s = 4*z + 12. Which is the third biggest value? (a) g (b) r (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14169, -14166, -14161, -14154, -14145, -14134, -14121?\nAnswer: -14106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -512.8 - -513.4. Let l be 3 + -3 + 0 + 3 + 0. What is the second biggest value in 18, l, n?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {j: 2, r: 2, v: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 31540000 rounded to the nearest 1000000?\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -61658, -123312, -184966?\n\"Answer: -61654*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**3*c**(-2\/13)*c\/(c\/(c*(c*c**0)\/c*c*c))*c**(5\/3)\/c*c)\/(c\/c**(1\/14)*(c**(7\/3)\/c)\/c*c**7*c*c*c**(4\/5)) assuming c is positive.\nAnswer: c**(-6959\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 27*q - 81. Let c(u) = -4*u + 11. Let f(d) = -15*c(d) - 2*h(d). Suppose 0 = -5*n - 2 + 7. What is the units digit of f(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*i + 3 = -52*i - 3*l, i = -3*l + 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(152)*-3*-2)\/((sqrt(198)*1)\/(2*sqrt(704))).\nAnswer: -256*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-1 + -2*sqrt(343))*2 - ((6*sqrt(84)*-2)\/sqrt(12) - (sqrt(2016) + sqrt(2016)*1 - sqrt(2016))\/sqrt(2)))**2.\nAnswer: 24*sqrt(7) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p + 7. Let g be f(-7). Let r = g + 10. What is the remainder when r is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -1. Let s(c) = 8*c**3 + 3*c**2 + 4*c + 3. Let d be s(-2). Let j = d + 58. Solve j = o - g for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1761 less than 1761?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-2.27.\nAnswer: -11.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1526*v**2 - 2911*v**2 + 1395*v**2.\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5, 11, 29, 65, 125, 215, 341?\n\"Answer: q**3 - q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -7. Suppose 0 = h*d - 3*s - 13, 0 = 2*s + 4 - 2. Find the third derivative of -d*z**3 + z**2 + z**2 + z**3 wrt z.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + o = 0. Let t = 14 + -11. Solve o = t*s - s + 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from cniknickkciskkn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-7)\/r))**25 assuming r is positive.\nAnswer: r**225","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 775454984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 0. Let q(h) = h**3 - h**2 - h - 4. Give q(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -285*z - 48*z - 29*z + 50*z - 83*z.\nAnswer: -395*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 8082 = -4*v - 34304, -3*i + 13*v = -39354. What are the prime factors of i?\nAnswer: 5, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -76*d + 81*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3 = 3*o. Suppose 6 = o*x - x. Let t = x - 1. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-68)\/(-2295)*(-40)\/1280*-8)\/((-3)\/(-20))\nAnswer: 4\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -2, 0.6, 0.6072 in decreasing order.\nAnswer: 0.6072, 0.6, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 695.7113 decades to years.\nAnswer: 6957.113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30488441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/49828 and 51\/359792?\nAnswer: 4481928944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 620 and 5020?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8239 take away 14?\nAnswer: -8253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a + 101. Let o be u(23). Suppose -8*x = -9*x + o. Calculate the least common multiple of x and 11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 6. Let n(a) = 48*a + 4768. Let s be n(-99). Find the third derivative of s*i**2 + u*i**5 + 10*i**4 - 10*i**4 - 13*i**5 wrt i.\nAnswer: -540*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 3:27 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of 571*r**7\/21 + 145*r**4\/3 + 2*r - 589. Find the third derivative of v(s) wrt s.\nAnswer: 68520*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n**4 + 3*n**3 + 2*n**2 - 10*n + 12. Let q(o) = 7*o**4 - 6*o**3 - 4*o**2 + 19*o - 26. Let j(m) = -2*q(m) - 5*s(m). Let j(v) = 0. What is v?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11\/(-22) + (3\/2 - -2). Let i(c) = -c**3 - c**2 - c. Let p be i(0). Suppose z*a - 264 - 312 = p. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 5*m**2 - 3*m - 13. Let w be b(-5). Find the third derivative of 47668*o**3 - 54*o**2 + w*o**6 - 47668*o**3 + 5*o**5 wrt o.\nAnswer: 240*o**3 + 300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 49805*d**2 + 2. Is a(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(54)\/sqrt(3) + sqrt(2) + (sqrt(6)\/sqrt(3)*-2)**2 + sqrt(2).\nAnswer: 5*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -136 (base 7) to base 3\nAnswer: -2211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1284286?\nAnswer: 2, 19, 33797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-9) + 70\/6. Suppose 3*b = 4*a + 34, 0 = -b - a + 6 + 3. Is b not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9049781?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 173816347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 25*d + 27. Let c be r(24). Suppose o - c*o - 3*n + 321 = 0, -498 = -3*o + n. Suppose -o = -2*m + 5*i, 4*m - 5*i - 390 = -m. Does 15 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o**3 - 16*o**3 + 22*o**3 + 4*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1328 by -4.\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 381655 and 263255?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2 + 105*n - 8. Let b(j) = -j**2 + j + 2. Let i(h) = -b(h) - u(h). Find the first derivative of i(m) wrt m.\nAnswer: -2*m - 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1427533 and 9637?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10240 and 138440?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 60\/119 and -109\/194768?\nAnswer: 3311056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 947546 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in 4\/5, 0.2, 0, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**3*i**3 - 5*g**3*i**2*w**2 + 8*g**3*i**2*w + 2*g**3*w - 129*g*i**3*w**2 + 160*g*i**2*w - 2*i*w wrt w?\nAnswer: -10*g**3*i**2 - 258*g*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -968*d**3 + 3*d**2 + 298*d + 9. Let s(k) = -969*k**3 + 2*k**2 + 299*k + 6. Let h(c) = -2*i(c) + 3*s(c). What is the second derivative of h(w) wrt w?\nAnswer: -5826*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3\/8, -5\/4, -2, -4, -9, 1.04 in increasing order.\nAnswer: -9, -4, -2, -5\/4, 3\/8, 1.04, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2038.929 milligrams to tonnes.\nAnswer: 0.000002038929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -326299594 + l + 326299594. Let x(g) be the third derivative of g**4\/12 + 79*g**3\/6 - g**2. What is x(i(f))?\nAnswer: 2*f + 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(648) + -2*sqrt(648)) + sqrt(648) - sqrt(648))\/(sqrt(4) + (sqrt(176)\/sqrt(4))\/sqrt(11) - (sqrt(4) - -1*sqrt(256))))**2.\nAnswer: 2592\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 2*h**2 + 2*h - 3. Let w be u(2). Let l be -1*(1 + w - 2). Factor 0 - q**2 + q**3 + l.\nAnswer: q**2*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 595, 1235, 1875, 2515, 3155?\nAnswer: 3795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 13. Give q(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-5\/4))\/w)\/(w*w**(-2\/3)*w)*w**(2\/9)*w**(2\/11)*((w**1)**(2\/11))**(-22\/3) assuming w is positive.\nAnswer: w**(-401\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 14*q**2 + 0*q + 18 - 2\/3*q**3. What is the second derivative of r(y) wrt y?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1830128 or -1830125?\nAnswer: -1830125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - g - 6 = 0. Let q = 5 - g. Suppose q*p = 7*p - 40. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y - 6. Let x be r(-9). Suppose 0 = -4*b + x + 93. Calculate the highest common factor of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4\/167 + -266\/2839. Let y(q) = q + 20. Let o be y(2). Suppose 0 = 5*p - c - 6 + o, -c = -p - 4. What is the second biggest value in 0.5, p, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 387*c**2 + 29*c + 13. Is k(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/23)*s\/(s\/((s*s**11)\/s*s))*s)**(-1\/19) assuming s is positive.\nAnswer: s**(-298\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-440)\/(-22))\/400*((-272)\/48)\/(2\/(-24))\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.32627cm in nanometers?\nAnswer: 463262700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j**2 - 133*j - 37. What are the prime factors of m(32)?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -2\/9 (b) 0.2 (c) 0.5 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01740808685 to 5 decimal places.\nAnswer: 0.01741","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 - ((-20 - 2) + 9).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -28*p**2*y - p**2 + 2018395*p + 155865433*y wrt p?\nAnswer: -56*p*y - 2*p + 2018395","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/9)\/t)**23*t**(-1\/3)*t**(-3\/7) assuming t is positive.\nAnswer: t**(-1819\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 1662 = -5*h + 2328, -h = 3*a - 2998. Calculate the highest common divisor of 20 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 take away 470?\nAnswer: -423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 403, 408, 401, 376, 327, 248, 133?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2*sqrt(931) + -4)*-5.\nAnswer: -70*sqrt(19) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6954 and 12.\nAnswer: 13908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 10, w: 4}. What is prob of picking 2 w and 1 v?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4229 + 4239. Calculate the lowest common multiple of k and 2568.\nAnswer: 12840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gyz. Give prob of sequence yz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t. Suppose 0 = 5*c - 10*c + g - 277, c + 63 = 4*g. Let z be 4\/(-22) - 10\/c. Let y(n) = 0 + z + n. Determine y(x(v)).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -59 (base 12) to base 16\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, v: 2, o: 4, e: 1, t: 2}. Give prob of picking 1 t and 1 k.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -65 + (44 + -25 - -17) - -61?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*g + 67*g - 62*g - 344 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 106510.2 centuries?\nAnswer: 10651020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 596.86435 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1665126 (base 7) to base 2.\nAnswer: 111001010010111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 9595.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 893649.79 to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1400)*-3)\/(6*sqrt(32)\/sqrt(4)))**2.\nAnswer: 175\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p - 55 = -14*h + 12*h, -5*h + 5*p = 25 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96590854 divided by 194.\nAnswer: 497891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1))**8*(i\/(i\/i**(-1\/7)))\/(i**(6\/7)\/i))\/((i\/(i**(-5\/2)*i))\/(i\/(i\/(i*i*i**8)))*((i**1\/i)\/i)**(-2\/47)) assuming i is positive.\nAnswer: i**(-51\/94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*f**2 + 32 + 51*f - 51*f - 19*f**2.\nAnswer: -32*f**2 + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 14432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*u = -45*u + 86*u - 2300 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250*h - 503*h + 263*h + 110 = 0 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of 21*w**6\/40 + w**5\/6 + 3175*w**4\/24 + 194*w**2 + 6*w. What is the second derivative of r(d) wrt d?\nAnswer: 378*d + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 3*m**2 - 4. Let l be q(4). Let u be 4\/(-15) - (-8)\/l. Which is greater: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -5*d**2. Let o(x) = 4*x**2 - x. Calculate 3*k(s) + 2*o(s).\nAnswer: -7*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of c**3\/6 - c**2 - c. Let n be z(6). What is the units digit of 8 - 0*(-2)\/n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32666 is divided by 157?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 12:35 PM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 16 = s. Let u = -20 - -24. What is the greatest common factor of s and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 - -28. Solve 5*x = 20, -j*o + x = 5*x - 20 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 2*l + 6. Let x(c) = -42*c**3 - 10*c**2 - 8*c - 36. Let j(u) = 6*n(u) + x(u). Let t(k) = -84*k**3 - 9*k**2 + 9*k. Determine 9*j(o) - 4*t(o).\nAnswer: -42*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6665, -13340, -20015, -26690, -33365, -40040?\nAnswer: -46715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 579 - 582. Let g = -903 - -902.8. Let o = 2\/251 - -990\/1757. Which is the nearest to g? (a) -3\/4 (b) i (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-220))\/((-8)\/(-44))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 5) to base 4.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1937?\nAnswer: 1937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 778377133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2030145.\nAnswer: 3, 5, 13, 29, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -217*q + 214*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, u: 2}. Give prob of picking 3 g and 1 u.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 28280133 a multiple of 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 840 and 35?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(550)*-3*2)\/(sqrt(33)\/(-4*(sqrt(3) - sqrt(27)))).\nAnswer: -240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*f + 108*f = f - 115*f. What is the closest to f in 3\/10, -24, 3?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -h**7\/2520 + h**6\/720 + h**5\/60 + h**4\/12 + 3*h**2. Let y(g) be the second derivative of c(g). Factor y(q).\nAnswer: -(q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15344454 (base 6) in base 8?\nAnswer: -2044062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134423.\nAnswer: 229, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**5\/8 - 5*l**4\/8 = 0?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/4*70\/(-15). Let p = 575 + -572. Is c less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*q + 6*q - 44*q + 0*q + 2*q + 0*q + (-16*q + 135 - 135)*(-5 + 4 + 2) to the form f + k*q and give k.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(1872)*-2.\nAnswer: -72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25475544 a multiple of 1576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4 = -4*h - 19, 0 = 2*h + 8. Suppose -3*v + 541 + 1046 = 3*j, -4*j + 2092 = -2*v. List the prime factors of j\/15 - 2\/f.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1170596947?\nAnswer: 13, 90045919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(3 + sqrt(76)*3*-3*2))**2*-6.\nAnswer: -147798 + 1296*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12 - 4*4\/(-8). Suppose -22 = -5*y - 10*f + 7*f, y - u = -3*f. Solve 3*m + 2*p + 3*p = y, -2*m = 4*p for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -12, -j = -n - 3*j + 2737. Is 7 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 14*z - 1. What is c(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -78, 8, 92, 174, 254, 332, 408?\n\"Answer: -g**2 + 89*g - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*5*(sqrt(1100) + 1)*-3 - (4 + (-3 + sqrt(1100)*1 + sqrt(1100) - (-1 + (sqrt(1100)*-1 - sqrt(1100)) + sqrt(1100))**2)).\nAnswer: 150*sqrt(11) + 1115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-1\/8)*c\/(c*c**32)*(c**(-3\/2)\/c*c*c)**36 assuming c is positive.\nAnswer: c**(-393\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 22396198419 and -4.\nAnswer: 22396198415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 123385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 + -1.4. Let f = 17 - 22. Which is the nearest to 2? (a) 2 (b) j (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4*-2 + 5. What is the highest common divisor of 2 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -339, -584, -761, -876, -935?\n\"Answer: -s**3 + 40*s**2 - 358*s - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22315 is divided by 84.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90 + -432 + 132 + 146.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 8*f - 2*x, 5*x - 10 = 5*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4 (b) -33 (c) 7\/8 (d) 3 (e) -5 (f) -1\/36\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -90716776*k - 43174665?\nAnswer: -90716776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 20, -17 - 1 = -2*y - 3*h. Let u(t) = -4*t - 2. Let w(c) = 7*c + 3. What is y*w(l) + 5*u(l)?\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -1\/390*v**5 - 1\/78*v**4 + 1\/13*v**3 + 8*v**2 + 0*v + 0. What is a in u(a) = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28400?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 2\/407 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000001110100 - -100?\nAnswer: -1000001110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, l: 4, x: 5}. Give prob of sequence xo.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -95*d**2 - 89*d**2 - 8*d**2 - 49*d**2. Let w(x) = -2*x. Determine w(i(a)).\nAnswer: 482*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -68. Let y be 64\/8 - 380 - -6. Let o = -330 - y. Calculate the highest common factor of o and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7560?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 516423433 = 4*o + 184023385. Suppose 3*h + o = -4*v, 2*h = 5*v - 27727200 - 27672785. What is h rounded to the nearest one million?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.1989 - 0.1989. Which is the closest to 3? (a) -22 (b) l (c) -0.5 (d) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 11:19 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of p**6\/180 - p**5\/40 + p**4\/12 - 23*p**3\/6 - 10*p. Let j(m) be the second derivative of o(m). Give j(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, i: 3, x: 1, l: 1, u: 1, a: 1}. What is prob of sequence rxr?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-78))\/((-276)\/(-828))?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 113.07075 months?\nAnswer: 0.0094225625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 5*c + 22*p - 26*p = 27, 9*c + 60*p - 58*p + 111 = 0 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-4))\/(11\/(-506)). Let t = x + 66. Let n = -1 + 1.4. Sort n, t, 4 in descending order.\nAnswer: 4, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 89697 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.96061 kilograms in micrograms?\nAnswer: 32960610000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 - 1143035?\nAnswer: -1143053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2532\/(-4220)*(-70)\/12*(-104)\/7.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -4*j**4\/3 - 316*j**3\/3 + 8680*j**2\/3 + 28192*j\/3 + 6400 = 0.\nAnswer: -100, -2, -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*s = -1650 - 275 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven quarters of a century?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19456 and 17701008?\nAnswer: 1132864512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-75) - (-2)\/(-15). Sort 4, -1, z.\nAnswer: -1, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 10. Let h(n) = 4*n**2 - n. Let z be h(-1). Suppose z*f - 2*f - 4 = -c, 2*f = -2*c + 8. Solve p + k + r = f, -10 = -4*p - 0*p + 5*k for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2862 + 2904. What is the nearest to 2\/9 in 4, y, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79a56 (base 13) to base 15.\nAnswer: 45941","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010 (base 2) in base 4?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3675, -3325, -2581, -1245, 881, 3995?\nAnswer: 8295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = v - 4*d, -5*v + v = 5*d - 1. Put -0.04, -3\/4, 1, v in decreasing order.\nAnswer: v, 1, -0.04, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -15.4, 5, -1, -5\/6, -3\/2, 77?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*a + 5*u - 103, -4*u - 129 = -5*a. Suppose -4*d = d - a. Let p(g) = -2*g + 24. Let v be p(10). Put v, d, -4 in descending order.\nAnswer: d, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d + 11. Let o be c(-4). Suppose -8*b + 45 = 5*k - 3*b, 2*k = o*b + 33. Calculate the greatest common factor of 24 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + ((-2)\/3 - (-144)\/54).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -69*x**6 - 89*x**3 - x - 866. What is the third derivative of o(b) wrt b?\nAnswer: -24840*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*c + 0*c - c)*(-1 - 5 + 3 + (6 - 2 - 2)*(6 - 12 + 9)*(-3 + 2 - 5)) to i + k*c and give k.\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40256 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c**3 - 2*c**2 - c + 2. Let j be b(2). Let f(w) = w**3 + 9*w**2 - 9*w + 8. Let m be f(-8). What is the highest common divisor of j and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183793 = 21925*d - 1899082 for d.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**3 - 5*x**3 - 208*x + 208*x.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 3*i = -69, 5*i - 107 = -52*r + 55*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 385 and 12551.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -257*y**2 - 2*y - 3*y**3 + y**3 + 273*y**2 + (1 - 1 - 2*y)*(-1 + y**2 + 1) + 3*y**3 - 2*y**3 + 0*y**3.\nAnswer: -3*y**3 + 16*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 - -5)*(1 + -49). Let o = -44 - a. Suppose s = o*s + 438. Round s to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19.5 - -12.5. Sort 0.3, w, -3, 3 in descending order.\nAnswer: 3, 0.3, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 0*s. Suppose -10*f + 5*f + 45 = s. Suppose 5*h = 2*q + f + 6, 5*q + 4*h = 45. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of 5*r**3\/3 - r**2 - 2*r - 5. Give u(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 9:14 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2893\/9 + 321. Let n = 0 + -1. What is the third biggest value in q, n, -2\/19?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 10*p**2. Let f(x) = 6*x - 5. Suppose -40 = 10*w - 2*w. Let v(i) = 5*i - 4. Let l(n) = w*v(n) + 4*f(n). What is c(l(h))?\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4069 divided by -13.\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9, p: 2, h: 2}. What is prob of picking 1 h and 1 q?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -14. Let d = 1 - n. What are the prime factors of (-48)\/(-9) - (-1)\/d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*p**2 + 7 + 5 + 6 - 18.\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -4 + -5*(0 + 6*2*(-1 + sqrt(180) + sqrt(180))))**2.\nAnswer: -79200*sqrt(5) + 2595025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -78 + 80. Suppose f = 4*u + 2. Suppose 22*m - 14*m - 1256 = u. List the prime factors of m.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 6*c + 2. Let h be s(6). Suppose -h*u + 0*k + 3*k + 28 = 0, 4*k + 52 = 4*u. Is u a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -2\/9327?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 91 - -10. Calculate the remainder when y is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -347 - 124?\nAnswer: -470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 2\/5, -6.6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2707 + 3998. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 5*u + 34. Let w(s) = -10*s - 69. Let f(v) = -13*l(v) - 6*w(v). What are the prime factors of f(-13)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 144*b - 1132. Let m(s) = -97*s + 756. Let n(r) = -7*m(r) - 5*w(r). Differentiate n(q) with respect to q.\nAnswer: -41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 169379984?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 89249750?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*r**4 + 576*r**3 - 26472*r**2\/7 - 2304*r - 336.\nAnswer: -3*(r - 14)**2*(7*r + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3*j + 2 + (1 + 0 - 3)*(-5*j + 2*j - 2*j))*(10*j**3 - 2*j**4 - j**3 + 3*j**4).\nAnswer: 13*j**5 + 117*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.578 - 0.042. Let d = i + 0.02. Let m = -0.5 + d. What is m rounded to one dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18851946*s**3 + 322*s + 3434 wrt s?\nAnswer: 113111676*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/9))**(4\/21)\/(l**(-3)\/(l**3*l)))\/(((((l*l**(-2))\/l)\/l)\/l*l)**(-5\/7)*l**(-1\/3)*l*l\/l**(1\/3)*l*l*l) assuming l is positive.\nAnswer: l**(107\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 76?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33034570 is divided by 195.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 2:52 AM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**5\/5 + 22*u**4\/5 - 242*u**3\/5 - 2662*u**2\/5.\nAnswer: 2*u**2*(u - 11)*(u + 11)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 159*d**2 + 68844*d - 1296. What is h(-433)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -280 - -825. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 22 = -6*u. Let n(i) = 3*i**2 + 5*i. Let c(b) = 3*b + 3*b + 2*b**2 + 2*b**2. What is u*c(z) + 6*n(z)?\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 15 (b) -5 (c) 121 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -7*q + 1338. Suppose -3*s + 275 = -5*r, 6*s - s + 4*r - q = 0. Is 18 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((40\/(-29040))\/((-4)\/22))\/(1\/4*1).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3791, -14563, -32513, -57641, -89947?\nAnswer: -129431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140 and 228620.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1440, 3, 1, -36 in decreasing order.\nAnswer: 3, 1, -36, -1440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 5*o - 13. Let g(s) = s + 7. Let m be g(0). Let k be w(m). What are the prime factors of (-2235)\/(-60) - (k - (-7)\/(-4))?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1560623640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110111000 + -11110010100000010110?\nAnswer: -11110010011001011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (135\/20)\/(4\/(-8)*-6)*16\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -14, 9, 5, 2, 4 in decreasing order.\nAnswer: 9, 5, 4, 2, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 254*x - 2 - 488*x + 2*x**2 + 237*x. Let p(l) = 5*l**2 + 8*l - 5. What is -8*c(z) + 3*p(z)?\nAnswer: -z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**4\/17 + 58266*c**3\/17 - 524504*c**2\/17 + 1515336*c\/17 - 1398816\/17 = 0.\nAnswer: -29142, 2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -1. Let b(u) = -u**2 - u. Let t(n) = n**2 - n. Let l(x) = x - 6. Let z be l(7). Determine p*b(y) + z*t(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**13\/w**(-6\/5)*(w\/w**(-1\/12))**(7\/8))**(-21\/4))**(3\/13) assuming w is positive.\nAnswer: w**(-152691\/8320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (146\/(-5) - -8)*(-1 + -19). Suppose 0 = -9*o + 35 + z. Does 15 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**3 + 2*m**2 - 4*m - 1. Let o = -8 + 3. Let g be d(o). Let a = g + 277. Calculate the greatest common divisor of a and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*z**4 + 43*z - 43*z + 0*z**4 + z**4 + 0*z**4 + (5*z**3 - 5*z**3 - z**3)*(-3*z + 2*z + 9*z).\nAnswer: 3*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 263 a factor of 364830707?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*h + 6 - 46 = 0, -5*m + 4*h - 95 = 0. Let s be 3\/m + 58545\/(-25). Let g = s - -6097. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 26. Suppose r = 10*f - 4*f. Let q be 1 + 4 + -5 + f. Solve 0 = q*h - h - 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*q + 2366 = 54*q - 15*q for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 2\/51, 0.2, 3, -3, 5, 19, 77?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ld when two letters picked without replacement from {d: 1, j: 1, l: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*5*(-2*sqrt(252) + -5) + (sqrt(252) + 0 + -1 + 1)*-5 + 0)**2.\nAnswer: 67500*sqrt(7) + 525925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 474 divide 140146306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -203, -282, -421, -626, -903, -1258?\n\"Answer: -v**3 - 24*v**2 - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -g**3\/2 + 1920423*g**2 - 1844006488182*g - 11064108064428 = 0.\nAnswer: -6, 1920426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 7:50 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + 38. Suppose 4*v = w + 27. Solve 2*m - 16 = -4*i, i = -i + 5*m + v for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -485555*l**3 + 10*l**2 + 42*l - 208.\nAnswer: -2913330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.126 times -6\nAnswer: 0.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -264987 or -1324934\/5?\nAnswer: -264987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 11*v**2 + 5. Let m be w(11). Let g(b) = -b**3 + 6*b**2 - 3*b + 6. Is 8 a factor of g(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281626?\nAnswer: 2, 140813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -301*(-81)\/(-3483) - (54 - (0 - -2)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 105070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000009595 to seven dps.\nAnswer: -0.0000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 9:50 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 55329*c**2 + 8*c + 79. Let o be f(-21). Round o to the nearest one million.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 24 = -0*d. Let w(h) = -h - 6. Let x be w(d). Does 15 divide (-75)\/(-2) + x\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16 + 4d08?\nAnswer: 4cf2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4a (base 16) to base 11.\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -s + 68350, -42*s = n - 40*s - 13679. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {h: 3, c: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 435456 and 672.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 12*h**2 - 8*h - 44. Let c be t(-6). Calculate the highest common divisor of 44 and c.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (38\/4)\/(2321\/(-774) - (4 + -7)).\nAnswer: 3, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 10:08 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7a7 - -89?\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + sqrt(567) + -3 + sqrt(567) + 1).\nAnswer: -36*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*a = 1606, -2*a - 2*a = -2*q + 1578. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n - 6. Let a be h(8). Suppose a*k = -1 + 25. Let l = 17 - k. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -9*o - 80. Let s be d(-9). What is the second smallest value in 3, 70, 2\/5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 1 = -5*n, 4*n + 2*r - 122 + 108 = 0. Which is the nearest to -0.1? (a) -0.4 (b) 70 (c) n (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -6*t**3 - 16*t**2 + 15*t - 11. Let y(q) = -q**3 - 3*q**2 + 3*q - 2. Suppose 0*r - 12 = -6*r. Calculate r*h(p) - 11*y(p).\nAnswer: -p**3 + p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14852137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 14*v - 39. Let w(m) be the first derivative of 5*m**2\/2 - 13*m - 462. Give -6*c(g) + 17*w(g).\nAnswer: g + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2*-1*28\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8 + 1 - (4 - 4). Let z = d - -24. Suppose -z = 2*j - 49. Solve 0 = 4*k + f + 4, f - j = 5*k + 5*f for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5525 and 817921?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16378633.\nAnswer: 17, 31, 31079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2101)\/(-110) + 1\/(-10). Let k = r - 20. What is the closest to 0.1 in 3, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 52 - 11 - -11?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175 = 23*u - 48*u - 550 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 10481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 - -4)\/((-1)\/2). Calculate the common denominator of (4\/3)\/((-2)\/(-36)) and 0 + (177\/30 - z).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -15 (c) 26 (d) -2.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (154\/28 - 7 - -2)\/((-55)\/2).\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165971237 a multiple of 211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7913 - -14063. Calculate the greatest common divisor of 246 and x.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -2*s - 725 + 743, -4*j - s = -12. Sort 10, -3, j, 14 in descending order.\nAnswer: 14, 10, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 10*i + 3. Let d(n) = n**2 - 4*n - 3. Let w be d(-2). Calculate the smallest common multiple of u(w) and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in -5, 2\/5, -4.4, -13\/9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1644\/(-108) + (-4)\/(-18). Let g = 6 + t. Let u(h) = -h**3 - 21*h**2. Let x(q) = -5*q**2. Give g*x(a) + 2*u(a).\nAnswer: -2*a**3 + 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -69.46 - -70. Let m = -0.540007 + a. Round m to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 920 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 156573?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -9*o**2 - 331*o + 555. Let x(u) = 2*u**2 + 66*u - 114. Let k(n) = 2*w(n) + 11*x(n). Factor k(z).\nAnswer: 4*(z - 2)*(z + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 116*m**2 - 1892*m + 7558. What is d(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11052)\/945 + (-40)\/(-420). Put 0, q, 2, 2\/7 in decreasing order.\nAnswer: 2, 2\/7, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 23*u**2 + 494*u - 101. Give y(-20).\nAnswer: -781","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1250 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 9) to base 5\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2911873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - -26. Suppose -9 = -3*k - 3*b, 0*k - k = -p*b - 11. Suppose 3*i + 3*x = 5*x + 130, -k*i + x = -226. Is i a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -72*g**4 - 1867*g**3 - 127 + 1867*g**3 + 90*g**4 - 3*g**2 + 2*g**2 in the form h*g**2 + c*g**3 + a*g**4 + z + s*g and give a.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -8\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.6 times -8?\nAnswer: 60.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -101010100001101110010101?\nAnswer: -101010100001101110011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*s = 373*s - 4104 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - 3*n - 57. Suppose 0 = n*x - 48507 + 17138. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in 3\/4, -14.9, 4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/2351350 and -38\/95325.\nAnswer: 7054050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-20\/3)*j**38)**(9\/8) assuming j is positive.\nAnswer: j**(141\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 2*o = 0. Let t = o + -6. Let w(y) = -2*y**3 - 7*y**2 + 3*y - 2. Let a be w(t). What is the highest common divisor of 20 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -10*v**5 + 6*v**4 - 28*v - 6. Let j(f) = -f**5 + f**4 + f - 1. Let k(y) = 6*j(y) - z(y). Find the second derivative of k(n) wrt n.\nAnswer: 80*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2736558213 to the nearest integer?\nAnswer: 1399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 254483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4 - (-12)\/16.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 9. Let u be (21\/7)\/((-1)\/r). What is the remainder when 27 is divided by 14\/(u\/6*-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -39, -11, 37, 105, 193?\n\"Answer: 10*z**2 - 2*z - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - y**2 - 2. Let p be q(2). Suppose p*k = -0*k + 10. Solve -21 = k*n - 1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40 + -42. Let i = 1704.4 + -1622. Let o = w + i. Sort -1\/3, 3, -2\/9, o in decreasing order.\nAnswer: 3, o, -2\/9, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 4 - 3)*(-16 - 7 + 3)*(0 + r + 0) in the form z*r + o and give z.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + -2*(sqrt(1573)*-4 + sqrt(1573) - sqrt(1573))**2*-3*-5 + 3.\nAnswer: -755041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3 = k, v - k - 3 = 2*k. What is the third derivative of 20*c**5 + 15*c**3 + c**2 + v*c**3 - 17*c**5 + 94*c wrt c?\nAnswer: 180*c**2 + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.35 - -0.05. Let h = k - -14.3. Let t = 13.75 - h. Round t to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 8*p - 2. Let z(j) = 7*j - 2. Give -4*x(v) + 5*z(v).\nAnswer: 3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -4\/27, 4 in decreasing order.\nAnswer: 25, 4, -4\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 11*u - 5. Let l(c) = -c**3 + 14*c**2 - 14*c + 19. Let w be l(13). Let i be w\/(-27) + 170\/(-45). What is the tens digit of y(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 3 + -4 + -18 - (762 + -733)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/143 (b) -15.24 (c) 3\/26 (d) 1\/3 (e) 2\/7 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.17 + 0.67. Which is the third smallest value? (a) 4 (b) 3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -20*a**2 + 4*a**2 - 41*a + 37*a**2 + 194 - 5*a**3 + 23*a**2 + 6*a**3. Calculate v(-45).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - d - 6. Let m(g) = 1834*g**2 - 3*g - 1448. Let v(j) = m(j) - 3*o(j). What is the derivative of v(q) wrt q?\nAnswer: 3662*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 734417455?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a5354 (base 14) in base 13?\nAnswer: 3c8003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 0.2 (c) -2 (d) 0.13 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 2*h + 15 = 0, -4*x - 56*h = -53*h - 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1 + (-5 + sqrt(20)\/sqrt(4) + 1 + 0)**2 + -5.\nAnswer: -8*sqrt(5) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7555 is divided by 3507?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2610180*r**3 - 2949458*r wrt r.\nAnswer: 15661080*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u + 8*u - 10*u**2 - 2*u + 8*u**2 to the form x*u + w + q*u**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 0, -p - 2*p + 572 = 4*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200 (base 4) to base 3.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4448, 4388, 4270, 4070, 3764, 3328, 2738?\nAnswer: 1970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 66?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-11)\/(-3) + (-12)\/18. Suppose -m + 2*m = 0. Put m, t, -3 in decreasing order.\nAnswer: t, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/24)\/(3 + 0). Sort u, -0.5, -8 in decreasing order.\nAnswer: u, -0.5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 10*n - 9. Let t be d(9). Suppose 5*z - 5 = 4*h + t, z + h - 19 = 0. What is the smallest common multiple of 20 and z?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8916, -8900, -8880, -8862, -8852, -8856, -8880?\nAnswer: -8930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36860 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6995 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*j - 15. Solve -j*f - 6 = 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -778.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-97 + 1)*13\/(-13). Suppose -s*u = -100*u. Solve 3*y - 6*y = u for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 - 548*d + 75076.\nAnswer: (d - 274)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2*g - 1)*(g**3 - 4*g**3 + 4*g**3) - 7*g**3 - g**4 + 7*g**3 - 9 to z*g**2 + p*g**4 + w + a*g + j*g**3 and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**2 + 17*u - 26. What is a(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 13103, 13105, 13107?\n\"Answer: 2*a + 13101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, n: 3}. Give prob of picking 1 i and 2 n.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/(-3*sqrt(6)))\/(sqrt(600) + sqrt(600)*-3) - (2 + (4 + -2 + sqrt(48) + -2)**2).\nAnswer: -50 + sqrt(3)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 430 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 134, 274, 416, 560, 706?\n\"Answer: p**2 + 137*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -13*j - 1. Let w(l) = 59*l**2 - 120*l**2 + 62*l**2. Determine b(w(u)).\nAnswer: -13*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7379.218ng to tonnes.\nAnswer: 0.000000000007379218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20886 = -39*c - 19950. Solve 3*n + 5 = -3*h - 2*n, -4*h = -n - c for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -659*c + 664*c + 39 = 2*z, 2*c + 3*z - 30 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -314 + 318. Suppose f*u + 5*u - 3753 = 0. List the prime factors of u.\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 46, 72, 114, 172, 246, 336, 442?\n\"Answer: 8*t**2 + 2*t + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*i - i + 3*i + (2 - 6 + 2)*(-3 - 2*i + 3) - 3*i + 2*i + 0*i - i - 2*i - 2*i + 3*i - 4*i + 3*i in the form o + f*i and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/((-700)\/322)*-2?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 + -17. Let k(x) be the third derivative of 0*x**6 - 1\/2*x**3 - x**2 + 0*x + 0*x**4 - 1\/105*x**c + 0 + 0*x**5. Differentiate k(f) with respect to f.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.936 and -2.\nAnswer: -1.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -422857780 take away 0.0252?\nAnswer: -422857780.0252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 - 16. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -38166, -2, 2\/3, -5, 1\/78?\nAnswer: -38166","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 43399547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + (2 - 0) + 2. Let o(m) = -3*m + 3 - 2*m**2 + 5*m**j - 4. Is o(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18691\/14025 + 3\/4675. What is u in -o*u**3 + 3*u - u**2 - 2\/3 = 0?\nAnswer: -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -q**5\/70 - q**4\/42 - 11*q + 13. Let o(d) be the first derivative of c(d). Determine t, given that o(t) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7377.\nAnswer: 3, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 89 - 85. What is the tens digit of 161 + (1\/1 - q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - x**3 - 4 + (-4*x - 3*x + 5*x)*(5*x**2 + 0*x**2 - 4*x**2) + ((-6 + 1 + 0)*(-1 + 1 - 2*x**3) + 34*x**3 - 30*x**3 - 45*x**3)*(-105 + 64 - 49).\nAnswer: 2787*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 19.5.\nAnswer: 5.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**3 - j**2 - 4*j + 6. What is f(2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*8140.\nAnswer: 16280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + r - 3*r + 3, -4*r = -3*g + 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*p = -648*p - 27242 - 3243 for p.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -740 or 147?\nAnswer: -740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3596200, -7192430, -10788660?\nAnswer: -14384890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 6*s - 239653 = 0, -19742 + 163545 = 3*h - 2*s. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56 - 56. Let a(j) be the first derivative of 0*j**2 + j + 3\/4*j**4 - 1 + x*j**3. What is the first derivative of a(i) wrt i?\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x + 15 = 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 18 + -30 - ((-3 - 38) + 2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u + 11. Let z = 250 - 257. Determine j(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.41 - 3.81. Let o = f - -2.4. What is the closest to o in 1, 4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 1. Suppose -a + 5*b - 61 = -3*a, -2*a + 56 = 4*b. Suppose i = 4*v - a, -1 - 5 = i - v. Let r be 3 - i - 1 - 3. What is t(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.4858 plus -3?\nAnswer: -9.4858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2 + 3 + 24*r**2.\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52 - -54. Suppose -t*j + 6 = 2. What is the third derivative of 4*z**3 - 15*z**j + 8*z**3 - 6*z**2 + 6*z**2 wrt z?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 9 = 0, -f - c = -5*c - 13 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51 by -3.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 6083 = 5*a + 6070, -4*r - 17 = -a for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxgddxzxxnnxxxxxsxd. Give prob of picking 1 g, 1 n, and 1 d.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s + 3 - 3 + (-843 - 75 - 483)*(5*s - s - s) to n*s + y and give n.\nAnswer: -4202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68147, 136293, 204439, 272585, 340731, 408877?\nAnswer: 477023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 139\/9 - 4675\/333. Let h = q - 1229\/111. Find the common denominator of (-80)\/40 + (68\/6 - -1) and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5848 and 304784?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 172*(-6)\/((-36)\/(-21)). Let g = 41 + c. What is the tens digit of g\/(-27) + (-6)\/(-27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 e when four letters picked without replacement from {e: 6, u: 3, f: 8}?\nAnswer: 8\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 71979263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60536 and 257278?\nAnswer: 1029112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 60217150?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*m - 4 = -10*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1002545 and 14.9.\nAnswer: -14937920.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -680297 greater than or equal to 9\/65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7, -51, -175, -421, -831, -1447?\n\"Answer: -7*k**3 + 2*k**2 - k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -205647*z + 205647*z + 3 - 1246*z**2 - 1 to g*z + f + d*z**2 and give d.\nAnswer: -1246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-12)*-4)\/(240\/360). Are 3\/11 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-4)\/24)*1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 4754344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -411.988 + 412. Let t = -575.988 - -575. Let d = t - g. What is the nearest to d in 4\/5, 1\/5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449872 is divided by 129?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 4*x. Let y be k(-3). Let m(w) = 11*w + 88. Let t be m(-8). Sort y, t, 2\/5 in increasing order.\nAnswer: y, t, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qll when three letters picked without replacement from {r: 1, l: 2, j: 1, q: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 435331837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -694 = -10*y - 664. Let f(m) be the first derivative of -2 + 0*m - 2\/15*m**y + 0*m**2. Factor f(a).\nAnswer: -2*a**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9176465*w**6 + 20*w**5 + 212*w**2 - 106*w - 450?\nAnswer: 1101175800*w**3 + 1200*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12093238 is divided by 4847.\nAnswer: 4820","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1d - -21af1b?\nAnswer: 21aefe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -34*j**3 - 5*j**2 - 5*j - 1949. Let c(l) = 14*l**3 + 2*l**2 + 2*l + 975. What is 2*b(g) + 5*c(g)?\nAnswer: 2*g**3 + 977","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**3 - 3*d**2 - 2*d + 1. Let x(q) = -3*q**3 + 4*q**2 + 3*q - 2. Determine 4*k(n) + 3*x(n).\nAnswer: 3*n**3 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(7\/2)*b)\/b**8*((b\/(b**(4\/7)\/b*b)*b*b)\/b*b)**(2\/29) assuming b is positive.\nAnswer: b**(-1353\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 435291.\nAnswer: 0, 3, 435291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -67.5 - -67. Put i, 4, -0.18, 5 in decreasing order.\nAnswer: 5, 4, -0.18, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 19. Suppose 0 = -x*b + 4*g + 9233, 4*g + 12320 = 4*b + 8*g. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -v**5\/10 + 17*v**4\/12 + 7*v**3\/3 + v**2\/2 - 3*v - 13. Is 22 a factor of y(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1897.\nAnswer: 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(891) - sqrt(891)*1*4)*1 + (6*(sqrt(891) + 1) - ((sqrt(891) + -1 + sqrt(891))*4 - sqrt(891))))**2.\nAnswer: -432*sqrt(11) + 14292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(121)*-5)\/(-2*sqrt(396)).\nAnswer: -5*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -28 - 30. Suppose 10*b = -38 + 668. Let i = b + y. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 5*s**2 - 4*s. Let c be d(6). Suppose -16*v + c*v = -52. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4 - 2 = -2*u, -4*u = -8. Suppose n + j = -2*w + 20, 10 = -2*n. Suppose -2*z + 159 - 45 = 0. Calculate the remainder when z is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 116 + -576\/5. Which is the smallest value? (a) -0.187 (b) j (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0073 + 1.0073. Sort 0.03, 3, h, 0.15 in descending order.\nAnswer: 3, h, 0.15, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 9 - -65 - -24) + -3 - -17?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 8*t**2 - 9*t - 13. Suppose 11*i - 13*i = -306. Suppose 10*l = -i + 503. Let n(j) = -3 - 13 - 13 + l - 4*j**2 + 4*j. Calculate 9*n(y) + 4*q(y).\nAnswer: -4*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 + 0.1. Let w = 1591.49 - 1598. Let a = -3.51 - w. Is p != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 2*t. Let q be 0 + 1 - 4\/2. Which is bigger: t or q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15298776 by 175848.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*l - 13, -l - 8 = 2*q + 2*q. Calculate the highest common factor of l and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 12, u: 7}?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 90\/(-36)*(6\/(-10) + -1). Suppose l*h - 6*h = -108. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1625 - 1.99.\nAnswer: -1626.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3899726 a multiple of 151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39635210?\nAnswer: 2, 5, 23, 389, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 2. Solve -o*q - 8 + 2 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 4*(0 + -1*(sqrt(405) - (-4 + sqrt(405))) + -2))**2.\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 (base 12) in base 10?\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 7335, 1\/6, -1\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3169 (base 10) in base 6?\nAnswer: 22401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1827600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 926, 927, 928?\nAnswer: 929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/((-15)\/(-9)) + 0. Let g = -1 + s. Is (58\/g)\/(4\/68) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 12:02 AM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -27190, -26408, -25626, -24844, -24062?\n\"Answer: 782*p - 27972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 3*z - 37, 4*v - 5*z - 4 = -z. Suppose -a = 3*g + 25, -1881*a = -1882*a - 4*g - 33. Put a, 10, v in ascending order.\nAnswer: a, v, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (77\/((-21483)\/372))\/((136\/(-6))\/(-2))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 127 - 75. Let r be ((-2)\/c)\/(9\/12). Let q = r - -5\/13. Is 0.01 greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9853584140 rounded to the nearest one million?\nAnswer: 9854000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 299*y**2 + 5*y**3 + 300*y**2 + 16*y**3 as u + c*y**2 + q*y**3 + m*y and give q.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*l**2 + 3*l - 13*l**3 - 4*l - l**2 - 15*l**3 - 2*l**4 + 26*l**3 as u*l + a*l**2 + r + j*l**3 + v*l**4 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 15*c - 13. Let t(p) be the first derivative of 7*p**5\/120 - p**4\/4 - p**3 - 2. Let b(u) be the third derivative of t(u). Give 13*b(k) - 6*f(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-2)\/(-6))\/(4\/(-12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*i = -8, 7*x + 2*i = 6*x + 1. List the prime factors of x\/(-12)*9*-188.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - f)*(f - 3*f + 4*f) - 4*f**2 - 4*f**2 + 2*f**2 + (-3 + 2*f + 3)*(2*f + 0*f - 3*f) - 5*f**2 - f**2 + 5*f**2 as m*f + h*f**2 + c and give h.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - 4*o**2 + 5*o**2)*(4 - 4 - 2*o**3) + o**5 + 2*o**5 - o**5 - 10*o**5 + 6*o**4 - 8*o**4 + 63*o**5.\nAnswer: 51*o**5 - 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**4\/5 + 24767*h**3\/10 - 2665082*h**2\/5 + 6630193*h\/10 - 132480 = 0 for h.\nAnswer: -6400, 1\/4, 1, 207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3301894027 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6572704 and 1616.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*m - 3*a + 209 = 0, -a = m - 107. Suppose m = -4*s + 20. Calculate the common denominator of s and (4\/9)\/(2\/(-33)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of y**5\/60 - y**4\/24 - y**3\/6 - 3*y**2. Let t(f) be the first derivative of m(f). What is the first derivative of t(j) wrt j?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258*h = -261*h + 648. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3739.99 + 3740. What is the second biggest value in -4, -2.6, 5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 898 divided by 2151.\nAnswer: 898\/2151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 82204 (base 12) to base 5\nAnswer: 20412021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = t - 6, 0 = 2*t + t - 2*z - 17. Is t equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2201112220101 (base 3) to base 16\nAnswer: 16172b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 67*j + 200. Let i(z) = 69*z + 201. Let n(b) = -5*d(b) + 4*i(b). What are the prime factors of n(-14)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - y = 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(176) + sqrt(176) + (sqrt(176) + -6*sqrt(176)*-2)**2)*5 - (-2 + (0 + -2*sqrt(176))**2)) + 4.\nAnswer: -592068 - 160*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of i**3\/3 - i**2 - 2*i + 23. Let z(r) = r**2 + 5*r - 7. Let u be z(-5). Let b = 10 + u. What is a(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1812805*p*x**3 - 21525*p*x - 265*x**2 wrt x?\nAnswer: -10876830*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150693144.\nAnswer: 2, 3, 7, 896983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - ((-9 - 1) + 11) - -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 180223, 180230, 180237, 180244, 180251, 180258?\nAnswer: 180265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 42*d**2 - 3*d + 3. Let m(p) = -2*p + 9. Let o be m(4). Is 7 a factor of f(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z - 16. Suppose 2*a = 0, -95*p - 11*a + 22 = -93*p. Determine s(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -1992*r - 1768. Let g(o) = -o + 26. What is 408*g(x) + 6*v(x)?\nAnswer: -12360*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/2, -3, -32067?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/16 - (-375)\/120.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 2*k**2 - 2*k - 1. Suppose -6 = -2*c - 0. Let g be l(c). Suppose 5*h + 0 = g*v - 20, 2*h = 2*v - 8. Let a(p) = -p**3 - p**2 + 9. Give a(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11980682705 + -0.0066\nAnswer: -11980682705.0066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.13 - 2.13. Let k = 5 - 5. Suppose -3*a - a = -5*z - 45, -4*z + 4*a - 40 = k. Sort f, z, -6\/7.\nAnswer: z, f, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -88 + -3c1?\nAnswer: -459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - d)*(d + 4 - 4)*(-3 - 2 + 1) - 32 + 32 + 8*d**2 + (-3*d + 3*d - 2*d)*(-4*d + 2*d + 4*d).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 66, -0.05, 4?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1179972 is divided by 18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3086.869148 + 1\nAnswer: 3087.869148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -24*s - 17. Let u be y(-5). Which is smaller: 104 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24991\/10870 + 1\/1087. What is the common denominator of d and -43\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 296*a**2 + 40. Let n(x) = 15*x**2 + 2. Let f(o) = -60*n(o) + 3*z(o). Let u(h) = h - 71. What is f(u(t))?\nAnswer: -12*t**2 + 1704*t - 60492","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 0.035, -0.4, 1\/4, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -2*d + 12, -4*d = -55*v + 51*v - 36 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -11714\/9, 0.4, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 109252*b**3*w**4 + 3*b**3*w - 7*b**3 - 64*b*w**4 + 4127*b*w - 3*b wrt w?\nAnswer: 1311024*b**3*w**2 - 768*b*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/49644 and -67\/138.\nAnswer: 1141812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.25 (b) 2\/17 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/55 and -52\/605?\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7099600 rounded to the nearest ten thousand?\nAnswer: 7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - -8. Let a = 16 - x. Is a at most as big as 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45b256 (base 12) to base 8\nAnswer: 4210242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-131 - -150) + 1 + 0?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -78*m**5 + m**3 + m**2 + 51*m. Let o(l) = l. Let b be o(1). Let c(h) = -h**3. Let g(z) = b*u(z) + c(z). What is the third derivative of g(n) wrt n?\nAnswer: -4680*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/4 and 17\/112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3080 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 - -53. Suppose 0 = 7*w - 3*w - d. Suppose 3*v = 4*v - 2*c, 4*c = -v + w. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -24\/7, 4.7, 1, -507?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - i + 328, 3*r + 530 = 5*i - 464. Let m = 1544 - r. Let w(q) = -q**2 - 4 - 1867*q + m*q. What is w(3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19026868.\nAnswer: 2, 7, 679531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 6*k - 38 = k, 0 = -k + 5. Let r = -6 - f. Let x(p) = p**2 - 5*p - 4. What are the prime factors of x(r)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8246383\/26925920 + 2\/168287. What is the common denominator of f and 83\/64?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -148971 - 681.98.\nAnswer: -149652.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 13*w - 17. Let g(a) = a**3 + 7*a**2 + 8*a - 5. Let h be g(-6). Is 7 a factor of f(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 36\/8*4\/6. Let n = 3964 + -4173.7. Let m = 210 + n. Sort 0.5, m, -4\/3, b in descending order.\nAnswer: b, 0.5, m, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 728791?\nAnswer: 7, 104113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 8556 to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -10*x**2 + 2*x. Let o(j) = 20*j**2 - 4*j. Determine 9*n(a) + 4*o(a).\nAnswer: -10*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -200.903 - -201. Let h = -981 - -981.0427. Let u = v - h. What is u rounded to 3 decimal places?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 7*k**2. Suppose f - 13 + 3 = 0. Let o(h) = h + 7*h**2 - f*h**2 - h. Calculate o(n(b)).\nAnswer: -147*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l*(((l\/((l*l*l**(-1\/3)*l)\/l))\/l)\/l)\/l)\/l))\/(l*l*l\/(l\/l**5*l))*l**7\/l*l*l**5\/l)\/((l\/(l\/(l*l**14)))\/(l\/(l**(-7)*l)))**(-20) assuming l is positive.\nAnswer: l**(509\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(7488\/26))\/((-8)\/(-18))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3\/2)*(y*y**1)\/y*y**(2\/5)\/(y*y**(3\/4)))\/((y**(1\/4)*y)\/y*y*y**0*y*y*y**(-5\/2)\/(y\/y**(-4))) assuming y is positive.\nAnswer: y**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -2*d - 2*g, -3*d - 2*g = 2*g - 52. Suppose 0 = -0*r + 4*r - 20. Suppose -a - d = -r*a. Calculate the smallest common multiple of 11 and a.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1568\/(-224) + ((-69)\/10 - (6\/(-60))\/(-1))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -6. Suppose 2*s = 4*s - c. Let u(t) = t - t**3 - t - 8*t**2 - 2 + 5*t + s*t**2. Give u(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -2. Suppose 2*c = -u*c + 20. Let i(d) = -d**3 + 6*d**2 - 7*d + 6. What is i(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -2*m - y, -23*y + 18*y = -3*m + 57. What is the common denominator of (-37)\/m + 316\/79 and 1\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1008\/3528 + -15*(-2)\/(-56). Which is the second smallest value? (a) -0.1 (b) 0.2 (c) v (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 + 6*n + 4.\nAnswer: -2*(n - 2)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3274?\nAnswer: 2, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/6)\/(32\/(-624)*-26).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 292, 610, 926, 1240?\nAnswer: 1552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 269*a**3 - a - 234*a**3 + a.\nAnswer: 35*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 5*d**3 + 4*d**2 + 3*d + 2. Let s(i) = 15*i**3 + 11*i**2 + 9*i + 5. Calculate -11*n(a) + 4*s(a).\nAnswer: 5*a**3 + 3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 10748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 1\/8, 0.2, -39034, 3, 4.\nAnswer: -39034, -4\/7, 1\/8, 0.2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-8))\/((-12)\/144)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/321 and 19\/276?\nAnswer: 29532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 - 2*z**3 - 294*z + 258*z to d + k*z + b*z**2 + m*z**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -28 + f**3 + f - 2*f**2 + 17 + 6*f**2 + 18. Let d be r(-4). Does 21 divide d - (0 - (-195)\/(-5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -12. Suppose -c + 2*c - 13 = k, -o*k - c - 41 = 0. Let n = -11 - -3. Which is bigger: k or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21249 + -21240. Solve -n = -t + 2*s, 3*t + 4*s - 5 = -28 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 divided by 3411225?\nAnswer: 58\/3411225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11\/408 + 10031\/1224. Find the common denominator of k and 13\/23.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-6)*(-20)\/(200\/(-15))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 462 - 453. Suppose -15 + 120 = 5*f. What is the smallest common multiple of f and i?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + 0)\/(6\/348). Suppose 124*i + 136 = v*i. Are i and -17 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**4\/2 - 29*s. Let d(u) = -u**2. Calculate d(l(b)).\nAnswer: -36*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, j: 4}. What is prob of sequence uju?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*t + 299*t + 11475 = -188*t for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/5 - 8\/(-80)*4. Suppose -2*l + 754 = x*c, -10*l + 4*c = -8*l - 778. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27822 = -1115*x - 12387 - 175 - 17596 for x.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -5*q**3 + 3*q**2 - 2*q. Let p(j) = 7*j + 15*j**3 - 16*j**3 + j**2 - 8*j. Let l(n) = -c(n) + 4*p(n). Let l(g) = 0. What is g?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*w + 4910*w**2 - 4911*w**2 - w**3 - 1 - 4 - 28*w + 4*w**4 in the form r*w**3 + j*w**4 + h*w + n + k*w**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/20?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 754838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9260549*w**2 + 2*w - 1924156?\nAnswer: 18521098*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -301265, -1205119, -2711543, -4820537, -7532101, -10846235?\n\"Answer: -301285*n**2 + n + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 24 (c) 1\/3 (d) -3\/4 (e) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**5\/3 + 128*u**4\/3 - 772*u**3\/3 - 1432*u**2\/3 + 3152*u\/3 + 3680\/3 = 0.\nAnswer: -2, -1, 2, 10, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of o**5\/15 + 2*o**2 + 5*o. Let u(a) be the first derivative of p(a). Let q(v) = -2*v. What is u(q(n))?\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 11) to base 9.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**2 - 10*p - 6. Let y be n(-4). Suppose -f = d - 32, 0 = f - 2*f - y*d + 36. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24157393.5 to the nearest one thousand.\nAnswer: 24157000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 8*g**2 - 42*g + 10. Let m be r(5). Let s be m\/(((-185)\/74)\/(10\/(-8))). Solve s = 4*y + 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 283653750 to the nearest integer?\nAnswer: 16842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 942 and 10304538.\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - (2 - 5)) + 1. Suppose 5*s = -2*g - g + 24, -g - 6 = -r*s. Let m(a) = 9*a. What is the remainder when m(1) is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**(-5))*m**(-1)\/m)\/(m**(-3\/7)\/(m**(-1)\/m))*m\/(m\/(m\/(m\/m**(-3))*m))*m**2*m*((m*(m\/(m**(-3\/7)\/m))\/m)\/m)\/m**4 assuming m is positive.\nAnswer: m**(-71\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9601 + 9481 - (-37 - -2)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8832 is divided by 91?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.08 - -0.08. Sort h, -0.5, 2\/3 in descending order.\nAnswer: 2\/3, -0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4812\/(-5)*21\/12*-10. Let n(j) = -29*j**2 - b + 16842. Let u(q) = -2*q. Determine u(n(f)).\nAnswer: 58*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/3320 and -133\/275892.\nAnswer: 2758920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.8517 and 5.\nAnswer: -19.2585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 0*s + 4*s)*(2 + 3 - 3) - 2 + s + 2 + 3*s + 3 - 3 + 1 - 1 + 2*s - 4*s + 3*s + 3*s + 8 - 19*s - 8.\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 1 = 5. Let h = -114 + 75. Let j = h + 116\/3. Is j at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -6332363?\nAnswer: 6332365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((6 - 9) + -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 90779?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14712 divided by -14?\nAnswer: -7356\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -31884 divided by 8784\nAnswer: -2657\/732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 51 - 66 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 892 + -892. Let p(c) be the third derivative of 0 + 0*c + c**2 + 1\/16*c**4 - 1\/120*c**5 + a*c**3. Factor p(y).\nAnswer: -y*(y - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - r + 3*r - 2109, -8 = -4*r. Let m = j + -331. Calculate the greatest common divisor of m and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, y: 3, i: 3, z: 2, o: 9}. What is prob of sequence uo?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-44)\/(-8)*(-264)\/(-726). Solve c*h + r = 7*h + 8, -2*h + 3*r = -2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -10*t. Let c(q) = -19*q. Let i(r) = 3*c(r) - 5*o(r). Let s(u) = -u**2. Determine i(s(p)).\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24888\/19 + -1310. Which is smaller: 0.1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 468 is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((3*sqrt(162)*5 - (sqrt(162) + 4 + sqrt(162) + 2)) + 4)**2.\nAnswer: -468*sqrt(2) + 27377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 564789*c**3 - 3 + 9 + 3 - 12*c**2 - 1 - 564782*c**3.\nAnswer: 7*c**3 - 12*c**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/188)\/(((-6030)\/(-469))\/(-30)*14\/(-8))?\nAnswer: 3\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 1:07 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 - -10102021?\nAnswer: 10102201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/1*(-42)\/(-4). Suppose -3*r - 3 = -18, -4*x - v = -5*r. Let m = 36 + -27. Solve x - m = 2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 1:52 PM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -450 + 432. Which is the biggest value? (a) 5 (b) 2\/15 (c) 4 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*y - 25 = -w + 29*y, 5*y = 5*w - 50 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -272?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, w: 4, h: 6}. Give prob of picking 1 h and 1 d.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8219015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/((-693)\/72))\/((-3)\/(-42))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 770?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111200101021 - 10?\nAnswer: -111200101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 9) to base 15.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -135395, 9, -1 in ascending order.\nAnswer: -135395, -1, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49 + -129. Let z = y - -45. Let k = 58 + z. List the prime factors of k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25347805 and 28576?\nAnswer: 893","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6964 divided by 1741?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -2*q**3\/3 + 8. Let d(s) = -11*s**2. What is j(d(b))?\nAnswer: -242*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -100*d**2*u**2 - 243*d**2*u - 20*d**2 - d*u + 3*d - 8589*u**2 + 3*u wrt u?\nAnswer: -200*d**2 - 17178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -724, -2507, -5982, -11713, -20264?\nAnswer: -32199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/11)\/j**(-1\/5))**(3\/14)\/((j*j\/(j*j**8))\/(j*j**(-3\/2))*(j\/j**2)**(-1\/65)) assuming j is positive.\nAnswer: j**(6495\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 157, -13, -297, -695, -1207, -1833, -2573?\n\"Answer: -57*r**2 + r + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 + 2*i**2 + 1398803*i - 1398808*i.\nAnswer: i**2 - 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.02 (b) 5 (c) -56\/3 (d) 1012\/7 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 6:25 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8960985443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 + -2 - -14*2\/(-4). Find the common denominator of 127\/70 and (488\/224 - j) + -9.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23490, 32154, 46586, 66780, 92730?\nAnswer: 124430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*i - 54 = -334 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 123, 1031, 3525, 8409, 16487, 28563, 45441, 67925?\n\"Answer: 134*f**3 - 11*f**2 + 3*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 266953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8917 is divided by 8766.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*m**4 - 119*m**2 + 9*m**4 - 22*m**4 + 127*m**2 wrt m.\nAnswer: -624*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j + 6. Let m be i(3). Suppose f + 6 = -3*b - 1, -5*f + 13 = -b. Solve 3*x + 12 = m*z, 0 = 5*z + 4*x - f*x + 15 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -78 + 138. Suppose -k*t = -56*t - 2736. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -208 - -236. Suppose p*z = 189 + 91. Solve 2*s = 5*s + 2*l - z, -5*s - 4*l + 18 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -9*r**2 - 2*r**2 + 4*r**3 - 13 + 4*r + 7*r**2 + 3 - 3*r**2. Let y(x) = -5*x**3 + 7*x**2 - 3*x + 11. Let k(w) = -6*s(w) - 5*y(w). Calculate k(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a**2 + 5*a + 1. Let j be p(-2). Let u(g) = 2*g**2 - 8*g - 13. What is the tens digit of u(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 take away -0.021?\nAnswer: -34.979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.303 - -0.2.\nAnswer: -0.103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 7 = -59. Let y = 6870 + -6496. Calculate the highest common divisor of y and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5515931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2. Let a(b) = 62*b + 60. Let t(s) = -100*s - 93. Let j(w) = 8*a(w) + 5*t(w). Determine j(i(h)).\nAnswer: 4*h**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -79*h + 5. Let d be m(0). Solve 4*t - d*b + 7 = 0, -2*t + 2*b - 101 = -99 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*3*(sqrt(2) + 1)*5.\nAnswer: -90*sqrt(2) - 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -2 + -6 - (-144 - -138)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - -4 - 2) + -39 - (1 - 2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29822401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (124\/(-7))\/(((-16)\/(-7))\/(-8)) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 50 = 2*d, 0 = 3*d - 329*m + 324*m - 75. Calculate the remainder when 195 + 1*(-2 - -2) is divided by d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15*(-4)\/(-140)*(11 + (-704)\/33))\/1.\nAnswer: -31\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -106 + 160e?\nAnswer: 1508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -321.9 - -322. Which is the second biggest value? (a) -4 (b) 1.5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*z**5 + 374*z**4 + 2*z - 43 wrt z?\nAnswer: 80*z**3 + 4488*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58 (base 16) to base 4.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 4 = 0, -5*n - 7*x + 25 = -2*x for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 3, -0.06, 4\/3 in ascending order.\nAnswer: -0.06, 4\/3, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -20*w. Let l(z) = -33*z. Let d(b) = 5*a(b) - 3*l(b). Let s(n) = 2*n**2 + 4*n - 9. Give d(s(y)).\nAnswer: -2*y**2 - 4*y + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-83612)\/(-9) + 4\/(-18) - 0. Suppose 0*o = 3*n - 2*o - 5587, 5*n + o = h. Determine t so that 1859*t + 33*t**3 + 12*t**4 - 9*t**2 - n*t = 0.\nAnswer: -3, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 5:41 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 245, 434, 563, 638, 665, 650?\n\"Answer: g**3 - 36*g**2 + 290*g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1515, 1523, 1545, 1587, 1655, 1755, 1893?\n\"Answer: o**3 + o**2 - 2*o + 1515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*t, -m + 17*t = 19*t + 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + -13 - (-13 - (10 + -12)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/5 (b) 2\/7 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 117672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-172 - 25*i + 172)*(i + 7 - 7).\nAnswer: -25*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, 56, 4, 33, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 13*z**2 - 359*z - 136. Let j be d(28). Solve -w - 2*o - 8 = 0, o = -3*w + 5 - j for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 333?\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-665)\/(-112) + -6 - (-303)\/(-16)).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c**2 + 274*c - 2858. Let k be r(14). Let w = 1\/1437 + -16446\/479. Let x = 35 + w. What is the second smallest value in 0.1, k, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -2*n + 76. Suppose 0 = -d + 14 - 40. Let h = d + n. Is h a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-328)*8\/28*7\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 30*d + 1. Suppose 714 = 25*m - 961. Let x(h) = m*h + 67*h - 132*h. Determine x(a(t)).\nAnswer: 60*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 212363597.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.13, -243, -52\/11, -3, 2?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 0 - f + 4 - 2*f. Let a(q) = 2*q**3 - 19*q**2 + 27*q - 159. Let h be a(9). What is y(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (0 - (10 - 4))) + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 82 - 160. Let s = f + 207. Suppose 5*l + 391 = 3*j, -j = -2*j + l + s. List the prime factors of j.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9520, 16426, 20724, 22414?\nAnswer: 21496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -22*p**2 - 1. What is u(-1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 1523\nAnswer: -1522.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 240, 1 in ascending order.\nAnswer: -5, -3, 1, 240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.09 and -67.\nAnswer: -6.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 21. Suppose 0 = -3*t + d - 4*d + 54, -3*t + 53 = q*d. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a decade?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*p + 38*p + 46*p + (3 + 1 - 2)*(-p + 0*p + 3*p) + 4*p + 3*p - 5*p - 2*p + 1 - 1 + (5 + 1 - 4)*(p + 3*p - 2*p) - p + p + p - 3*p + 0*p + 4*p.\nAnswer: 78*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mud when three letters picked without replacement from duremuumurmurdmemrmm?\nAnswer: 7\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -858 + 1414. Let p = o + -604.8. Let x = p - -57. Round x to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of -n**8\/1848 + n**6\/330 - n**4\/132 + 1093*n**2. Factor h(a).\nAnswer: -2*a*(a - 1)**2*(a + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhlhhiirliffiiliilah. Give prob of picking 1 f and 2 r.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 95965907 to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 b, and 1 s when four letters picked without replacement from sbuolooboooiso?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1021.87556 + -0.22444. Round c to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-12)\/(-27)*(-1458)\/(-324)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (-1)\/((-3)\/15)) + -9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 591814307 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -z**7\/840 - z**6\/360 + z**5\/24 - z**4\/8 - 2*z**3\/3 + 5*z. Let b(n) be the second derivative of y(n). What is h in b(h) = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1340.49 to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 z when three letters picked without replacement from {a: 2, s: 12, z: 3}.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 106476823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1177358414.\nAnswer: 2, 29, 101, 200983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13\/60 - -1\/30. Let m = -0.21 - -0.01. What is the biggest value in y, m, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/13)*(v\/(v**(-2\/5)\/v))\/v*(v**3*v)\/v**(1\/6))**13 assuming v is positive.\nAnswer: v**(2101\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 55157?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + f + 0*f)*(2*f - 2*f - 2*f) - 3*f - 2*f**2 + 3*f.\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*y**4 + 117*y**2 - 59*y - 2?\nAnswer: -24*y**2 + 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 941338 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 493*i**2 + 53*i - 493*i**2 - 4*i**3 + 0*i**3.\nAnswer: -4*i**3 + 53*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -9405*d - 5138*d - 5989*d - 8860*d as t*d + x and give t.\nAnswer: -29392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29205*i + 186308 - 186308 to t + g*i and give g.\nAnswer: -29205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2691 and 1035.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m*m**(-12))*m)*m)\/m**11 assuming m is positive.\nAnswer: m**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34182\/(-405) - 32\/(-5)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1193*b**2 - 324*b**2 + 0 - 441*b**2 + 0 - 480*b**2.\nAnswer: -52*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 8\/7 of a week?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000624469057 rounded to seven decimal places?\nAnswer: 0.0000624","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l + 1 + 104*l**2 + 0*l + 325*l**2 to the form u*l + t + i*l**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244 is divided by 26.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*h - 124*h = 57*h - 592000. Does 62 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/7*-24*12\/180.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2. Let z be (-2*(-14)\/4)\/1. Let w = z + -5. Let g(k) = -6 + 6 - w*k**2. Calculate g(l(v)).\nAnswer: -2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -323 (base 6) to base 12.\nAnswer: -a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -37*o**3 + 22*o**2 - 1. Let g(x) = 18*x**3 - 10*x**2 + 1. Let d(i) = 7*g(i) + 3*w(i). Let n(u) = 76*u**3 - 19*u**2 + 19. Calculate 19*d(v) - 4*n(v).\nAnswer: -19*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -c**6\/69 - 2*c**5\/115 + 3*c**4\/46 + 10*c**3\/69 + 2*c**2\/23 - 5. Suppose j(o) = 0. Calculate o.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*u + 93*u = 100 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 3*q - 1. Let o be u(6). Let a = 23 + o. Solve 8 = -6*z + a*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (92\/(217672\/(-845)))\/((-10)\/(-96)).\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 2*a**2 - 9*a. Let d be r(-4). Suppose 340 = 4*o - d*t, 56 = 2*o + 5*t - 142. What are the prime factors of o?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -557135 and 5.\nAnswer: -2785675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2162.8 - -2163.090208. Let y = j + -0.29. Round y to 5 decimal places.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -ac (base 16) to base 7\nAnswer: -334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 2)\/(-5 - -1). Let o(r) = -2*r - 43. Let j be o(k). Let p = -30 - j. What is the remainder when 24 is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 2\/69, -2\/63, -19, 0.041?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*g - 78*g + 29*g - 2*g**3 + 29*g.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 119332 and 119332.\nAnswer: 119332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*d**4 + 59*d**4 - 64 - 114*d**4)*(-5*d + d + 16*d).\nAnswer: -12*d**5 - 768*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148*q = -142*q. Solve q = -12*z + 15*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 12:19 PM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3739 + -5.\nAnswer: -3744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8442 divided by 37722?\nAnswer: 1407\/6287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-35)\/14)\/((-2 + 3)\/(-2)). Which is smaller: 31\/7 or j?\nAnswer: 31\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i - 10*i = 54 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 148458763 less than or equal to 148458768?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5695 (base 12) in base 5?\nAnswer: 301432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.99 + -1.19. Let g = 0.353 - 0.153. What is the smallest value in y, 2\/13, g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -30932 - 1?\nAnswer: -30933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 5:32 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -902, -934, -966, -998?\n\"Answer: -32*j - 870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 7:48 PM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (q + 3*q - 3*q)*(q + 2 - 2) + 8 + 3413*q**2 - 90 - 3409*q**2 in the form f*q + u*q**2 + p and give p.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 354, 91.93, 0.2?\nAnswer: 354","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*q - 22 = 0, 0 = 2*q + 8 - 0. Let k(c) = c - 3*c**a - c**3 + c**2 - 4 + 7*c**2. Suppose 8*l = 5*l - 4*v + 19, -27 = -5*l - 2*v. Calculate k(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*h + 4*r + 1, 0 = -5*h + r + 12. Let j be (h + -5)\/(30\/36). Which is smaller: j or -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of h**5\/5 - 4*h**3\/3 + 639*h**2\/2 - 94*h + 4701. What is the first derivative of n(m) wrt m?\nAnswer: 4*m**3 - 8*m + 639","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*0.586.\nAnswer: 1.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -55 in 0.04, -24, 30, 3\/2, 43?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2*3)\/(3\/(-14)). Suppose -2*l = -0*l - p. Factor -4*y**3 + 4*y - y**4 + 17*y**4 - 2*y**4 - l*y**2.\nAnswer: 2*y*(y - 1)*(y + 1)*(7*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 5*n - 3 = 2*n, 5*v = 5*n + 45. Let f(i) = i - 12. Let a be f(7). Sort a, -1, v.\nAnswer: a, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 143*c**2 - 7. Let p be v(8). Let l = -54737\/6 + p. Find the common denominator of ((-42)\/15)\/(4\/12) and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + 17. Let w = -8 + d. List the prime factors of w.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10442 (base 5) to base 13\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2822 and 3921086.\nAnswer: 66658462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18662374 is divided by 698?\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v + 0*v + 3*v + (0*v + v - 3*v)*(1 - 2 + 9).\nAnswer: -14*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*l - 19 + 179 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 90 + -92. Put i, 4, -3, 20 in decreasing order.\nAnswer: 20, 4, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 - (51 - 27) - -39.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of l**4\/54 + 34*l**3\/27 + 289*l**2\/9 - l + 32. Factor k(p).\nAnswer: 2*(p + 17)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by (-1 - 8\/(-20)) + 3174\/115.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1616 and 4.\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times -0.35141\nAnswer: -0.0245987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18761 - -18668. Does -0.077 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64663 divided by 2\nAnswer: 64663\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 93543013 rounded to the nearest ten thousand?\nAnswer: 93540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(1\/4))**13*o*o*(o\/(o**3*o*o)*o)\/o*o*o*o*o**(12\/5) assuming o is positive.\nAnswer: o**(393\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 + -0.3. Let g = 26898 - 26861. Put g, -4, k, -2 in ascending order.\nAnswer: -4, -2, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 78*f**5 - 119 + 119 + (-f**3 + f**3 + 2*f - f**3)*(-f**2 + 7*f**2 - 2*f**2).\nAnswer: 74*f**5 + 8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 0 - 21 - -4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/3)\/(-2 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 103*u**2 - 4*u - 4. Suppose -8*o + 4*o - 3*r + 28 = 0, 4*o - 5*r - 28 = 0. Suppose -4*i - 11 + o = 0. What is the tens digit of g(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29*q**4 + 17*q**4 + 23*q**4 + (-21*q**3 - 6*q**3 + 0*q**3)*(-1 + 4*q + 0*q + 0*q).\nAnswer: -97*q**4 + 27*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 + 180*n**2 - 2100*n + 7840.\nAnswer: -5*(n - 14)**2*(n - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -6*a + 11. Let x be (0*(-4)\/16)\/a. Suppose 2*l + 3*c + 57 = x, 2*l + 3*c - 2*c = -59. Round l to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 377849, 377850, 377851, 377852, 377853?\nAnswer: 377854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in 2\/7, 3, 42?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-10)*14*(-2)\/(-56)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -52632134044 minus 12?\nAnswer: -52632134056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*w + 28*w - 78*w - 5 + 18*w to s + d*w and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4862 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 4:53 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/17)\/(c\/(c*c**(-1\/11)*c))*(c*c*c*c\/(c*c\/c**(3\/13))*c)\/(c\/c**(-4\/5)*c) assuming c is positive.\nAnswer: c**(17001\/12155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 28505*c**2 + 57719.\nAnswer: 57010*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -51*k**2 + 9*k - 143. Let l(x) = x**2 + 2*x - 31. Determine 5*l(i) - o(i).\nAnswer: 56*i**2 + i - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6280381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22567320.\nAnswer: 2, 3, 5, 62687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*p = -196*p - 2*u + 40, 3*u - 4 = 4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -5*j - 4, -g + 4*j - 8*j - 2 = 0. What are the prime factors of 16\/((-160)\/(-1155)) - (-1)\/g?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 41*s - 827. Give q(43).\nAnswer: 936","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/85 equal to 3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*c, -2*t - 3*c = -c - 10. What is the first derivative of -t - 4*m**3 + m**3 + 0 wrt m?\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 70\/(-26)*(-36)\/144 and 83\/10.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 8, -1, 344 in ascending order.\nAnswer: -1, 3, 8, 344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/5, -1\/13, -10.82, -32, -4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2*(-1)\/(-2))\/2)\/(-1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 1 = 10. Let i be (-1 - -10)*(-2)\/m. Let c = i - -10. Does 2 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004336785756 rounded to seven dps?\nAnswer: 0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -5*l - 16. Let v(t) = 11*t + 33. Let q(h) = -13*c(h) - 6*v(h). Let m be 0*3*4\/24. Give q(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t + 4. Let m = -43 - -45. Let n be b(m). Suppose -r - 2 + 4 = n. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 852906?\nAnswer: 2, 3, 142151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -102*x + 1 + 208*x + 2 + 168*x - 4 to the form t*x + q and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -1. Suppose 1 = -h + 2*g, -2*h + 4*g - o = g. Let u = -17 + 17.1. Which is the closest to h? (a) u (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 - 80785*o + 8825850.\nAnswer: 5*(o - 16047)*(o - 110)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 100*g**2 + 336*g - 7582. List the prime factors of b(24).\nAnswer: 2, 113, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 11. Let f(m) = m**2 - 1. Let t be f(l). Solve t = p + 4*s + 6, -4*p + 4 = -s - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 106866 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3846 divide 109111020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.03 - 15.07. Let x = -15.0999639 - p. What is x rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 183*3\/45*55?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/(v\/(v\/((v\/v**(1\/3))\/v)*v)*v))*v)**(-47\/5)*v**(1\/4)*v**(2\/3)*((v\/v**(-2\/11))\/v**(2\/19))**(-6\/5) assuming v is positive.\nAnswer: v**(-13411\/836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 193\/1297890 and 67\/1102.\nAnswer: 37638810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and 37856.38?\nAnswer: 2271.3828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w**3 - 13*w**2 + 49*w + 263. What is q(-4)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**3\/5 - 56*z**2 + 10336*z\/5 - 36992\/5 = 0.\nAnswer: 4, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0 - 3 + 5*g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 6 = 0, -4*p + 2*k = k + 62. Let i = p - -29. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 8, l: 2, i: 6, y: 2}. What is prob of sequence iyll?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/22 + 84\/22. Let i be 2*9*2\/b. Is i != 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -18107.23 to the nearest 100.\nAnswer: -18100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -3 + 8 + -5 + -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4 = -3, -3*l + 208 = -2*i. Solve -3*a + 61 = l for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 97 + -4 + 8\/1. Differentiate 66 - 6*v**3 + 89*v**3 + x - 37 wrt v.\nAnswer: 249*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(-4 + 2 - 3)*(31*n - 8*n + 94*n).\nAnswer: -1170*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - (-1 - -7)) + (-19752)\/4770. Let m = f - -117\/53. Find the common denominator of m and 67\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-20)\/25*1)\/(10\/(-25)). Suppose -2*t + 2*i = -4, -w*t - 11 - 13 = 5*i. Let g(p) be the second derivative of 3*p**3\/2 - p**2\/2 + p. Give g(t).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bfbp when four letters picked without replacement from {b: 6, p: 4, f: 2}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 618 is divided by 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5361 + 32167\/6. Let b(v) be the third derivative of -k*v**4 + 1\/15*v**5 + 0 + 0*v**3 + 2*v**2 + 0*v. Suppose b(m) = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 8*y + 19. Let j be w(10). Let m be (222\/24 - -1) + j\/4. Let k(t) = -6*t - 2. Let i be k(-2). Calculate the highest common divisor of i and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2353497 by 8.\nAnswer: -2353497\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11680*u - 5454*u - 13 - 5547*u.\nAnswer: 679*u - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 9:47 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -680 - -1.4072\nAnswer: -678.5928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16950*q + 3697751.\nAnswer: 16950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4 - 7*q - 3*q - 3 + q. Let a(r) = -10*r + 1. Let j(y) = -6*a(y) + 5*k(y). What is the tens digit of j(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 1, -1\/13, -3\/2, -8, -1\/48?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y + 16 - 7 - 7*y - 3 + 2*y**2 = 0. What is y?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -9. Let p be (-243)\/36 - h\/(-8). Let j(r) = -r - 13. Give j(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.4 (b) 3\/5 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*p**2 - 73*p**2 + 3 + 48*p**2 to the form b*p + d*p**2 + j and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 2112.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58339 is divided by 19344.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 18*d**2 - 20*d + 138. What is f(17)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (18\/(-12))\/((-2)\/12). Suppose -l + 6 + y = 0. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 18*f + 170448 = 0. Suppose -4*h = -2*p - 4438 - f, 3*h - 8655 = -2*p. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113237.\nAnswer: 17, 6661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 262 + -47. Suppose 5*b = -s + 1180. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1170\/8775*-4*(-99)\/(-110)?\nAnswer: -12\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/144 and 1\/8591910.\nAnswer: 206205840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -37 (b) 28 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 6:18 AM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3357 + -1888. Suppose 16*x = v + 3107. Is x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eh when two letters picked without replacement from {p: 1, r: 1, e: 2, h: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/210 + (-5 - 156\/(-21))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 421*l - 841*l - 36*l**3 + 424*l - 2*l**2 + 10 - 9 in the form n + p*l**3 + m*l + b*l**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 160 and 1568.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t**2 - 12*t - 12. Let b(j) = -2*j**2 - 6*j - 6. Let l(a) = -5*b(a) + 3*q(a). What is the tens digit of l(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**3\/9 + 374*d**2\/3 - 2878*d + 7518 = 0?\nAnswer: 3, 21, 537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5633 + -5635.379. Let l = p + -0.021. Let z = -2.6 - l. What is the third biggest value in -0.4, z, 27?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 14*s - 1. Determine t(-15).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.5 - 0.5. Let y be ((-35)\/(-10) - 4)*-8. Let i be y\/(-22) + (-41)\/(-44). Which is the smallest value? (a) u (b) i (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -153066\/31, 3, -0.1 in decreasing order.\nAnswer: 3, -0.1, -153066\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 - 10010001?\nAnswer: -10001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/11 - 2053858*h**2\/11 + 4107724*h\/11.\nAnswer: -2*h*(h - 2)*(h + 1026931)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) -8\/7 (c) -4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezehzoss. Give prob of sequence eo.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 8, -1, 3, 0, 11 in decreasing order.\nAnswer: 11, 8, 3, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**3 - 111 + 51 + 3*s**3 to the form v + y*s**2 + z*s + b*s**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.024866708 and -15.\nAnswer: -15.024866708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a meter in centimeters?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 8 - 7 - 23)*(f - f + 7*f)*(7 - 7 - 22*f).\nAnswer: 4312*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 + 17. Let l = 24 + n. Let u be (2 + l\/(-3))*-9. Round u to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 + -501a?\nAnswer: -5023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -7 - 3 + d - 6 + 22. Give c(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 15?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -2758.\nAnswer: -3\/2758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/10 + 18\/5. Let p be (o\/12)\/(1\/21). Suppose -4*t = -p - 5. Solve -t*z = -4*m - 15, -3*z + m - 6 = 4*m for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 6:23 PM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 4*c**2 + 4. Let z be -1*(1 + -4 + 4). Let k = z - 0. Let g(v) = v**2 - 1. Determine k*i(u) - 4*g(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 97701\/112 - 6147\/7. Let w = -60 - -28. Find the common denominator of d and (2\/33)\/(w\/72).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5958632, 11917258, 17875884, 23834510?\n\"Answer: 5958626*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m. Let i(c) = 2*c**2 - c**2 - 136 - 85 + 78 - 122. Give i(r(o)).\nAnswer: 4*o**2 - 265","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 - 4*g**2 + 5*g**2)*(-2*g**3 - g**3 + 0*g**3) - 6*g**4 + 5*g**4 + g**5 - 3*g**4 - g**2.\nAnswer: -2*g**5 - 4*g**4 - g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-92*(-9)\/(-36))\/(((-1)\/4)\/(65\/(-260)))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -14.796406419 and -0.11.\nAnswer: -14.906406419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/15)\/(4\/340). Find the second derivative of r*z**5 - 8*z - 80*z**5 - 4*z wrt z.\nAnswer: -240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 21 + 4 + -8 - 8.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 716\/2164561 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -216 + -4?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -8. Let f(d) = 0*d - 5*d + 4*d + q. Let x be f(9). Which is the closest to -1? (a) 0 (b) -1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 14.5697622 hours?\nAnswer: 0.086724775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*s + 9. Let r(p) = p**3 - 9*p**2 - 2*p + 11. Let m be r(s). Let n = -2 - m. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 81477715 to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 100 - 99. Suppose -5*q + t + 9 = 0, -3*k = q - 161. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 179811940 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2055835 (base 10) to base 15\nAnswer: 2a920a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**3*i**(2\/3)*i\/((i*i*i**(3\/8))\/i)*i\/i**(-2\/25)*(i**1*(i**(2\/7)*i)\/i)\/(i\/i**4*i**(-6)) assuming i is positive.\nAnswer: i**(61561\/4200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 568 is divided by 143?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1aeb (base 16) to base 11\nAnswer: 51a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 11, f: 3}. What is prob of picking 2 z?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -100 - 3*l + 100. Let y(u) be the first derivative of 3*u**3 - 2. Calculate r(y(v)).\nAnswer: -27*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40556054 by -3.\nAnswer: 40556054\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 16*c**2 + 15*c + 63. Let a be t(15). Let u(n) = 99*n - 37*n - a*n. Give u(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 223225.7 millilitres?\nAnswer: 223.2257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 3*u + 3, 5*f + 19 = 4*u + 15. Let x(n) be the first derivative of 8 + 10*n - 2\/3*n**3 + f*n**2. Find the first derivative of x(w) wrt w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 338 - 8 = 0. What is f in 17*f**4 + 2*f**5 + o*f**2 - 55*f**2 - f**4 + 36*f**3 - 54*f = 0?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9566*h - 3450*h**2 - 3446*h**2 + 6897*h**2 + 36727*h.\nAnswer: h**2 + 27161*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 319 by -29.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234 = -19*o + 310. Let q be 4 - (6\/3 + -2). Suppose q*p = -o*k + 128, -4*k = -5*p + 6*p - 41. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*g + 2*j, -14 = 4*g + 30*j - 27*j for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126 and 441?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3807 is divided by 936?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.86 - 0.89. Let l = -0.5 + 0.8. Which is the closest to i? (a) 1\/2 (b) -3\/5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(1\/5)*h*h**6*h)\/(h**0)**(8\/3)*(h**10*h\/(h**8\/h))**(-11) assuming h is positive.\nAnswer: h**(-174\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10795 + 92*h**3 + 10795 + (-2*h**3 + 0*h**3 + 0*h**3)*(-5 + 5 + 1).\nAnswer: 90*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 562.1 rounded to the nearest ten?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*n - 1560 = 473*n - 13*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102244 (base 5) in base 11?\nAnswer: 13370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -849, -98, 5 in ascending order.\nAnswer: -849, -98, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-162))\/((-2350)\/2820)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 243*z + 623*z - 274*z + 1346*z to the form u + v*z and give v.\nAnswer: 1938","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 p, and 1 t when three letters picked without replacement from mzsstlp.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -733*l - 167*l + 219*l - 240*l.\nAnswer: -921*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -2) + (-39)\/37. Let z = -657.9898 - 0.0102. Let a = z - -656. Which is smaller: a or r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 731.756 and -579752933.\nAnswer: -579752201.244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 5:07 PM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 359939869 to the nearest integer?\nAnswer: 18972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 + 79. Suppose -5*v + 3*u + x = 0, -2*v + u + 42 = 3*v. Let n(k) = k**2 + 8*k + 1. What is the least common multiple of v and n(-9)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 703*w - 704*w - 8*o = 12, 3*w - 2 = -5*o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.784839ug to milligrams.\nAnswer: 0.008784839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 19 = -16*m + 19*m, 4*y = -2*m - 16 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*t + 87*t - 1176 = 0. What is the remainder when 155 is divided by t?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1651, -3305, -4961, -6619?\n\"Answer: -m**2 - 1651*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 15*s - 15 = -14*s, -3*j + 9 = -2*s. Find the second derivative of -210 + 50*d + 27*d**j + 107 + 145*d**3 + 103 wrt d.\nAnswer: 1032*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109 = -26*l + 213 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -55120.047 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 153803270766*g**2 + 0 + 153803270816*g**2.\nAnswer: 50*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2165300 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139 = -3*b + 170. Suppose -3*h - 37 + b = 0. Suppose -2*i + 5*i - y - 53 = 0, 0 = -i - 4*y + h. Is i a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/12 + (-5095693)\/62988 + 81.\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of w**3\/3 + 2*w**2 - 6*w + 20. Let c(y) = y - 1. Let g be 2\/(-9) + 112\/18. Calculate g*c(q) - t(q).\nAnswer: -q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2897260 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 a, and 1 b when four letters picked without replacement from hhbhabbba?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 2:30 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of 2*d**3\/3 + 78. Let f(b) = -b**2 + 1. Let z(o) = -13*o**2 + 2*o - 6. Let v(s) = -6*f(s) - z(s). Give v(i(u)).\nAnswer: 76*u**4 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r - 2. Let o be i(-2). Suppose -o*s + 4*b - b = -33, -4*b - 4 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27265, -54538, -81811, -109084, -136357, -163630?\nAnswer: -190903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 20239626.\nAnswer: 20239626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*a**5\/5 + 270572*a**4\/5 + 2006722*a**3\/5 + 837592*a**2\/5 + 66248*a\/5 = 0.\nAnswer: -2366, -7, -1\/3, -2\/19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (141\/(-47))\/(9\/225*(-9)\/(-3))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 10) to base 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 6*j + 3. Let f be a(5). Let p be f\/2 + (-2 - 6). Let u = p - -10. Solve y - u - 2 = -n, -4 = -n for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30\/60)\/((-3)\/6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 u when three letters picked without replacement from {z: 1, m: 1, u: 14}?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -42, -103, -182, -261, -322, -347?\n\"Answer: 3*s**3 - 27*s**2 - s - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1079, -4241, -9489, -16805, -26171, -37569, -50981, -66389?\n\"Answer: 3*p**3 - 1061*p**2 - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -100, 1\/2 in descending order.\nAnswer: 1\/2, -4\/7, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 + -0.3. Suppose 4*v - 13 - 27 = 0. Suppose 0 = i + i + v. Which is smaller: w or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(425) + -2)**2*2*2 + ((5*(1*sqrt(204) + sqrt(204)))\/(sqrt(132)\/(sqrt(44)\/sqrt(4))))**2 + -2.\nAnswer: -80*sqrt(17) + 3414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g - 3. Let t be c(-7). Let l be 2 + 421 + 8 + -1. Find the common denominator of (l\/t)\/(-5)*(-2 + 4) and -28\/11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 10 + 9 + -19 - -9 - (-1 + 4)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 1. Let z = -0.7 + 0.4. What is the closest to x in z, 1\/9, 5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, 0.04, 3, 0.2177, -4 in descending order.\nAnswer: 3, 0.2177, 0.04, -0.02, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 - -0.05. Let r = f - -0.7. Let s = 2.95 - r. What is the second biggest value in -2, 2\/7, s?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of 41\/30*i**6 + 0 + 1\/21*i**7 + 0*i**5 - 2\/3*i**3 + 1\/3*i**4 + 20*i + 0*i**2. Find the third derivative of a(w) wrt w.\nAnswer: 120*w**2 + 984*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -3*o**4\/4 - 67*o**2\/2 - o + 11. Differentiate h(n) with respect to n.\nAnswer: -18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - (-60 - -32 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 132 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 - 7 - 10)*(15*r**2 - 6 + 6) in the form d + u*r**2 + i*r and give u.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-18 - -24)*((-4)\/10 + (-327164)\/(-60))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 4. Suppose -x = k - 7. Suppose -2*l + k = 2*j - 3, -l + 3*j = -18. Let w(b) = b - 5. Give w(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - 3*(20\/(-12) - -1). Suppose 4*n - 16 - 128 = 0. Suppose -3*a = h - n. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24868 is divided by 4057?\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1035713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -6 - k + 14 - 6. Let i be z(1). Let a = 0.2 - 0.2. Which is bigger: i or a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 780 and 3768.\nAnswer: 244920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-110*s**2 + s**3 + 110*s**2)*(2 - 2 + 2*s + 0*s - 2*s + 4*s + (-1 + 3 + 0)*(-2*s - s + 4*s) + 2*s - 2 + 2 + (-84 - 85 + 161)*(4 - 4 + 2*s)*(1 - 2 + 3)).\nAnswer: -24*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 4:24 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*y**2 - 5*y**2 + 0*y**2)*(-23 + 9*y + 23) as k*y + v*y**3 + j*y**2 + d and give v.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-5 - (-5 + 16\/4)). Let b be (-4)\/1 + (0 - r)\/1. Put b, 5, 4, -92 in decreasing order.\nAnswer: 5, 4, b, -92","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11968 times -0.1?\nAnswer: -1196.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 1254?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of 2*r**5\/45 - 2*r**4\/3 - 28*r**3\/9 - 44*r**2\/9 - 10*r\/3 + 3966. Factor a(l).\nAnswer: 2*(l - 15)*(l + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 50, 122, 222?\nAnswer: 350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 763\/(-3) + 7\/3 + -3. Let r = -115 - x. Suppose z + r = 2*z. What is the greatest common divisor of 10 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*2*(-2)\/(-4). Let s be (q\/12)\/((-3)\/588). Suppose -30*y + 14 = -28*y. What is the highest common divisor of y and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 16*v + 158. Calculate the remainder when 129 is divided by f(-7).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41936267 is divided by 88473.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 14332, 57393, 129198, 229753, 359064, 517137?\n\"Answer: m**3 + 14366*m**2 - 44*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 - -87. Suppose -3*r = -2*n + 64, r + 2*n + s = -3*n. Round r to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s + 19*s - 2 = 0. Is (-21786)\/(-8) - -7*s\/(-28) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -202 (b) 3 (c) 5 (d) 2 (e) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 84 + -78.9. Let h = x - 5.56. Round h to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -248.447 and -198?\nAnswer: 49192.506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c + 4. Suppose -26*u + 24*u + 4 = 0. Let y(b) = 10*b + 9. Let k be (-10)\/4*(-26)\/(-130)*10. Calculate k*g(m) + u*y(m).\nAnswer: -5*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -22.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*((-90)\/8 - -2). Which is smaller: -38 or l?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53 - 19. Let t = 482 - 479. Suppose 2*i = -2*x + 6, i - t*i = -3*x + u. What is x rounded to 0 decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 13*c + 759. What is g(-51)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - 0. Let t be c\/2*(-7 - 1). Suppose -4*u = 5*l - t, 0 = -4*u + 5*l - 1 - 3. Solve -f = 1 + u for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 277992 to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + 0 + sqrt(300) - -2*sqrt(1728)) + 2*sqrt(48)*6)**2.\nAnswer: 40368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*d + 3*d + 6*d + 3*d**2 + 3*d.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 5 + -4 + 1 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10, -2\/5, -108\/13, -0.2, -9, 3?\nAnswer: -108\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 10*a**3 - 4. Let l(z) be the first derivative of 9*z**4\/4 - 5*z + 254. Give -4*l(s) + 5*u(s).\nAnswer: 14*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - 0. Let q = z + 5.2. Let f = 5.8 + -6.1. Which is the second smallest value? (a) q (b) -2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rg when two letters picked without replacement from gsrgrgsrggsgr.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**2 + 2*m**2 - 2*m**2 - m**2 - m**2 + m**2 + (6*m - 2*m - 2*m)*(4*m - 3*m + 0*m) + 3 - 5*m**2 - 3.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrirrrriirirrirr. Give prob of sequence iirr.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 15 = -2*z. Let r(l) = -l**3 - 4*l**2 + 3*l - 6. Determine r(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -20. Is (-25)\/r*(-1 + 5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2a (base 13) to base 5\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.07935 + 0.07935. Which is smaller: s or -125?\nAnswer: -125","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.52649693 to two decimal places.\nAnswer: -0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 6362 = -7*p. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g. Let x(t) = t**2 - 104031*t - 3. What is q(x(m))?\nAnswer: 3*m**2 - 312093*m - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112228586?\nAnswer: 2, 56114293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1167250?\nAnswer: 2, 5, 7, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 632.1308009 rounded to the nearest integer?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(21\/(-18))*(-2)\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ce when two letters picked without replacement from lvlocolvvoroveo.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*z**2 - 10*z**2 - 7*z**2 + (-3 + 5 - 1)*(0*z**2 - 2*z**2 + z**2) - 3*z**2 + 2*z**2 + 3*z**2 + 0*z**2 - z**2 - z**2.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*k + 89*k - 5044502 = -50*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3 - 162*y**2 - 3180*y - 12600.\nAnswer: 3*(y - 70)*(y + 6)*(y + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*c - 128. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 175569 + -2284923\/13. Which is smaller: y or -194?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67330.\nAnswer: 2, 5, 6733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 17, m: 3}. What is prob of picking 4 e?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -12 in ascending order.\nAnswer: -12, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 12*y**2 + y + 10. Calculate h(12).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 3855 = -2*u - 3789, -39 = 7*u - 5*b for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**3 - 12*f**2 - 10*f + 3. Let k be m(-5). Let z(v) = 7*v**2 + 3*v + 5. Let b(y) = 6*y**2 + 3*y + 4. Determine k*z(l) - 4*b(l).\nAnswer: -3*l**2 - 3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 13*p + 10. Let b(r) = r**2 + r. Let l(v) = -2*b(v) - w(v). Let h be l(10). Solve -2*y + 4 = -h*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**3\/5 - 1182*s**2\/5 + 633644*s\/5 - 12800832 = 0. What is s?\nAnswer: -957, 176, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) + 2*sqrt(120) - sqrt(30))\/(1*sqrt(30)\/sqrt(5)))**2*-6*-2.\nAnswer: 960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 + -35. Let t = -11 + 8. Let g = t + r. Solve n = -k, -5*k + g*n = 3*n for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 9:09 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (27*p**4 - 17*p**4 - 20*p**4)*(2 - 3 + 0) in the form a*p**4 + n + w*p + j*p**3 + f*p**2 and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 420 and 1860882?\nAnswer: 130261740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(26) - sqrt(26)*-2))\/(-6*sqrt(2)*-2).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - ((-2 - -6) + -9) - 2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-3))\/(4\/(-36)). Calculate the remainder when q\/6 + (-91)\/(-2) is divided by ((-16)\/24)\/((-4)\/90).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2395 + 44.177\nAnswer: -2350.823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20022 (base 4) to base 10.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 564 and 6?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-27)*9*54\/(108\/12)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1167 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**2. Let n(q) be the second derivative of 40 + 5*q + 5*q**3 - 40. What is c(n(a))?\nAnswer: -1800*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d = -80 + 32. Suppose -3*y - 1 = 2, d*y + 12 = -2*m. Let f be m + (3 - 3*1\/(-3)). Solve 5*b - 26 = -p - 2*p, f = -4*p - 4*b + 24 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 5*d - 4. Find the third derivative of d*i - 3*i**3 - 3*i**2 - 4*i wrt i.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172*i - 35*i**5 + 120 - 580*i + 116*i + 260*i**4 + 210*i**3 - 125*i**2 + 117*i - 255*i**2 = 0. Calculate i.\nAnswer: -1, 3\/7, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 12) to base 9\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(343)*3*-4)**2 - (sqrt(63)\/(1*sqrt(54)\/sqrt(6)) + -1).\nAnswer: -673*sqrt(7) + 49409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4114 = 60934*m - 60813*m for m.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/2736 and 29\/9769648?\nAnswer: 87926832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 22*i + 98. Let b be n(-5). List the prime factors of ((-332)\/b)\/(3\/63).\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 3*d + 10 + 3 = 2, -17 = 1004*j - 1006*j - 25*d for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 308384491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 81 = -5*g, -6*f + 65 = -f - g. Suppose c + 30 = 2*z, f = 3*z + 2*c - 31. Calculate the remainder when z is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bs when two letters picked without replacement from bbbbbbbbbbbbsbbbb?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2962374 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-6))\/(90\/324)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**2 + 46*v. Let f(i) = 3*i**2. Calculate r(f(j)).\nAnswer: -18*j**4 + 138*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 41*h**2 + 6*h + 10. Let z(u) = 21*u**2 + 3*u + 5. What is 4*d(a) - 7*z(a)?\nAnswer: 17*a**2 + 3*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 47\/2 + (-1)\/2. Let w = p - 21. Suppose 2*v = 5*o - 109, o - w*v - 25 = -0*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 175 = 5*j, 0 = 4*b + 2*j - 4*j - 744. Does 37 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/3 - 42\/9. Let n = 0.034 + -153.034. Let b = 152.6 + n. What is the fourth biggest value in -2\/3, -2\/41, b, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -91 - -635\/7. Let t = 0.12 + -1.72. Let y = t - -1.6. Is y < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26214 divided by -6?\nAnswer: 4369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 18, -18, -7, 0 in descending order.\nAnswer: 18, 0, -3, -7, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.55? (a) -3\/5 (b) -0.4 (c) 5 (d) -26 (e) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -60079, -4, 4 in decreasing order.\nAnswer: 4, 3, -4, -5, -60079","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126 and 860643?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 935 divide 44542436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + v**3 - 3447*v**2 - 25.\nAnswer: v**3 - 3447*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198 is divided by 47?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -y**5\/30 + 3*y**2. Let p(s) = -4*s**2. Calculate p(v(o)).\nAnswer: -16*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 10:25 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.29 - 1.652.\nAnswer: -1.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -52228, -208869, -469946, -835465, -1305432, -1879853, -2558734?\n\"Answer: -n**3 - 52212*n**2 + 2*n - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 69552089 to the power of 1\/2, to the nearest integer?\nAnswer: 8340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.3, 0.5, -1 in decreasing order.\nAnswer: 0.5, 0.3, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3261 + 5084. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 6:33 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1514 + 490b?\nAnswer: 33b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 10:50 AM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4112714 and 5.\nAnswer: -4112709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 7:19 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1452, -11572, -39044, -92544, -180748, -312332?\n\"Answer: -1446*v**3 + 2*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 122678882 to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 + 2918. What are the prime factors of p?\nAnswer: 2, 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -14583, 11 in descending order.\nAnswer: 11, 4, -14583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17219 + -19413. Is n at least -2192?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 14*a**2 + 3*a - 24. Let h be c(14). Let x**2 + 82 - 74 + 73 + h*x = 0. Calculate x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254988 is divided by 87?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 73 = 5*p + 7, -5*v = -5*p + 70. Let i = 36 - p. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2363.7516 hours to weeks.\nAnswer: 14.06995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4516, -9083, -13650, -18217?\n\"Answer: -4567*s + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z + 12*z - 1 + 2*z)*(2 - 2 - 2) to k + c*z and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*i - 5*v - 125, -70 = -2*i - 3*v. Let a = -30 + i. Let m(k) = -k + 1. What is m(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -5*l**3 - 3*l**2 - 4*l - 3. Let f be o(-2). Solve -2*k = -f + 31 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -226 divided by 6?\nAnswer: -113\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16811 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 958?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61969 = 32*f + 23*f - 402451. Is f a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -2*w - 118, 2*w = d + d - 58. Suppose 4*c + f + d = 539, -4*c = -2*f - 506. Calculate the remainder when c is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1252605 minus -0.32?\nAnswer: -1252604.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.12 - 1.88. Let t = 2.2 + r. Put 3, -4, t in ascending order.\nAnswer: -4, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -629 - 0.23.\nAnswer: -629.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(-44)\/g*g*g))**(-32\/5) assuming g is positive.\nAnswer: g**(-1376\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 40, 0.8, -5, -0.4, -3, -0.27?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 2*k**4 - 40*k**3 + 74*k**2 - 36*k = 0.\nAnswer: 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**5 - 31977*c**4 + 8*c**3 - 456973*c**2?\nAnswer: -60*c**2 - 767448*c + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1957246 and 0.100025?\nAnswer: 1957245.899975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 4 - 7 + 26*w.\nAnswer: 26*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 9:51 AM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 828\/43 - 118577\/6321. Find the common denominator of -115\/6 and x.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 + 12369*a + 147996.\nAnswer: 3*(a + 12)*(a + 4111)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 91 - -600. Suppose 20*q - u - 469 = 0. Calculate the greatest common factor of 87 and q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -88 and 595.289639.\nAnswer: 507.289639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvivockooookovvr. Give prob of sequence cc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 261.69 times -0.4\nAnswer: -104.676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2*-5*(-6)\/75\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*m + 630 = 0, 0 = -5*m + 4*m - 3. Let h = u + 226. Solve -13*w + h*w = -10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9597, 9596, 9595?\n\"Answer: -x + 9598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004770337 rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/60 and -107\/126.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/68 and -133\/509388.\nAnswer: 509388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -11*m**3 - 2*m**2 - 8*m - 5. Let q(z) = -5*z**3 - z**2 - 5*z - 3. Determine 3*k(r) - 5*q(r).\nAnswer: -8*r**3 - r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**4\/24 - l**3\/2 - 35*l**2\/2 - 3*l + 2. Let n(y) be the first derivative of b(y). Calculate n(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -1147*z**6\/30 - 207*z**2\/2 - 768*z. What is the derivative of l(c) wrt c?\nAnswer: -4588*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 147.44 and -0.5?\nAnswer: 147.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m**2. Let x(o) = -662*o**2 - 9*o. Let s(g) = -3310*g**2 - 48*g. Let i(l) = -3*s(l) + 16*x(l). What is b(i(f))?\nAnswer: -1314732*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 194 and 6.688.\nAnswer: 1297.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-15)*2520\/(-336)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 9*r + 7. Let z be d(7). Let n = z + 11. Suppose -n*j + 9*j = 75. Solve -h + j = 2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1313 (base 5) to base 12\nAnswer: -154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 6*s - 3. Let q be f(2). Solve x + 3*k - 19 = 0, q*x + k = 12 + 13 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23159 - 29 = 9*q. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 32041 + -5?\nAnswer: 32033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1518332?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + r - 2. Let w be a(0). Suppose -4*g - 16 = 4*h, h + 4 = -2*g + 1. Calculate the remainder when 3 is divided by g*w + 8 + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -163\/41?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10 and 190.\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*p = 35*p - 16. Sort -1, 43, p in decreasing order.\nAnswer: 43, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5485*l - 137121. Determine d(-25).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 493988?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cbpj when four letters picked without replacement from {j: 1, l: 5, p: 1, c: 5, b: 1, w: 1}?\nAnswer: 5\/24024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1629085?\nAnswer: 5, 167, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 514*k - 8669. Let l be b(24). What is the greatest common divisor of 19 and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28874422171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (4 - 2) - -2 - 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3*b**2 + 2)*(-b**2 - b**2 + 3*b**2).\nAnswer: 3*b**4 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -320 (base 9) to base 2.\nAnswer: -100000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus -5344564?\nAnswer: 5344565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3)\/((-190)\/456)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 26 + (-72)\/9 - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2040 divided by -6\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -424?\nAnswer: 5\/424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 1 + 7*r - 1 + 6 - 5. Suppose 2*s + o + 4 = -o, -20 = 4*o. Let m(l) = -l + 2. Let w be m(s). Determine x(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 349, 1020, 2091, 3676, 5889, 8844, 12655?\n\"Answer: 19*w**3 + 86*w**2 + 280*w - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8241.\nAnswer: 3, 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 82472 and 3797768?\nAnswer: 231663848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5*u + 65. Give h(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dqcedcddcbdbcdde. What is prob of picking 2 b and 2 c?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -20492632, -20492631, -20492630, -20492629, -20492628?\n\"Answer: z - 20492633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1977889, -1977972, -1978055?\nAnswer: -1978138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 84040 divided by 22\nAnswer: 3820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 49 = d + 2*d, -4*d = 3*c - 63. What is the smallest common multiple of d and 70?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (1 - (6 + -2)) + -13?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p - 1122 - 5*p**2 - p - 2715 + 349.\nAnswer: -5*p**2 + 2*p - 3488","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 13 = -3*x, -27*x + 1 = -32*x - 3*h for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + 4 + -3*sqrt(288) + -1 + sqrt(288).\nAnswer: -24*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1168683, -2337330, -3505977, -4674624?\n\"Answer: -1168647*m - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + -9 - (-11 - -7). Let p(d) = 11*d + 123. What is the units digit of p(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 2 - 2)*(4 - 2 - 3)*(3*c - 6*c + 0*c) - c**2 + c**2 - 2*c**2 + (0*c - 2*c - 3*c)*(41*c + 55*c + 57*c).\nAnswer: -764*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4*o - 44 + 79 - 43 - 6*o. Let u(p) = -1. Let i(r) = -c(r) + 4*u(r). Let n(m) = -m - 5. Calculate -3*i(z) - 2*n(z).\nAnswer: -4*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/395 in 4\/9, -3, -5, 5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28058 divided by -1085.\nAnswer: -28058\/1085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199802.\nAnswer: 2, 99901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rtrbr. What is prob of sequence rt?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 705 is divided by 73?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 83 - 73. Let r = -27 - i. Calculate the greatest common factor of r and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 45 (c) 0 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4*r + b - 3, 4*r - 3*b = -23. Let n be (78\/3)\/(r\/(-12)). Suppose 0 = -5*g + 159 + n. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*1*(5 + (sqrt(2057) + -3)*5 + -2 + -4)**2*-5.\nAnswer: -775215 + 26400*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1263516, -1263517, -1263518, -1263519, -1263520, -1263521?\nAnswer: -1263522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12*(2 - 3) - 0. List the prime factors of (v\/(-18))\/((-2)\/(-36)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1428276 and 615.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10621*x**2 + 0*x**4 - x + 5*x**4 - 2*x**4 - 10461*x**2 to u*x**2 + b*x + t*x**4 + r*x**3 + c and give u.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 24 = 4*b. Suppose 5*s + 3 = 23. Calculate the least common multiple of s and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of o**4\/4 + 5*o**3\/3 - o**2 - 6*o + 65. Let f be ((-2)\/(-1))\/(-1) + -3. Let y be m(f). Let j(t) = 3*t - 6. Give j(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2422, 9631, 21628, 38407, 59962, 86287, 117376, 153223?\n\"Answer: -d**3 + 2400*d**2 + 16*d + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -10*g**2 + 5*g - 2. Let a(s) = -s**2 + s - 1. Let b(u) = -5*a(u) + d(u). Differentiate b(n) wrt n.\nAnswer: -10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6423643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -4, 0.0374?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 1. Let r = -63 - -63. Suppose 8 = -2*u + 2. What is the third smallest value in u, y, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 + 3*f**3 - 15 + 15 - f**3.\nAnswer: 2*f**3 + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2 + (-3 + 4 - 3)*(3 + 3 - 4) - 2 + 1 - 1 + 1 + 1 - 4 + 3 - 2 - 3)*(2*m + 27 - 27).\nAnswer: -24*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1582483071 to the nearest integer?\nAnswer: 1165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -52 (base 8) to base 16\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.9 - 14.5. Let t = 19.4000435 + i. What is t rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c. Let n be 12\/(-18) + (-1)\/3. Let t be l(n). Calculate the highest common divisor of 8 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 39*f**3 + 4*f**2 + f + 1. Let x be j(4). Calculate the remainder when 81 is divided by x\/63 - (-4)\/14.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/106827796 and -95\/5576.\nAnswer: 213655592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3 - 12 = 0. Suppose -t*d + 4*d - a = -9, -d + 25 = 5*a. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r - 11. Let d(n) = 5*n + 10. Let m(s) = -3*d(s) - 4*j(s). What is the lowest common multiple of m(-6) and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 181434366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 765?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-4)*70\/(-21). Let g(t) be the second derivative of 2*t**3\/3 - 2*t. Let w be g(1). Solve w*z + z - n = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63859031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47 + -30. Let p = 28 - n. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (14 - 20 - (-4 - 8)) - 1?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21840 divided by 1365?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2105, -2107, -2109, -2111, -2113?\nAnswer: -2115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.605 and 159.\nAnswer: 159.605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9357292 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (356 - 739 - 350 - 940)*(9 + 5*v**4 - 9) to the form b*v**4 + u*v + x*v**3 + k + w*v**2 and give b.\nAnswer: -8365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4\/3, -0.4, -1, 7\/57 in ascending order.\nAnswer: -4\/3, -1, -0.4, 7\/57, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/((-3 - -2) + -1). Suppose u + 3*j - 507 = 0, l*j - 2*j + 502 = u. Let s be u\/20 - (-4)\/10. Solve 8*p + s = 3*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 506, 1079, 1652, 2225?\n\"Answer: 573*b - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s - 6. Let a(w) = 3*w - 27. Let c(q) = 2*a(q) - 9*d(q). Let y(z) = 63*z. Determine y(c(r)).\nAnswer: -189*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 602, 555, 426, 173, -246?\n\"Answer: -7*n**3 + n**2 - n + 609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11215565*g**4 - 1714*g**2 - 27298.\nAnswer: -269173560*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2\/3, -0.03 in decreasing order.\nAnswer: 2, 2\/3, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a + 5. Let w be g(0). Let x(p) = -4*p - 2*p + 2*p**2 - 3*p**2 + 5*p. Let f be x(-2). Sort f, -1, w in ascending order.\nAnswer: f, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -8*p + 14*p. Suppose w - 216 + 213 = p. Calculate the highest common divisor of 14 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3486 by 14.\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1486, 3669, 6556, 10141, 14418, 19381, 25024?\n\"Answer: -r**3 + 358*r**2 + 1116*r + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**2 - 122*j**2 - 34*j**2 - 46*j**2 + 4*j**3 to the form s*j + d + i*j**2 + k*j**3 and give i.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -30*u**2 - 483*u - 37. Calculate a(-16).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -84*u**3 + 9324*u**2 - 6*u + 749. What is i(111)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 3*i + 4. Let d = 0 + -2. Let v = d + 2.1. What is the closest to 0 in v, 3\/5, i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1350, -1943, -2534, -3123, -3710, -4295?\n\"Answer: h**2 - 596*h - 755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(10\/(-56)*((-11067)\/(-2550))\/(-31))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*j - 20 = -174. Solve -j = -6*u + 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 204 divided by -51.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**2 + 23*d**2 + 17514*d + 8318*d + 5744*d.\nAnswer: 20*d**2 + 31576*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 13, m: 2, x: 1, j: 1}. What is prob of picking 3 m and 1 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-155)\/(-44) + (-5)\/20. Which is smaller: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t + 3*t - 5*t - 8*t - 5*t + t + (4 - 3 - 3)*(-16 - t - 11 - 13) + 5*t - 2*t - 5*t.\nAnswer: -10*t + 80","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 420 - -1278. Is 27 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2 = -4. Let o be -8*(9\/a + -2). What is s in o*s**5 + 0*s**2 - 2*s**2 - 3*s**3 - s**3 + 2*s**4 = 0?\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j - 4. Let r(w) = w**3 - 6*w**2 - w. Let x be r(6). Give c(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 3*y = 2*y - 30, -4*k + 14 = -2*y for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + r - 1. Let b(s) = -2*s**2 - 4*s + 13. Let l(n) = -b(n) - 3*t(n). Suppose 10 = -2*k, 2*k + 20 = 5*v - 2*k. Determine l(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 588*f**2*m + f**2 + 1002*f*m - 16748500*f + 7*m wrt m?\nAnswer: 588*f**2 + 1002*f + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 + -50 + 97 + 30?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 354 = 2*y, -2*y - 12*z + 11*z + 369 = 0. What is the highest common divisor of y and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12553781 and 7628?\nAnswer: 50215124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/11*(-160)\/60*36\/(-32).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2210501 <= 2210501?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -111027 or -555139\/5?\nAnswer: -555139\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -3\/7 (c) -80\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -3, 8, 23?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6876 is divided by 21.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -13*j**5 + 21*j**4 + 4*j**5 + 0*j**3 - 15*j**3 + 3*j**2 = 0. Calculate j.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 4*a. Let m(o) = -o**3 + o + 16. What is the lowest common multiple of 22 and m(a)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 3\/19, 848 in ascending order.\nAnswer: 3\/19, 0.4, 848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 283 divide 339249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 6 = i + 5, 0 = 3*i - 5*q + 31. Let z = 11 + i. Suppose 0 = -2*x - z*v - 28, 0*x = -4*x + 2*v - 6. Is x smaller than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-155)\/20 - 6\/(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -m - 3*m + 3*m + 2*m + 3 - 3 + (m - 2*m + 0*m)*(0 - 1 - 1) + 0*m - 2*m + 4*m - 48 - 64*m + 48 in the form d*m + f and give d.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((708\/1062)\/((-2)\/7))\/(53\/(-159))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence czfs when four letters picked without replacement from gsfpzfcsg.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 25 + 15*4017\/65. What is the greatest common factor of v and 184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 + 0 - 1)*(-3 + 3 + g) - 4*g + g + 0*g)*(-2*g + 0*g + 3*g) to the form t + u*g**2 + d*g and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**2 + 0*n**2 - 5*n**2.\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 412 + 1 - (-5)\/(-10)*-8. Let z = b + -3. What are the prime factors of z?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*y - 3*y + 7*y + (4*y + y - 3*y)*(0 - 2 + 4) + 3*y + 3*y - y)*(-3*y**2 + 3*y**2 - 2*y**2).\nAnswer: -42*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -224 - -452. Suppose 115 = z - h. Calculate the remainder when z\/(-7)*(-2 + 1) is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 37\/((-6216)\/12) - -43*2\/28. Suppose 4*o - d = 2, -6 = -o + 2*d - 2. Let x be 0\/(o + -1 + 2). Solve -4*s - g = x, -7*s + p*s = 3*g for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -136 - -95. Let i = 41 + q. Solve -4*p + i*r + 12 = 5*r, p - 3 = -r for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 23023?\nAnswer: 23018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/1*(37 - (-30)\/(-2)). Solve -1 = 21*f - k*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**3\/3 + 64*d**2 - 398*d\/3 - 196 = 0?\nAnswer: -98, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -30082*a*s*v**3 - s*v**3 + 172*s*v**2 + 11*v**3 wrt a.\nAnswer: -30082*s*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**4\/4 + f**3 - 3*f**2\/2 + 3*f - 8. Calculate the remainder when p(4) is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -1. Let a = -4.1 + 0.1. Let b = -869 - -2605\/3. What is the nearest to v in a, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5960578?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 16040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(3) - (sqrt(3) - (sqrt(3) + (sqrt(6)*1)\/sqrt(2))))*5*-2)**2.\nAnswer: 1196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*g - 30 = 33*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + 2*(-4 + (sqrt(405) - (-4 + sqrt(405))) - sqrt(405))*3))**2.\nAnswer: 131220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 1124, 36.\nAnswer: 16, 36, 1124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -196434 - -196434.0089979. Let s = w - 0.009. What is s rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*g - 77 + 64, 4*t + 33 = g. Let y = -3011 + 472729\/157. Which is greater: y or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of j**2 - 26*j - 27. Calculate the smallest common multiple of 4 and s(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1904 - 1862. Suppose u - 4*u + 12 = 0. Suppose 2*i = 6*i - u*k - 184, 4*k - 110 = -3*i. Calculate the greatest common divisor of i and j.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*v + 30 = -22. Solve -12*w = -11*w + v for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.69 - 99.29. Which is bigger: -1\/2 or q?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.152 + -0.252. Let g = 0.4 - 0. What is the smallest value in g, -3, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1073, 1077, 1085, 1097, 1113?\n\"Answer: 2*m**2 - 2*m + 1073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s + 182. What is d(-62)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, y: 1, c: 2, m: 1, d: 1, z: 1}. What is prob of sequence du?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of k**4 + 502*k. Let g(c) = 192*c**2 + 2. Calculate g(b(p)).\nAnswer: 27648*p**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a - 6*a + 5584570*a**3 + 5*a + 0*a - 5584559*a**3.\nAnswer: 11*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -879*q + 7246. Let c be p(6). What is the highest common factor of 28 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*c - 10. Suppose 2*w = c*t + 79, 6*w = 2*w - 2*t + 170. Calculate the greatest common divisor of 189 and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1569875 at least -1569875?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 30186397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, 167, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, i: 1, d: 4, b: 2, t: 1}. What is prob of sequence dbi?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of q**5\/10 - 997*q**4\/12 - 73*q**3\/2 + q**2 - q - 2015. What is the second derivative of l(v) wrt v?\nAnswer: 12*v - 1994","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*v + 4*v - 7752. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -15*n**2 - 3*n + 3. Let v(a) = a - 1. Let m(u) = -3*v(u) - x(u). Let j(p) = 7*p. Determine j(m(l)).\nAnswer: 105*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 61441682531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ds when two letters picked without replacement from slddgss.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 29 = l, -11 = -2*l - 1. Is -13 <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 33\/7 + 2\/7. Suppose -t*n = -376 - 29. What is the greatest common factor of 9 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.25 and -147.1.\nAnswer: -147.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 166 divided by -1114.\nAnswer: -83\/557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-2 + -2)*(-41)\/(11070\/(-60))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 115?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = m + y + 14, 5*m + 3*y + 2 = 0. Suppose -4*l + m*l = -12. Solve 2*f + l = -0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a3 (base 12) in base 16?\nAnswer: -10b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*sqrt(300))**2.\nAnswer: 43200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 275.5162g in nanograms?\nAnswer: 275516200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1199222 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13\/4 - -35\/12. Let h = -296 + 77. Let z = h - -214. Which is the third biggest value? (a) z (b) s (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -22*k**3 + 87*k**2 + 2*k + 24. Let h(w) = 10*w**3 - 41*w**2 - w - 11. What is 13*h(j) + 6*m(j)?\nAnswer: -2*j**3 - 11*j**2 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-309)\/9 - 1*(-4)\/12. Let n = i + 47. Calculate the smallest common multiple of 5 and n.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, x: 13}. Give prob of sequence aaxa.\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1199, 4573, 10187, 18035, 28111, 40409, 54923?\n\"Answer: -l**3 + 1126*l**2 + 3*l + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3144 and 108.\nAnswer: 28296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 4*o**7\/21 - 11*o**4\/12 + o. What is the third derivative of r(b) wrt b?\nAnswer: 480*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.07 + -1.07. Let o be (-2)\/4 + (-6)\/(-4). What is the closest to 1\/2 in 5, q, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27*((-21)\/9)\/(19\/19)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 9. Suppose -o*d + 0*d - 2 = 0. Which is the closest to d? (a) -0.3 (b) -1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from {t: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 24 = -0*b + b, -p + 5*b = -13. Let s be p + 10 - 1*3. Suppose -7 = -d - s. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 6*r**2 + 36*r + 200. Determine u(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5*a + 48145 = 0, -21*q + 20*q - 5*a + 9611 = 0. Is 22 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y = 7 + 23. Suppose -5*r + 1 = y*i, 5*i - 5 - 4 = -r. Let g(u) = -u + 4. Let d be g(-4). Put i, 1, d in descending order.\nAnswer: d, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -100, -224, -376, -556, -764?\n\"Answer: -14*v**2 - 82*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2769.\nAnswer: 3, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46062 is divided by 245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/2 + 10*v + 21\/2.\nAnswer: -(v - 21)*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - t + 1. Let r(q) = -6*q + q**3 + 2*q**2 + 4*q**2 - 4*q**3 + 6. Calculate 6*o(k) - r(k).\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*v + 38, 0*m + 3*v + 32 = m. Let g = -51683 - -51842. What is the remainder when g is divided by m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30617772 and 12?\nAnswer: 30617772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -5883\/5 < -1177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -2*v + 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5 + 2 - 5*p - 1 + 0*p. Let b(j) = 11*j + 9. Give -2*b(y) - 5*u(y).\nAnswer: 3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/1372 and ((-3)\/45276)\/(78\/(-312))?\nAnswer: 15092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 2 + 2. Let l = t + -2. Suppose 2*q - 5*m + 14 = 0, -5*q - 19 + 1 = -4*m. Is q greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bfkkbkkf. What is prob of sequence bk?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4019471 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (534\/(-1780))\/((4*3\/18)\/((-10)\/144)).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express y + 3*y - 6*y + (0 + 0 - 2)*(-4*y - 276*y + 33*y) in the form p*y + k and give p.\nAnswer: 492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -303 divided by -303.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 a when two letters picked without replacement from {v: 7, g: 3, a: 2}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120132 is divided by 976.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56\/55 + -9\/11. Let r = 1891 - 1895. Let x(n) = -n**3 + 4*n**2 - 2*n - 4. Let q be x(3). Which is the nearest to q? (a) -1\/4 (b) j (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -76091.11 to the nearest one hundred.\nAnswer: -76100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + (-4)\/6*-33. Let b be (-86)\/(-8) - (-23)\/92. Let n = b - q. Sort 0.3, 5, n in descending order.\nAnswer: 5, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from taaomaoamrmaat. Give prob of picking 2 o, 1 r, and 1 m.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 116 and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 814667 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 r, and 2 e when four letters picked without replacement from rerretrerteqgtgt.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 15*h**2 + 9*h + 131. Let n be s(16). Let x(d) be the first derivative of 0*d**2 + 12*d - n - 3*d**3 + 3\/4*d**4. Factor x(c).\nAnswer: 3*(c - 2)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3623809878?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4994c (base 15) in base 16?\nAnswer: 395dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 35. Suppose 30*j = f*j - 300. Round j to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - q = -5*l + 5, 0 = 2*l - 4*q - 26. Suppose l*k - 26 = k. Solve 0 = 5*u + m - 10 + 3, 5*u - k = m for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 v, 1 u, and 1 m when four letters picked without replacement from {m: 1, w: 4, u: 4, v: 1}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/3022 and -85\/12.\nAnswer: 18132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 52314578?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5676 = -137*b + 115*b. List the prime factors of b.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, 4\/3, 1, 1\/3 in descending order.\nAnswer: 4\/3, 1, 1\/3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 12276*o + 20 - 7 - 5 + 3124*o.\nAnswer: 15400*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -31 - 27 - 50*c - 64. What is the remainder when 110 is divided by a(-3)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -242.08 + 242. Let s = 531\/4 - 132. What is the nearest to h in 4, s, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-1*(sqrt(68)*2 - sqrt(68)) - sqrt(68)))**2.\nAnswer: -24*sqrt(17) + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1833, 3650, 5467?\nAnswer: 7284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**2 + v - 18. Let x = 42 + -42. Let r be m(x). Let t be (6\/r)\/((-4)\/3). Which is the second biggest value? (a) -2 (b) t (c) -0.8 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(((h\/(h**5*h))\/h)\/h)*h)\/(h*h*h**(-4\/7)))\/((((h**(3\/4)*h)\/h)\/h)\/((h*h**(-3))\/h)) assuming h is positive.\nAnswer: h**(135\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 5. Suppose -t*j - 39 = -6*j. Let b = j + -9. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -3*t + a, 4*t = -0*t + a + 127. Suppose -n + 13 = b, -b = -n + 6*n - t. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -15. Suppose -2*c - 20 = -p*c. Solve 0*b - 12 = -c*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0484 less than -976430101?\nAnswer: -976430101.0484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3*c - 457 = -5*d, d + 4*c = 73. Calculate the remainder when 204 is divided by d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-132)\/33)\/((-1524)\/3))?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzhu when four letters picked without replacement from uhjhhwuuzzhhwuh?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3 + 8*k**2.\nAnswer: -4*k**2*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*q - 225 = 209*q + 20*f, -5*f = -33*q + 26*q + 25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.161 + 151.839. Let a = 154.522939 - 2.520419. Let p = f - a. What is p rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 29747 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**3 - 3*n**2 - 3. Let r(m) = 4*m**3 + 6*m**2 + 8*m + 2. Let p(d) = -5*d**3 - 7*d**2 - 12*d - 1. Let t(i) = 2*p(i) + 3*r(i). Give 3*t(f) + 4*u(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/11)\/((s\/(s*s**(-11)*s*s*s*s)*s)\/s)*s\/(s*(s*s\/(s\/(s*s*(s*s*s**0)\/s)*s))\/s*s)*s**(-16) assuming s is positive.\nAnswer: s**(-287\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 319*g**2 - 1232*g - 35. Give m(4).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1406320 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i*o**3 + 120*i*o**2 - 2*i*o - 6*o**5 - o**4 + 1 wrt o?\nAnswer: 12*i - 360*o**2 - 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29 and 10957099.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6888 and 19360815?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 43*a**3 - 2*a**2 - 86*a + 805. Is 50 a factor of m(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -5\/6, -0.26, -24?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, j: 1, d: 4, c: 2}. Give prob of sequence dd.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(147)*2*5 - (-1 + sqrt(147) + 2)) + 4 + 3)**2.\nAnswer: 756*sqrt(3) + 11943","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 66\/(-88)*2\/3. Let o(t) = t**3 - 2*t**2 - 2*t + 2. Let n be o(2). Let k be 2\/8*n\/4. Which is the third smallest value? (a) r (b) -4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -s**6\/10 - 21*s**3\/2 + 1815*s**2\/2 + 7*s + 2. Differentiate d(l) wrt l.\nAnswer: -12*l**3 - 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of 1525*l**6\/24 - l**2. Let d be c(2). What is d rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.09703 - -0.90297. What is the nearest to 0.1 in o, -0.3, 180\/17?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1045*k**3 - k**2 - 32.\nAnswer: -6270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llp when three letters picked without replacement from {g: 4, p: 1, a: 6, l: 4}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 20*p**5 - 3291825*p**4 + 135417241040*p**3 + 2810946612840*p**2 + 15580591644800*p + 10161416454000 = 0.\nAnswer: -10, -3\/4, 82306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of 13*k**6\/480 + 9*k**5\/40 - 19*k**4\/32 - 5*k**3\/12 + 1682*k**2. Factor f(v).\nAnswer: (v - 1)*(v + 5)*(13*v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9439 = 19*j - 28078. What is the greatest common divisor of 9 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2*s + s - 39 = 0, 12 = -3*s. Let u = 2 + l. Which is the closest to 0? (a) -0.4 (b) -4\/5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18382)\/(-1313))\/(14\/22)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105 + -63 + -24 - (0 - -7) - (52 - 1).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -100*5\nAnswer: -500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*h + 16 = -39*h + 2*u, -3*u = -h - 8. Solve 5*m - 4*p = -27, 2*m + h*p = 5*m + 21 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56 + 55 - 111 + j**2 to p*j**2 + i + c*j and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4*d + 40. Let q be p(-15). Let s = -25 - q. Let g = 2 + s. Put g, 2\/9, -3\/2, -0.1 in decreasing order.\nAnswer: 2\/9, -0.1, -3\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 15*v**2 - 15*v - 13. Calculate i(16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.4 (b) 5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15235 - 106643\/7. Find t such that -8\/7*t**2 + o + 6\/7*t**4 - 4\/7*t + 4\/7*t**3 = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2415866, -4831748, -7247628, -9663506?\nAnswer: -12079382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58.02 + -0.02. Let q = 57.905 - k. Let o = 0.205 - q. Which is smaller: -12\/7 or o?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121312 (base 4) to base 12.\nAnswer: -b5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = h - 28. Let s(p) = -p**3 - 5*p**2 + 7*p - 15. Let d be s(-7). Calculate the greatest common factor of h and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 166*k**3 + 20*k**2 - 8*k + 9. Is o(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1528.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -66*g**3*i - 58*g**3*z + g**2*i - 3*g**2*z + 3*g*i*z - 40*i + 5*z - 4 wrt g.\nAnswer: -396*g*i - 348*g*z + 2*i - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 39*g - 9. Let f be k(12). What is the units digit of -5 - -2 - (-7 - f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, n: 12}. What is prob of sequence gg?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 - (-6 - 12) - -15?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*h - 32*h - 237*h**3 - 3*h.\nAnswer: -237*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -4, -0.245434, -3, 3\/4 in increasing order.\nAnswer: -4, -3, -0.245434, 0, 3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120323120 (base 4) to base 15.\nAnswer: 203be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c*c*(c\/(c*(c*(c**(-8)*c*c)\/c)\/c))\/c*c))*c)\/(c*c\/c**(-2\/13)))**17 assuming c is positive.\nAnswer: c**(1734\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -28 + 67430?\nAnswer: 67404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 750*v**3 - 1500*v**3 + 759*v**3.\nAnswer: 9*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*x - 10681, 2*r = 20*x - 16*x - 21322. Does 48 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2144078 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/6*2\/(-2)*-3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -4. Suppose 0 = 5*v + d*y + 22 - 52, 5*y - 17 = 4*v. Which is smaller: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 932767.1 days in hours?\nAnswer: 22386410.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((144\/(-174))\/12)\/(-8))\/(3\/24).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 121101?\nAnswer: 121100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*v + 239*v + 3136 = 0 for v.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2587, 5185, 7781, 10375?\n\"Answer: -w**2 + 2601*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 6*b**2 - 266*b + 1053. Calculate k(4).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4258.858 times 2\nAnswer: -8517.716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 32, 1.3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 - 23 - (7 + -10 + -7 - 1).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + r = -2*r - 84, -12 = 4*r. Let w = b - 7. Let u be (-2)\/3 + (-26)\/(-3). What is the highest common divisor of w and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1161, -1128, -1073, -996, -897, -776, -633?\nAnswer: -468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15365 + -1503?\nAnswer: 13562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u**3 + 10*u**2 - 2*u - 5. Let h be k(4). Find the third derivative of -h*o**5 - 29 + 9*o**3 - 2*o**2 + 3*o**2 + 404*o**5 wrt o.\nAnswer: 60*o**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24412 and 15437.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -9. Let d = 2.1 + -2. Which is the nearest to u? (a) 2 (b) d (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 2*g**7\/7 - 2*g**4 - 4*g**3\/3 + 6*g**2 + 59. What is the third derivative of h(r) wrt r?\nAnswer: 240*r**3 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -5*t + 50, 2*z = -t + 37 - 3. Solve y = -3*y - d - 20, -3*y - z = -3*d for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-281824)\/(-24)*210\/40 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005002812088 to six dps.\nAnswer: 0.005003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 198389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*r**2 - 7*r**3 - 29*r - 13*r**2 + 3*r**3 + 8*r**2 to the form k*r**2 + h*r + j*r**3 + u and give h.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -11. Calculate the least common multiple of -8 - 78\/(-9) - 426\/(-9) and l.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 112.53179 to 0 dps.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/17 (b) -1 (c) 1\/5 (d) 4 (e) -556 (f) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 6*b**3 - b**2 - b + 1. Let r be i(1). Find the third derivative of 4*a**5 - 14*a**2 + 7*a**2 + 11*a**2 - 8*a**r wrt a.\nAnswer: -240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - k + 5 + 89 = 0, 0 = -3*x + 2*k - 55. Let w be (-22)\/(-5) + 2*3\/10. What is the smallest value in 1\/11, -5, x, w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xpqopxqpoloqlqqqpqlp. Give prob of picking 3 p.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/840*-173 - (252\/(-49) + 4).\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 27*i + 1. Let v(x) = -53*x - 3. Give 7*u(m) + 3*v(m).\nAnswer: 30*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 113239.51257 + -113239. Round p to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -359, 5, 1, 4\/3, -1.1 in descending order.\nAnswer: 5, 4\/3, 1, -1.1, -18, -359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 584536317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 3*s - 1 = 10, 0 = 3*w - s - 8 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46118997 * 0.4.\nAnswer: -18447598.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**0)**46)**(-2\/29) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(1\/26)*u**14\/u)**(4\/9) assuming u is positive.\nAnswer: u**(730\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -37371 smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 15.36?\nAnswer: 4.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*1\/(-56)*4*(-35)\/(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 + -13. Let y be t\/21 + 150\/14. Calculate the greatest common factor of y and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 378*f - 303 = 377*f. Let n = 838 + f. List the prime factors of n.\nAnswer: 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 1 + 3*q - 3)*(23990 - 47161 + 23973 + (-2 + 5 - 2)*(0 + 3 - 2)).\nAnswer: 803*q - 1606","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 o when two letters picked without replacement from kocrokoto?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*i - 29 = 5*l + 23*i, 6*l - 2*i = -22 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6088*z + 42 = -6085*z. Calculate the highest common divisor of z and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -0.06, -0.016, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*t**2 - 50*t**2 - 33*t**2 + 22*t**2.\nAnswer: -84*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 8:24 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 30\/(-255) - (-1024)\/34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - s - 1)*((1 - 4 + 1)*(-4 - 13 + 5) + 1 - 3 + 0)*((-2 - 3 + 0)*(-1 + 5 + 0) + (-5 + 6 - 2)*(-2 + 0 + 1) - 4 - 2 + 3)*(-4 + 4 + 1).\nAnswer: 484*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**2 + 44855*v + 69025450 = 0. What is v?\nAnswer: -1339, 10310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 2*w = 176. Let p = w + -30. What is the remainder when p is divided by ((-10)\/(-8))\/((-1)\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/66 and 61\/316?\nAnswer: 10428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 735373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.1 - 2.152. What is t rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 96. Let r(m) = -m - 100. Let b(s) = 4*r(s) + 5*t(s). Let z be b(7). What is the greatest common divisor of 130 and z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 2*f + 2. Let t be c(-2). Suppose -2*r - r + t*a = 8, 2*r - 12 = -3*a. Determine w, given that r - 3\/7*w**2 + 0*w + 1\/7*w**3 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -4*w + 101, w + 19*f = 18*f + 14. What is the highest common factor of 513 and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 210 and 1470?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 445197043 to the power of 1\/2, to the nearest integer?\nAnswer: 21100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, -43, -2\/5, -1 in descending order.\nAnswer: 4\/5, -2\/5, -1, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + b = -3*q - 45, 0 = 3*b + q - 25. Suppose -b = -5*c, 3*k - 7*c + 3*c = 43. Let o = 65 + k. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 169 and 143?\nAnswer: 1859","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 67, 267, 601, 1069, 1671?\n\"Answer: 67*z**2 - z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**2 - 4*z + 4 + 0*z + z**2. Suppose -5 = -2*g - 11*r + 16*r, 0 = 2*r + 6. What is i(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -15.07. Let t = 0.06 - 2.06. Let w = t - -2. Is n smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1103274 divided by -1103274\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 22 = -4*q, -5*n - 2*q + 0*q = q + 28 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63843511?\nAnswer: 1609, 39679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9729360169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 12 = 7*n. Suppose n*t - 11*t + 917 = 0. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 8*s**2 + 22*s + 208. Let t be k(-6). Sort t, 121, -10 in decreasing order.\nAnswer: 121, t, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21*(-37)\/(1665\/(-30))*-2?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.3, -8, 37.98, 1\/4, 4\/7 in decreasing order.\nAnswer: 37.98, 2, 4\/7, 0.3, 1\/4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -4\/5 (c) 20 (d) 1 (e) 25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 21, 1, 4\/57, 2, 1\/4 in ascending order.\nAnswer: 4\/57, 2\/9, 1\/4, 1, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4926*a - 89*a**5 - 4949*a + 9762*a + 2 - a**5 - 2 + (0 + 0 + 2*a)*(2*a**4 + a**2 - a**2) + 4*a**5 - 2*a**5 - a**5.\nAnswer: -85*a**5 - 113*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ikkiivxi. What is prob of sequence vxk?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1107514027.\nAnswer: 11093, 99839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from txhxhxxxxxqhv. Give prob of sequence hhv.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*2*sqrt(242))\/sqrt(11))\/((sqrt(54)\/sqrt(3))\/sqrt(9) + sqrt(14)\/(sqrt(7) - sqrt(63))).\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/72 and -25\/2386704?\nAnswer: 7160112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-21))\/(6*(-1)\/21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14332 or -14277?\nAnswer: -14332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 27 - 54?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5110\/105)\/73)\/((-1)\/(-24)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 6:57 PM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1233 (base 6) to base 5.\nAnswer: 2214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10101 (base 2) to base 3\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13b8ce (base 15) to base 12.\nAnswer: -399b95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -761*f + 757*f + 184. Suppose 3*j - 102 = 4*a, 4*j = -a + f + 71. What is the greatest common divisor of 12 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -139785557, -279571112, -419356665, -559142216, -698927765, -838713312, -978498857?\n\"Answer: p**2 - 139785558*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 111462657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31633978 is divided by 763?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 815 + -578. Suppose 4*i = 7*i + 2*n - q, -3*i = 5*n - 237. Let x = i + -78. Solve x + 5 = 3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 220, 216, 212, 208, 204?\nAnswer: 200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -75 + 11. What is the greatest common factor of 32 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -266637130?\nAnswer: -266637134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -164*-0.1.\nAnswer: 16.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 3*h + 4. Find the second derivative of 4*c - 21*c - 89*c**2 + 1 + 42*c**h wrt c.\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**4\/7 - 422*x**3\/7 - 14612*x**2\/7 - 3936*x = 0. Calculate x.\nAnswer: -168, -41, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13871.68 - 11478. Let r = l + -2713.9. Let p = r + 317. What is p rounded to 1 decimal place?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11326 + 49966 = 1069*c - 103*c for c.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*j + 6*n + 17 = 199*j + n + 5, -3*j = -3*n for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2 - 3*o + 1. Let c be q(2). Suppose 0 = s + c*b + 10, 2*b + 28 = 2*s + 8. Sort s, -4, 0.\nAnswer: -4, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(242)*3 + sqrt(2) + -1.\nAnswer: 1 + 34*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 17*2198\nAnswer: 37366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - q + 1. Let g(y) = -3*y**2 - 2*y + 2. Give 6*g(k) - 13*i(k).\nAnswer: -5*k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5908 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 239, 234, 231, 230?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n + 3. Suppose -4*h = -2*a + 18, -5*h = -a + 19 + 11. Let j be w(h). Let q = j + -4. Let d(o) = o**3 - 5*o**2 - 6*o - 6. Give d(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -15*m + 1 + 3*m**3 + 4 - 5*m**2 + 5 - 2*m**3 - 2. Let f be y(7). Solve 2*s - 3 - f = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11847 + 11842. Which is the third biggest value? (a) u (b) -0.2 (c) -4\/17 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 19689322, 19689326, 19689332, 19689340, 19689350, 19689362?\n\"Answer: u**2 + u + 19689320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kwkwwwww. Give prob of picking 2 w.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.018 * 0.4\nAnswer: -0.0072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 129\/5 or 2\/54873?\nAnswer: 129\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -232562?\nAnswer: 232561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2407 - -154?\nAnswer: -2253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 4*s**2 - 2*s + 12. Let c be u(4). Suppose 5*k = -c*x + 4, -3*x - 13 = -k + 3. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1*p**1)\/(p**6\/p**(-2\/7)) assuming p is positive.\nAnswer: p**(-30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 - 4 = -3*p - c - 0*c, -67*c - 6 = -6*p - 63*c for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 339*w - 86. Let i be (4\/10)\/((-7)\/(-70)). List the prime factors of r(i).\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 160799560193973.\nAnswer: -160799560193978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 8 + -31 + 46.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8\/22*(-45 + 22 - -21)\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -5*p + 3614. Let t(j) = -6*j + 3615. Let a(b) = 5*c(b) - 4*t(b). Let w be a(0). Let y = w - 2380. Round y to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8233821.\nAnswer: 3, 19, 179, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 6. Suppose u - 1 = b, w - 5*u = -2*u + 24. Let i be -1*8*w\/(-12). Calculate the highest common factor of i and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - l - 585 = 0, -4*w - 5*l + 239 = -229. Let q be 1800\/4095 + -3*6\/w. What is the nearest to -1 in 1\/2, -0.4, q, -0.03?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709cb9 (base 14) in base 11?\nAnswer: 215aa74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(81)*1)\/sqrt(3))**2 + 3 + 3.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -51444 (c) -5 (d) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 14*a**2 - 6*a - 65. What is the tens digit of d(15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1758807.\nAnswer: 3, 65141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4883224 and 2270.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 97, 211, 369?\nAnswer: 571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3c3 + 1?\nAnswer: -3c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - 3*c**2 - 2*c. Determine x(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2713 is divided by 40?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqpqqqupqpquuqq. What is prob of sequence ppu?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16 + 35bb?\nAnswer: 35a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 104 in -4\/9, -7\/3, -1\/2?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -1 (c) 10 (d) -2 (e) -2\/13 (f) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/153892365 and -109\/60.\nAnswer: 615569460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 4:23 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2049 - 2050. Sort 3, -6, -3.2, y in descending order.\nAnswer: 3, y, -3.2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -17, -16, -17, -20, -25?\n\"Answer: -h**2 + 4*h - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 57, 73, 89, 105, 121?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26280 = 888*d - 81117 - 34851 for d.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**3 + 4*t - 4*t + (t**2 + 4*t**2 - 3*t**2)*(10*t + 56 - 56) - 4*t**3 - t**3 + 3*t**3.\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2b (base 14) to base 5\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/15 (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6285107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (15 + (-17 - 10))*2\/(-12). Solve d + 0*n = -3*n + 5, -2*n = v*d - 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/3 + 136*o\/3 + 137\/3.\nAnswer: -(o - 137)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1343422 to the nearest integer?\nAnswer: 1159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 6*t = -10. Suppose 0 = 2*y + 3*w - 14, -21 = -3*y - 2*w + 3*w. Suppose 0 = -5*n + 4*n + 4. Solve r - y = -t*h + 3*h, h - 21 = -n*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + q + 1417 = 0, -4*t + q = -3*q - 1876. Suppose 5*l - 1126 = t. Suppose 2*o + l = 6*o. Is 19 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-15)*w*w**(2\/11))\/(w**(12\/7)*w**(2\/11)) assuming w is positive.\nAnswer: w**(-103\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -9*b**2 - 15*b - 10. Let p(q) = 5*q**2 + 7*q + 5. Let j(n) = -5*p(n) - 3*s(n). Is j(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3122240 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**4*i + 11*d**3*i**3 - 29*d**3*i - d**2 - 316*i**3 wrt d?\nAnswer: 24*d*i + 66*i**3 - 174*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 4*s + 24, 11*n - 164 + 82 = -5*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000250378559 to seven dps.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 9:04 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 10*c - 2727 + 2279 = 0 for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -11*n**3 + 37*n**2 - 224*n + 46. Determine f(5).\nAnswer: -1524","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 345 + -345. Solve u = 2*z - 6*z + 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/(-7))\/(-1))\/((-32)\/624*13).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -226112 divided by 2419\nAnswer: -226112\/2419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -6*w. Let i be d(-1). Let t(j) = 2118*j - 8. Let h be t(i). Round h to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 1000.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y**2 - 2*y**2 + 2*y**2)*(11931*y - 18596*y + 8940*y) in the form h*y + o*y**3 + r*y**2 + v and give o.\nAnswer: 4550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 368*q**2 + 231.\nAnswer: 736*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1240527*q**2 + 61852*q - 124.\nAnswer: 2481054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - 0.7. Let k = -0.3 - d. Let x be ((-7)\/14)\/((-27)\/6) + 0. Which is the nearest to 2\/5? (a) k (b) -1\/4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 670032 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81002 + 16194 + 16215 - f + 16199 + 16200 + 16194.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1656383.3 rounded to the nearest 1000?\nAnswer: -1656000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6752 and 5536?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12.343 - -11.42. Let d = l - -1.0128. Let w = 0.09 - d. What is w rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002671579323 rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 3*d - 2*f + 9, 3*f + 15 = -5*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37075.4182 + 14.8?\nAnswer: 37090.2182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -864061, -863249, -862437?\n\"Answer: 812*m - 864873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 5*a + 655, -143 - 511 = -5*u - 4*a. Let c = -128 + u. Suppose -c*w + 8 = 24. What is the third biggest value in -5\/3, -5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/((-2)\/9) - 6. Suppose -t + k*s + 467 = 0, 5*t - 2335 = 4*s - 8*s. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1326?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -427 - -430. Suppose -o - 7 = -y*s + 4, 20 = 5*o. Solve 312\/5*g + 807\/5*g**3 - 147\/5*g**s + 873\/5*g**2 + 36\/5 + 63\/5*g**4 = 0.\nAnswer: -1, -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/8289 and 55\/221961.\nAnswer: 1997649","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 4*d - 22. What is the remainder when (-726)\/(-18) - 2\/6 is divided by d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1261664 and 886.\nAnswer: 886","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 293664191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 8*z - 2. Suppose 2*m + 2*m + 62 = -5*l, -26 = 2*l + 2*m. What is the tens digit of b(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20355774?\nAnswer: 2, 3, 349, 9721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4*(sqrt(72) + (sqrt(72) - (sqrt(72)*-2 - sqrt(72)))*-4 - sqrt(72) - sqrt(72)) - (sqrt(72) - (1 + 0 + sqrt(72)) - sqrt(72))*1)*1)**2.\nAnswer: 7452*sqrt(2) + 3085137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i**2 - 2 + 2)*(-4 + 1 + 4) + 0*i**2 - 2*i**2 + i + 12*i**2 in the form o + m*i**2 + r*i and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.285 + 5.285. Which is the closest to -0.1? (a) 2\/3 (b) -3\/4 (c) r (d) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 17*j**2 + 13*j - 5. Give g(4).\nAnswer: 319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 1:53 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 122012494 to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 21. Suppose 3*o - g = 7, -19 = -3*o + g - x*g. Suppose i + o*i = 524. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1448 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {f: 4, u: 5, h: 4, d: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*x = -2*r + 3037, -3*r = 2*x - 4545. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {u: 7, e: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -633 - 3362657*z - 2*z**3 + 633 + 3362657*z.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -6*a**2 + 11*a - 9. Suppose -4 = 10*d + 36. Let m(f) = -2*f**2 + 4*f - 3. Determine d*b(i) + 11*m(i).\nAnswer: 2*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6491, -6492, -6493, -6494, -6495?\nAnswer: -6496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*g - 23. Suppose 0 = a - 4*d + 2, -a - 34 = -g*a - 5*d. Calculate the smallest common multiple of a and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**4\/(i\/i**12) assuming i is positive.\nAnswer: i**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p + 11*p + p**2 - 4 - 31 + 5 = 0.\nAnswer: -15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -836, -1670, -2502, -3332, -4160, -4986?\nAnswer: -5810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 470 - 311. Suppose b + 0*b = x. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -9 - 15. Let v = 45 - 22. Solve 5*g + v = -3*w, -3*w - p*g = -2*g + 19 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -375, 0.\nAnswer: -375, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 - 4*j**2 - j**2.\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 16*h + 68. Suppose -19 = -4*v + 3*j, -12 = -2*v - j + 5*j. What is the remainder when q(v) is divided by 68?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.99408 weeks to milliseconds.\nAnswer: 53218819584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -790 - -1341. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4815410 divided by 151\nAnswer: 4815410\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2165 - 2010. Calculate the remainder when x is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1215887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 783505*c**3 - 783*c**2 + 369*c - 2?\nAnswer: 4701030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 565873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from {f: 2, n: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -49 in 2.2, 0.17, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38479, 38397, 38259, 38065, 37815?\nAnswer: 37509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-1)*(-10)\/20?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79463277 to the nearest integer?\nAnswer: 8914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m. Let v(s) = -493*s**2 + 14013. Give f(v(x)).\nAnswer: 493*x**2 - 14013","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 z, 1 x, and 1 u when four letters picked without replacement from ddxdzxuzxxs?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4346 divided by -170.\nAnswer: -2173\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 6.\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17026.\nAnswer: 2, 8513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -u + 303971, u - 124*l - 304003 = -127*l. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m + 12. Let r(v) = 12*v + 115. Let s be r(-10). Determine u(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*g - 121 + 643, 2*y + 348 = 2*g. What is the tens digit of 5*5\/(25\/g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4178a (base 15) to base 11.\nAnswer: 131a5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1970670*f**6 + f**4 + 2*f**2 + 2*f + 874200 wrt f?\nAnswer: 236480400*f**3 + 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -71 + 74. Which is the biggest value? (a) 4 (b) t (c) -3\/2 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109.831t in kilograms?\nAnswer: 109831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 473, 509, 545?\nAnswer: 581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n + 11. Let d be a(-5). Let g(s) = -4*s + 30. Let w be g(d). What is the third derivative of -13*i**2 - 338 + 338 + 13*i**w - 2*i**6 wrt i?\nAnswer: 1320*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -145\/16176 - 4\/337. Find the common denominator of 20\/21 + (-42)\/(-147) and l.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 413 - 318. What is the third derivative of m + 23*c**2 - 189*c**2 + 13*c**3 + 93 - 188 wrt c?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 25 + 7*(-19 - -17).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000017748 rounded to 7 dps?\nAnswer: -0.0000177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*m = 90*m - 14066. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9663121.8 to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 25577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194850 is divided by 123?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n. Let b be (-66)\/(-6)*5\/11. Let j(d) = 21*d. Give b*j(c) - 24*q(c).\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28381?\nAnswer: 101, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 + 30 + (11 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 2\/3 (c) -23633 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-46))\/((-3080)\/10120)*(-98)\/(-13)?\nAnswer: 84\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 56081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -i**5\/120 + i**4\/6 + 5*i**3 + 27. Let u(t) be the third derivative of y(t). Give u(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6459.626287 rounded to one decimal place?\nAnswer: -6459.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 23*-0.2\nAnswer: -4.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52.2 + 84.2. Which is the smallest value? (a) -0.1 (b) g (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-107 + 331 - 152 - 287)*(-27*c**2 - 14*c**2 - 3*c**2).\nAnswer: 9460*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234466?\nAnswer: 2, 59, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7821562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 2*c)*(c - 5*c + 2*c) + (-4*c - 2*c + 5*c)*(-3*c + 5*c + 10*c) to m*c**2 + s + a*c and give m.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2326874253?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 18*u**2 + 7*u - 3. Let j be b(18). Let o = j - -176. What is the highest common factor of o and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of f**4\/8 - 5*f**3\/6 - 2*f**2. Let p = 310 + -307. Let j be c(p). Solve 5*a + 7 = 2*v + 25, -4*v = -2*a + j for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddydxidsdxy. Give prob of picking 1 d, 1 s, and 1 y.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 97 = -101. Suppose -5*x + 16 = 4*g, 5*x + 12 = g + o*g. Solve -5 = b - x for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n - 11. Let w(d) = 3*d - 7. Let j(b) = 5*c(b) - 7*w(b). Let a be j(3). Let h(q) = -q - 1. Let y(s) = -s - 15. Let f(z) = -2*h(z) + y(z). Give f(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3183*w**3 - 2834*w wrt w.\nAnswer: 19098*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*(28\/(-49))\/((-72)\/84)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 996, 1992, 2988, 3984?\n\"Answer: 996*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((11\/(-2))\/1)\/((-6)\/12). Let h(n) = -5*n**3 + 3. Let q(o) = -9*o**3 + 5. What is v*h(c) - 6*q(c)?\nAnswer: -c**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 3*r - 1105 = 0. Let v = 336 + r. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (242*i + 282*i - 901*i)*(2*i - 4*i + i) to the form b + s*i**2 + u*i and give s.\nAnswer: 377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 63?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168 + (-96 - -194) - -20.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (149 - (103 + 0)) + 53?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = 10*a + 255. Sort a, 3, -5 in decreasing order.\nAnswer: 3, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11998482 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 60932 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/4 of a millisecond in microseconds?\nAnswer: 10250","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**4 - 1330 + 1331 + 3*z**4 - z**3 + 42*z**2 to the form u*z + p*z**4 + t*z**3 + y*z**2 + d and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-2)*60\/20. Let g(k) = -k**2 - 4*k - 3. Give g(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2749.74 + 2773. Let p = i - 31. Let s = p - -8. Sort s, -4, 4 in descending order.\nAnswer: 4, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 + -21. What is the remainder when (-5)\/((-30)\/6 + 3780\/763) is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + 6*q + 1. Let w be g(6). Find the common denominator of w\/1 - 138\/40 and 286\/36 + 13\/((-13)\/4).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 536 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248887 is divided by 82817?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13504*p**4 + 380*p**2 - 37362319 wrt p.\nAnswer: 54016*p**3 + 760*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 6 = -q - 10*j, -5*j = 10. Suppose 5*s + 159 = q*f, 3*f - 5*s = 34 + 79. What is the highest common factor of f and 368?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j - 2. Let z be o(-4). Let m(c) = 0*c - z*c + 3*c - 2*c. Suppose 5*u = -t + 3*u - 6, -u - 3 = -3*t. Determine m(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 + -41. What is the closest to 0.3 in 0.2, 2\/11, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + -27. Calculate the remainder when 10 is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, -4\/5, -5, 5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((3\/(-2))\/3). Let w be (-6)\/(-15) - (-24)\/(-10). Let b = w - -5. Solve -g*d + b = d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (-12)\/(-20) - (-6)\/(-15). Let y be b - 2 - (-6 + 1). Calculate the greatest common factor of 33 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5*x. Let q(i) = -26*i + i + 4*i - 22*i. Determine q(f(v)).\nAnswer: -215*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a**3*h + 2*a**3*p*z - 27017*a**2*h*p + 90*a*h*z + 215*p*z wrt z.\nAnswer: 2*a**3*p + 90*a*h + 215*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*i - 4974 - 5119 = -3543. Calculate the remainder when 783 is divided by i.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1768 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (129\/18 - (-6)\/(-36))*1 is divided by (3\/(-9))\/((-1)\/9).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 603\/(-63) + ((-1485)\/(-9))\/15.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3086783 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 11:39 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, m: 2, k: 1, y: 2, f: 1}. What is prob of sequence iyk?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2190, -1371, -568, 213, 966?\n\"Answer: -w**3 - 2*w**2 + 832*w - 3019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78777 is divided by 467?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11593181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -45*17*(0 - 2\/(-3)). Let k = -4059\/8 - p. Which is bigger: k or 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((0 + sqrt(68)*-1 - sqrt(68) - sqrt(68)) + -2 + -4 + sqrt(68) + -1 + 0))**2 + 1.\nAnswer: 504*sqrt(17) + 2890","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3265*v**3 + 19*v**2 - 821*v**3 - 820*v**3 - 812*v**3 - 828*v**3.\nAnswer: -16*v**3 + 19*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 107, 273, 549, 935, 1431, 2037, 2753?\n\"Answer: 55*p**2 + p + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from www.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1331) - (sqrt(1331) + -1 + 3 - sqrt(1331))**2)*6*5.\nAnswer: -120 + 330*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -16\/173?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 18*i - 1. Let o be v(-18). Let m = o + -58. Let y = -54 - m. What is the smallest common multiple of 19 and y?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2433970 to the nearest 100000.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, -17, -2, -5 in descending order.\nAnswer: 40, -2, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z - 25. Let b be x(-14). Let a = 22 + b. Let c(w) = -w**2 + 12*w - 11. Let p be c(a). Solve 6 = 3*k - p for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -306 + 104. Let u = -179.8 - a. Let h = u - 29. Round h to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 1:14 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10382209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -398*s + 41. Let v(t) = -156*t + 21. Let q(c) = 2*o(c) - 5*v(c). Determine q(-13).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 1:35 PM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1000 = -5*s - 5*n + 5, s = -2*n + 205. Let k = s - 403. Let u = k + 388. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9295 - -0.6\nAnswer: 9295.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6 - -0.57. Let f be 20\/30 - (3 + 305\/(-105)). Put u, -1\/3, -0.2, f in ascending order.\nAnswer: -1\/3, -0.2, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1495*d**2 - 82*d**3 + 1702*d**2 + 85*d**3.\nAnswer: 3*d**3 + 207*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a kilogram in grams?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y = -2*u - 26, 5*y + 233*u = 236*u + 5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -17*f. Let s(y) = 421*y. Let t(o) = -10572*o. Let k(n) = -153*s(n) - 6*t(n). What is z(k(q))?\nAnswer: 16677*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3}. What is prob of sequence zzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y. Let n(p) = -p**2 + p + 1. Let l(a) = 2*j(a) - n(a). Let o be l(3). What are the prime factors of o\/(3\/14)*-3?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u**2 - 6*u + 1. Let c(z) = 2*z**2 - 10*z + 6. Let j be c(4). List the prime factors of s(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t - t - t)*(4*t + 6195*t**2 - 6184*t**2 + 30*t) as m*t**3 + g*t**2 + a + y*t and give m.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ardadadcarv. What is prob of sequence ccad?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = j - 13, 6*i - i = 5*j - 85. Let o be (-11 - 1)*10\/j. List the prime factors of 3\/12 + (-86)\/o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(2448) + sqrt(2448) + -3) - -4*2*sqrt(2448))**2.\nAnswer: -8640*sqrt(17) + 979524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b. Let u(y) = y + 25. Let o be u(-21). Let t(q) = 22*q**2 + 17 - 11 - 3 - o. Give p(t(g)).\nAnswer: -44*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6 or 10559\/1542?\nAnswer: 10559\/1542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d - 6. Let r be (32\/(-6))\/4*(-3)\/1. Suppose -r*v = -0*c - 3*c - 21, -12 = 4*v. Let h be t(c). Solve -5*l - h = x, -6*l - 4 = -2*l - 2*x for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 374*o + 1499. Let i be q(-4). Solve -5*w + i*z - 22 = 0, 2*z = -5*w + z - 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -91945 bigger than -136\/109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -34*g + 241. Let q be w(-11). Let l = -610 + q. Solve -5*j - y + 1 = -17, -l*y = 3*j - 2 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 10 = 44. Let b(l) = 6*l + 20. Let q = 3 - 2. Let s(p) = -10 + 4 - q - 2*p. Determine h*s(u) - 6*b(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1)\/o)**(2\/59)\/(o**(-2)*o**(-1\/4)) assuming o is positive.\nAnswer: o**(515\/236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73963853*l**3 - 100712816*l wrt l?\nAnswer: 443783118*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 43*a - 8454. Give p(-73).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 220247811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 5*n**2 - 3 + 32*n + 4 - 29*n to c*n + h*n**2 + f and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - 11. Let u be -1*1 - 0 - -5. Suppose -g = u*g - a. What is the least common multiple of g and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -3. Let g(i) = 15 + 0 + 3*i**2 + i + 0*i - 2*i**2 + 4. What are the prime factors of g(y)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259553579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 161374?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(243\/6)*(-630)\/(-280)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47993271.9 rounded to the nearest one hundred thousand?\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2809*f**2*g**2 + 15*f**2*g - 25*f**2*y - 549*f*g**2*y**2 - 7*g**2 + 2*y**2 wrt y.\nAnswer: -25*f**2 - 1098*f*g**2*y + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.7 and 0.1127891.\nAnswer: 0.8127891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {k: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 16, 5, -50, -173, -388?\n\"Answer: -4*k**3 + 2*k**2 + 11*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 8*n = 635. Let p = n - 7. Is 36 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, -2\/15, 0.5 in ascending order.\nAnswer: -2\/15, 0.05, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**3 + 3*w**2 - 6*w + 4. Suppose 0 = 8*t - 3*t + 15. Let h be 29\/6 + t\/(-18). Is p(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**5 - 231*o**4 - 4080*o**3 + 14400*o**2.\nAnswer: -3*o**2*(o - 3)*(o + 40)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -4*p - 62, 8*s - 3*s + 10 = 0. Let h = p - -18. Let g = -3 + 5. Solve h*a = -g*a + 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 722 is divided by 254.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qdddqddd. Give prob of picking 2 q and 2 d.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7276*n + 24 = -7275*n + 4*j, 2*n - 24 = -4*j for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k - 1. Let p(c) = 3*c - 1. Let h(f) = f**3 - 4*f**2 - 5*f - 6. Let t be h(5). Let m = -6 + 11. Let n(b) = m*p(b) + t*o(b). Calculate n(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -4*x + 4. Suppose 216*m = 203*m - 65. Let s(t) = 1. What is m*z(w) + 20*s(w)?\nAnswer: 20*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/20 of a second?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b - 14. Let k be r(6). Let f = k + 44. Let j be (54\/4)\/((-1)\/(-12)). What is the greatest common factor of j and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 2*k + 3. Suppose 6 = -3*p - 0. Let l = 2 - p. What are the prime factors of g(l)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2*h - 829 = 0, -21*h + 328 = 2*t - 22*h. Let r be ((-99)\/(-4))\/((-18)\/(-48)). What is the greatest common factor of r and t?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 14*u + 17. Let s be z(-16). Let i be 1113\/s - (-2)\/7. What is the greatest common divisor of i and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*(-4 - 39\/(-9)). Suppose d*y = -4*y + 126. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - h + 5*h - 36 = 0, 0 = 3*y - 5*h + 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 2.5. Suppose -3*o = 4*i - 3, -o - i = -3*i - 1. Let t be (-2 + o)*0\/(-4). Is a less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -197*r + 6. Let y(q) = -q. Calculate y(w(k)).\nAnswer: 197*k - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 5*g + 26. Let u be p(-3). Suppose 0 = -u*c - 6, 17*v - 20 = 16*v + 3*c. Sort 0, v, -2 in increasing order.\nAnswer: -2, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 20*f**2 + 2*f. Let b be i(-2). Suppose -20 + b = 4*o. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(252)*2 + -1*1*sqrt(63) + 1*(sqrt(175)*2 - (2 + sqrt(252) - sqrt(252))).\nAnswer: -7 + 19*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -40*v + 439. Let z be l(11). Which is greater: z or -26\/471?\nAnswer: -26\/471","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1068149 is divided by 898?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 4:53 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.7204634 and 0.47.\nAnswer: 0.338617798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*-20.055.\nAnswer: 240.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -33 and -353?\nAnswer: 11649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/(-9)*4\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(272) - (-2 + sqrt(272)))**2*1 - (((sqrt(17) - (sqrt(17) + -3))*-5)**2 - (0 + sqrt(119)\/sqrt(7))).\nAnswer: -245 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 389824 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 49\/6 + (-13)\/78. Solve -2*i = -5*o - 23, 0 = -o - 3*o - 5*i + x for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*r + 700 - 196 = 0 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/28 and -61\/99235620?\nAnswer: 694649340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 3*c - 16. Suppose -3*o + 1 + 2 = 0. Does 2 divide (o\/(-2))\/(c\/(-24))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 10. Let f = k + 8. Solve 3*j = 12, d - 4*j - f = -22 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3467, -9170, -18695, -32048, -49235, -70262, -95135, -123860?\nAnswer: -156443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -3, -6\/175 in increasing order.\nAnswer: -3, -0.4, -6\/175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**3 - 182*m**2 + 308*m - 930. What is g(59)?\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2. Let o(b) = b**2. Let q(p) = 3*o(p) - s(p). Let a(c) = -c. Let j(m) = -15*m. Let l(x) = 27*a(x) - 2*j(x). Calculate q(l(w)).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + sqrt(700))**2 + (sqrt(700) - (-5 + (sqrt(700)*2)**2)).\nAnswer: -2079 - 70*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/9)\/(4\/(-30)*(-15865)\/(-1002)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 8*j**2 + 11*j + 6. Let u be p(-9). Let a = u + 24. Calculate the smallest common multiple of 36 and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*c + 24 - 1529. Let r = c + -56. Suppose j - 135 = -2*y + 4*y, 4*y = -j + r. What are the prime factors of j?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 84*g**2 - 1325*g - 2987. Calculate b(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4*y + 7. What is i(-6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 17*h - 16. Let y = -17275 + 17289. Calculate c(y).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12643350 - -407.\nAnswer: -12642943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.55 - 13.7. Let s = 10 + h. Let z = 0.05 + s. Round z to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22655010 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-96)\/(-21) + (-4)\/7. Let h(q) = 14*q**2 + 11*q + 4. Let c be h(d). Suppose 0 = 2*n - 5*m - 119, -3*n + c = 2*m + 46. Is 9 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17916.999988893 - 17917. Round y to seven dps.\nAnswer: -0.0000111","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 15\/(-8) - (-1)\/(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55 + 18*v - 18*v + v**3)*(-5*v + 3*v - 5*v)*(-1 + 4 - 1 + 2 + 0 - 3 + 3 - 3 + 2 - 3 - 1 + 2 + (0 + 1 + 1)*(1 - 4 + 2) + 1 + 4 - 3).\nAnswer: -7*v**4 - 385*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 divided by 3?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -29202*b - 321234. What is d(-11)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75)\/(-110)*448\/(-560)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**2. Let z(f) = -4294*f**2. Calculate g(z(t)).\nAnswer: 36876872*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5531.929 litres?\nAnswer: 5531929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.17 + -5.4. Let x = h + 0.03. Let z be (-7)\/((-7)\/(-6)) - -1. Which is the second biggest value? (a) 3\/5 (b) x (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -96, -192, -256, -276, -240?\n\"Answer: 2*k**3 + 4*k**2 - 122*k + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -105*l + 28599. What is h(274)?\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 12:03 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/3826 and 37\/4373.\nAnswer: 16731098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 288*j + 177*j + 988*j + 10 - 275 - 56 wrt j.\nAnswer: 1453","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -231, -293, -353, -411, -467, -521?\n\"Answer: d**2 - 65*d - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzz when three letters picked without replacement from {x: 1, q: 2, z: 5, m: 5, v: 6}?\nAnswer: 50\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j - 10 + 9 + 1. Let m(u) = -5*u + 7. Let p(t) = 8*t - 10. Let f(y) = -7*m(y) - 5*p(y). Calculate 3*c(b) - f(b).\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10222772 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -484170 or -484103?\nAnswer: -484170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -r**4\/24 - r**3\/3 + r**2. Let t be u(-4). Suppose -m - 2 = -t*m. What is m rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 1a01835?\nAnswer: 1a01834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9639567 and 189?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 4*l**2. Let z(v) = -3*v**2 - 6. Let p(u) = -u**2 - 3. Let m(k) = -5*p(k) + 2*z(k). Let s(x) be the first derivative of m(x). What is s(c(b))?\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 1:38 PM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 124 - 141.4. Let c = l + 16. Let o = 1.2 + c. What is the second biggest value in -1\/3, 1\/5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 532 - 524. Solve -f*a = -3*a - 25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 + 90\/24)*(-16)\/12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11110010001011 (base 2) to base 11\nAnswer: -10710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.542 + 0.142. Sort -0.19, 2, u, 3.\nAnswer: u, -0.19, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/6 and 127\/1412916?\nAnswer: 1412916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 117688 divided by 117688\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25095\/4 + 6274. Find l such that 1\/4*l**2 + 0*l - x = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b + 1. Let j(c) = -2. Let k(y) = -j(y) - 2*q(y). Let r(z) = 73*z - 11. Let o(t) = -6*k(t) - r(t). List the prime factors of o(-4).\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.2*-3.3\nAnswer: -3.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = -9*u - 3. Suppose u = 4*c - 5. What is the third derivative of -12*z**c + 2*z**2 + 172*z**5 - 161*z**5 wrt z?\nAnswer: 660*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a gram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/31 - -101\/124. What is the nearest to 0.1 in 0.4, 6\/5, m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.9 + -269977.\nAnswer: -269979.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 89 divided by -480\nAnswer: -89\/480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*f = 56*f - 1634. Solve -8*b = f*b - 108 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1710398 - 1710398 + 5267*g**3)*(-3*g + g + 5*g) in the form h*g + d*g**4 + t*g**3 + v + y*g**2 and give d.\nAnswer: 15801","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 647551\/40 + -16190. Calculate the common denominator of -27\/68 and a.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4111.666078 to the nearest integer.\nAnswer: -4112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -275419?\nAnswer: 275414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.2, 5, -7.1, -1\/4, -146, -3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 68 - 64. Suppose -k - q*f + 10 = 0, -2*k + 6*k = 4*f + 20. Calculate the lowest common multiple of k and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 115*a**2\/2 - 5295*a\/4 + 115\/4.\nAnswer: 5*(a - 23)*(46*a - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000077712 to seven decimal places.\nAnswer: 0.0000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r - 5. Let i be p(5). Suppose i = q + 2*l - 4, -4*q - 6 = -3*l - 0*l. Is -2\/3 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szzyyzmcqscs. Give prob of sequence qq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 326 - 326. Solve 34 = -3*l - 5*s, 5*l + 2*s + 10 + 15 = r for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 86.4 + -97. Let t = -10.3 - h. Which is the third smallest value? (a) t (b) -2 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3ca - -6bb7a?\nAnswer: 6c166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7075?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 - 34. Which is smaller: v or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.95335 + 0.74741. Let u = -10.3 + 12. Let n = w - u. Round n to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -12*(-6)\/9 - (-21 + 24). Let s = -11 - -18. Solve -y - s = 4*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + s + s - 1)*(114 - 85 + 79)*(-4*s + s + 5*s + (0*s + 0*s - 4*s)*(-5 - 1 + 4)) + 2*s**2 - 3*s**2 + 3*s**2 to the form x*s + j + f*s**2 and give x.\nAnswer: -2160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 4 = 10*y - 4*c, 141 - 55 = 3*c + 2*c - 94 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 68 = 279. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3786 is divided by 139?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 120*q**2 + 24601*q + 185. Give o(-205).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17 + 0?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -30 (b) -1\/7 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4*r + 732 = 0, 3*u - 1108 = 2*r - 3*r. Suppose -522 = -h + u. Suppose -25*w + 29*w - h = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**3 - 5*h**2 + 44*h - 60 = 0. Calculate h.\nAnswer: -10, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 41044442 and 15226.\nAnswer: 41059668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 192455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*k + k - 3*s + 6, 4*s - 16 = 4*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d + 4. Let z be v(-2). Suppose z*p = p + 4. Let q be (-2)\/(-9)*p\/(-8). Which is the second smallest value? (a) 0.3 (b) q (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -642 (base 13) to base 10.\nAnswer: -1068","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/30)\/(22\/(-33)*-1)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2484 is divided by 208.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k = 3*k + 416. Suppose k*s - 864 = 44*s. Calculate the highest common divisor of s and 144.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1022310023 (base 4) to base 12\nAnswer: -12940b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-42)*9*(-10)\/(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2070 and 5244?\nAnswer: 78660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*n**2*u**2*w**3 + 32*n**2*u*w**2 + 1430*n**2*w**3 - 3*n**2*w - n*u**2*w**2 - n*u*w - 21*n wrt w.\nAnswer: 90*n**2*u**2 + 8580*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 6 = -5*l, 2*l - 9 - 37 = -4*x. Solve 15 = -5*n + 5*s, -x*n + 6*n + 4*s = 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*m - 22 = m, 3*l - 2*m - 10 = 0. Suppose -8*a + 78 = -l*a. Suppose -8*x - a = -9*x. List the prime factors of x.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**3 - 65*p**2\/3 - 68*p\/3 - 4 = 0. What is p?\nAnswer: -6, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -34*o**4 + 8*o**2 - 1053. Let g(s) = 27*s**3 - 3*s. Give 16*g(q) + 3*r(q).\nAnswer: 24*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - 32 = 10*u. Suppose 4*d + 0 = u. Suppose 28 = d*l + 4*z, 0*z - 1 = -3*l + 2*z. Sort -2, l, -1 in decreasing order.\nAnswer: l, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -5*r**3 + 175*r**2 = 0.\nAnswer: 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24020 and 8.\nAnswer: 48040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 + 149376*s\/5 + 43454448.\nAnswer: 4*(s + 5490)*(5*s + 9894)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 6*n**2 - n + 4. Let t be z(6). Let v be 6\/(-1 + (-23)\/t). Let m = -0.3 + -0.7. Put m, 0, v in increasing order.\nAnswer: m, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.1 + 0.9. Let z = l + -4. Let n be (-12)\/4 - 129\/(-45). What is the nearest to 1\/4 in z, -2\/9, n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 12:33 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -643 - -903. Suppose -3*d + m = d. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.96 + -0.04. Let w be (-14)\/12 + (-13)\/338*-39. Sort w, g, 0.4 in descending order.\nAnswer: 0.4, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1129742 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 5*k - 2. Let j = -255 + 60. Let z = -192 - j. Determine p(z).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33697 - ((-9 - -6) + 3)\/(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s**2 + 30*s + 4. Let d be y(10). Suppose 4*c + g + 29 = 0, c + 2*c + 39 = 5*g. Does 20 divide d\/(c\/(-122)) - 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 55631*s. Let w(v) = -2*v**2. Determine w(z(d)).\nAnswer: -6189616322*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 4*t**2 - t - 2. Let h be r(4). Let q be (h\/4)\/(3\/16). Let x be (q\/(-3))\/((-14)\/(-105)). Solve 4*y - x = -0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 66*v - 62*v + 1.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3201, 3185, 3167, 3147?\n\"Answer: -d**2 - 13*d + 3215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7919\/20 - -396. Let w(p) be the third derivative of 1\/150*p**5 + 0*p - 4*p**2 + 2\/15*p**3 + l*p**4 + 0. Factor w(r).\nAnswer: 2*(r + 1)*(r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 666*q - 643*q. Let d(n) = -n**2 - n. Let i(l) = -12*l**2 - 2*l + 2. What is q*i(t) - d(t)?\nAnswer: -11*t**2 - t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 7:50 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 8:14 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -5, -4, 4, 6 in decreasing order.\nAnswer: 7, 6, 4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 324659 and 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 207 + 98. Suppose 36*l - 31*l = p. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-8) - (-63)\/(-28). Let i be 16\/(-10) + m\/5. Let y(k) = k - 20. Let w be y(6). Sort i, -3, w.\nAnswer: w, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, k: 1, r: 2, q: 1}. What is prob of sequence srqr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11008654 a multiple of 630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 4, 0.1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8232 and -1?\nAnswer: -8232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -520.395 in -2\/17, -4, -2\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 28 = -0*o. Let j = o + 39. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d - d + d + (2 - 5*d + 0*d + 3*d)*(0 - 4 - 4)*(1 - 1 - 1).\nAnswer: -14*d + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 14*n**2 - 25*n + 22. Let j be l(12). Let v(t) = 7*t**3 + 5*t**2 - 5*t + 7. Let m(x) = 3*x**3 + 2*x**2 - 2*x + 3. What is j*m(z) - 4*v(z)?\nAnswer: 2*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 24\/(-12))\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u - 1. Let x(v) = 4*v**2. Give i(x(s)).\nAnswer: 12*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 2*d**2 + 2*d)*(24 + 19 + 63)*(-2 + 2 - 2*d).\nAnswer: -424*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0)**(-5\/7))**(-1\/8)\/((c*c\/c**1*c)\/c**(-1)*((((c**5\/c)\/c)\/c)\/c)\/(c\/(c**(-1\/2)*c))) assuming c is positive.\nAnswer: c**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, f: 5, h: 1, z: 5, k: 6, d: 2}. Give prob of picking 1 o and 1 k.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 89630003?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 7*g**2 + 4*g - 9. Let i(d) = -d**2 + 1. Let b(y) = -6*i(y) - n(y). Suppose 2*s = -4*q - 11 - 9, 4*q = -s - 20. Calculate b(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hpppbhpbbppp.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of l**5\/300 + l**4\/120 - l**3\/15 + 2*l**2 - 5. Let c(d) be the second derivative of m(d). Factor c(z).\nAnswer: (z - 1)*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 958 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 636475080?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -602.6, -0.3, -3, -0.31, 5, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 4*t + 9. Let q be 0*(-3)\/t - 0. Let v be q + 2 + (1 - 1). Solve 0 = -2*y - 2*b + 6, -5*y = -v*b - 13 - 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245498 is divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 340 and 134592196?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from coegeeocoge. Give prob of picking 1 o, 1 c, and 1 e.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2030.94 + 2049. Let j = k + -18. Put j, -1\/11, -3 in ascending order.\nAnswer: -3, -1\/11, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of 59167*o**4\/2 + 2*o**3\/3 + 6*o. Let k be p(-2). What is k rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 7*b**3 - 5*b**2 - 3*b. Let s be (3 + 3)\/1 - 1. Let w(j) = 4*j**3 - 3*j**2 - 2*j. What is s*w(r) - 3*v(r)?\nAnswer: -r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58 - 25. Suppose -3*t + f = 2*r, t + 2*t + 5*r - 33 = 0. What is the least common multiple of t and ((-6)\/5 - 0)*-5?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - -14 - (2 + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1069547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4310844877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express j**3 - 4 - 18 - 324*j + 644*j + 3*j**2 - 322*j in the form q + f*j + w*j**3 + g*j**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 11 + 24\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*r**5 - 3*r**4 - 31*r**2 wrt r.\nAnswer: 1860*r**2 - 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*o + 27*o - 96. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-608)\/1520)\/((-4)\/((-120)\/22)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/5)\/(w**10*w))**40)**(-22) assuming w is positive.\nAnswer: w**9328","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3745 + 4357. Solve 617 - d = s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 31 + -18 + -6 + 9?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 6*g + 2. Suppose 3*z + 21 = 3. Let j be q(z). Solve r - 11 = -2*a + 7*a, j*a + r + 3 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of 29*o**5\/60 + o**3\/3 - 28*o**2. Differentiate f(l) wrt l.\nAnswer: 58*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -142 and 66.45.\nAnswer: -9435.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3207345, -3207250, -3207155, -3207060?\nAnswer: -3206965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.65504 micrograms to nanograms.\nAnswer: 94655.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*g + 12 + 12 - 39 + 15.\nAnswer: -111*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yzy when three letters picked without replacement from zyzyuzy?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 9\/347716?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4902782567?\nAnswer: 4902782567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03 and -37?\nAnswer: -1.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and -81733?\nAnswer: 81733.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -47*q - 5. Let f(n) = -94*n - 9. Determine 6*f(b) - 11*z(b).\nAnswer: -47*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151363?\nAnswer: 23, 6581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/(-5) + 21\/(-35). Suppose -w = d*w - 44. What is the least common multiple of w and (0 + -2)*(-1)\/1?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7651074 and -1.6.\nAnswer: -7651075.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50064 and 672.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 282076*j*m - 2*m - 347929 wrt j.\nAnswer: 282076*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 - 100705*m - 16689474.\nAnswer: -(m + 166)*(m + 100539)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22049.\nAnswer: 17, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 315 and 190265355?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*sqrt(320))\/(sqrt(4) - -2*sqrt(400)) - (sqrt(45) - sqrt(450)\/(-2*sqrt(10)) - sqrt(45))*5)*4)**2.\nAnswer: 1512500\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8380*s**2 - 34 + 59 - 25.\nAnswer: 8380*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = f - 23, -2*q + 6*q = 4*f - 56. Sort -4, 5, -95, q in descending order.\nAnswer: 5, -4, q, -95","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 7807*h = -7812*h, 0 = -4*h for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3976960 and 16640.\nAnswer: 3976960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3286804712.000887 - 3286806064. Let g = a - -1352. Round g to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 - 25*q - 88. Let p be l(-21). Let c = 2362 - p. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-4\/15)*b**(4\/7)*(b*b**(-2))**40)**(-2\/67) assuming b is positive.\nAnswer: b**(8126\/7035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f + 96 = 15*f. Calculate the remainder when 72 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l\/(l*l**35*l*l*l)*l**(-30)*l*l*l**2*l*l**(-15)*l*l*l assuming l is positive.\nAnswer: l**(-74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7053576 divided by 8\nAnswer: -881697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2273*r**2. Let b(u) = 20*u. Determine p(b(y)).\nAnswer: -909200*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) 1 (b) -2\/9 (c) -0.5 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + (-28)\/(-12) + 33\/9. Suppose 5*q - 2*f = -2, 4*q - f - 2 = -d*f. Which is the smallest value? (a) q (b) -0.5 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-5) + 18\/(-5). Let t be ((-328)\/18 + 2\/9)*1. Let l be (t\/f)\/1 - 0. Does 6 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - 8. Let m(h) = 7*h. Let k be m(9). Let q = k - y. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 1 + 14 = 0, p - 9 = n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 4*o + 7*g - 12*g, 2*o + 8*g + 2 = 0. Solve 3*m - x + 11 = 0, m - x = -4*m - o for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 297.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**2\/7 + 650612*t\/7 + 3253085\/7 = 0. Calculate t.\nAnswer: -5, 650617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from onoooonnnb. What is prob of picking 1 n and 1 b?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-16)\/i)\/i*i*i**10 assuming i is positive.\nAnswer: i**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 340 divided by 10?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110 and 715.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 10*y + 104. Determine w(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vsvsvgvddosjvvsvo. Give prob of sequence govs.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 2 n, and 1 c when four letters picked without replacement from knkkkknokkkkccwon?\nAnswer: 27\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 188, 378, 568?\n\"Answer: 190*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-150)*-6*-1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 3, -13734, 4 in decreasing order.\nAnswer: 4, 3, -1\/4, -13734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -111621079070 to the nearest one million.\nAnswer: -111621000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jyix when four letters picked without replacement from {j: 3, i: 1, x: 3, e: 4, y: 7}?\nAnswer: 7\/8160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84*(-19)\/(-114))\/(-3*(-6)\/(-27)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3946443 is divided by 347?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(2\/85)*a))\/((a*a*a\/(a\/a**(-3\/8)*a))\/a))**(-45) assuming a is positive.\nAnswer: a**(-2151\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**3 + 61992*l**2 - 240249984*l + 480252032 = 0. Calculate l.\nAnswer: 2, 7748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/3 in 13, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 + -36.5. Let m = -0.1 - 0. Put m, t, 3\/4 in decreasing order.\nAnswer: 3\/4, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 10766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 5*m**2 - 8*m + 3. Let n be t(6). Let r = -5 - n. What are the prime factors of (r\/6)\/(3\/9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4122159 a multiple of 1198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -b**6\/840 + 19*b**5\/420 + 8*b**4\/21 + 22*b**3\/21 - 2*b**2 + 87*b. Factor s(p).\nAnswer: -(p - 22)*(p + 1)*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qffededeqeffefqree. Give prob of sequence qq.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 113685222179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-8))\/(0 - 1)*(-305984)\/(-133868). Let l = -4.11 + 0.11. Let g = -3 - -1. Which is the nearest to 1\/4? (a) z (b) g (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -6.1. Let q = -0.1 - -0.1. Is u greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2. Let f(k) = 28*k - 3033 + 3032 + 16*k + 41*k. What is z(f(m))?\nAnswer: 14450*m**2 - 340*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 12. Let d be 6\/(-4) - (-344)\/16. Solve p*r = 3*r + d for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -309 - -320. Suppose -96 = -5*m - v*m. Solve 3*d - 1 = c, -4*c + m = -2*d - 0*c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f - 18. Let v be b(9). Suppose v = -2*u - u + 114. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1605 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: Simplify (w*w**(-6))\/w*((w**(-7\/4)*w*w)\/w*w)\/w*w\/w**(-16)*w*w**(-12\/5) assuming w is positive.\nAnswer: w**(177\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**3 - 3*y**2 - 7*y - 4. Let b(t) = t**2 + t + 1. Let h(x) = 3*b(x) + f(x). Let u(q) = -2*q**3 + 3*q + 1. What is -4*h(z) - 5*u(z)?\nAnswer: 2*z**3 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, 9, -1\/50?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((36\/(-98))\/(-3))\/(36\/(-8)*(-473)\/9933)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, d: 1, l: 11, j: 5, f: 1}. Give prob of sequence yljy.\nAnswer: 11\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 291 and 24.\nAnswer: 2328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 0.6 (c) -122.6 (d) -2\/5 (e) 0.4 (f) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13856287.\nAnswer: 29, 31, 15413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6, -50, -94, -138, -182, -226?\n\"Answer: -44*m + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 5*t - 20, 4*t = -3*w + 7 + 15. Is 17 a factor of 4*(w + 3 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.9 - -0.829. Let m = 0.018 - r. Let z = m + -0.08983. Round z to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -3.7. Let k = -1.3 - g. Let p = -0.11 - 3.89. Sort 0.5, p, k in descending order.\nAnswer: 0.5, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d. Let c(a) = -a**3 - 8*a**2 - 7*a + 5. Let x be c(-7). Let o(j) = j. Determine x*o(v) - 4*p(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nyin when four letters picked without replacement from {y: 1, i: 12, n: 3}.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -72.31 - -70.4. Which is smaller: 0.1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*1*sqrt(200)*1.\nAnswer: 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 323*m**2 - 163*m**2 - 159*m**2 - 18.\nAnswer: m**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1038 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 4*o - 27. Is 18 a factor of n(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 5*k**2 - 2*k - 1. What is z(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c - 4*c + 2*c)*(-1 + 2 + 0)*(12 - 3 - 1) to the form y + z*c and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y + 1. Let b = 12 - 6. Suppose 3*u + b = 2*u. Let l(d) be the second derivative of -5*d**3\/6 - 4*d**2 + 18*d. Calculate u*w(s) - l(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1612567 take away -31?\nAnswer: 1612598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -27*q**3\/2 - 3*q**2\/2 - 805*q. Let v(d) = 25*d. What is b(v(k))?\nAnswer: -2025*k - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1322522161 to the nearest integer?\nAnswer: 1098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -10233*b**2\/2 + 11234*b + 1779. Differentiate q(k) wrt k.\nAnswer: -10233","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -r**5\/20 + r**4\/8 + 211*r**3\/12 + 161*r**2 + 441*r + 4272. Factor d(w).\nAnswer: -(w - 18)*(w + 2)*(w + 7)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 - -33. Suppose -13 = 3*a + 5*d + 1, 0 = 3*a + 2*d + i. Suppose 5*m + 20 = 0, a*c + m + 429 = 1899. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -253*w**2 - 7083*w + 56. Calculate d(-28).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a. Let h(b) = b. Let i(t) = 5*h(t) + 2*y(t). Let l(c) = -c**2 + 5*c - 2. Let p be l(4). Let k(v) = 3*v - 3*v + 3*v + p*v. Calculate i(k(o)).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 13.96 and -0.0905930273146.\nAnswer: 13.8694069726854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(18\/4) + (-2806)\/(-414). Let h be 682\/14 + 4\/14. What is the highest common factor of h and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b833b (base 13) in base 15?\nAnswer: -163745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.2393*-12700.\nAnswer: -41139.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/(-6) - 321\/(-410) and -74\/35.\nAnswer: 1435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 10}. Give prob of picking 4 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2*n = -2*n + 26, -5*j + 4*n = 6. Let y = 103\/30 - 21\/10. Suppose 0 - 2*w**j - y*w = 0. Calculate w.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 s when three letters picked without replacement from sgggggsg.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 32 - 112. Suppose -h + 30 = 2*h. Calculate the remainder when 4\/(-10) + 304\/h is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 444*c + 17582 = 970*c - 6088 for c.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 8. Is (-1 + 6)*(-46)\/q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/9 - 1\/18. Let t = 3057 + -3056.6. Which is the closest to j? (a) t (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**2*m**(-26))**(-1\/19) assuming m is positive.\nAnswer: m**(27\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 491, 960, 1429?\n\"Answer: 469*n + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4062 is divided by 2728.\nAnswer: 1334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/5 greater than or equal to -523?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*c - 1 - 13. Let g = 100 - c. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(((-28)\/(-182))\/(24\/(-78)))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 334 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1975*r**4 + 4*r**2 - 123*r - 8797034 wrt r.\nAnswer: -7900*r**3 + 8*r - 123","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 328 (base 14) to base 13.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - -29. What is the remainder when k is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(-3)*r*r\/(r*r*r**(-3\/7)))\/(r\/(r*r\/(r\/(((r\/r**19)\/r)\/r*r)))*r*r**(5\/4)))**38 assuming r is positive.\nAnswer: r**(-11609\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 15*j**3 + 1521*j**2 - 1626*j - 9216 = 0?\nAnswer: -512\/5, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*g = 2*f - 13, 1 = f + g. Solve 3*m + 9 = f*j - 0*m, 0 = -j - 2*m - 6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -115 + 59 + 56 - 26*c**2 + 133*c wrt c.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, 5, 1, 12, -5 in increasing order.\nAnswer: -5, 1, 5, 12, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + k = 540. Calculate the remainder when k is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2 = 6*k. Let f be k + 3 + -4 + 5. Suppose 2*j + 5 = 3*b, -2*b = 3*j + 2*j + 3. What is the biggest value in j, f, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 66868549 rounded to the nearest 10000?\nAnswer: 66870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**2\/4 + 9831*l\/4 = 0?\nAnswer: -9831, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-2\/5)\/k)**4*((k\/k**(-3))\/k)\/(k*k\/(k*k**(-3\/4))*k))**(1\/42))**40 assuming k is positive.\nAnswer: k**(-107\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h*(h\/(h\/h**5*h))\/h*h*h*h)*h\/(h*h**(2\/13))*(h**(4\/3)*h)**(-3\/13) assuming h is positive.\nAnswer: h**(-87\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 4*n - 2. Suppose -3*k + 3*i = 7*i - 16, 4*i = 3*k - 56. Suppose 0 = -2*v - 2*v - k. Determine d(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence un when two letters picked without replacement from {u: 9, n: 1, m: 2, i: 2}.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29864 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4614 + 4666. What is the remainder when 331 is divided by j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + n + n)*(5 - 3 + 1 + (2 + 4 - 5)*(2 - 5 + 4))*(0 - 3 + 1).\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n**2. Let j(s) = 12669648*s. Calculate v(j(z)).\nAnswer: -481559941331712*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand r + 10*r + 6*r + (0 + 0 + 2*r)*(2 - 1 + 0) - 72*r - 146*r - 27*r.\nAnswer: -226*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ez when two letters picked without replacement from uueuquqxeuxxzx?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -9. Suppose 7*l - 10 = -k. Suppose -4*i = -0*z + 2*z - 8, -3*i = z + l. What is the remainder when 55 is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -6*t. Let k be d(-1). Let n = 7 + -3. Suppose 4*i = -n*r + 20, -4*r + r = -3. Solve x = i*x + k for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59.63 + -60. Let t = -0.07 - d. Let j = -6 - -2. Which is the third smallest value? (a) t (b) -1\/7 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -9481*j - 180037. Calculate o(-19).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4406 less than -83744476.985?\nAnswer: -83748882.985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2961330.91 rounded to the nearest 100000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 + -33. Solve i*d + 2 = 5*h - 4, 0 = h + 5*d + 10 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -10*h + 46. Suppose h*o - 768 = -22*f + 27*f, -3*o + 549 = 3*f. What are the prime factors of o?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*i**2 - 64*i + 64*i as c*i**2 + u*i + f and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2*1)\/(3\/6). Suppose 195 = u + f*u. Calculate the smallest common multiple of 458\/(-5954) + 313\/13 and u.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*t**2 - 31 - t**2 + 7*t**2)*((2*t - t**2 - 2*t)*(5 - 1 - 2) + 0*t**2 + t**2 - 2*t**2 - t**2 - 2*t**2 + 2*t**2).\nAnswer: 8*t**4 + 124*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.093 - -0.007. What is the closest to 0.1 in k, 2, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/8 of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(6*(sqrt(208) + 1) + 2*(-3 + sqrt(208)))**2*3*-1.\nAnswer: 119808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*g**2 + 82*g**2 - 36*g**2.\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*sqrt(252)*-2 - sqrt(252)) + sqrt(252))\/(-3*sqrt(16)))\/((sqrt(225)*-2*6 - sqrt(225))*1).\nAnswer: -2*sqrt(7)\/65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*x + 5*x. Suppose 3*b = x*y + 11, -5 - 48 = -5*b - 2*y. Is 9 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 5:37 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/760)\/((-29)\/(-435)).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 184651581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11656.\nAnswer: 2, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -281, 13, 2, -4\/29, 3\/7 in increasing order.\nAnswer: -281, -4\/29, 3\/7, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8158 - -4787. Let n = 19192 - h. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 954833.7 and -84?\nAnswer: -80206030.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 37 = 3*y - y, 4*m = -y + 2. Suppose y = c - 14. Is c a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*t + 8, -i - 4*i - 6 = 4*t. Suppose -i = -2*v - 2*k - k, v = -2*k + 1. What is the units digit of 1\/v*3*2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 76 = -f, 5*f = -253*s + 248*s + 110. Solve c + 3*m - 2 = s, -5*c = -5*m for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 911, 3697, 8339, 14831, 23167, 33341, 45347, 59179?\nAnswer: 74831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1121020 + -1201300?\nAnswer: -2322320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 + -14 + (-3 - (1 + 1)) + 10?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/26047285 and 53\/21311415?\nAnswer: 234425565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 greater than or equal to 91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (24\/18)\/(4\/(-6)). What is the tens digit of w - -21*(-6)\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/16 of a hour?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w\/(w*(w*w\/w**(7\/2)*w*w)\/w))\/w)*w*w**(2\/15))\/(((((w*(w\/((w**(-1\/9)\/w)\/w))\/w*w)\/w)\/w)\/w)\/w**(-2\/21)))**20 assuming w is positive.\nAnswer: w**(1798\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11682 > 11682?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-91 + -40 + 99).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*h**4 + 1022*h**3 + 2004*h**2 + 1256*h - 80 = 0 for h.\nAnswer: -2, 5\/86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7093946 or -7093931?\nAnswer: -7093931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4974436 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 80 + 204*t - 4*t - 45 - 32 to u*t + y and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 5*p = 12, 5 = 3*d - 4*p - 9 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -247, 3\/4, -0.4, 2\/5, -39796 in descending order.\nAnswer: 3\/4, 2\/5, -0.4, -247, -39796","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/6 - 62\/(-3). Suppose 4 = -2*l + 4*j, 5*j + 2 = -5*l + 22. Let v be (d\/3)\/(l\/3). Solve 0 = 2*m + v for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43248.9 hours to days.\nAnswer: 1802.0375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 774372457 + -774540955.4876. Let g = l + 168532.48760105. Let u = g + -34. What is u rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/12980 and -63\/24382.\nAnswer: 158239180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 163948 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (4600\/6555 - ((-1)\/(-3))\/(-1)).\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 6*n**2 + 7*n + 3. Let w be b(-4). Suppose 0 = w*l - 7 - 0. Does 28 divide l\/((-4)\/(-200)) - -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 e when three letters picked without replacement from {e: 3, b: 12}?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28.16 - -28. Let q = -0.1 + g. Let j = q - 1.74. Which is smaller: j or -1\/8?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8586, 17170, 25756, 34344, 42934?\n\"Answer: t**2 + 8581*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-43 - -5) + 16 - -20.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25\/37 + -1\/111. Let i be 2\/(-9) - 22\/(-18). Let p be i*(27\/(-24) + 1). Sort 6\/7, z, p.\nAnswer: p, z, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.5401051mm?\nAnswer: 0.0005401051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - 22. Let c(o) = -2*o**2 + 19*o - 22. Let n be c(8). Solve -3*l - 13 = -n*a, l - 3*a + 16 = -u*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*f - 33 = 123 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -24 * 1363.6\nAnswer: -32726.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88 + (-708 - -8)\/(-35)*(-1)\/2.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 r, 1 q, and 1 a when four letters picked without replacement from qqtrqbnqqqaaraqbqta.\nAnswer: 32\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66 - -116) + 0 + -4 + -56?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18.63 - 19.03. Sort 129, -0.2, z in ascending order.\nAnswer: z, -0.2, 129","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27444 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -4*o + 23, 0 = o + 18*g + 55 + 4 + 29 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13.1 + 17.9. Is 1 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 641.563 - 7.263. What is j rounded to the nearest ten?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 4:37 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 3*c + 1. Let x(v) = 2*v**3 - 5*v**2 + 166*v - 5. Determine -5*h(b) - x(b).\nAnswer: -2*b**3 - 181*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 35*d = 19297. Does 15 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13076.7948 - -13074. Let w = -35 + 32.2. Let u = w - s. What is u rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-3)*(-2)\/(16\/(-24)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14248 + -4?\nAnswer: -14252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**3 - 10*b**2 + 18*b - 3. Suppose 8 = -4*t + 4*g - 8*g, -2 = 4*t - 2*g. Let m(x) = -5*x**3 + x + 2. Let z be m(t). List the prime factors of d(z).\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 + -214 - 4*(-3)\/(-12). Let d = 212 + o. Let m = -8 + 12. Solve -2*p + 25 = 3*q, -5 = d*q - m*p - p for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -506 - -320. Let c = -177 - v. Is 0.11 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-85)\/(-120)*-40?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13507 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 - 21. Let x(r) = -r**3 + r**2 + 7. Let s be x(t). Let y = s - -129. Calculate the remainder when 99 is divided by y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -14*q + 3. Let l(b) = 5*b - 17 + 14 + 10*b. Let v(g) = 7*f(g) + 6*l(g). Does 23 divide v(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4626418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + 5 + -9 + 7. Let x be 54 + 0 - (-6)\/3. Suppose w = -3*o + x. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 80*v - 2. Let f(z) be the third derivative of -z**4\/24 - 346*z**2. Calculate w(f(d)).\nAnswer: -80*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 56 - (-1 + 10\/(-5)). Let z = 49 + y. Calculate the greatest common divisor of 9 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38*x**2 - 5924*x\/3 - 208\/3.\nAnswer: 2*(x - 52)*(57*x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q + 2. Suppose -7*p - 4*s + 6 = -2*p, 2 = -2*s. Suppose -p*d - d = -3*i, -2*i + 5*d = 6. Is 5 a factor of f(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3357090 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -457 - -302. Let m = b - -265. Suppose -2*z - 5*h + m = -0*z, 3*z + 5*h - 155 = 0. Is z a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.346 + 0.38. Let i = 64.30045973 - 64.33446. Let g = l + i. Round g to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 g, and 2 k when four letters picked without replacement from {s: 1, d: 2, w: 4, f: 1, k: 6, g: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 600.033 kilometers to centimeters.\nAnswer: 60003300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-1 - (-4)\/16). Let r(o) = w + 0*o + 2*o - 6*o + o. Let t be r(5). Is -3 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -88\/22786635 and -91\/20?\nAnswer: 91146540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 30250672 a multiple of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(11\/5)*y**(-2\/3))\/(y**(-9\/8)\/(y**(-29)*y)) assuming y is positive.\nAnswer: y**(-2921\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - p + (0 + 3 - 5)*(-3 + 3 + 2*p) + 0*p + p - 2*p + 0 + 0 + p)*(-119 + 1073 - 3462 - 2040).\nAnswer: 22740*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 246 or 248?\nAnswer: 248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 4:21 PM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4594649 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*d + 168 = -4*d, 15 = -5*d. What is the common denominator of (6\/20)\/(n\/165) and -13\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 11*g - 20 = 12*g, k - 32 = 3*g - 5*g for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 84000 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 7 + 252*g - 247*g)*(42 + 25 - 31).\nAnswer: 180*g - 396","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ubxcbucccxcbu. What is prob of picking 1 b, 1 u, and 2 c?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 108702216 - 266217?\nAnswer: 108435999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + r + (2*r + 4*r - 3*r)*(3 - 3 + 1) + 4*r + r - 4*r)*(0*r + 27*r + r).\nAnswer: 140*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 1)\/((-4)\/44*-1). Let c(m) = 4*m + 43. Let u be c(z). Let f = 39 + u. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide ((-3616)\/(-6))\/((-40)\/(-60))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 186 - 667046?\nAnswer: -666750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1103 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 - (20 - 25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 21*s + 1729. What are the prime factors of o(-9)?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -219 - 93. Is i at most as big as -77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 8*c**2 - 6*c - 4. Let m be g(7). Let v be 0*(0\/m + 1). Suppose v*w - 3*w = -27. What is the highest common divisor of 36 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bt when two letters picked without replacement from {t: 3, b: 13, o: 3}.\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -8. Suppose 4*g + 13 = -7*h + 2*h, 12 = -g - 3*h. What is the second derivative of -2*t**3 - i*t**3 - 5*t - 5*t**g + 2*t**3 wrt t?\nAnswer: -42*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b0 (base 12) to base 15.\nAnswer: 8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + sqrt(133)*2)*2 - sqrt(133)*3*-1)\/(((sqrt(56)\/(sqrt(40)\/sqrt(5)) - sqrt(7)) + sqrt(77)\/(1*sqrt(11)))*3).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/55 and 35\/143?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(-6)*s)\/s)\/s)**19\/(s*(s**(-16\/3)*s)\/s*s**(-3\/16)))**(-26) assuming s is positive.\nAnswer: s**(80171\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -1 (c) -0.251 (d) -15 (e) -0.27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13010*i + 26030*i - 13009*i.\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26368194.\nAnswer: 2, 3, 1213, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17640097 - 1812.7?\nAnswer: 17638284.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/2)\/(((-6)\/(-28))\/(54234\/5502)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -11805768 greater than -11805774?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - j + 1. Let t(z) = 14*z**2 + z - 5. Let q(o) = -24*o**2 - 4*o + 27. Let k(w) = 2*q(w) + 4*t(w). Give -k(s) + 6*y(s).\nAnswer: -2*s**2 - 2*s - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1998, 4013, 5986, 7917?\n\"Answer: -21*d**2 + 2078*d - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -99, -130, -187, -276, -403, -574, -795, -1072?\n\"Answer: -q**3 - 7*q**2 - 3*q - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/(7 - (-8 - (10 - 9) - -17)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-7) - 234\/(-280) - 1336\/1670. What is the fourth biggest value in -27, k, -2, 45?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 6) in base 14?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*c**2 + 0*c**2 + c**2)*(8*c + 19*c - 47*c).\nAnswer: 120*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.06859 + 637653?\nAnswer: 637674.06859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 332 + -282. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/17 in 23, -3, 7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 + 1144?\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/2 - (-13)\/2. Let f be (6\/(-4) - -1)*(8 - q). Suppose -5*j + f*r + 2*r = 10, 5*j = r - 5. Solve 9 = -m + 3*b, -5*m - 4*b - 6 - 1 = j for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10231 + 10233. Suppose 3\/4 - 9\/8*v**3 + 9\/8*v - 3\/8*v**i - 3\/8*v**4 = 0. What is v?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 786580\/7 >= 112368?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-14)\/(d\/(d**11\/d)) assuming d is positive.\nAnswer: d**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence asss when four letters picked without replacement from eeaesaseestaev.\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 221)\/(-1 + -1). Let b be (-40)\/50 - k\/5. Let c = b - -26. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 7*x**2 - 3*x + 3. Let b(f) = f**3 + f - 1. Let d(g) = 3*b(g) + k(g). What is the third derivative of d(n) wrt n?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**3*i**2 + 168*d**2*i**2 - 21955*d**2 - d*i**2 - 3*d*i - 13656*d - 3*i**2 + i + 2 wrt d?\nAnswer: 6*d*i**2 + 336*i**2 - 43910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -313002 (base 4) to base 12\nAnswer: -2056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 - 189*c**2 + 3069*c - 2883.\nAnswer: 3*(c - 31)**2*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2\/4 - 495*b\/2.\nAnswer: 3*b*(b - 330)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-107.\nAnswer: 10.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -69 not equal to -80295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 28*y + 32. Let r be k(26). Does 3 divide (-10)\/r - (-2)\/((-12)\/(-33))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 12 = 4*u, -4*u + 3*f = -194 + 220 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.9052717 to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(1100) + 0)**2 + sqrt(1100)).\nAnswer: 40*sqrt(11) + 4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 19*o + 27. Suppose 0 = 3*m + s + 2*s - 36, 22 = 2*m + s. Is g(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1321203 (base 4) in base 11?\nAnswer: 5932","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 747 and 20376?\nAnswer: 1691208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (-7 + 58 - 61)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -4, 1\/32, 214 in descending order.\nAnswer: 214, 1\/32, -3\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*f + 209*f - 494*f = -1863 for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-310)\/(-837)*105\/25.\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10520879 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-634*f - 107 + 295*f + 338*f)*(0*f**2 - 3*f**2 + 2*f**2)*(2 - 4 + 4) to c*f**2 + h*f + t + a*f**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 497*h + 16400. Determine i(-33).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - (-1 + 0 + 6). Let j(n) = 2*n**2 - 166*n + 781. Let q be j(5). Let c(s) = s - 1. Let w(m) = 2*m - 3. Determine p*c(b) + q*w(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t - 4 = 12*t - x, -2*t - 5*x = 16 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) 5 (c) -4 (d) 11.3 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 515505443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**4 + 11*r**3 + 2 - 11*r**3)*(6*r - 6*r + 6*r + 0 - r + 0 + (-3 + 3 - r)*(0 + 1 - 3) + 3*r + 3*r - 5*r - 2 + 2 + 3*r).\nAnswer: -44*r**5 + 22*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16 + 19 - 23 + (-6 + 5 + 2)*(-1 + 0 + 2) - 4 - 2 + 4 - 4 + 4 + 2)*(f**3 - f**4 - f**3) to the form r*f**4 + q*f + b + p*f**3 + o*f**2 and give r.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 10, 8, 2, -8?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -49*n + 36. Let t(o) = -33*o + 25. Give -7*t(a) + 5*v(a).\nAnswer: -14*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 61 + -57. Let l = 175 - 81. Suppose -l = -b*d - 22. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 + -6. Let h(k) = k - 3. Let d(w) = -1. Let f(s) = 3*d(s) + h(s). Let z be f(6). Solve 4*l + z*l - o = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -104.622 - -104. Let q = 1 - 0.4. Let x = c + q. Round x to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 49 = -51. Solve -7*i - 6 + p = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 5 + -2 + (7 - 9 - 4).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46 - 27. Does 19 divide (12\/4 + -2)*w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -11*g**2. Let x(j) = -7*j**2 + 6*j - 6. Let r(y) = -y**2 + y - 1. Let o(i) = 6*r(i) - x(i). What is f(o(d))?\nAnswer: -11*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217 is divided by 71.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19.5 bigger than -113\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 819 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, y: 1, j: 8}. Give prob of sequence lll.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 4 (c) -0.1 (d) 10 (e) 1\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/29)*u**(1\/6)*u*(u\/(u\/(u**(-5\/6)\/u)))\/((u*u\/((u\/u**(-11))\/u))\/u) assuming u is positive.\nAnswer: u**(806\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -237*z**2 + 1046*z**3 - 1046*z**3 + 2*z**4 + z**4 + 6074 wrt z.\nAnswer: 12*z**3 - 474*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1210210121120121 - -1?\nAnswer: 1210210121120122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 971450 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 174\/91585 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -20, 19, -34, -4?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o = 21*o - 972. Let q = o - 321. Solve -9*l - 18 = -q*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 579\/(-12) + 0 - 1\/(-4). Let x = p - -50. Suppose 0*l**2 + 0 - 2*l**4 + 0 + x*l**2 = 0. Calculate l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 6. Let n(k) = -4134*k + 107484. Let a be n(26). Solve -6*t - r - 7 = a for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 121*d**2 - 380*d - 990. Determine p(-124).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5999 and 46242.\nAnswer: 39629394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.12 - 0.1199951. What is l rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/5 (b) 0.5 (c) 9 (d) 0 (e) 64\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + (sqrt(7) - -1*sqrt(21)\/sqrt(3)) + sqrt(7) + sqrt(252))**2 + (-3*1*sqrt(700) - (sqrt(700) - (sqrt(700) + -1 + 3)))**2.\nAnswer: -660*sqrt(7) + 9856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(3\/(-5))\/(100\/(-20))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -337 - 125*j**2 + 55*j**4 - 4*j + 4*j - 53*j**4 wrt j?\nAnswer: 8*j**3 - 250*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, v: 2, r: 1, x: 1, i: 1, b: 1}. Give prob of sequence vimx.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 10753 = 2*w, 5*q + 5375 = w + 3*q. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 150 + -213. Let z be 2\/9 - 301\/t. Solve -2*u - 2*s - 2 = 0, -4*u - z*s = -2*s for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 5:47 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/9, -2.6, 0.1, 0.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13636248 is divided by 1179.\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 6:12 AM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/2 + 49*s**2 - 1464*s.\nAnswer: s*(s - 24)*(s + 122)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16\/147 + -422\/3577. Let h = y - -1985\/1533. Solve 0 - 12\/7*k - h*k**3 - 39\/7*k**2 = 0.\nAnswer: -4, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1290.4655 - 1290. Let i = 0.46 - m. What is i rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*r - 22641 = -23630 for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9580 - 9528. Are o and -31 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -159351, -159211, -159069, -158925?\n\"Answer: v**2 + 137*v - 159489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75)*2 + 4 + -3 + (sqrt(75) + sqrt(75)*2 - (1*sqrt(3) + -1)**2).\nAnswer: -3 + 27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3277 + 3276. Is v smaller than 3\/272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1\/21, -0.4, -6864 in decreasing order.\nAnswer: 5, 1\/21, -0.4, -6864","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9843 divided by -15?\nAnswer: 3281\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 488, 916, 1306, 1640, 1900?\nAnswer: 2068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**3\/7 - 147026*h**2\/7 = 0.\nAnswer: 0, 73513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/9*-3 - 433224\/4376?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2839307 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*v + 10. Let c = v - -10. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 292224 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**4\/12 + 6*c**2. Suppose 3*f - 4*f = -4*l + 10, -l = f. Calculate w(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*b + 1806 = 103*b. Let v = -900 + b. Solve v*l + 2*l + 12 = 2*a, -4*a - 5*l = 36 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214*c - 1715787 = 3144367. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from avimmxmmmivlaliama. What is prob of picking 1 m and 2 a?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-310)\/(-124)*(-12)\/(-10)*465\/(-45)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -344205*l**2 + 6*l**3 + 344205*l**2.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -474617, -474564, -474509, -474452, -474393, -474332?\n\"Answer: k**2 + 50*k - 474668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -30, 44, 0.1, -0.022?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*m + 73*m + 708 = -1333 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1371475 - 1110348 = -235*f + 4775212. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/10 of a millennium?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 1:30 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 7 = -3. Let v(h) = 3*h - 4. What is the least common multiple of v(2) and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-4 + 5 + 0) - -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*-1*(-3 - -2). Suppose 4*r - 4*a - 692 = 0, 2*a - 176 = -r - w*a. Suppose 0 = 4*l - 0*l + 3*g - 141, -3*g = 5*l - r. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*a - 40*a - 223 - 129. Sort a, 16, 5 in decreasing order.\nAnswer: a, 16, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25751165 and 3320.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1190, -2402, -3640, -4904, -6194, -7510, -8852?\n\"Answer: -13*a**2 - 1173*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 566131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -108655*j**2 + 159940?\nAnswer: -217310*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 400*w**4 + 40*w**4 - w**2 + 27 + 318*w**4 wrt w.\nAnswer: 18192*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2. Let l(c) = -4*c**2 + 77*c - 292. Let p be l(14). Suppose 2*s = s. Let k(g) = -p + s - 3*g + 12 + 3. What is q(k(v))?\nAnswer: 18*v**2 - 156*v + 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**2 - r + 490 + r + 162 + 391 to the form t + c*r + o*r**2 and give t.\nAnswer: 1043","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -2.1, 4\/255, 275?\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -960\/1639 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -21*0.09\nAnswer: -1.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 460.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1331*l + 661*l + 1 + 688*l - 1.\nAnswer: 18*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -532, -634, -470, 236, 1760, 4378?\nAnswer: 8366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5377d (base 14) to base 5\nAnswer: 22424140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 1273*i**2 + 1273*i**2 - 16*i**3 + 9.\nAnswer: -16*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -4. Let s be h\/(-3 + 1)*-3. Do 0 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7900 and 24095?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 s when two letters picked without replacement from oslolgmll.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/(-9)*-3)\/(1\/(-10499)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35.31 + -35. Let o = 0.04 + m. Let i be (-2)\/7 - (543\/(-42) - -13)*38. Which is the third biggest value? (a) o (b) i (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2842 divide 21960134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4898530, 4898532, 4898534, 4898536, 4898538?\n\"Answer: 2*s + 4898528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*d + d**2 + 0 + 5\/4*d**4 - 2*d**3 - 1\/4*d**5.\nAnswer: -d**2*(d - 2)**2*(d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 + -6.5. Let w = -6.5 - h. Put 0.3, -0.1, w in descending order.\nAnswer: w, 0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49358 and 130906.\nAnswer: 3010838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214*k**2 - 7 - 4 - 6.\nAnswer: -214*k**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 - 0.3. Suppose -4*w - 6 = -2*r - 20, -5*r + 5*w = 30. Let h(k) = -k**3 - 4*k**2 + 6*k + 7. Let u be h(r). What is the nearest to y in 5, u, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and 0.763.\nAnswer: 3.763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -4. Suppose -2*n - x*n + y + 8 = 0, 0 = 3*y - 12. Suppose 0 = -5*g - 2*h + 28, -2*h + 1 = g + n*h. Solve -2*o + g = -4 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**5)\/r**(-2))**46\/((r**(-1))**(-2\/13))**(-8\/7) assuming r is positive.\nAnswer: r**(-8356\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 22 = 6*r - r, 5*k = -2*r + 2. Let q(x) = -2*x**k + 6*x**2 - 7*x**2 + 4*x**2. Let t(n) = -7*n**2. Calculate q(t(l)).\nAnswer: 49*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 6 + p + 5*p - 2*p - 3*p. Let c be d(-6). Let w(a) = a + 0*a - a**2 + c*a**2 - 2*a + 1. Calculate w(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2856594472 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 245 + -153. List the prime factors of b.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18.193 + 18.1. Round w to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = b - 70, -b - l + 195 = b. What is the lowest common multiple of (-540)\/(-76) + 5 + (-10)\/b and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -39*y**2 - 431*y - 14. Determine j(-12).\nAnswer: -458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + g**2 + g - 1. Let m(x) = -4*x**3 + 11*x**2 + 6*x - 4. Let t(p) = m(p) - 5*n(p). Let h = 2 - -1. Suppose h*q - 3 + 21 = 0. Give t(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 51689006 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10034 (base 6) to base 8.\nAnswer: -2446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/1)\/(-6)*7\/(14\/50)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**4 - 249*m**3 + 21*m**2 + 5*m - 708.\nAnswer: 12*m**2 - 1494*m + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5\/47 (b) -46 (c) -4 (d) 2 (e) 4 (f) 3 (g) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/65110 and -11\/13405?\nAnswer: 455770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/9)\/((-1)\/(-3)). Let f(l) = l + 2 + 0*l - d. Let u(v) = -v**2 - v + 1. Let n(k) = -6*k**2 - 7*k + 7. Let m(o) = 4*n(o) - 28*u(o). Determine m(f(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 4*q - 5*l = 1158, -q + 388 = -l. What is the greatest common divisor of 153 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -35 + 26 + -1 + 6 + 7. Let o(m) be the first derivative of -7\/3*m**w - 1 + 0*m**2 - 28*m. Find the first derivative of o(f) wrt f.\nAnswer: -14*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12471?\nAnswer: 3, 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112 and 376.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*a**2 - 2862 + 5658 + 2*a - 2829 to d + z*a + l*a**2 and give d.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24601052.\nAnswer: 2, 7, 878609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22840 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -71e3ab (base 15) to base 11\nAnswer: -3068964","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 26765*l. Let v(t) = -5*t. Determine 2*i(k) + 11110*v(k).\nAnswer: -2020*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {x: 7, t: 4}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -1783.\nAnswer: 9\/1783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 2 + 22. Let r be -1*v\/(1*-2). Let z(g) = -g**2 + 67*g - 631. Let a be z(55). Solve a = -r*b + l, 4*b - 5*b + 11 = 4*l for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -5*f**2. Let l(u) be the third derivative of u**5\/60 + 17*u**3\/6 + 9*u**2 - 7. Give k(l(w)).\nAnswer: -5*w**4 - 170*w**2 - 1445","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z**2 + 4*z + 3. What is d(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -383484, -383497, -383524, -383571, -383644, -383749, -383892?\nAnswer: -384079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3704670 and 32490?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1016.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**4 - 448323864*d**3.\nAnswer: 4*d**3*(d - 112080966)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4\/9)*x\/((x*x**(6\/5)*x*x*x*x)\/x))\/(x\/(x**3*x)*x)**(-16\/7))**(-4\/7) assuming x is positive.\nAnswer: x**(11612\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100111010101 (base 2) to base 3.\nAnswer: -202022100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(-8)\/(-70)*77\/28?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(605) + -1*sqrt(605) + -1 - -4*(sqrt(605) + 0)) + ((1 + sqrt(605) + 1)**2 - sqrt(605)*2*4).\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b + 45*h - 399, 5*b + 3*b - 112 = 4*b + 4*h - 136 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 853529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most as big as -2207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -15*f**5\/4 + f**4\/12 - 2*f**3 - 4*f**2. Let u be b(6). Round u to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*g - 44344483 + 44341823 = 25*g for g.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-4*((-16)\/32)\/(9\/(-18)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17542 and 74?\nAnswer: 649054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (10\/36*-3)\/(1\/11) and -7\/58.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 3245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 0.3. Let o = 0.08 - -0.42. Let p = 0 - 0. Which is the closest to p? (a) -2 (b) o (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -1\/3*c**7 + 0 + 1\/3*c**4 - c + 0*c**2 + 0*c**5 + 0*c**6 + 0*c**3. Find the third derivative of b(l) wrt l.\nAnswer: -840*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102534 (base 7) to base 13.\nAnswer: -8115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 713 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221829405 + 221829405 - k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/4 - 311971*j\/2 + 623943\/4.\nAnswer: -(j - 1)*(j + 623943)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t - 4. Let z be s(-3). Suppose -z*g = -2*f + 16010, -g + 0*f = 2*f + 7990. Round g to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -97161\/20 - -4862. Let t = 98291\/14 + -7017. Calculate the common denominator of l and t.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 8 = -o, 2*o - 3*o - l - 1 = 0. Let k(m) = m**3 + 3*m**2 - 3*m + 2. Give k(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9038.804 + -9039. Which is the third smallest value? (a) -1 (b) v (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + 294. List the prime factors of i.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*n + k = 109*n + 38, k + 82 = 5*n. What is the highest common factor of n and 2334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -357*s. Let q(u) = 159*u. Let r(o) = 4*d(o) + 9*q(o). Let z(i) be the second derivative of 29*i**3\/3 - 28*i. What is r(z(g))?\nAnswer: 174*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2 = -2*d, 3*k = 2*d + 7 + 7. Let g be (3 - k)*(-10 + 2). Let c(y) = -y - 11. Calculate c(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 3*n**2 - 4*n + 8. Let z = -175 - -179. Give w(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -7*w. Give a(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**3 + 1706*y**2 - 1700*y - 3408 = 0?\nAnswer: -1, 2, 852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/4 - (-46)\/8. Let p(l) = 2*l - 4. Calculate the smallest common multiple of 12 and p(v).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 7*d + 6. Calculate w(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 2*d + 3. Let c(a) = -2*a**2 + 4*a + 6. Let s(t) = -4*c(t) + 7*x(t). Let j be s(-1). Solve 0*r + 3*r + 12 = j for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 34, -0.5, -2\/193, 2\/11, 50, -3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298312284 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 119473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + q - 10. Let i be d(5). Let p(b) = -14*b + 44*b - i*b - 9*b. Let v(x) = 3*x. What is v(p(m))?\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 + 32161 + 6*t**2 - 4*t**2 - 5*t**2 + 5*t.\nAnswer: -2*t**2 + 5*t + 32161","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - -29. Suppose 33*w - 127*w = -3102. Calculate the smallest common multiple of z and w.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -271 - -273. Let p be -1*4\/(16\/(-20)). Suppose -u = 2*o - 73, p*o + 27 = x. Is u a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3 = -7. Let y be 2*(-2 + (-5)\/(-2)). Suppose -6*d = 31 - y. Sort j, -2, d.\nAnswer: d, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -5*k + 8. Let v(f) = f**2 - f**2 + f + 7*f**2 - f**k. List the prime factors of v(-3).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -418*a = -399*a + 19. Which is smaller: a or -7\/10?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -11*w + 4. Let x(l) = 32*l - 12. Let t(g) = -16*g + 6. Let v(u) = 7*t(u) + 4*x(u). Determine 5*v(n) + 7*y(n).\nAnswer: 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -5*n - 13. Let i be r(-3). Let d = -132.9 - -84.6. Let h = -48 - d. Which is the nearest to -1? (a) i (b) h (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -1. Let k(u) = 9*u + 10. Let l = 6635 - 6636. What is l*k(r) - 6*b(r)?\nAnswer: -9*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -24. Find the common denominator of (-12)\/(-40) - (a - -1) and 57\/44.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-7 - 1) - -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -212145 less than or equal to -212145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1903276148 to the power of 1\/2, to the nearest integer?\nAnswer: 43627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-115)\/(-138)*4\/((-8)\/(-3)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.192516 to 3 decimal places.\nAnswer: 0.193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-1 + 3)) + 3 + 70 + -63\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5567 and -59140006?\nAnswer: 59134439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 - 47. Let d be ((-1)\/2)\/(z\/88). Suppose 2*k + 3*h + 1 + 2 = 0, 0 = -2*k + 4*h + d. Solve -w - 3*s + 16 = k, 7*w - 4 = 3*w + 3*s for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -12. Let u(n) = n**3 + 8*n**2 + 7*n - 4. Let q be u(-7). What are the prime factors of (-58)\/w - q\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 6, 39 - 57 = -4*d - 3*r. What is the greatest common factor of 11 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of p**4\/12 + 11*p**3\/6 + 2*p**2 + 5*p. Let k be r(-11). Suppose -a - k*a = -125. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16225459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-20))**(41\/4))**20 assuming s is positive.\nAnswer: s**(-4100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 63\/28 + (-1)\/4. Let l(i) = -8*i - i**n + 0*i**2 + 0 - 6 + 0. Determine l(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**3 - 9*j**2 + 2*j + 3. Let r(g) = 7*g**3 - 19*g**2 + 3*g + 7. Let v(h) = 2*r(h) - 5*x(h). Calculate the remainder when v(6) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 4*m - 12. Let q(z) = -2*z**2 + 6*z + 25. Let b(h) = -5*g(h) - 3*q(h). Let j be b(-7). Calculate the greatest common factor of j and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3219181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**3\/3 + x**2\/2 - x + 26. Let j(q) = -6*q - 36. Let d be j(-6). Let b be 3*3\/(-36)*d. What is i(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 2:26 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 3 - 2)*(-1 + 1 + 2) - 6 + 1 + 3 - 4 - 14 + 9)*(3 + p - 3)*(0*p - 2*p + 4*p).\nAnswer: -42*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 805.5825nm in millimeters?\nAnswer: 0.0008055825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16.999974 - -17. What is q rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 306 times -0.009?\nAnswer: -2.754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**3 - 3*c + 1. Suppose z = 2*z - 4. Suppose -s + z = s. What is the remainder when d(s) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129 + 31 = 14*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -177889, -357410, -536931, -716452, -895973, -1075494?\nAnswer: -1255015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13*((-3)\/(-6)*-2 + (-248)\/(-217))?\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 654450.2 grams to nanograms.\nAnswer: 654450200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1265\/759)\/(5\/(-6))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.08065 and 51\/74 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3888, -2, -2\/5.\nAnswer: -2, -2\/5, 3888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*d**4 + 20*d**3 - 58*d**2 + 1 wrt d.\nAnswer: -144*d + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 1300)*(-1 - -21). Round o to the nearest one thousand.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -24, -32, -52, -90, -152?\n\"Answer: -b**3 - b - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 2 = -2*h. Let l(i) = i**3 - 5*i**2 - 7*i + 6. Let z be l(6). Find the third derivative of -2*u**h + 2*u**2 + z*u**2 + u**4 wrt u.\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-75))\/(3\/(-183)*1).\nAnswer: 61\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 3\/5 (c) -1357\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 69*i + i**2 + 10*i**2 - 3*i**3 - 67*i - 2*i**2 to q + t*i + c*i**2 + s*i**3 and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/33 (b) 2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-1)*(-11)\/44*-6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -5, 12\/11, -2?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fu when two letters picked without replacement from {f: 3, u: 7}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 6*z - 8. Let q be g(-6). What is the common denominator of (152292\/(-4144))\/(9\/(-2)) and (q\/(-54))\/(-1) + 2?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -61 - -1?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (91\/1365 + 1094\/15)*317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 5*l**4 + 140*l**3 - 3745*l**2 + 3600*l = 0.\nAnswer: -45, 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 3:01 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(3*n - 2*n + 8*n)*(-3*n + 4*n + 2*n).\nAnswer: -54*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -29*h**2. Let c(o) = -5*o - 13*o - 15*o - 11*o. Give c(u(g)).\nAnswer: 1276*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 697*y**3 - y**2 + 92*y?\nAnswer: 4182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19926 = -4*n - 6*p + p, -5*n - 24924 = -2*p. Let k = 28484 + n. Round k to the nearest 1000.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1061 + 2071 + 1654*h - 1011 to the form b*h + s and give b.\nAnswer: 1654","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - ((-299 - -301) + -12 + -2 + 4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -4*o + 14. Suppose -3*y = 5*i + o, 5*y - 23 = 4*i + 17. Suppose -y*g + 9*g - 415 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/55)\/(12\/(-10))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 0.2 (b) 2\/13 (c) -0.145\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28547274 to the power of 1\/3, to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w\/(w*w**(-2)*w*w*w*w)))**(-3\/2)*w*w**(-1)*w**(2\/13))\/(w\/w**(-8)*w\/w**(-3)*w*(w**(-1))**(-41)) assuming w is positive.\nAnswer: w**(-752\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4577285*p**2 - 25109828*p wrt p?\nAnswer: 9154570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w\/w**20)\/w)\/(w\/(w*w*w**(-2\/3)))*w\/(w*w\/(w*w*(w\/(w**(-2\/7)\/w*w)*w)\/w))*w*(w*w**13)\/w assuming w is positive.\nAnswer: w**(-50\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3.1 and 30.\nAnswer: 26.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -36*t. Let v(n) = 27*n - 1. Calculate v(y(w)).\nAnswer: -972*w - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 965826623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 9*n - 8. Calculate i(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1014\/2486335 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 365 - 376 - (0 - 2) - -22?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q - q + 0*q + (-4 + 0 + 0)*(6*q + 2*q - 4*q).\nAnswer: -18*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.15 + 8.15. Let z = t - 8.5. Let g = 75 - 75.6. Which is the third biggest value? (a) g (b) -4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7880021*i + 7880030*i + 49 - 641 as q + r*i and give q.\nAnswer: -592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 373\/2? (a) 2 (b) 1 (c) 2\/19 (d) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11665 times -4.929?\nAnswer: -57496.785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.053 in 0.1, -5, -3, -1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 0, 21, -23, -12 in descending order.\nAnswer: 21, 3, 0, -1, -12, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a decade?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 115 and 14720?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 10*t**3 - 2*t**2 - 6*t + 5. Let p be h(5). Suppose 5*z - p = -13*l + 8*l, 0 = z - l - 233. List the prime factors of z.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17076 divided by -13286?\nAnswer: 8538\/6643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-21)\/(-28))\/((-3)\/(-2)). Which is the nearest to 0.1? (a) 4 (b) o (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 2) to base 5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1027, -2380, -4501, -7762, -12535, -19192, -28105, -39646?\nAnswer: -54187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19920 - 10342. List the prime factors of v.\nAnswer: 2, 4789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 7*g**3 + 3*g**2 + 3*g + 6. Let u(j) = j**3 + 1. Suppose -8*a - 2*a = 60. Let b(h) = a*u(h) + p(h). Give b(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -55 + 46 - (-23 - (-44 + 25))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f**2 + 41*f. Let q(n) = -n**2 - 10*n. Let c(j) = 2*l(j) + 9*q(j). Let i be (9\/(10 - 1))\/((-3)\/15). Calculate c(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 158151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 17 + 2 + 0 - 9 - -26) + 0.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00018905 rounded to 6 dps?\nAnswer: 0.000189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h\/h**(-1\/3))\/h*h))**10\/(((h*h**1*h)\/h)\/h)**(3\/8) assuming h is positive.\nAnswer: h**(-89\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 15*i + 1712 = 4*v, -3*v - 5*i + 1284 = 0. Is 23 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136348099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2634827143 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2202202002 (base 3) to base 7\nAnswer: -314600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 732001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o - 9. Let z be g(-7). Suppose 0 = z*q - 120 - 70. Suppose 4*h - 102 = -q. What is the remainder when 45 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 5*x + 29. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uihie. What is prob of picking 1 h and 1 i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*r**3 - 19\/5*r**2 + 0 - 4*r.\nAnswer: r*(r - 20)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 3*l - 6. Suppose l*x - 4*x = -2. Suppose -4 = -y - x. Solve -r - 5*g + y*g + 7 = 0, r + g = 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 59*h**7\/7 - 2*h**3 + 21. Find the third derivative of r(f) wrt f.\nAnswer: 7080*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -821 * 1987.\nAnswer: -1631327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-1)*(-6)\/2. Let f be 29*12*(-10)\/c. Suppose 0 = -g + 3*g - f. Round g to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2886 and 25622870.\nAnswer: 962","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -137, -3?\nAnswer: -137","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r\/((r\/r**(-13))\/r*r))\/r)*r**(-1\/4)\/r)\/(r**(2\/7)*r*r)**(5\/4) assuming r is positive.\nAnswer: r**(305\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 3 + 5)*(1 - 1 - y) as u + j*y and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**4*u\/u**(2\/5))**12)**(-47))**21 assuming u is positive.\nAnswer: u**(-272412\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-24))\/(33\/(-4)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 835?\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -74 + 11. Let o be (84\/z)\/(4\/(-6)). Suppose o = -4*a + 3*a. Put 4, -4, a, -3 in increasing order.\nAnswer: -4, -3, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -112 - -114. Let x be 3*(p\/(-10))\/(33\/(-110)). Solve -4*u = -5*o + 7, -x*u = -u + 5*o + 8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - (-1*sqrt(153) + sqrt(153))*1 - (((-2*sqrt(153) + sqrt(153) - sqrt(153))*5 - sqrt(153)) + sqrt(153)))\/(1*2*sqrt(144))*4.\nAnswer: 11*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 + (3 - 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*n**2 - 1130 + 5*n - 26*n**2 + n - 1129 + 2257 to o*n**2 + g*n + s and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - m = -338, 313*k + 4*m + 298 = 316*k. Calculate the remainder when 1439 is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*z + 1 + 2 - 4*z**3 + 4*z**3 - 4*z**3 + 2*z**3 to m*z + n*z**2 + v*z**3 + f and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -34012445 - -24?\nAnswer: -34012421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 817*y**4\/4 + 2*y**3\/3 - 21*y**2\/2 - 887. Find the third derivative of h(o) wrt o.\nAnswer: 4902","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -1)\/(-10*(-44)\/(-935))\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17087 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of g**3\/6 - 17*g + 53. Let m(h) = 21. Calculate -2*d(l) + m(l).\nAnswer: -2*l + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168 + 1.313152038.\nAnswer: -166.686847962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.2? (a) -4 (b) 109089\/8 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a kilometer in meters?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0.2, 2, -3\/2, -0.11 in descending order.\nAnswer: 6, 2, 0.2, -0.11, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of 11*h**5\/20 - h**4\/12 - 11*h. What is the third derivative of m(f) wrt f?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - i - 9 = 0. What is the second derivative of -3*r**5 + i*r**5 - r - r**5 - 4*r**5 wrt r?\nAnswer: -100*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128514215.\nAnswer: 5, 47, 546869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 890\/29 equal to 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**4 - 7*v**3 + 237*v**2 - 612. Let o(f) = -2*f**3 + 79*f**2 - 204. Let q(z) = 7*o(z) - 2*p(z). Find the first derivative of q(a) wrt a.\nAnswer: -8*a**3 + 158*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9779 - -1104. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6478822\/9 = 719869?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 561?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*c = -98*c - 6*x + 112, -3*x + 3*x + 31 = -c + 3*x for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1025760 and 384660?\nAnswer: 3077280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (111 - 136 - (-16 - -2)) + -2 + 76\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2*o + 1 + 2*o + 2*o - 3*o + (o - 2*o - o)*(2 + 3 - 3) + 12 - 12 + 40*o)*(19 + 23 - 7) to r + c*o and give c.\nAnswer: 1225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7818.26 + -7715. What is z rounded to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(7\/1 + 621\/(-46))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3412?\nAnswer: 2, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1944824 divided by 486206.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*u**2*y**2 - 7710869*u**2*y - u**2 - 17*u*y**2 - 5778*y**2 wrt y?\nAnswer: 6*u**2 - 34*u - 11556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44928002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 r when four letters picked without replacement from {r: 1, h: 7}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1330279851 to the nearest integer?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, n: 4, l: 5}. Give prob of picking 1 l, 1 n, and 1 a.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.01 - -2.01. Let p = -33 + x. Let v = p - -31.2. Are 5 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuuu when four letters picked without replacement from quuuuqq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1995+-104276\nAnswer: -102281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1742492698 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(2\/7))**19\/(f**(1\/3)\/f)**(-36))\/((f\/f**(-3\/11))\/(f\/f**7*f))**1 assuming f is positive.\nAnswer: f**(-1286\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 4. Is 21 a factor of 78 + (u + 0)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 11:51 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15291*g**2*h*r - 2*g**2*h + 2*g**2*r**2 - g**2 + 2*g*h*r**2 + 2*g*h*r + 247572*r wrt g?\nAnswer: 30582*h*r - 4*h + 4*r**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 530 is divided by 257.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 - 21. Suppose 5*p + 270 = 5*n, -n + 55 = 2*p - m. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 35*d**2 + 2*d - 6. Let f(h) = 79*h**2 + 3*h - 12. Let v(q) = -4*f(q) + 9*p(q). Calculate v(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 38146214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*v = -5*t, -3*v + 20 = t. Suppose 6*l = t*l + 1. Let y(w) = -30000*w. Let g be y(l). Round g to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-107)\/(1880418\/1616)*(-1)\/(-4).\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5 + (1*4*sqrt(204))\/sqrt(12) + 1*5*sqrt(1377)*-5).\nAnswer: 25 + 1105*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((16\/(-4))\/2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - 0) + (-55 - (10 - 44)) + 15.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -5. Let z be (-1)\/(-4) - 106\/d. Let a = z - -21. What is the greatest common divisor of 40 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*g + 39*g = 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3289.999998659 + -3290. What is x rounded to seven decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004735 rounded to 7 decimal places?\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 + 47 = 13*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 14 = s - 4, -4*s - 4*c = 8. Suppose 4*t = 2*f + 341 + 767, s = -4*t - f + 1102. Suppose -t = -7*p + p. What are the prime factors of p?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269.2 <= 1\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1230 - 1228. Solve -24*d + 25*d - 1 = -2*s, -2*d = j*s for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 j, and 2 a when four letters picked without replacement from jaaaaaajacaaaeaaa.\nAnswer: 39\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 82461 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than 0.39599?\nAnswer: -0.10401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 121120120000 (base 3) to base 7\nAnswer: 2526135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2858*-52\nAnswer: -14.8616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-4)*24\/(-20). Let r(k) = -2*k**3 - 2*k**2 + 3*k + 5. Let f(t) = -2 + t**2 - 5*t - 7 + 2*t**2 + 4*t**3. Calculate v*f(y) - 5*r(y).\nAnswer: -2*y**3 + y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(150) - sqrt(6)) + sqrt(294) + (sqrt(294)*-2 - sqrt(294)))\/(-4*sqrt(2)*2 - (sqrt(2) + (sqrt(72)\/sqrt(3))\/sqrt(12) + sqrt(2))).\nAnswer: 30*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-264)\/(-27))\/1 + (-70)\/(-315)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 36. Let i(w) = 21*w. Let y(v) = 2*v. Let c(z) = 2*i(z) - 22*y(z). Give m(c(d)).\nAnswer: -4*d**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-21)\/(-14) + (-27)\/(-6) + 1. Let l(v) = v**2 - 11*v + 29. Let c be l(d). Solve -3*a + 4*a = c for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/6)*f)\/f**(1\/3))**(5\/2)\/(f\/f**3*f**(-1\/8)*f*f*(f*f**(-5)*f)\/(f**(2\/13)*f)) assuming f is positive.\nAnswer: f**(575\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) -1\/2 (b) -2 (c) 1 (d) 0.3 (e) 33.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -861 - -812. Sort 0, -1, -5, x.\nAnswer: x, -5, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(70) + 4*-1*sqrt(70))\/(-1*(sqrt(10) + sqrt(20)\/sqrt(2))) - 2*(sqrt(847) + sqrt(847)*2*-1)**2).\nAnswer: -8470 + 15*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 136687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 376 a factor of 1655704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1104\/(-3864) - 72\/(-7))\/(-14).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27579?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.1, 7 in descending order.\nAnswer: 7, 0.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 + 24*z + 144.\nAnswer: (z + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 31*u + 515. List the prime factors of c(23).\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12125.77 to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 13 = 2*p, -67*p = 3*m - 64*p + 15. Let f(w) = 2*w - 1. Calculate f(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 2859.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -11 + -9 + -3 - -15\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((990\/(-75))\/(-22))\/(2\/(-15)))\/((-33)\/(-308))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 22 - 281*j + 112*j + 145*j - 22. Let q(z) = 2*z - 290. Give s(q(d)).\nAnswer: -48*d + 6960","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*d**2*l**3 + d**2*l**2 + 75613*d**2*l + l**3 + 10*l**2 wrt l.\nAnswer: 60*d**2*l + 2*d**2 + 6*l + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-two fifths of a gram?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4249568, 4249567, 4249566, 4249565, 4249564, 4249563?\nAnswer: 4249562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 5*v = -10, 12 - 4 = 2*k - 4*v for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12827 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-82)\/(-9) + 69\/(-621).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16425)\/(-1825)*16\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.35 and -9.82868905121.\nAnswer: -10.17868905121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-3\/16)*q**(-10)*(q**(-1\/11)*q)\/(q\/(q**(-13)\/q)))**49 assuming q is positive.\nAnswer: q**(-200753\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 515, 405, -141, -1123, -2541, -4395?\n\"Answer: -218*y**2 + 544*y + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*b + 616 = 24 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 429*g**2 - 61*g - 9. Let l(j) = -430*j**2 + 60*j + 11. Let n(f) = -5*l(f) - 6*m(f). What is the second derivative of n(t) wrt t?\nAnswer: -848","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 0) + (-45)\/6*(-8)\/10\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6147 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + y = -2*t - 30, 5 = -5*y - 5*t. Solve y*b = -4*l - 4, -15 = 5*b - 3*l - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 156*d. Let p(g) = -5*g**2. Give x(p(u)).\nAnswer: 25*u**4 + 780*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 6*x**2 - 2*x**2 - 2*x**2 - 5*x**2 - 7. Let t(p) = 2*p**2. Determine l(t(k)).\nAnswer: -12*k**4 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 3*i = 3 - 25, 0 = -3*i + 12 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*d + d**3 + 2*d**4 - 2*d**3 + 2*d - 2 - 7*d**2 + 6*d**2 to p + h*d**4 + s*d**2 + r*d + o*d**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 3*y + 7, -5*y = -s + 2*s + 17. Let n = 6 - 2. Let w be (4\/8)\/(1\/n). Sort 4, w, s in decreasing order.\nAnswer: 4, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t + 8153 - 8257 = 0 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.3, -2, 0, 0.1, 4, 14567 in decreasing order.\nAnswer: 14567, 4, 1, 0.1, 0, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37371120 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -85 - 13. Let m = -49 - f. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(5\/(-50) - 4\/(-8)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 12*n**2 + 13*n + 10. Let d be (-2 - (3 + -10)) + 5 + 8. Suppose 5*z + 7 = 4*g - 32, 0 = 2*z - g + d. Determine r(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**3 + 3427512*k**2 + 3427533*k - 20565090 = 0.\nAnswer: -3, 2, 1142505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 34*o - 21. Let d(s) = 2*s - 161 + 4*s**o + 5*s + 168 - 3*s**2. Determine d(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w + 1. Let t(c) = -33*c - 31. Let n(j) = j + 1. Let v(q) = -6*n(q) - t(q). Let d(x) = 3*m(x) - v(x). What is the derivative of d(a) wrt a?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 5*m - 10. Let u be p(-7). Find the second derivative of -6*n + 7*n**2 - u*n**2 + 3*n**2 wrt n.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1971 is divided by 493?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((96\/924)\/2)\/(-6*5\/35)\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7186803 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m + 20*m = 20. Suppose -3*f + 7*f - 19 = w, 29 = m*f + 4*w. Suppose 129 = a + a + r, f*a = -3*r + 320. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60633 (base 10) to base 16\nAnswer: ecd9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11\/(-4) - 1\/4. List the prime factors of (32\/(-6))\/(b\/18).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5187*n*r*w - n*r + 9*n*w - 2*n + 62*r - 11 wrt w?\nAnswer: -5187*n*r + 9*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 457*g - 4*g**2 - 457*g + 3*g**3 to the form n + s*g**2 + w*g + a*g**3 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 307 + 307 + 6*i - 616 - 4*i. Suppose -3*c - c = -20. What is r(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 - 6*x**2 + 7*x. Let c be a(-7). Let f be 6\/(-5)*50\/(-20). Solve c = 3*k - 0 + f for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 2. Let o = -12532151\/6371001 + 2\/70011. Let x = -33\/13 - o. Which is the biggest value? (a) x (b) 3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 60\/(-14) - 2\/(-7). Let m = -16 + 20. Sort 1, m, l, -2 in ascending order.\nAnswer: l, -2, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2*sqrt(171) + (sqrt(171) + (sqrt(171) + 1)*-1 - sqrt(171)))**2.\nAnswer: 6*sqrt(19) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12210111122 (base 3) to base 15.\nAnswer: 23c12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 4*g - 23, -2*g + 323*o + 31 = -305*o + 635*o for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 10*r - 8. Calculate the common denominator of h(12) and -55\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 308 + -176. What are the prime factors of d?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*l + 1. Let y be ((-2)\/(-6))\/(l\/(-12)). Let x(g) = g**2 - 6*g + 2. What is x(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/2100 and 67\/2450?\nAnswer: 14700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of d**7\/420 - d**5\/40 - d**3\/3 - 3*d. Let q(y) be the second derivative of v(y). What is the second derivative of q(s) wrt s?\nAnswer: 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 10 = -w. Suppose -w*y - 8 = 4*m, 1 - 3 = m. Suppose y = -5*s - 5*j + 30, s - j - 3*j = -9. Let a(g) = g**3 - 4*g**2 + 3*g - 4. Calculate a(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 27ce - -242a9?\nAnswer: 26a88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1840*k**2 - 3580*k**2 - 2 + 1817*k**2)*(2*k + 2 - 2) + (-4*k - 3 + 3)*(-k**2 - k**2 + k**2) + 0*k**3 + 3*k**3 - 5*k**3.\nAnswer: 156*k**3 - 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b**2 - 122*b + 925. What is w(7)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 2*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5059850 is divided by 88769.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**5 - 1837*z**4 - 5468*z**3 + 62464*z**2 + 198144*z + 132048 = 0 for z.\nAnswer: -1834, -6, -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-50)\/(-45) + -1 - 52\/(-18). Suppose 3*c - 2*n - 152 = 55, -4*n = -3*c + 213. Let g = -67 + c. Solve -5*v + w*t = -25, g = v - 5*t + 1 - 28 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 531 = 2*z. Suppose 124 = 3*h - z. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4257.43 rounded to the nearest one hundred?\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.016705 times -0.01?\nAnswer: 0.00016705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001106708 to six decimal places.\nAnswer: 0.000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/2)\/(-1 - 3 - -3). Put l, 2, 5 in decreasing order.\nAnswer: 5, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 + 997*v - 997*v.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6712*f - 3 - 5 = 2*x - 6708*f, 0 = -2*x - f - 14 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-1)*5\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhd when three letters picked without replacement from {h: 8, d: 6, c: 3}?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2194*p + 2189*p - 10 = -d, 4*d = -5*p - 35 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**3 + 720*u**2 + 1434*u + 716 = 0.\nAnswer: -358, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 23932651?\nAnswer: 23932656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -3*i**2\/2 - 5*i + 853. Let y(c) = -7*c - 11. Calculate -9*h(v) + 4*y(v).\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.2 - -3.2. Which is the biggest value? (a) u (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -9*r**2 + 150*r + 54. Let p be v(17). Factor 3\/7*s - 1\/7*s**2 + 1\/7 - 3\/7*s**p.\nAnswer: -(s - 1)*(s + 1)*(3*s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273 = -6*u - 21. What is the greatest common divisor of 21 and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r\/r**1)\/r))**(-35)*((r\/(r*r\/(r\/((r**(-1)\/r)\/r))))\/r)**(-6\/19))**11 assuming r is positive.\nAnswer: r**(-14762\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2620103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 1:26 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*sqrt(30)*-2)\/(sqrt(640)*1*4).\nAnswer: -3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12412183?\nAnswer: 7, 31, 47, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15\/3 - (-8 + 8 + -1829) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -216.09 - -217. Let t = -0.09 - f. Let s = t + 1.2. Do s and 2\/15 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21564169 is divided by 168470?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 502 is divided by 135.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3420)\/(-1995)*(-14)\/10.\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q\/((q**(-16\/5)\/q)\/q))\/q)\/(q\/(q\/q**(3\/5)))*(q**(-8))**(-47))**5 assuming q is positive.\nAnswer: q**1908","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-5)*(-40)\/16.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5*s + 3922 = -6265, -40898 = -4*f + 5*s. Is f a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -254 + 254 - 50*h + (1 + h - 1)*(-1 + 2 + 1) to the form s + m*h and give m.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of j**4\/6 - 73*j**2. Let b(n) = n**2 + 5*n**2 + n**2 - 6*n**2. What is b(h(x))?\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26224, -52446, -78668, -104890, -131112?\nAnswer: -157334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 17*b - 63. Let h = 16 + -13. Suppose h*y - 6 = y. Solve y*d - o - 15 = 0, -o + b*o + 5 = d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 2488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19086 and 677813842.\nAnswer: 6362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a - 4*l + 12, 3*a + 6925 - 6911 = 4*l - 2*l for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -11. Let j(p) = p**3 + p + 380000. Let h be j(m). Suppose -10*n - h = -6*n. Round n to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000929606394 rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjfjjjfjfjfffjjf. Give prob of sequence fjff.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4744 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17001 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: Express ((-10*n + 2*n + 13*n)*(n**2 + n**2 - n**2) - 1 + 2*n**3 + 1)*(0 + 3 - 4)*(-2*n - 3*n + 9*n) as r*n**2 + h*n**3 + k*n**4 + c*n + v and give k.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.3022 - 1.26317. Let c = -1.04 + o. Round c to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1509629*7.7.\nAnswer: -11624143.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*t - 5*t + 9*t)*(-1854 - 604 + 1574 - 2949) as h*t + n and give h.\nAnswer: 30664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*d - 186 = 64*d - 5*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 511636577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -856 (base 9) to base 4\nAnswer: -22323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 68*v + 56. Let y be h(-7). Let t = 443 + y. What is the greatest common divisor of 529 and t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 5*l = 13, -4*z + 5*l + 46 - 9 = 0. Solve 0*r + 9 = -z*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**4 - 5*r**3 + 5*r**3 + (4 - r - 4 + (5 - 5 - r)*(33 - 21 - 23))*(4*r**2 - 4*r**2 - 4*r**3).\nAnswer: -41*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -113 + 4 - (-633 - -552)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -104*b**3 - 184 - 2*b**2 + 182 + 101*b**3. Let p(m) = 2*m**3 + 3*m**2 + 3. What is -2*p(r) - 3*s(r)?\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 10:08 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 a when four letters picked without replacement from {a: 4, c: 2, l: 5}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 9*p - 70. Let c be (-9)\/(-135)*9 - (-37)\/5. Let k be i(c). Solve 3*t - 5*f = 8, 3*f - k = -5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - 2. Put 4, -1\/2, h in decreasing order.\nAnswer: 4, -1\/2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36298*w - 352*w**2 + 36298*w.\nAnswer: -352*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 83 + 42 = 0. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 515 - 515 - 66*y + (4*y - y - y)*(3 - 4 + 3) + 5*y - 3*y - 3*y to the form a*y + i and give a.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ufm when three letters picked without replacement from {u: 1, f: 1, a: 1, m: 1, c: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220069948 is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h**3 - 2*h**3 + 32 - 33 + h**4 + 3*h + 2*h**2 to the form k*h + d*h**4 + s*h**3 + r*h**2 + j and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -6, -1, -4, 117, 6 in ascending order.\nAnswer: -6, -4, -1, 1, 6, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -112*x - 6*x**3 + 6*x**2 - 102*x + 214*x wrt x?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2826 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -16*j - 2. Let l be -1 - 12\/(-15) - (-11)\/5. Suppose -2*q - 5 = -3*p, -5*q - l*p = -3*p + 19. Is 31 a factor of t(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -114 + (215 - 167)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12785746, 12785744, 12785742, 12785740?\n\"Answer: -2*v + 12785748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (520\/20930)\/((12\/21)\/(-2)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -20. Let c = -0.0984 + 0.1034. Which is bigger: j or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1437709 by -49.\nAnswer: 29341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 + -18. Let f = -15 + i. Let l be (-2)\/(-5) + (-84)\/135. Which is the nearest to l? (a) f (b) -4\/9 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2140630?\nAnswer: 2, 5, 214063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9\/16 of a millennium?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*j + 235 = 0. Suppose 5*c = 2*c + 84. Let l = j - c. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 345922?\nAnswer: 2, 257, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.19 take away -0.02?\nAnswer: -49.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**5\/60 + j**4\/4 - 2*j**3\/3 + 4*j**2. What is f(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -0.422 (c) 0.45 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 330 and 18?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1629, -12745, -42649, -100647, -196045, -338149, -536265, -799699?\n\"Answer: -1551*l**3 - 88*l**2 + 5*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 37*d + 53. Calculate n(-32).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76806659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5000\/225)\/20)\/((-6)\/216)*1\/1?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((9\/2)\/(-9))*-1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -12*o**2 - o + 7. Let w(d) = -3*d**2 + 2. What is 9*w(r) - 2*x(r)?\nAnswer: -3*r**2 + 2*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1890, -1710, -1526, -1338, -1146, -950, -750?\n\"Answer: 2*z**2 + 174*z - 2066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 885025?\nAnswer: 5, 35401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 12:29 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3*q. Let z(c) = 14*c. Calculate z(f(w)).\nAnswer: -42*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/707700 and 5\/77847?\nAnswer: 7784700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -16. Suppose 0 = 4*n + 3*z - 32, -n - 28 = -5*n - g*z. What is the remainder when 17 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/((-243)\/(-6))*6\/4. What is the nearest to g in 3, -4\/3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x = -12*x - 4*p + 1130, 3*x + 2*p - 3400 = 0. Is 7 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 2*f - 1. Let j = -53 + 59. Let t(b) = -38*b**3 - 12*b + 10. Let n(q) = j*m(q) + t(q). What is the derivative of n(d) wrt d?\nAnswer: -132*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5506655641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -38\/155, 132, -3\/4, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3079.8 - -3077.3086. Let t = -2.51 - g. What is t rounded to 3 dps?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.8537207 + -0.618013.\nAnswer: 6.2357077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6263 + 814?\nAnswer: 7077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 + -42. Put -2\/9, -9, u in increasing order.\nAnswer: -9, u, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 213 and 1.7?\nAnswer: 362.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 88546 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 311 (base 4) in base 8?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5293.58 micrograms to tonnes.\nAnswer: 0.00000000529358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*r - 11*r + 198 = 759 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -719\/1960 + -2\/245. Which is the closest to 2? (a) k (b) 4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/3)\/1 - -4. Let b(y) = y**3 - 9*y**2 - 9*y - 6. Let p be b(10). Let c be p\/10 + 16\/10. Solve -4*v - 9 = z, -c = -s*v - 4*z - 25 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x - 12 - 175 = -7*x for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5759007?\nAnswer: 3, 1919669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) + 2*sqrt(2057) + 3 + -1)**2 - (((sqrt(2057) + 0)*6)**2 - (1 + sqrt(2057) + -1)).\nAnswer: -55535 + 143*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 8690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 18*w + 45. Let p(k) = 91*k + 228. Let a(u) = -11*f(u) + 2*p(u). Let h(g) = 7*g + 19. Let c(v) = -3*a(v) - 7*h(v). Give c(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.046 + -1.634. What is l rounded to 1 decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 - -37. Let y(j) = -5*j**2 - 2. Let p(g) = -6*g**2 - 3. Calculate m*p(q) - 5*y(q).\nAnswer: q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -8*q**2 + 0*q**2 + 9 + 0*q**3 - q + q**3. Let o be x(8). Suppose -4 = -c + o, 4*s - c = 15. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0.2, 0.4, -1\/24, 0?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 255 = 11*k. Let q(n) = 72 - 72 - k*n. Let h(t) = -3*t**2. Determine h(q(w)).\nAnswer: -675*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 254? (a) 5\/4 (b) 0.1 (c) -30 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.51576 nanometers to meters.\nAnswer: 0.00000000951576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9852*g**3*m**3 - 8*g**3*m**2 + 3213328*g**3*m + 24*g**2*m**4 wrt m?\nAnswer: -59112*g**3 + 576*g**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -590 - -830. Let v be (-5)\/(m\/6) - (-23)\/56. Let 0 - v*p**3 + 0*p + 0*p**2 + 5\/7*p**4 = 0. Calculate p.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*i*o**3 - 517*i + 2*o**4 - 22*o**3 + 3 wrt o?\nAnswer: -12*i*o**2 + 8*o**3 - 66*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 212*b**2 + 4*b + 2. Let y be c(-1). What is the greatest common factor of 300 and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 5*t - 21, 3*g = 3*t + 295 - 298 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i + 1 + 4 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 102 and 893341096972.\nAnswer: 893341097074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 12*h**2 + 128*h + 476. Let p be k(-4). Solve -252 = -p*j + 56*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 0.429?\nAnswer: -0.0858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19589404 and 4595.\nAnswer: 97947020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25574757 by 3.\nAnswer: -8524919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 42649 to the power of 1\/2, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -95.9, -5, 1\/4, 2\/80147 in decreasing order.\nAnswer: 1\/4, 2\/80147, -5, -95.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 228585, 228669, 228809, 229005, 229257?\n\"Answer: 28*z**2 + 228557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2. Let l(o) = -5236*o**2. Calculate s(l(b)).\nAnswer: -27415696*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-8 + 2) - 0 - (-36 - (-46 + 32))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 256\/13 + 96\/13*c - 2\/13*c**3 + 0*c**2 = 0. Calculate c.\nAnswer: -4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1608*b - 1611*b + 3 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21090.6 millilitres in litres?\nAnswer: 21.0906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w**5\/2 + 9*w**4\/2 - 27*w**3 - 7*w**2 + 165*w\/2 + 117\/2 = 0. What is w?\nAnswer: -13, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17666, 17667, 17668, 17669, 17670, 17671?\nAnswer: 17672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (0 - -3) - (-5 + 4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2374\/7 - -2372\/7. What is the second biggest value in 1\/9, x, -7\/22?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8200526.\nAnswer: 2, 4100263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f*m*n**4 - 86*f*m*n**2 - 108*m*n**6 + 5*n**2 wrt n?\nAnswer: -48*f*m*n - 12960*m*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 223 = -183. What is the nearest to -15\/19 in -1\/10, a, 1, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 5*m**2\/2 - 8*m - 2. Calculate the remainder when (90\/(-35))\/(10\/(-420)) is divided by a(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*t + 329 = -43*t - 26*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 7 = 17. Let j(s) = -s - 11 + 8*s - 12*s + 7*s. What are the prime factors of j(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lm when two letters picked without replacement from llmmc?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 23*m - 56. Let r be (39\/(-182))\/((-24)\/14) + 1194\/48. What is u(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/4613 and -50\/761747.\nAnswer: 501991273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -2 + 18 - (-10 - -4).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -12 - 3. Let y = 2 - m. Let u(s) = s. Let w be u(-1). Sort w, -0.2, y in descending order.\nAnswer: y, -0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2627179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 134 + 207 + 207 + 6*v - 4*v + 80.\nAnswer: 2*v + 345","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 53857892 and 63095.\nAnswer: 269289460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + (-3 - -11 - (14 - 19))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j**2 - 10*j. Let w(x) = -6*x**2 - 12*x. Let o(r) = -6*p(r) + 5*w(r). Let q be (-1 - 1)*(-2 - 0). Let i(s) = -s + q*s + 0*s. Calculate o(i(m)).\nAnswer: -54*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**4 + 3*p**4 + 0*p**4)*(0 + 1 + 3)*(2 - 1 + 1).\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i + 168*i**2 + 27*i - 167*i**2.\nAnswer: i**2 + 36*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 9 - 1 + 58*q - 122*q + 58*q.\nAnswer: -6*q - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3494\/18303 or 0?\nAnswer: 3494\/18303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.071 * 3.\nAnswer: -0.213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -211b072?\nAnswer: -211b070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 621742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*z - 44, 4*z + 2*l - l = 116. Let m = z - 18. Calculate the least common multiple of m and 11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -i**8\/1008 + i**7\/315 - i**5\/90 + i**4\/72 + 6*i**2. Factor u(p).\nAnswer: -p*(p - 1)**3*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 83213, -5, -4 in descending order.\nAnswer: 83213, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 101 + -98. Let k(n) = -3*n**2 - 347*n - 2890. Let h(l) = 2*l**2 + 173*l + 1445. Let f(w) = m*k(w) + 7*h(w). Factor f(b).\nAnswer: 5*(b + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 5*b + 200. Let q be b\/22 + (3 - 5). Let d = -3.346 - -0.346. Sort d, q, 1\/6.\nAnswer: d, q, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -t**7\/21 + 431*t**6\/25 - 42596*t**5\/25 + 99338*t**4\/15 + 304128*t**3\/5 + 65536*t**2 - 7579*t. What is n in v(n) = 0?\nAnswer: -2, -2\/5, 5, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 275 + -107. Let m be (a\/(-16) - -10)\/(82\/(-28)). Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -313*u - 369*u + 1323*u - 331*u - 315*u.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010221222 + 222202010?\nAnswer: 2010201002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than -1.453540797?\nAnswer: -4.453540797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -800029, -1601532, -2403037, -3204544, -4006053, -4807564?\n\"Answer: -c**2 - 801500*c + 1472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -142\/7 - -20. Let p = 9.6 - 10. What is the closest to 2\/7 in p, o, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 171*n - 22740. Let u be 114\/27 - 2\/9. Suppose 0*l + 28 = 3*a + 2*l, -u*a + 4*l + 4 = 0. Calculate the remainder when a is divided by k(133).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/14 and 97\/44948?\nAnswer: 314636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2431115 greater than -2431117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 16896, 16891, 16886?\n\"Answer: -5*l + 16901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**4\/2 + 13*c**3 - 203*c**2\/2 + 221*c - 132 = 0.\nAnswer: 1, 2, 11, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 8:50 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + v + 1. Let l(u) = u**5 - u**5 - u**5 + 1 - u**2. Let r(j) = -4*l(j) + 4*s(j). Find the second derivative of r(f) wrt f.\nAnswer: 80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**5 - 6204*q**4 - 772192*q**3 + 1569216*q**2 = 0.\nAnswer: -2972, -132, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -396*g**2 - 642*g**2 - 239*g**2.\nAnswer: -1277*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l + 1. Suppose 5*x + 19 = 2*k, 2*x + 5*k - 6 = -2. Let i = x + 2. Let o(u) = 1 + 2*u + 2 - 4*u + 0. Calculate i*o(a) + d(a).\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 2114?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 299 - (-3 - (2 - 5)). Let c = i + -294. Let t(z) = -2*z + 8. Determine t(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 3:44 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 23*n**3 - 2*n**2 + 1. Let w be h(1). Suppose -2*l - 1 = 5*k, 2*k = -0*l + 2*l + w. What is the remainder when (-5 + 1)*50\/l is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6 + 0.6. Let x = u - -0.5. Let n be 1\/(-1*(-6)\/(-10)). Sort n, 4, x in descending order.\nAnswer: 4, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1977967 - -2977967. Round s to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, -17809.6, -0.0079?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/5 + (2 - (-876)\/(-390)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(224) - -1*sqrt(224) - sqrt(224))\/sqrt(8))\/sqrt(4))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + (-3 - 5) + -2. Let b(d) = -d**3 - 7*d**2 - 3*d + 4. Let o be b(h). Solve c = -4*c - o for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 46\/10 - (-6)\/15. Is s bigger than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 34037 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -558*l**3 - 2*l**2 - 951*l?\nAnswer: -3348*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -0*y - 10. Let h(b) = 4*b - 11. Let w = -22 + 9. Let o = w + 18. Let j(s) = 2*s - 5. Determine o*j(x) + y*h(x).\nAnswer: 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 - 9*(-20)\/15. Suppose -3*a + 4 = -j. Solve n - 9 - 7 = 5*t, 3*n - a*t = 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -198619*t**2 - 1468792 wrt t.\nAnswer: -397238*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.033 + -1.003. Let r = f - 0.03. Are r and 6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 329, 328, 327, 326?\n\"Answer: -g + 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -24*v**3 - v**2 - 2*v - 1. Let a(h) = 0 + 13719*h**3 - 13720*h**3 - 2*h**2 - 1 + h**2. What is a(m) - g(m)?\nAnswer: 23*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12515*g**3 + 2 - 12577*g**3 + 24825*g**3.\nAnswer: -267*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247\/3 - (4 - 56\/12) is divided by 1\/3 - (222\/(-9) + -4).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-0.036.\nAnswer: 0.0108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -21. Let n(y) = -y**3 - 9*y**2 + 10*y + 2. Let q(s) = 3*s - 3. Calculate the smallest common multiple of n(u) and q(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -20*c - 34. Let i be l(-13). Suppose -18*z + 20*z = i. Let o = z + 107. What is the greatest common divisor of 20 and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 57, 108, 189, 306, 465, 672?\nAnswer: 933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**2 - 468*r - 10352. Give w(-21).\nAnswer: 799","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 3\/32 (c) -6 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18404888\/179 or -102822?\nAnswer: -18404888\/179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28851 + 28849 - 57707 - 104*f to t*f + v and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.575698 years in months?\nAnswer: 42.908376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, o: 5, k: 3, n: 1}. What is prob of picking 2 k?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 5*n - 215, 2*o = 5*o + 4*n - 132. What is the greatest common divisor of 10 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 12:10 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*q + 72*q - 292 = 20 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + -1 - 0\/(-2). Suppose -16 = 16*z - 64. Solve i*b = b + z for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -49*q**6\/240 + 77*q**5\/120 - 2*q**4\/3 + q**3\/3 - 3*q**2\/2 - 2*q. Let p(j) be the first derivative of m(j). Factor p(c).\nAnswer: -(c - 1)*(7*c - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -336 greater than or equal to -334?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(4 + 0 + -2). Suppose 2*z - 12 = 4*f - 228, -f = -3*z - 59. Suppose -3*p + f - g = 0. Is p a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 + -15. Suppose -3*s - 2*o = -2*s - t, -s = -o - 21. What is the remainder when s is divided by (-5)\/((-15)\/33) - 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -156 - -124. Let g = t - -31.8. What is the closest to g in 1, -1, -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -1. Let l = g + -1. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 22 = -y, 2*y - y + 2*p = 13. Let x = y - 1. Calculate the remainder when x is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.06 - 1.74. Let q = -2 - k. Let t be 36\/528 - (-1)\/(-4). Which is the third biggest value? (a) -0.4 (b) t (c) -3 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 6 = -11*s. Let f be ((-9)\/s)\/9*-4. Solve f - 3 = r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -8*u**3 + 0*u + 28 - 39\/5*u**5 + 0*u**4 + 0*u**2. What is the third derivative of g(k) wrt k?\nAnswer: -936*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 0*j**6 + 0*j**3 - 1\/112*j**7 + 0*j**2 + 31*j + 0 + 9\/160*j**5 - 1\/16*j**4. Solve d(m) = 0 for m.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -6*t**3 - 144*t**2 - t - 23. Calculate w(-24).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m**2 - 6*m + 11. Let u(n) = 2*n**2 - 6*n + 10. Let y(g) = 3*t(g) - 4*u(g). Let k be y(-7). Solve k = 4*x - 4, -2*r - x = -5*r + 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/32248 and 59\/108837.\nAnswer: 870696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 19975 divided by -235?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 2*w**2 - 8*w - 10. Let v be k(-3). Suppose 3*r + 9 = 2*p, -r + 8 + 6 = v*p. Let t = -44 + 66. Solve 4*u - 18 = m, p*u - t = m - 2*u for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010010000010000 - -1?\nAnswer: -11010010000001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, b: 2, t: 2, c: 3}. What is prob of sequence zbt?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 3188770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4\/5 (b) -90998 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 20 = 2*h. Let q be (-4)\/(-1)*2\/h. Suppose 4*z + 5 - 1 = 0, 5 = q*g - 3*z. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 4*r - 15. Let f be m(-4). What is the highest common factor of f and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 152352, 152359, 152368, 152379, 152392?\n\"Answer: d**2 + 4*d + 152347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + -24. Is 2\/51 >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*s = -74, -o + 27 = -20*s + 17*s. Suppose 26*l - 34*l = -o. Solve 4 = -l*a + 19 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/14190 and -61\/2150.\nAnswer: 70950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1857506, 1857504, 1857502, 1857500, 1857498, 1857496?\n\"Answer: -2*h + 1857508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o - 8. Let k be c(11). Find the third derivative of 6*g**2 + 1 - 3*g**2 - 1 - k*g**5 wrt g.\nAnswer: -180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 29214 (b) 3 (c) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -36*d + 64*d - 9*d. Let s(g) = 2*g - 58. Determine s(n(c)).\nAnswer: 38*c - 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 7:37 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**3\/d**(-2\/9))\/((d\/(d\/((d*d**(1\/3))\/d)))\/d*d)**1)\/(d**(-4)\/d*d**(2\/25))**7 assuming d is positive.\nAnswer: d**(8399\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yx when two letters picked without replacement from {j: 1, f: 1, h: 5, x: 1, y: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 3\/2*o**2 + 0*o - 2\/3*o**3 - 3. What is the second derivative of i(f) wrt f?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yoluonc. Give prob of picking 1 u and 1 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-6)*(y\/((y**24*y)\/y))\/y assuming y is positive.\nAnswer: y**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 279*z + 295*z + 96, -3*r + 30 = -5*z. Suppose 0 + 0*q**2 - 2\/5*q**4 + 14\/5*q**3 + r*q = 0. Calculate q.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23356\/3 > 7784?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 - 291*v**3 + 11 + 18.\nAnswer: -291*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3fc3f (base 16) to base 5.\nAnswer: 31324213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320 = -5*m - 0*m. Let n be (m\/(-6))\/(8\/180*5). Suppose 0 = -f + 2*f + 2, -2*l = 4*f - 472. Calculate the greatest common factor of n and l.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 8. Let s = -56755135.9999997 + 56755128. Let y = s + f. Round y to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -g - l + 2511, -3*l - 12543 = -5*g. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of 9*k**5\/40 - 2*k**3\/3 + 5*k. Let q(y) be the second derivative of c(y). What is the tens digit of q(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34 - 54)*(4 - 8)\/(-8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5*l = 63, -3*g - 36 = -5*l - 168. Solve 0 = r - 2*w + 5, -g + 14 = -4*r - w for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 + 7. Let n(v) = 4*v**2 - 2*v**2 - 1258350 + 1258357. Give -5*n(i) + 6*w(i).\nAnswer: 2*i**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.09 - -4.09. Let k = -2.9 + -0.1. Let b = k + o. What is the second smallest value in 3, b, 0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 39, 80, 137, 216, 323, 464, 645?\nAnswer: 872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57 + -52. Let u(i) = -i + 1. Let p(k) = 2*k - 2. Suppose 5 - 1 = -s + 3*c, 2*s - 2*c = 0. Determine s*p(j) + z*u(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 629437\/53442 - 1\/5938. Let i = v - 1807\/171. Find the common denominator of i and -40\/9.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.86 to the nearest integer.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-105)\/(-7))\/((-1)\/(-1)). Suppose 0 = 3*n - v, 2*l + 3*n - 10 = -n. Let z(j) = -4*j**2 - 3*j. Let h(a) = 7*a**2 + 5*a. Give l*z(k) - 3*h(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 1 + 2*k**2 + 0*k - k**2 + 0*k. Let g(n) = 2*n**2 - 18*n + 3. Let j be g(9). Let p be m(j). Solve -p = -t - 4*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42198 and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5168 and 135280.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 + (3 - ((-4 + -4 - -29) + -15)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 28487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 10*k - 13. Suppose 0 = -7*d + 2*d + 15. Suppose -n + 3*o = 12 - 1, 0 = 2*n - d*o + 7. Calculate the remainder when 107 is divided by s(n).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*57*(-7)\/462 + 20\/24. Which is the smallest value? (a) 5 (b) g (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 6*s - 22. Let y = s + -5. Suppose y*g - 440 = g. Is 0.1 at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -365309 divided by -4?\nAnswer: 365309\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3*n - 46*n**2 + 101*n**2 - 52*n**2. Give s(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -q**7\/2520 - q**6\/45 - 8*q**5\/15 - q**4\/24 + 15*q**2. Let j(t) be the second derivative of p(t). Let j(v) = 0. What is v?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, 649\/4, -2\/13, -0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -100*k**3 + 124*k**3 + 512*k**3 + 64*k**3 - 254 wrt k.\nAnswer: 1800*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -341 - -350. Suppose 18048 = 33*w - u*w. Is w a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (4*(1 + sqrt(2299)) - (5*-1*sqrt(2299) + sqrt(2299)) - ((sqrt(2299) - sqrt(2299)*-2) + 5 + sqrt(2299) + -3))*-5)*-4)**2.\nAnswer: 42240*sqrt(19) + 14714176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 650383.8 millennia to centuries.\nAnswer: 6503838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 0*n = 3*g + 21, 2*g + 13 = 3*n. Suppose -w - 10 + 28 = -5*r, 0 = 2*w + r - 3. Factor -h**n - w*h**3 + 20*h - 461 + 4*h**2 + 473.\nAnswer: -4*(h - 3)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) 29727 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.221, 0.31, 3\/2, -1 in increasing order.\nAnswer: -1, 0.221, 0.31, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 1509 = v - 1737, -5*v + 16228 = 3*y. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 617 a factor of 228394607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 164 or 1182?\nAnswer: 1182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.221 in 3, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18*((-94)\/6 - -10). Is x at least 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - 218 + 198 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of a**7\/15 + 15*a**4\/8 - 25*a**2. What is the second derivative of x(b) wrt b?\nAnswer: 168*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 57*s + 9. What is the units digit of l(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l - 2. Suppose -p = 3*p - 8. Suppose -c = c - 12. What is the remainder when c is divided by k(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 17*f**2 - 30*f - 9. Determine z(-15).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, -0.2, -0.5, -9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 7*x - 18. Let g be c(3). What is the third derivative of 6*r**3 + 25*r**3 + 3230 - 3262 + 17*r**g - r**2 wrt r?\nAnswer: 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 327 + -326. Solve 1 + d = 2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 200 and 20163?\nAnswer: 4032600","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-3))\/((-18)\/8937). Suppose 5*t + l + 207 - 756 = 0, x = 3*t - l. Suppose -3*f + 323 = 5*o, 4*f - 2*o = -t + 532. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w. Suppose 6 + 13 = 4*b - 5*u, 0 = -3*b - u + 19. Suppose -4*c - 4 = -b*c. Let g(j) = 0*j - 4*j + c*j. Give s(g(f)).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2653\/(-35) - (1 - 4). Let n = w + 73. Which is the smallest value? (a) 1\/3 (b) n (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/200010 and -67\/7895970.\nAnswer: 892244610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p + 3*p - 4*p)*(-3*p**3 - 5*p**3 + 6*p**3 - p**2) + (5*p - 5*p + 2*p)*(-p**3 + p**3 - 2*p**3) as j*p**3 + k + o*p**2 + q*p + r*p**4 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161989343 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 40 + -53 + 76 - 42\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 2*y - 7579, -15179 = 24*y - 28*y + 3*t. What are the prime factors of y?\nAnswer: 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 15) + 5 - -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/40209 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -165\nAnswer: -16.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9960340.\nAnswer: 2, 5, 13, 29, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f + 1 - 1)*(-1 + 4 - 2)*(2 + 1 - 5) + (-3*f + f - 5*f)*(-2 - 3 + 3)*(2 + 4 + 0) in the form c + m*f and give m.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 j when three letters picked without replacement from {j: 2, r: 4, q: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16\/(-30)*-3)\/((-18)\/(-45)). Suppose i - n*i + 16 = 2*x, 0 = 4*i - 4*x + 12. Solve 5 = -i*u + a + 1, 3*u = 5*a - 13 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 11902 = -u, 4*c - 6410 = -u + 5457. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.0339, 5, 67, 0.09 in ascending order.\nAnswer: 0.0339, 0.09, 4, 5, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 11:22 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -q**6\/60 + q**4\/24 - 5*q**2. Let x be z(1). Is x at most -4\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 11*p**3 + 27*p**2 + 2*p + 66. Let l(o) = -11*o**3 - 24*o**2 - 2*o - 64. What is 8*g(a) + 9*l(a)?\nAnswer: -11*a**3 - 2*a - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 1 - ((-17 - -16) + -7 - -11)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 118761963?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 1 = -2*k. Suppose -2*w - 3 + 9 = 0. Let d be 6\/k + -4 + w. Solve -d*b + 5 = 3*x, -x = -5*b + 4*x - 35 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 22 = 62. Suppose -2*t + 24 = -4*u, 21 + j = 2*t - 2*u. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3996 + -99929\/25. What is the common denominator of b and 39\/235?\nAnswer: 1175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1147 - 1738. Let r = -590 - g. Are r and 3\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 4*b = -232 - 212, -4*k = 3*b + 355. Let g = k - -191\/2. Calculate the common denominator of g and 27\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - 0.1. Let s = -299\/3 + 103. Let y = 17\/6 - s. Sort v, 1, y in ascending order.\nAnswer: y, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/3 (b) 4 (c) -0.4 (d) -1074\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 2:10 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q + 1637 = 1707 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**2 + 3 + z - 2*z - 4. Let p be c(-1). Let j be ((-240)\/(-9))\/(p\/(-32250)). What is j rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 + 3*z + z**2 + 22*z**2 - 2*z + 2*z**2 - 17*z**2.\nAnswer: 8*z**2 + z + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ushshd. What is prob of picking 1 s and 1 u?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(180)\/sqrt(3) + sqrt(60))*6)\/(sqrt(300) - (sqrt(300) + (sqrt(300) - 1*sqrt(300))) - sqrt(300)))**2*-4.\nAnswer: -596\/5 - 96*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7262019966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4737*r. Let m(x) = -3*x**2. Calculate s(m(l)).\nAnswer: 14211*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891)*-1 + -1 + sqrt(891))**2 - sqrt(891).\nAnswer: -9*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 6*n - 4. Suppose -171 + 3 = -24*z. Suppose -2*b = b - 12, 3*i + 5*b + z = 0. Give x(i).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, 0.6, -5 in increasing order.\nAnswer: -5, -0.8, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -160 + 809\/5. Put -1\/5, n, -0.4 in increasing order.\nAnswer: -0.4, -1\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-3))\/((-4)\/714) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 340.4044056 rounded to one dp?\nAnswer: 340.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 8*v + 3. What is u(-5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/80*26)\/(5\/(-1220)). What is the highest common factor of 122 and p?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/8*(-20)\/(-25). Calculate the highest common factor of s and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14.1, 1.8, 2\/21, 4.\nAnswer: -14.1, 2\/21, 1.8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 287 and 5125?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 106172364 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 16, -471, -2216, -5981, -12528, -22619, -37016, -56481?\n\"Answer: -127*z**3 + 133*z**2 + 3*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/6084 and -1\/96498324?\nAnswer: 96498324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 11:09 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 0, -3*c + 0*c - 6 = -3*b. Let p be 44 - 0\/(b + 2). Suppose 0 = -j - 0*j + 2*h + p, -176 = -4*j + 3*h. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(720) + (sqrt(720) + 1 - sqrt(720))*-2 - (sqrt(720) + -1 + 3)**2 - ((3 + sqrt(720) + sqrt(720) + -1 + sqrt(720))*4)**2).\nAnswer: -104465 - 2340*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -1a1a2c9?\nAnswer: -1a1a2ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6 - -1) + (-16 - 1649) + 3. Let w = a - -8281\/5. Let 1\/5*x**3 + 7\/5*x**2 + w*x + 0 = 0. Calculate x.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168 + 258 = 60*a - 408 - 366 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4843046 is divided by 968602.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6423986.\nAnswer: 2, 149, 21557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -1\/124 (c) -136842\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-5))\/(w\/(w**(-1\/10)*w))*(w*(w**(2\/3)*w)\/w*w)**(4\/9) assuming w is positive.\nAnswer: w**(-787\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, i: 3}. Give prob of sequence iii.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 3148839?\nAnswer: 22041873","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.206 + 0.2. Let y = h + 0.0009. What is y rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -169*z - 1374. Determine b(-9).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 9:51 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/(-14))\/(9\/(-4)))\/((-882)\/(-343))\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 9*a - 5*a - 11, -2*a + 7 = v for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 74989 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -15. Let i(w) = 88*w**h - 18*w**2 + w - w - 2. Let m(j) = -j**2. Determine i(m(b)).\nAnswer: 70*b**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -8*a + 6. Let c(l) = 8*l - 5. Determine -4*c(n) - 3*m(n).\nAnswer: -8*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cm when two letters picked without replacement from cuccmccqccccmqqfc.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.7 + 3.9. Which is smaller: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 250044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -361 + -66. Let i = r - -408.7. What is i rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1942, -1, -34, -4 in descending order.\nAnswer: 0, -1, -4, -34, -1942","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**22*((j\/(j*j\/((j\/((j\/j**(-6))\/j*j*j))\/j)))\/j)\/j assuming j is positive.\nAnswer: j**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**3 + 367972*d**2 - 11410376*d + 55214400 = 0. What is d?\nAnswer: -92024, 6, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00450561 to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1468 - -0.2168. Let m = 12 + -6. Let p be ((-2)\/m)\/(3\/6). Is p less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -15, 137, 391, 747, 1205, 1765, 2427?\n\"Answer: 51*j**2 - j - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(200) + 0) - (-2*sqrt(200) + 1)**2 - (sqrt(200) + (sqrt(200) + -1 + sqrt(200))*-3 + (sqrt(200) - (sqrt(200) + -1))*-4)**2.\nAnswer: -5802 - 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1140 smaller than 266?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 844?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*t + 44*t - 3*u + 33 = 16*t + 7*t, 18*u + 62 = -64 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - ((-279)\/21 + (-6)\/(-21)). Suppose -j = u - 17. Suppose u = 10*i - 0*i - 150. Solve -11*q - 20 = -i*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 21738, 43303, 64878, 86469, 108082, 129723?\n\"Answer: q**3 - q**2 + 21561*q + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -364 divided by -14?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10230 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*m**2\/19 + 2*m + 20\/19.\nAnswer: 2*(m + 2)*(7*m + 5)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 1)*(-10 + 9)\/(21\/30)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 8. Suppose -o = -m*o + 25. Let y(j) = j**3 - 5*j**2 - 2*j - 4. What is y(o)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 - 7*i**2 - 2*i**2.\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 47*f**2 + 99*f - 145. List the prime factors of r(48).\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 218694*n**2. Let s(v) = 14*v**2. What is c(s(u))?\nAnswer: 42864024*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of m**7\/21 + 2*m**6\/15 - m**4\/3 - m**3\/3 - 5*m. Factor n(u).\nAnswer: 2*u*(u - 1)*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -14*b**6\/3 + 37*b**5\/60 + b**3 - 1433*b**2. Find the third derivative of u(j) wrt j.\nAnswer: -3360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 491 = 44*v + 667 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -27259, -27285, -27327, -27385, -27459?\n\"Answer: -8*v**2 - 2*v - 27249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 427490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n. Let o(a) = a**3 + 10*a**2 + 8*a - 1. Suppose -t + 15 = -2*k, k = 5*k - 4*t + 36. Let y be o(k). Let x(i) = -95 - 26*i + y. What is x(v(l))?\nAnswer: -26*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147)\/((sqrt(84)*1)\/sqrt(12)))\/(((sqrt(216) - sqrt(216)*-1) + sqrt(24))\/sqrt(8)))**2.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + (-1)\/2 + -1. Let q = 11 - 10.8. Let n(t) = t**3 - 6*t**2 + 5*t - 4. Let p be n(5). What is the nearest to 1 in p, q, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 131 + -80 - 114 - -36?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-3)\/((-27)\/9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39230 - -39252) + -1 + 1 + -95.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7752 and 72?\nAnswer: 23256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x - 1. Let c(t) = t - 15. Let b(z) = c(z) - 5*s(z). What is the units digit of b(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnnono. Give prob of picking 1 o and 1 n.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -516472*d - 4131764. Calculate s(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18788?\nAnswer: 2, 7, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378*q - 381*q - 124 = -2*v, 0 = -5*v - 4*v + 3*q + 579 for v.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2094391?\nAnswer: 13, 31, 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 4*i - 232, 2*y - 5*i + 76 + 25 = 0. What is the second biggest value in -1.7, y, 4?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -7\/172905?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1985 or -1984?\nAnswer: -1984","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2510398, 2510397, 2510392, 2510383, 2510370, 2510353, 2510332?\n\"Answer: -2*a**2 + 5*a + 2510395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -19. Let i be (-10)\/8 + -1 + 2 - (82 - 83). Which is the closest to -0.1? (a) o (b) 2\/19 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - t + 1181 = 0, 3*j + 2*t = 208 + 674. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 18*b)*(-3 + 5 + 0) + (-1 - 1 + 4)*(5*b + 4 - 4)*(4 - 3 - 3) as s + t*b and give t.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*k = 45 + 15, 5*m - k = 300. Is 37 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1467 = -7*d - 7171. Which is smaller: -1235 or d?\nAnswer: -1235","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1045)\/(-60) + -7 - (-1)\/4 and -32\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 789 is divided by 79?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 451902 is divided by 2226.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4*l - 4 = -3*l, 4*l = -16. Suppose 4*q = -j + 1292, p = -5*q + q + 2*j + 1280. Suppose -q = -4*n - 6. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jc when two letters picked without replacement from {j: 5, i: 4, v: 1, c: 6}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24\/(32\/(-4))*3*-3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14 or 22286\/13?\nAnswer: 22286\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 157*z - 4 + 4007*z**2 - 4005*z**2 - 69*z**4 - 153*z in the form p*z + c*z**2 + k*z**3 + r + t*z**4 and give t.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 63 (b) -1\/12 (c) -2\/7 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 295487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 35889612 divided by -6?\nAnswer: -5981602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24064153\/8 + -3004044. Let i = q - 3963. Calculate the common denominator of i and 23\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 463501 - 291085. Let m = -503877 + 1181461. Let l = b + m. Round l to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -504, -4057, -13696, -32463, -63400?\n\"Answer: -507*v**3 - v**2 - v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 82443\/7 + -11801. Let w = g - -573\/14. Calculate the common denominator of w and (-15)\/12*(-2336)\/(-160).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 339986669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2249 is divided by 1105.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -14088 (base 9) in base 12?\nAnswer: -5645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (299*l + 8156 - 8156)*(-3*l + l + l) - 1089*l - 17*l**2 + 1089*l.\nAnswer: -316*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 3) + (-2 - 2 - (77 + -87))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**2 + 57*s - 84. Calculate w(49).\nAnswer: -2093","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 358964 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*o - 6 = -25*o. What is the highest common divisor of 42 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/368 and -73\/2116?\nAnswer: 8464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-78*g**2 - 69*g**2 + 191*g**2)*(-443 + 3*g - 4*g + 426) to the form v*g + n*g**2 + a*g**3 + j and give a.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l = 9 - 64. Let x be l + (-4 - -3) - -78. Let p = x - 66. What is the remainder when p is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 194239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.13337 centuries to decades.\nAnswer: 471.3337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-480)\/35 + (-2)\/7. Let z be (-3 + 4)*(-1 - k). Solve 1 = 3*u + z for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4179.87 + -4151. Let i = -29 + t. Let o = -0.47 + i. Which is the second smallest value? (a) o (b) 4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 84*f + 26*f - 13420. Solve -140 = 6*i - f for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: 351 (base 16) to base 12\nAnswer: 5a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(11) + sqrt(11) + (1 + sqrt(11) + sqrt(11))*-3).\nAnswer: 9 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -62 - -34. Let t be ((-36)\/24)\/(6\/x). Suppose 78 + 48 = t*p. Calculate the greatest common divisor of p and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/9 + 3868*r\/9 - 1870178\/9.\nAnswer: -2*(r - 967)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 2*w = 12, 2*z - 2*w = -z + 7 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 4*k - 5*s, 0 = -k - 2*s + 3*s + 14. Suppose 0 = -4*g + 20 + k. Does 7 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -389*i = -401*i + 108 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(27)\/sqrt(3)*1) - ((sqrt(2) + sqrt(2) + sqrt(2)*2)*-1 + 4)**2.\nAnswer: -48 + 33*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139*b**2 - 7*b**3 + 4*b**3 - 66*b**2 - 73*b**2 + 2*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 3*k + 5*k)*(-3 + 7 - 2).\nAnswer: 16*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 245426115?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*v + 5 - 5)*(-2*v**3 + 2*v**3 - 4*v**3) + (-5*v + 2*v + v)*(-35*v**3 - 35*v**3 - 32*v**3) in the form q + t*v**3 + k*v**2 + s*v + d*v**4 and give d.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 20*w**3 + 2*w**2 + 2*w + 1. Let h be d(-1). Let c be -1 - (1*h - 1). Solve 5*a = a + 3*g, 0 = 5*a + g - c for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.88707 millilitres to litres.\nAnswer: 0.08588707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**4\/3 - 76*c**3\/3 - 722*c**2\/3 = 0. What is c?\nAnswer: -19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18922380 and 15137904.\nAnswer: 75689520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -36*z + 10. Let h(j) = 73*j - 20. Let n(k) = 3*h(k) + 7*q(k). Let m(x) = 33*x - 10. Let u(d) = -5*m(d) - 4*n(d). List the prime factors of u(-5).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -h**5\/20 + 3*h**4\/4 - 3*h**3\/2 + 3*h**2\/2 - 5*h. Let b be n(8). Sort b, -2, -4 in decreasing order.\nAnswer: -2, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 2*z - 3*z)*(224 - 224 + 2583*z**2 - 661*z**2).\nAnswer: -1922*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3a7545 (base 13) to base 9\nAnswer: -2587057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 40018528 + -1?\nAnswer: 40018527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 5) in base 2?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rny when three letters picked without replacement from ninyren?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1634471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 194, 339, 498, 677, 882, 1119, 1394, 1713?\n\"Answer: k**3 + k**2 + 135*k + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18398100 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: c1 (base 15) to base 12\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n + 5. Suppose -10*s + 27 = -29 + 6. Suppose 0*h - 80 = -4*h. Suppose -3*q - 12 = p, s*p + 60 = -5*q + h. What is r(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7\/(-3))\/(2\/(-30)). Suppose 0 = -3*y + h + 7. Let o = 66 - 40. What is the remainder when o is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 318073.64*2\nAnswer: 636147.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 7*y**3 - 6*y**2 - 6*y + 8. Suppose -2*t + 10 = 3*t. Let b(r) = 1 - t*r**2 + r**2 + 4*r**3 - r - 3*r**3. Give -a(g) + 6*b(g).\nAnswer: -g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 5*y - 1189 = 4*b, -5*y - b + 2020 = 0. Does 36 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -3, 0.5, -0.7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 100554.75 minutes?\nAnswer: 1675.9125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 346172 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l + 12*l - 3*l + 2 + l**2. Let y be (-29)\/4 + -4 + 85\/20. What is x(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(5) + sqrt(5)*1 + 0)**2 + (sqrt(80))**2*-5)*-3.\nAnswer: 1139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 39, 58, 77?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirteen quarters of a millennium?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -25*a. Let h(g) = 6*g - 16967. Give h(v(k)).\nAnswer: -150*k - 16967","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/2 - 1\/(-1). Let x(c) = c + 2. Calculate x(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of n**4\/5 - 32*n**3\/15 - 38*n**2\/5 - 8*n - 683. Factor w(x).\nAnswer: 4*(x - 10)*(x + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-2\/69)\/h)\/h*h**3)**35)**38 assuming h is positive.\nAnswer: h**(89110\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18717\/13 or -1440?\nAnswer: -18717\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6 - 4*k - 1\/2*k**2.\nAnswer: -(k + 2)*(k + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -g**3\/3 + g**2\/2 + g. Find the first derivative of s(k) wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -7*i**2 - 26*i - 2. Let w(v) be the third derivative of v**5\/10 + 25*v**4\/24 + v**3\/3 - 3*v**2 + 110*v. Calculate 4*a(h) + 5*w(h).\nAnswer: 2*h**2 + 21*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 2*r + 3*r - r. Let o be 38\/14 + 1*2\/7. Let d be w(o). Let k(b) = -b**3 + 2*b**2 + 2*b - 2. What is k(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 4*r**2 + 83*r + 75. Give b(-20).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -83, -5 in decreasing order.\nAnswer: 1, -5, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**2 + 2*y**2 - 2*y**2. Let m(s) = 1081*s**2 + 3*s - 2. Let n be m(1). Let f(o) = n*o - 1082*o + 10*o**2. Determine f(g(r)).\nAnswer: 40*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1685\/2 - -869. Suppose 5*r + 77 = 2*u, -2*u - u = 4*r - 58. Let a = p - u. Which is bigger: 2 or a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a - 3*a + 3*a - a + 10*a.\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**3\/5 + 87653*n**2\/5 - 701167*n\/5 + 122703 = 0 for n.\nAnswer: 1, 7, 87645","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 57\/(-342)*(-8)\/1*12\/(-28)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - h - 2. What is the lowest common multiple of g(-2) and 152?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 442 + 926. What is the remainder when w is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-24)*-6*(-50)\/(-30).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((((sqrt(112) - ((-3*sqrt(112) - sqrt(112)) + sqrt(112))) + sqrt(112))*-4 - 5*(0 + sqrt(112))) + 5 + 3)*-1)**2.\nAnswer: -1200*sqrt(7) + 70036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*l + 18 + 4, -k = 2*l + 2. Let z(t) be the first derivative of 2*t**3\/3 + t**2\/2 + t - 1. Let w be z(-3). Solve w = -2*s + k for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2725604, 2725602, 2725600?\n\"Answer: -2*w + 2725606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 24.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 8*v + 453 = -5*v, 4*v + 12 = 0. What is the smallest common multiple of 49 and y?\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4228141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z + 12. Calculate w(-20).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -1) + 13 + 10\/(-2). Let c(t) = 12*t**3 - 9*t**2 + 17. Let w = -2 - 0. Let h(z) = 3*z**3 - 2*z**2 + 4. What is b*h(u) + w*c(u)?\nAnswer: 3*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13611 + 13607. Let b = 0.2 + -0.09. What is the nearest to b in j, 0.3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 4*q - 994 - 8403, 5*q = 5*y + 11745. List the prime factors of q.\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 79954 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 9.6. What is the nearest to 0.1 in 5, q, 1\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.3 (b) -72930 (c) 0 (d) 3\/4 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (31\/(-62))\/((-6)\/(-4))*-12. Let q(d) be the second derivative of -1\/6*d**3 + 5*d - 1\/20*d**5 + 0 - 1\/12*d**z + 0*d**2. Give q(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21\/7 + 1 + 8. Suppose -2 = 2*k - 2*i, 3*k = 4*k + 5*i - 23. Let w = k + 129. What is the highest common divisor of f and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*n - 25. Solve -3*i + 9 = -n for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and (-33605862)\/(-12141) + (-2)\/(-57)?\nAnswer: 13840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 5, 1\/17, 3\/382 in increasing order.\nAnswer: 3\/382, 1\/17, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 3*y + 1 = 0, -34*l - 3*y + 11 = -39*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 20 = 5*n - 3*n, 24 = n + 5*h. Solve -5*b - n = -3*t, 24 = -2*t - 3*b - 2*b for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, 4, -0.3, -149?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nq when two letters picked without replacement from {n: 4, p: 2, q: 1, z: 4, j: 1, f: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/6)\/((-10)\/6). Let d = -6 - -4. Which is the nearest to 0.2? (a) d (b) 2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 571037?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 + 700*p.\nAnswer: 700*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**3 - 2*p**2 - 4*p + 5. Let u(d) = 2*d**3 - 2*d**2 - 5*d + 6. Give 4*u(l) - 5*z(l).\nAnswer: -2*l**3 + 2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23893660.78599619 + -23893661. Let t = n - -0.214. What is t rounded to 7 decimal places?\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -86*m**3 - 2*m - 3. What is the tens digit of b(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 10*m**2 + 5*m - 11. What is v(-5)?\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -116 - 106 + 327*t + 335 - 113 to the form z*t + y and give z.\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -34, -41, -32, -1, 58, 151?\nAnswer: 284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21741, -42995, -64249, -85503?\nAnswer: -106757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 48929422 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**6\/60 + 9*a**5\/10 + 14*a**4 - 196*a**3\/3 + 51*a**2. Suppose s(w) = 0. Calculate w.\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40458 + -43375. Put z, 0.1, 2 in decreasing order.\nAnswer: 2, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3215*u**2 - 1. Let n(v) = 3*v. Determine l(n(j)).\nAnswer: -28935*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-81)\/6)\/(-3))\/((-15)\/20*(-16)\/(-2))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 85170588001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-6)\/(-2) + -2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-156)\/10*(11280\/160)\/(-141) - -2?\nAnswer: 49\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of 13\/12*q**4 - 3 - 2*q + 3\/2*q**6 - 1\/3*q**3 - 1\/20*q**5 + 0*q**2. What is the third derivative of t(b) wrt b?\nAnswer: 1080*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-400)\/13)\/(-5) + -13 + 7\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h - 3*d - 5, 0 = -2*d for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y**2 + 26*y - 41. Calculate t(8).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1434 + 1436. Which is the second biggest value? (a) 0.165 (b) j (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 601773 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 + -27. Suppose a*z - 4*b = 7834969 - 1754989, -3*z = -5*b - 4559975. Round z to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/((-6)\/96*20)?\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 0*x - 3*x = 26, -f + 3 = x. Suppose 3 + 12 = f*d. What is the remainder when 4 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287722.\nAnswer: 2, 263, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2958*y**4 - 3*y**3 + 43810*y**2 wrt y?\nAnswer: 70992*y - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -4*j**3 - 5964*j**2 + 4*j + 5964 = 0.\nAnswer: -1491, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-21) - 48\/(-28). Let j = 29774\/7 + -4253. Which is the fourth smallest value? (a) j (b) k (c) 0.1 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 take away 6.755?\nAnswer: -6.155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.91 + -0.09. Let v = x + 5.5. What is v rounded to one decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9154.1 + -9154. Let w = 20 + -19.73. Let y = 0.3 - w. Which is the second smallest value? (a) y (b) -3\/4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90474389 is divided by 1538.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + -2 + (-7 - (0 - 11)) + 1.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2259 - 2299. Let c(d) = d - 1. Let o be c(-1). Does 19 divide (-110)\/y*(-48)\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24.8, 0.01, -2, 12, 3, 5 in ascending order.\nAnswer: -24.8, -2, 0.01, 3, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20310 - -403222?\nAnswer: 424032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 15 = -9. Suppose -3*u - i*u + 12 = 0. Find the third derivative of 7*o**u + 24*o**6 - 31*o**6 + 22*o**6 wrt o.\nAnswer: 1800*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 519, 361, 99, -267, -737, -1311, -1989?\n\"Answer: -52*m**2 - 2*m + 573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/59810 and 143\/251202.\nAnswer: 1256010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/2*20\/30*(0 + 3). Let 2\/3*z**2 + 6*z**5 + z**4 - 40\/3*z**t + 14\/3*z + 1 = 0. What is z?\nAnswer: -3\/2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.037 (b) 741.8 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 5939500.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**2 + g**5 - 2*g**2 + 3*g**5 + (7*g**4 - 13*g**3 + 13*g**3)*(g + 1 - 1).\nAnswer: 11*g**5 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17\/91 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -333788*z. Let m(y) = 2*y + 149. Give n(m(p)).\nAnswer: -667576*p - 49734412","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46 - (-1 + 18) - -3.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 11:16 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19862547 and 184?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + 54632086.\nAnswer: 54632085.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23296 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tbltbkkkdktkckllltk. What is prob of picking 2 t, 1 k, and 1 c?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 79*i - 1181. Determine c(70).\nAnswer: -551","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003238140507 rounded to six dps?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 10617327?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*k + 0*k + k + (k - 3*k + 0*k)*(-6 + 3 - 1) + 2*k + k + k + (-5 + 2 + 2)*(0*k - 2*k + 0*k).\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -13)*(-1)\/(-1). Let v(c) = -j*c**2 + 4*c + c - c. Let z(p) = p**2. Let x(u) = v(u) + z(u). Determine d so that x(d) = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((((-408)\/765)\/(-2))\/(654\/(-9)))\/((-6)\/(-15)).\nAnswer: -1\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/21? (a) -4 (b) -0.5 (c) 2 (d) 1.7 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*f + 64 = -116 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 23. Let y be 1 + 2 + u\/(-8). Suppose -3*i + i = 2*r + 12, 5*r + 12 = 4*i. Is r at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/11414871 and -71\/26?\nAnswer: 22829742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3034 + 3036. Solve 3*s + v - 13 = -j*s, 4*v + 8 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 4*r + (3 - 1 - 3)*(4*r + 0*r - 3*r) - r + 0*r - r.\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*l + 22*l + 18 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 3*c - 5, -4180*x - 125 = -4*c - 4201*x for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8175)\/(-15675) + 4\/(-11)?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.89999954 - -3.9. Round i to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/5, -51, -0.4, -239.8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -t - 3. Let o be (3 + -10)\/t - -1. Let p be (12\/3)\/(-11*1\/(-242)). What is the highest common factor of p and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-10)\/(t**(-4)*t)*(t*t\/(t\/(t\/(((t\/(t\/t**(1\/7)))\/t*t)\/t))))\/(t*t\/t**(-9)*t) assuming t is positive.\nAnswer: t**(-113\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 43, 24, -21, -104, -237, -432, -701, -1056?\n\"Answer: -2*w**3 - w**2 - 2*w + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -134, -266, -384, -482, -554, -594?\n\"Answer: a**3 + a**2 - 142*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**3 + 16*p**2 + 8*p - 25. Let m be x(8). Solve 20 = 35*b - m*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 361, 1327, 3281, 6571, 11545?\nAnswer: 18551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-1*((sqrt(343) - sqrt(343)*2) + 1)**2*2*-4*-6.\nAnswer: -3360*sqrt(7) + 82560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(11) - (sqrt(176) + -1))*-4.\nAnswer: -20 + 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.1 + -9?\nAnswer: -21.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 56*f*i**3*m**3 - 35*f*i*m**2 + 13*f*m**2 - 2*f*m + 2*i**3*m + 2*i*m**2 + 202*m**3 wrt m?\nAnswer: 336*f*i**3 + 1212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 1676*d**2 - 333*d + 331. Calculate y(1).\nAnswer: 1674","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 4, 39, 120, 265, 492?\nAnswer: 819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1721164 is divided by 3035.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(102)\/(sqrt(6) + sqrt(6) + sqrt(18)\/sqrt(3)) + 1 - (-4*(sqrt(68)*2 + sqrt(68)))\/sqrt(4)).\nAnswer: -37*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141692?\nAnswer: 2, 35423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/4, -0.2, 3\/11, -2\/43?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 145.748635 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 18*f. Let j be s(3). Suppose v = 5*b + 40, v + 2*b - j = -0*v. What is the smallest common multiple of v and 15?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/10*(-10)\/12. Let p(s) = -s - 10. Let o be p(-10). Let f = -20.82 + 21.02. What is the closest to n in o, 1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -337*f**4 - 458*f**2 - 8 - 113*f**4 + 780*f**3 + 110*f - 6*f.\nAnswer: -2*(3*f - 2)**2*(5*f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -3*o + 9, 4*g - 14*o - 7 = -9*o for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 585, 589, 593, 597, 601, 605?\nAnswer: 609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence an when two letters picked without replacement from {v: 3, a: 1, d: 3, j: 1, n: 2, k: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 + 1.5. What is z rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 65 - 67 = 0. Let d = m - -87. Calculate the remainder when d is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 19*v**3 + 9*v - 3. Let o(g) = -32*g**3 - 2*g**2 - 2*g. Let i(d) = -187*d**3 - 12*d**2 - 10*d - 1. Let j(r) = i(r) - 6*o(r). What is -9*j(f) + 2*p(f)?\nAnswer: -7*f**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 9:59 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -100 or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12813 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from 2206.\nAnswer: 2206.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 + 632464*u**2 - 5059904*u + 10119936.\nAnswer: 4*(u - 4)**2*(u + 158124)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 439.6 + -488. Let h = i + 49.2. Let p = 7 + -4. What is the third smallest value in p, -4, h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24548 and 1130636.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -33\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + 1 + 0 + -2. What is the greatest common factor of b and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (30\/4)\/(3\/6). Suppose -3*b - 216 = -3*u - 0*b, i = -3*b. Calculate the remainder when u is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 7*x - 11. Let o be l(9). Let m(z) = -551 + 262 + 296 - 2*z**2 - 7*z + 3*z**2. Give m(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l = -1 + 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/2*(-108)\/(-33) and 15\/17.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -9, 5.\nAnswer: -26, -9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 24590, 49108, 73626, 98144?\n\"Answer: 24518*j + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -49\/3. Let y = c + 4\/15. Let h = 0.2551 + -5.2551. What is the second smallest value in -3, h, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -137614, -137553, -137492, -137431, -137370?\nAnswer: -137309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1743)\/(-630) - (-80)\/(-30). Which is the nearest to -2? (a) 1\/3 (b) h (c) -1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 1.9. Let b = 0.5 + i. What is the nearest to -2\/7 in -4, b, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-56) - ((-12)\/(-1))\/48. Which is the biggest value? (a) s (b) 17\/4 (c) -6\/7 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -0.4, -8, -4\/9, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 3*r**2 + 5*r**2. Let f(c) = 9 + 7*c - 129027*c**2 - 7*c + 129026*c**2. What is f(q(x))?\nAnswer: -9*x**4 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 15*k - 33. Let m(r) = 2*r - 1. Let v(s) = -3*s + 1. Let u(f) = -5*m(f) - 3*v(f). Calculate -2*l(q) - 33*u(q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.1 + -3. Let j = q + 0.1. Let g be (-7 - -4) + (165\/12)\/5. Sort g, j, 3 in increasing order.\nAnswer: j, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33 * -0.01.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -80, -131, -188, -251?\nAnswer: -320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*k - 10*k + 918 = 0. Solve -3*n - 6*n + k = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31746 - ((-26)\/(-117) - 552\/54)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1771, 7082, 15933, 28324, 44255, 63726, 86737?\n\"Answer: 1770*g**2 + g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 22*d**2 + 19*d + 2. Let y(t) = -8*t**2 - 6*t - 1. Let u(f) = 4*w(f) + 11*y(f). Find the first derivative of u(b) wrt b.\nAnswer: -12*b**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 15 = 0, -5*x = -0*f + 2*f + 15. What is the closest to 0 in -0.1, x, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1002872 is divided by 145?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -h**2\/2 - h + 1. Let w(c) be the third derivative of -23*c**2 + 1\/6*c**4 + 2\/3*c**3 + 0 + 0*c. Calculate -4*w(r) - 18*y(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 702*h + 11. Let s(k) = -11*k. Calculate s(x(d)).\nAnswer: -7722*d - 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u + 1. Let a be v(-6). Let t(r) = -4*r - 5. Let z be -1*2\/(-2*1). Let w(i) = i - 1. Let d(l) = z*t(l) + 2*w(l). Give d(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -764582, 1\/4, 1 in decreasing order.\nAnswer: 1, 1\/4, -3\/4, -764582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 3*n**2 - 6*n - 2. Let a be i(-4). Let l(u) = -u**2 + 6*u - 1. Let w be l(a). Is w bigger than -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9827837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -31 and -32 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 169 + -139. Calculate the remainder when f is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a millennium in decades?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30\/19 - -1339\/836. Let o = -21\/44 - u. Let r = 0.41 + 2.59. Which is the second smallest value? (a) o (b) r (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -688.\nAnswer: -2064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1274, -2515, -3730, -4907, -6034?\nAnswer: -7099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -478 - -630. Let l = 152.176 - g. Round l to 2 decimal places.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1541 (base 6) to base 12\nAnswer: 2b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**5\/17 - 324*n**4\/17 + 8252*n**3 + 2066304*n**2 + 1976389318*n\/17 - 118332732 = 0 for n.\nAnswer: -181, -102, 1, 301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 39*k**2\/2 - 8*k + 1. Let x be s(12). Round x to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1033 - -1045) + 40\/(-84)*25)\/(24\/70)?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/48330 and 137\/630?\nAnswer: 338310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1366 - 1177. Calculate the lowest common multiple of i and 24.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -8*b**2. Let h(k) be the second derivative of k**4\/12 + k**3\/2 - k**2 - k. Let j be h(-4). Let f(a) = j*a - 2*a + 0*a - a. Give f(l(y)).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400779.\nAnswer: 3, 44531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 90*b**3 - 33*b**3 - 27*b**3 - 35*b**3 + 7.\nAnswer: -5*b**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -533 divided by 533?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 179 + -179.000087. What is b rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 y when two letters picked without replacement from {y: 4, m: 3}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c. Let l(h) = 100*h**2 + 909*h + 12. What is l(s(q))?\nAnswer: 400*q**2 + 1818*q + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 4*s + 1. Let z(n) = 4*n + 1. Let p = 1031 + -1025. Give p*z(f) - 5*r(f).\nAnswer: 4*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 3095, -344, -2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**5\/5 + 438*x**4 - 2178*x**3\/5 - 6576*x**2\/5 + 10941*x\/5 - 4374\/5 = 0 for x.\nAnswer: -2, 1, 729","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -2*o**5\/5 - o**4\/4 - o**3\/6 + o**2 + o. Let s be k(-2). Calculate the highest common factor of 7 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -68 + 67.8. What is the second biggest value in -8, -13, b?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 739754?\nAnswer: 2, 369877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19744 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 64 = x - 4*x, -3*j + 3*x = -66. Let i be 2\/(-5) + j\/(-10). Does 15 divide (6 + -3)\/(i\/(-15))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.01 - 1.99. Let t = j + 1.5. Let u = -0.9 + 0.8. Put t, 5\/6, u in descending order.\nAnswer: 5\/6, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*m**3 + 100*m**3 - 99*m**3.\nAnswer: 80*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 10:07 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 5:20 AM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2\/9, -0.29 in decreasing order.\nAnswer: 2\/9, -0.29, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-660)\/(-50) + -13)*0. Solve 15*i + 34 - 19 = c for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 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: What is -3037 take away -0.1?\nAnswer: -3036.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8988956 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -13015, -51837, -116473, -206923, -323187, -465265?\n\"Answer: -12907*b**2 - 101*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 545 a factor of 20537780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 283827 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7066\/897 - 180\/23. Suppose 3*q - 3*x + 2*x - 13 = 0, -4*q - 5*x = -30. Sort q, p, -1, 2 in increasing order.\nAnswer: -1, p, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 4) + (6 + -1 - (3 + 0))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/7, -0.5, 5.2, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32656*c + 43623*c + 49850*c - 26524*c.\nAnswer: 99605*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -127*q**3 + q**2 - 1. Suppose -2*m - m - 3 = 0. Is r(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n - n + 4*j - 19 - 21, 430*j - 481*j = 5*n - 164 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8986?\nAnswer: 2, 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/5 in 0.1, -11.29, 0.24, -18?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 6, -38334, -2, -4 in increasing order.\nAnswer: -38334, -7, -4, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15156 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5, -11, -2\/3, -1\/110?\nAnswer: -1\/110","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4136.86 and -2.\nAnswer: -4138.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((129360\/(-126))\/(-40)).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1454, 0, 5, -5 in increasing order.\nAnswer: -5, 0, 3, 5, 1454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - y + 21 = 0, 3*y - 5*y + 14 = 3*w. Suppose -w*a - 9 - 15 = 0. Let p(t) = -t - 1. What is p(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 272 = s - 313, -2*s - x = -1 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(143)*2 - (sqrt(143) + sqrt(143)*1)*-5)*-5)\/((sqrt(352)\/sqrt(288))\/(sqrt(432)\/sqrt(12) - sqrt(4))).\nAnswer: -240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222 + 100220120022001?\nAnswer: 100220120021002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 5*z**2 + 6*z + 3. Let t be y(-6). Find the third derivative of 3*g**3 + 4*g**t - 2*g**3 + 2*g**2 + 0*g**2 wrt g.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.01 - -2.99. Suppose -4*z - z = 0. Which is the third smallest value? (a) z (b) 0.2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*y - 6, 4*y + 6 + 6 = 2*d. Let k(w) = -w + 538. Let b(a) = -161. Let z(i) = -10*b(i) - 3*k(i). Determine z(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3607, -3723, -4031, -4627, -5607?\n\"Answer: -16*k**3 - 4*k - 3587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130250397?\nAnswer: 3, 29, 37, 43, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 2*t - 10. Let v be d(3). Suppose v*u + 4 = 3*u. Which is the closest to -0.1? (a) -0.3 (b) -2\/7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.57 - -41.57. Let m = -40 + x. Is m bigger than -33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 divided by 973?\nAnswer: 636\/973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40920 divided by -682.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*x = 17*x + 96. Let w(z) = z**3 - 7*z**2 - 7*z - 4. What is w(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvwwuvvpuvpv. What is prob of sequence wv?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(128)*-1).\nAnswer: -sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*k**2*p**2*s*x - 91655*k**2*p*x**2 + 2798*k*p**2*s*x**2 + 47*k*p*s*x + k*x**2 - s*x wrt k?\nAnswer: -26*p**2*s*x - 183310*p*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l + 2. Let w be r(2). Let p(t) = t + 8. Let m be p(w). Let f = 146.889 + -146.489. Put f, -2, m, 2 in decreasing order.\nAnswer: m, 2, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 - 3*a + 11. What is w(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 - -18. Solve i = r + a - 7, -4*a = -3*r + a - 11 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 350*i**3*p*t**2 + i**3*p - 2*i**3*t**2 - 23*t**2 wrt p.\nAnswer: 350*i**3*t**2 + i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 37*p - 100 wrt p.\nAnswer: 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tbbtbbttbtbt. What is prob of picking 2 t?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -33511385852\nAnswer: -33511385848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 325 - 1943\/6. Let r = -2 + 1.4. Sort 5, r, w in decreasing order.\nAnswer: 5, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l**3 + 4*l**2 + l**3 - 34 + 43 + 2*l**2 to the form h*l**3 + s*l + k*l**2 + d and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 291185 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 - 9*q + q**2 - 3*q**2 + 16 as t + s*q**2 + m*q and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 105 = 5*v, -351 = -4*v - m - 352 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 6:17 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-a + 4*a + a)*(1 + 4 - 3) - 10710 + 10710 + 80*a)*(-4 + 1 + 0)*(1 + 2 - 2).\nAnswer: -264*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 7*b**3 - 2367*b**2 + 3*b - 6. Let c(l) = 2*l**3 - l**2 + l - 2. Determine 6*c(p) - 2*h(p).\nAnswer: -2*p**3 + 4728*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/9)\/((-3)\/27)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 70*v**2 - 144*v - 294. Determine w(72).\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(2 + (-1 - -2)). Suppose 0 = t + y - 17 + 10, 0 = t - y - 1. Is z at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60570609 to the power of 1\/2, to the nearest integer?\nAnswer: 7783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 0.2, 2, 5\/2, -2.6?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35150 is divided by 28?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 9*f**2 - 22*f - 101. Give q(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*g + 7 - 44 + 0*g**2 + 120*g**3 + 0*g**2 - 118*g**3 in the form u*g**3 + n*g**2 + q + d*g and give q.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41890?\nAnswer: 2, 5, 59, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p + 3*p - 3. Find the common denominator of (-4)\/20 - p\/(-80) and 31\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 128 + -83. Let u be (26\/(-6) + 4)*-15. What is the highest common factor of x and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1601967300 rounded to the nearest 1000000?\nAnswer: 1602000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5b988 + 58?\nAnswer: 5ba24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n**4 + 4*n**3 + 26*n**2 - 5*n + 25. Let r(z) = z**4 + z**2 - z + 5. Let v(g) = 10*r(g) - 2*w(g). Let v(l) = 0. What is l?\nAnswer: -3, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 8429\nAnswer: 2\/8429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 218464?\nAnswer: 1\/54616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -739 + 728. Sort 0.5, -2\/11, o.\nAnswer: o, -2\/11, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -594014, -1189512, -1785010, -2380508, -2976006?\nAnswer: -3571504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 - 198*u**2 + 6 - 12*u + 198*u**2 + 21*u.\nAnswer: -3*(u - 2)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((2 + 1*sqrt(1053) + sqrt(1053) + 0 + sqrt(1053) + -1)**2 - -5*(2 + 4*sqrt(208))).\nAnswer: 134*sqrt(13) + 9492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/1508 and -13\/1624?\nAnswer: 21112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -7*l**2. Let j(b) = -2 - 2*b + 33 - 33. What is r(j(a))?\nAnswer: -28*a**2 - 56*a - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxjjhjhhdbxhjbjjjjjx. Give prob of picking 1 d and 1 x.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14515 + -13982. What is the greatest common divisor of 1394 and f?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48 divided by 12\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 95019270 and 1052.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9160006*h**5 + 7043*h**2 - 19*h - 9 wrt h?\nAnswer: 549600360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17181*b + 17364?\nAnswer: -17181","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 - 263 = -3*b + i, -5*b - 2*i + 322 = 0. Suppose -13*a + b + 170 = 0. Suppose -3*q - 4 = -5*q. What is the lowest common multiple of a and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.084058 > 4\/231?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 71115*m**2*p*x - 215*m**2*x**2 + 2*m**2 - m*p*x**2 + 209*m*x wrt p.\nAnswer: 71115*m**2*x - m*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -695, -4470, -14713, -34658, -67539, -116590?\nAnswer: -185045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.8 and -2285.75?\nAnswer: -1828.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -26\/3661091?\nAnswer: -26\/3661091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8612 + 1136621\/132. What is the common denominator of r and 79\/6?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53476 is divided by 8665.\nAnswer: 1486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*m = -480, 376 = -5*l + 5*m + 1176. Suppose -d = -6*d + l. Calculate the remainder when 62 is divided by d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 0*m - 192 = 0. Calculate the remainder when 108 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 228, 850, 2310, 5028, 9424, 15918, 24930, 36880?\n\"Answer: 70*g**3 - g**2 + 135*g + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n**3 - 8*n**2 - 3*n. Let h be 30\/(-3 - -3 - -1). Let j be (1\/(-2))\/(3\/h). Is 38 a factor of m(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14037 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*c**2*m**3 - 2*c**2*m**2 + 2*c**2*m - 63*c*m**5 - 193*c*m**2 wrt m?\nAnswer: -54*c**2 - 3780*c*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 108.\nAnswer: -7\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 222047?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 8*k + 3. Let x be j(-8). Suppose -x*n = -0*n. Is n != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62 - 62 - 12*t to d*t + v and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 8*u**2 - 2*u + 8. Suppose -v + 2 = 3, 5*x - 2*v - 122 = 0. Suppose 0 = 3*g - 6*g - x. What is the remainder when 91 is divided by t(g)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 74 - 93 = -2*l, 2*l = 4*c + 22 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1209 - 373*g + 1209)*(4 + 4 - 2).\nAnswer: -2238*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1389 + -37489\/27. What is the common denominator of z and -181\/30?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 7:12 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 20 = 2*d + m, -52 = -4*d - 5*m. Calculate the highest common factor of 198 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 + 10402728*r + 31208148.\nAnswer: 4*(r + 3)*(r + 2600679)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 16*o + 65. Let t(b) = 88*b + 50. Let z(h) = 43*h + 25. Let c(n) = o*z(n) + 2*t(n). Calculate the remainder when c(-4) is divided by 35.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.21 times -8.02\nAnswer: 1.6842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 789.362 + -790. Let k = y - -0.058. Let i = k - -0.57969. What is i rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/3))**(-43) assuming j is positive.\nAnswer: j**(-43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 22*s + 19. Calculate i(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13614135317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 432460 or -1433?\nAnswer: -1433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217*c + 1788 = 52. Solve 4*v = -c, -206*v + 205*v = -k - 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 16 = v + 8*k, 0 = 3*v + k - 6. What is the least common multiple of v and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 525 divided by -278.\nAnswer: -525\/278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000142 rounded to 5 dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 124*h. Let c(r) = 2861*r**2. Give c(l(z)).\nAnswer: 43990736*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -11*w - 64. Let i be x(-7). What is the remainder when 214 is divided by 2\/i - (10790\/(-169) - -9)?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-15)\/((-60)\/(-104)))\/((-4)\/6). Let a be o\/(-52) + (-23)\/(-4). Suppose -a*j + 3*n = -4, -j = n - 0*n - 4. Solve 4*c = l - 18, -l - j*c - 2 = -c for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/((-9)\/(-30)) - -2. Let m(h) = 58 + 69 - 112 - 3*h. What is the units digit of m(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-30))\/((-1)\/(-6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n + 406 - n + 1018*n**3 - 1019*n**3 + 580 + 925.\nAnswer: -n**3 + 1911","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 3*j - 8, -5*q + 1 = j - 3. Let c = 1 + -1.1. Let f = -27 + 133\/5. What is the nearest to c in f, 2, q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 8:31 PM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3463931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1017 is divided by 338.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 464 and 1012248.\nAnswer: 58710384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.41266 - 4.58734. Let l = 17.4 - 12. Which is the smallest value? (a) -1 (b) 3 (c) l (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 542823, 1085644, 1628465, 2171286?\n\"Answer: 542821*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2769?\nAnswer: 3, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 289*q**2\/2 + 1007*q - 881. Differentiate i(v) with respect to v.\nAnswer: 289","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -4*o**4 + 108*o**3 + 6172*o**2 + 58260*o + 52200 = 0?\nAnswer: -15, -1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 12*m**2 + 24*m + 58. Let s be g(14). What is the closest to -0.1 in -1, -5, s, 2\/47?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - 4*i + 2*y - 2, 4*y + 7 = -3*i. Sort i, 0, 1, -2 in increasing order.\nAnswer: -2, i, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.3 + -11.3. Which is the nearest to -0.2? (a) -4 (b) 4\/7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -147.1 + 123. Round f to the nearest integer.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 9 - 1. Suppose 2*y = -q*j - 4, 3*j + 1 = -5. Suppose 2*k - 550 + 38 = y. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of t**6\/120 - t**5\/12 + t**4\/12 + 7*t**3\/6 + 17*t**2. What are the prime factors of j(7)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3235, -3227, -3215, -3199?\n\"Answer: 2*m**2 + 2*m - 3239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000012611 rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 73 - 3?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22047 - 22053.891. What is m rounded to 1 dp?\nAnswer: -6.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (2 - -6) - (41 - (-3 + 7 - 11))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (65 - 14) + -69 + 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: d19 (base 14) to base 7\nAnswer: 10332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 72 + 45. What is s rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -1101?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 12634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 218277 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1264070453 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: Find the first derivative of -7*n**4 - 90*n**3 + 465*n + 5608860 wrt n.\nAnswer: -28*n**3 - 270*n**2 + 465","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.833641um in meters?\nAnswer: 0.000009833641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 5:31 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-154*u + 13 - 12 - u**2 - 6)*(3*u + 2*u + 0*u).\nAnswer: -5*u**3 - 770*u**2 - 25*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5\/6)*(r*((r**(-1\/4)\/r*r)\/r*r)\/r)\/r)\/((r\/(r*r*r\/(r\/r**4)))\/(r\/r**(1\/10))) assuming r is positive.\nAnswer: r**(229\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 892227683 to the nearest integer?\nAnswer: 29870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (22*p + 10*p + 4*p)*(4*p**2 - 6*p**2 - p**2) as j + k*p**3 + f*p**2 + s*p and give k.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 84 + -55. Let w = a - -3. Suppose -4*n - 4*c = -w, n - 3*c + 0*c - 8 = 0. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -481280*g + 1078329*g + 1976018*g + 2726934*g - 1. Let k be p(1). Round k to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 334604286 to the nearest integer?\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**3 - 3*n**2 - 3. Let x(h) = -h. Let f(o) = -o**2 + 4*o - 1. Let y(g) = f(g) + 4*x(g). Give -2*b(v) + 6*y(v).\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -7*o + 12*o. Solve -5*n = -0*t + o*t + 28, n = 5*t for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -88107*r**3 - 2400 wrt r.\nAnswer: -264321*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 38*i**2 - 9*i + 13. What is the hundreds digit of d(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 101 or 7\/5?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7690 and 3305.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 61*i**2. Let b(q) = -97314*q. Give d(b(u)).\nAnswer: 577670890356*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21990 + -927?\nAnswer: 21063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 225 (b) 39.4 (c) -1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -246282\/347 + 2839\/4. Calculate the common denominator of 83\/52 and x.\nAnswer: 18044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 7:56 AM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nd when two letters picked without replacement from ndndnvnnvvvdvnnnvdvv?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -396673803 divided by 3907?\nAnswer: -101529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -32907.9 rounded to the nearest one hundred?\nAnswer: -32900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 277523192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 6. Suppose l*c - 18 = 52. Find the third derivative of -14*g**5 + 46*g**5 + 17*g**2 + c*g**2 wrt g.\nAnswer: 1920*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 - (-9 - ((2 - 10) + -10))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 5:29 AM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 h, and 1 p when three letters picked without replacement from ipmiiopiotioptohmoii?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -110011101 (base 2) to base 8\nAnswer: -635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2655*m**3 + 2*m**2 + 2817*m - 2817. What is n(1)?\nAnswer: 2657","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/2))**(-9)*(u\/u**1)**(9\/5)*(u*u*u**(-2\/21))\/u**(1\/2)*(u*u**(-1\/4)*u)**(1\/45) assuming u is positive.\nAnswer: u**(7489\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1816457892.\nAnswer: 2, 3, 263, 575557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of u**9\/9072 + u**8\/4032 - u**7\/756 + 3*u**4\/4 + 6*u. Let n(i) be the third derivative of w(i). Find h such that n(h) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 0.069515, 0.5, 0.39?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -9*m - 7. Suppose c = 3*d + 16, d - 4*d = c + 8. Let a(p) = p + 1. Give d*a(g) - u(g).\nAnswer: 5*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 - 83 = -n + 18*s - 7*s, n = 3*s + 56 for n.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j. Let u(f) be the second derivative of f**7\/315 - f**4\/4 + 5*f. Let i(g) be the third derivative of u(g). Calculate i(h(y)).\nAnswer: 32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/((-10)\/5) - 1. Let c be (l\/3)\/(8\/36). Solve -c*h + 2 = -h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 94*m - 19. Is i(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1022490184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107897, 215807, 323713, 431609, 539489?\nAnswer: 647347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a milligram in micrograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1573) - sqrt(1573)) + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1174 is divided by 50.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*h + 181 = 4*c, -c = h - 181. Suppose -h*z = -179*z - 3184. Suppose z = b - 7398. What is b rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 508 + -442. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216.3 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*l - 1512 = 18*l. Calculate the highest common factor of 51 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79982018 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + -407940.435083?\nAnswer: -407940.335083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, q: 10, d: 4, j: 2}. Give prob of picking 1 f and 3 q.\nAnswer: 6\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/(-55) - (-12)\/(-44). Let a(k) = j + 9 - 9 - 15*k + 0*k. Let b(g) = -9*g**2. Determine b(a(m)).\nAnswer: -2025*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -131*u**4\/2 + 47*u**2 - 717*u. Find the first derivative of a(d) wrt d.\nAnswer: -1572*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232869132131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 7:51 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4706669 and 0.01939?\nAnswer: 4706669.01939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/12)\/(12\/48)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104, 131, 172, 233, 320, 439, 596, 797?\nAnswer: 1048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41180.6 rounded to the nearest one hundred?\nAnswer: 41200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -10*k**3\/3 + 5*k. Let c(t) = -2*t**2. Calculate o(c(l)).\nAnswer: 40*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 6*o - 4. Let c be s(-8). Suppose 4*v = -5*t + 44, 10 = 2*v + 5*t - c. Is v a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 57*f - 250. Let t be c(52). Let z(d) = -d**3 + 10*d**2 + d + 9. Give z(t).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7424 + 7443.031. Let k = -0.42 + 19.42. Let g = p - k. What is g rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u - 63. What is v(-48)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 greater than or equal to 4307\/93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2718691*k - 25263 = -2718290*k for k.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of o**7\/350 - 3*o**5\/100 - o**4\/20 - 8*o**2. Factor i(z).\nAnswer: 3*z*(z - 2)*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 6:59 PM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6888 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.093 + -1.893. Let i = -0.8 - y. Sort i, -1, -4 in ascending order.\nAnswer: -4, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 555117580 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -59 divided by -1923615\nAnswer: 59\/1923615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -4*n + 47. Calculate u(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 0.3, -0.3, -1515, 0.5, 84\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 + -26. Suppose 4*c = p + 31. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29703?\nAnswer: 3, 9901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, -5 in descending order.\nAnswer: 7, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*g + 6*g**3 - 11*g**2 + 2*g**3 + 11*g**2.\nAnswer: 8*g**3 + 73*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5713 - 1747. What is the thousands digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**2 - 19*n - 3. Let c(y) = -5*y**2 + 56*y + 8. Let s(u) = 8*a(u) + 3*c(u). Let o be s(-14). What is the tens digit of (-10)\/(-4)*o\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 727075 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -156129 less than -156130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**2. Let y(f) = 6*f**2 - 5*f - 5. Let b(a) = -a**2 + a + 1. Let o(i) = 10*b(i) + 2*y(i). Calculate o(w(c)).\nAnswer: 18*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 32\/(-112) - 19\/7. Let d = 1 - r. What is the third derivative of -d*v**2 + 2*v**5 + 2*v**5 - 2*v**2 wrt v?\nAnswer: 240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/8 and -55\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*w - 14*w - 17*w - 17*w to the form a*w + r and give a.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (1 - 5 - 0) + (-113 - -123).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -62, -114, -164, -212, -258?\n\"Answer: i**2 - 55*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -129\/5 (b) 0 (c) -45304 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*s - 96192 - 39690 = -167*s. Does 17 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20682600 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 6*o = -21. Let g(i) be the first derivative of i**3 + 7*i**2\/2 - 11*i - 7. Is g(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oos when three letters picked without replacement from {g: 2, o: 6, s: 4}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -40*w - 55. Determine n(-11).\nAnswer: 385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 15\/157, 1\/10, 5\/2, 1285 in decreasing order.\nAnswer: 1285, 5\/2, 1\/10, 15\/157, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 593*l**2 - 6*l - 12. Let d(a) = -594*a**2 + 4*a + 9. Determine -3*d(w) - 2*t(w).\nAnswer: -2*w**3 + 596*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11078.\nAnswer: 2, 29, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x. Let s be c(2). Let l = -94 - -131. Let k = l - 36. Which is smaller: k or s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 1:02 PM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 1920141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 less than -28.6?\nAnswer: 41.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.15 + 0.15. What is the closest to 1 in 0.1, b, -9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.381 + -0.119. What is the third biggest value in 0.3, 0.2, -58, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*l**2*z**2 - 121*l**2*z + 9*l**2 + 51*l*z**2 + 8*l*z - 2*z**2 - 50 wrt l.\nAnswer: -14*z**2 - 242*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m - 21*m - 9 = 0. Which is the nearest to m? (a) -0.3 (b) 0.5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r - 3 - 5*r - r + r.\nAnswer: -7*r - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1917 divide 9121086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = g - 4*g, 5*g = -5*c - 10. Let o(l) = -l**3 - 4*l**2 + 0*l**3 + 0*l**3 + 10*l + 7. Does 8 divide o(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11083 is divided by 83.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.4, -3, -1\/147, 0.4 in decreasing order.\nAnswer: 0.4, -1\/147, -0.3, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 131491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 40747.02m?\nAnswer: 4074702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 7. Let p = s + -0.2. Let x = -52\/3 + 16. Put -0.1, x, p in ascending order.\nAnswer: x, p, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 - 3)*(-1 - 3 - 1)*(0*x - x - 4*x) in the form p + y*x and give y.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 29*g**2 + 23*g + 126. Calculate i(28).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 5*r - 55 = -4*k, 3*k = r - 55. Let w be (-8)\/k + (-24)\/(-15). Solve j - 25 = -4*q - 0*j, 3*j = -w*q + 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 3)*(0 + 3 - 2)*(a**2 + 6*a**2 - 4*a**2) as m + r*a**2 + t*a and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 99151713 to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29865?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1846\/468)\/71*(-18)\/(-8).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 12:36 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/15)\/((-7)\/(280\/64))\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -j**7\/2016 - 17*j**6\/576 + j**4\/6 + 3*j**2 + 74*j. Let o(i) be the third derivative of u(i). Factor o(w).\nAnswer: -5*w*(w + 17)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26795 is divided by 1129.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.8 - -2.9. Let t = 0.48 + 0.12. Which is the second smallest value? (a) t (b) 1\/2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2270, -5\/9, 4\/7, -8, 1 in descending order.\nAnswer: 2270, 1, 4\/7, -5\/9, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -45612558.54 to the nearest 10000.\nAnswer: -45610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u**3 - 2*u**2 - 17*u - 44. Is 7 a factor of q(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1240 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -2840000 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 260\/(-29328)*(-2 + -18) and -35\/376?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-24)\/(-10))\/(14\/105). Suppose 2*n - 14 = m. Let b = 18 - n. Solve 0 = -b*h + 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 300153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 54103.44 milligrams in micrograms?\nAnswer: 54103440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24000 - -25700. Sort f, 4, -4.\nAnswer: -4, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000017762 to seven decimal places.\nAnswer: 0.0000178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2752928*u**2 - 7736546 wrt u.\nAnswer: -5505856*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 559 by 3.\nAnswer: 559\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 72 - 70. Which is the smallest value? (a) v (b) -2\/11 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-72)\/(-168) - 90\/14. Let c(x) = -3*x + 5. Calculate c(y).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18745\/3911 >= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f - 3. Let q(z) be the second derivative of -7*z**3\/6 + 5*z**2\/2 - 4*z. Calculate -10*i(y) - 6*q(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 490709*l - 490524*l = 6290 for l.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6024 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 12:56 AM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k - 1. Let w be h(2). Let p be (-110)\/25 + w\/5. Let g = 7 + p. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 90 - 89.5. Let q be (-10)\/6 + 2\/(-6). Which is the third smallest value? (a) o (b) q (c) 3\/5 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9386\/39)\/(2\/(-3)). Let q = -66 - o. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2396 - 3?\nAnswer: -2399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 1)*(-4)\/(-6). Let p = 7283\/155 + -47. Let n = p - -332\/1705. What is the closest to -1\/4 in n, s, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/184 and -81\/22126?\nAnswer: 88504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 6*l**2 - 9*l + 7. What are the prime factors of o(-7)?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/5 (b) 1\/2 (c) -199\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 15*b**2 + 179*b + 78. What is f(-15)?\nAnswer: 768","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3463*d**4 - d**3 + 1084*d**2 - 19801140*d?\nAnswer: -41556*d**2 - 6*d + 2168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b + 3. Let d(r) = 3*r - 8. Let p be (-1)\/(0 + (-3)\/(-33)). Calculate p*j(w) - 4*d(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xdtxtxtxtzkdtkxbtx. Give prob of picking 1 k and 1 b.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 8:27 PM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2593, -2591, -2589?\n\"Answer: 2*z - 2595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -153 divided by 67?\nAnswer: -153\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 27*t**2 - 291*t - 2098. Let b(o) = 43*o**2 - 437*o - 3146. Let u(j) = -5*b(j) + 8*p(j). What is the derivative of u(s) wrt s?\nAnswer: 2*s - 143","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2895096 by 6.\nAnswer: 482516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(2\/25)\/f)\/f)\/f*f\/f**(-2\/3))**49\/((f**(2\/7))**(1\/33)*(f\/(f\/(f*f\/(f**1*f)))*f)**(8\/9)) assuming f is positive.\nAnswer: f**(-1079536\/17325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*d + 23*d. Solve -4*u - 11 - 5 = d for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 157805 and 1054315.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -1100*m - 1072. What are the prime factors of z(-9)?\nAnswer: 2, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 815?\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4500.74 millilitres to litres.\nAnswer: 4.50074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f - 59309 = -2061. Let u = 7411 - f. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222891923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.2 + 4. Suppose 3*d = 3*k - 3, 2*k = -0*d + 5*d + 14. Let a = -3439 - -6881\/2. What is the second smallest value in d, x, a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2117 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: Collect the terms in -73494 + 73494 + 12471*d.\nAnswer: 12471*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 3:58 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000297075154 to six dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, s: 1, n: 2}. What is prob of picking 2 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 e, and 1 z when three letters picked without replacement from {e: 2, z: 3, b: 5}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2656 is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 12213 = 10*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**0)\/(t**(-5)\/t))**1)**(-3\/5) assuming t is positive.\nAnswer: t**(-21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -87 - -89. Solve -2*u + 6 = 0, 2*u - 6 = l*i + 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - n + 67 = 0, 596965 - 597036 = -4*s + 3*n for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -3*b + 2*b + 13, b + 11 = 3*y. Solve y = 4*u - 3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010110100100 + 110000110?\nAnswer: 1011100101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -17*u + 14. Suppose u*m - 3*z - 1854 = 0, 8*z = 3*m + 5*z - 2787. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by -190578?\nAnswer: -7\/63526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2696 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.052, 0.8, 8, 3 in increasing order.\nAnswer: -0.052, 0.8, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12667606 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 2*z - 401, l = -l - 2*z + 264. Let v = l + -53. Let d = 171 + v. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 0*z - 84. Let i be z\/(-12) - 2\/(-3). Suppose -7*t = -i*t - 4. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oeyeoeeoaoeoeoatpye. What is prob of picking 1 e and 1 a?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1321 (base 7) to base 16\nAnswer: 1f9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 7) to base 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-2\/3)*k)\/k)\/(k\/k**(-4\/7)))\/(k**(-5)\/(k*k\/k**(2\/11))) assuming k is positive.\nAnswer: k**(1289\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4.013 times -4226\nAnswer: 16958.938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 39 (b) -4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 3:58 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24500591077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 4*b**2 - 5. Give i(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 112434 and 56217.\nAnswer: 112434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19623?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 3:17 AM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 0*m**4 + 18 - 38\/3*m**3 + 0*m**5 + 0*m**2 + 0*m + 32\/7*m**7 + 0*m**6. Find the third derivative of t(j) wrt j.\nAnswer: 3840*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1766534364.\nAnswer: 2, 3, 7, 37, 41, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 933488627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 + 25 + 26 = 17*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-2)*x*x)\/(x*x**(4\/5))*(x*x\/(x**(-6)*x))\/x*(x*x**(-5)\/x)\/x*x*(x*x**1*x**(-5))**(9\/4) assuming x is positive.\nAnswer: x**(-51\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -6 (b) 199 (c) -5 (d) -3 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 157*r = -155*r - 20, 3*w = r - 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 638\/(-60) + (-18)\/(-54). Let f = 64\/5 + z. Which is the smallest value? (a) 0.5 (b) 0.1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 2*d = 170. Suppose -2*m = 2*j - 41 - 171, j + 414 = 4*m. Let l = m - 19. What is the highest common factor of l and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30.9 - 18. Let n = c - 13. Sort 0.02, n, 3\/5 in decreasing order.\nAnswer: 3\/5, 0.02, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2101232123 + 3?\nAnswer: 2101232132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + -1)*-3*1. Suppose -2*f + 0*f = 0. Suppose -3 + f = -v. Solve v*t = 18 - a for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**2\/2 - 8050*s + 629421\/2 = 0 for s.\nAnswer: -16139, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 845 (b) -0.04 (c) -16\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/6*-2*-1. Suppose -j - 9 = -5*y. Solve 3 = -3*v - 5*o, y*o - 3 = -2*v + 5*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -42 and -88205229.\nAnswer: -88205271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-657)\/(-18))\/(2\/4). Suppose f*n + 429 = 76*n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3.717294 days?\nAnswer: 321174201600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/81928 and -5\/11704.\nAnswer: 81928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 544*r**4 - 211*r**3 - 2*r**2 + 451521?\nAnswer: 2176*r**3 - 633*r**2 - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-20\/9)*q**(-6\/13)*((q*q*(q**(8\/11)*q)\/q)\/q*q)\/(q*q**(-16)) assuming q is positive.\nAnswer: q**(19361\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -208*b**4 + 193.\nAnswer: -832*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = h - 44 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**3 + 5 + 6 - 2 - 11*k**4 - 6 to q*k**4 + n*k**3 + t*k**2 + i + s*k and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of s**6\/10 - s**5\/4 - s**3\/3 + 9*s**2 + 41*s. What is the second derivative of f(l) wrt l?\nAnswer: 36*l**2 - 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -2 + (76 - 62) - -14\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -97, 4, 5 in descending order.\nAnswer: 8, 5, 4, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (8 - (-2 - -2)). Suppose -s*v + 5*v = 2085. Let i = -396 - v. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wei when three letters picked without replacement from {v: 2, w: 1, i: 1, l: 2, e: 1, d: 1}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*u**3 + 55*u**2 - 500*u + 160.\nAnswer: 5*(u - 4)*(u + 8)*(3*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-14)\/(c*c*c**(-11)) assuming c is positive.\nAnswer: c**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 333586 and 74329026.\nAnswer: 817619286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 1498*b**2 - b. Is j(3) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -194825302 at least -584475905\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -j - 1425. Let f = j + -284. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.972 rounded to 1 decimal place?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 + 22. Let f(v) = v**2 - 5*v - 5. Suppose 0 = 3*l - 2*l - 2*z - 34, l - 18 = -2*z. Calculate the remainder when l is divided by f(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 12590\/1236 - (-1)\/6.\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 + 6*a**2 - 6*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 339922 to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l*x**4 + l*x**2 + 101*l*x + l - 49*x**4 - 4 wrt x.\nAnswer: 12*l*x**2 + 2*l - 588*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 533 - 866 = -21*r + 3636. Solve -198 = -9*s - r for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3006 = -19*p + 3120 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 54. What is the common denominator of (-49)\/(-2) - 5\/b and 4\/(-14) - 1224\/(-238)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -b**4\/4 - b**3 + 3*b**2 + b - 4798. Calculate q(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4230467.\nAnswer: 17, 248851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0)**(2\/53))**(-3\/35)*((h**(1\/5))**7)**(-7\/6) assuming h is positive.\nAnswer: h**(-49\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 709375.\nAnswer: 6384375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 71819392349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3259907 rounded to the nearest one hundred thousand?\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -8*w - 64, -2*w = j - 5*w - 134 + 84 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -195 + 111?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 265256 divided by 265256?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 24*x - 1894. Calculate w(99).\nAnswer: 482","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/17, 68\/5, 18, -2\/13, 0.2?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*j = -20, -7*t + 9*t + 5*j = -21. Which is the fourth biggest value? (a) t (b) -2\/17 (c) -1\/5 (d) 0.009\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1409175707.\nAnswer: 23, 61268509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1579997?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/247 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -199, 2\/2833?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 9 = 2*x. Let z be 8\/5 - (-4)\/x. Suppose -w - 77 = -z*w. What is the greatest common factor of 11 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -51*l**3 + 87*l**2 + 636*l - 672 = 0. What is l?\nAnswer: -56\/17, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2. Let s(i) be the second derivative of i**4\/4 - 10*i. Give g(s(o)).\nAnswer: 18*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-30)\/18*(-126)\/70. Let i(l) = -l**2 + 13*l - 26. Let o be i(c). Solve 0 = -2*z - o*f + 3*f + 14, -2*z + 6 = -f for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + (196\/(-20) - -6). What is the closest to -2\/5 in -1\/3, 2\/11, g?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 101 - -2. Let p = n + -1029\/10. What is the nearest to -1\/3 in p, 0.2, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.57666 rounded to 0 decimal places?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 47458672910 rounded to the nearest one million?\nAnswer: 47459000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -r**3\/2 - 11*r**2\/2 - 30*r - 3. Give h(-9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y + 4. Let n be z(-3). Let g be n\/7 - 3\/6*2. Is 181 - g*(-1 - (-6)\/4) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 3 - 1. Let h(k) = k**3 + k**2. Let o be h(m). Suppose o = -2*c + 3*j + 2, 0 = 4*c - 4*j - 8 + 4. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2257708 divided by 143.\nAnswer: 2257708\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1230307.7201 rounded to the nearest one thousand?\nAnswer: -1230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-9)\/b**(-1)*b**(2\/3)*b\/(b*b*(b**(-2\/11)\/b)\/b))**(-42))**41 assuming b is positive.\nAnswer: b**(116522\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -667\/7 + 95. What is the second smallest value in f, -0.1, -1, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-4*(sqrt(27)*3 + sqrt(27)).\nAnswer: 96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y**2 - 5*y - 3. Let x be b(-3). Let z = x - -10. Let o = 0.001 + 0.099. What is the nearest to o in -4, z, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.05 (b) 3\/7 (c) -2 (d) -0.4 (e) -328 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -42*c + 205. Let y be u(5). Suppose 5*s - 11 = 4*s + 3*w, 5*w + 15 = 0. Put y, 5, s, 4 in decreasing order.\nAnswer: 5, 4, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 12440997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 26389.3 micrometers?\nAnswer: 2.63893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/15*(-7 - -1). Let j(d) = -17*d - 29. Let o be j(-2). Suppose -10 = o*g - 5*h, 5*g = h + h - 4. Sort -5, g, y, -2.\nAnswer: -5, -2, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/2 and -14\/9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2521 (base 6) to base 2\nAnswer: 1001110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -758 + 752. What is the third smallest value in 2\/9, 0, -3\/8, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113143310 (base 7) to base 2\nAnswer: -11010100101011000110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300*z - 5291 + 5098 = -8626 - 6567 for z.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -252\/842923?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5020936913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 8:21 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 278128 - 312814 = 0. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 114 - -5054?\nAnswer: 5201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -16 + 24*p**5 - 13*p**5 - 16*p**5 - 33*p. Differentiate s(o) with respect to o.\nAnswer: -100*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 971\/400 - 56\/25. What is the second smallest value in r, 1, 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 0*b**2 - 6061 + 6042 - b**2 - 24*b. Let i be j(-23). Solve 2 = -3*q - i*o - 5, 4*q - 32 = 5*o for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2489*27.\nAnswer: -67203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1*((sqrt(684)*2 + -1)*6 + sqrt(684) + -1*sqrt(684)*-1 + (sqrt(684) + -1 + -5 - sqrt(684))))**2.\nAnswer: -2016*sqrt(19) + 134213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + o + 7. Let y be j(0). Find the first derivative of 6*l**2 + 7 - y*l**2 - 4 wrt l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*w - 560 + 218 = 25*w. Find v, given that -2\/17*v**2 + 0 + 0*v - 8\/17*v**w = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -27, -222, 5, -2 in decreasing order.\nAnswer: 5, -1, -2, -27, -222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 8*y**2 + 7*y - 22. Give j(-8).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 - 12 = n + 2*i, -n - 8*n + 170 = 4*i for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -45 in 1\/5, -2, -2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -458.193273659 + 57.\nAnswer: -401.193273659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -210.7 - -211. Which is the closest to 0.1? (a) -27 (b) 2\/5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -47\/8, 0.4, -3, 5 in descending order.\nAnswer: 5, 0.4, -4\/5, -3, -47\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36734420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 3:36 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -o + 11, 4*p - 6174 = -5*o - 6131 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 3) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 9, l: 8, b: 2}. What is prob of picking 2 l and 1 q?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1168.55 - 0.2?\nAnswer: 1168.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00367524 rounded to four decimal places?\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1121 (base 6) to base 8.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0173 to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -108 + 206. Suppose -a = a - o. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14519 + 21550. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/124 and 19\/2?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1.4574287 times -0.4\nAnswer: 0.58297148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d - 6*d - d + d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1607.1 + 1607. Sort v, 146, 0.3 in decreasing order.\nAnswer: 146, 0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*4\/(-3) - 1. Suppose -x*c + 4*m + 265 = 0, c - 118 = -5*m + 2. What is the highest common factor of 38 and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -208456 minus 15?\nAnswer: -208471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 25*y**2 - 357*y + 3073. What is l(33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 113580973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3822139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(0 - -2 - 4). Suppose u - 3 = -p*h - 0, 2*u - 6 = 5*h. Let m(a) = a. Let o(f) = -5*f + 1. What is u*m(r) + o(r)?\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 101 divided by -493\nAnswer: -101\/493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and 272514415?\nAnswer: 272514415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6309*w**3 - 7164 wrt w?\nAnswer: -18927*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 4*p + a = 11, -a - 1 = 0. Let q be (-1)\/((-2)\/30*-3). Sort 1, q, p.\nAnswer: p, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 270 - 26. Let y = w + -246. Sort 4, 2\/9, 8, y in increasing order.\nAnswer: y, 2\/9, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 113\/704 - -1647\/704. Determine r, given that -11*r**2 + 6*r + 3*r**5 + v*r**4 + 4 - 27\/2*r**3 = 0.\nAnswer: -2, -1, -1\/2, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 54?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -41 (b) 5 (c) -1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u + 10 = 14*u + 2*a, -2*u - 5*a = -6. Put u, -4, 3, 28 in ascending order.\nAnswer: -4, u, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of 5*b - 11\/6*b**3 + 0*b**2 + 0*b**5 + 11\/30*b**6 + 0*b**4 + 0. Find the second derivative of x(u) wrt u.\nAnswer: 132*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in 2\/31, 8, 5, -0.1, 16?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4225463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.70177 millilitres?\nAnswer: 0.00070177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 3:27 PM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -8 - 1. Let p(j) = 0*j + 6*j + 4*j**2 - 3*j - 5*j**2 - j**3 - 1. Calculate p(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4 + s**2 + 5*s + 1 + 1 - 3. What are the prime factors of b(-12)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/404, -0.3, 0.05, 0.1, 1\/14?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-18)*(-178200)\/(-13860).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-5 + sqrt(500)*1 - 2*1*sqrt(500) - (3 + sqrt(500)*1 + sqrt(500) + sqrt(500) + (sqrt(500) + 0)*-1)) + 3)**2.\nAnswer: 2280*sqrt(5) + 18361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -101017*b - 155*b**2 + 101017*b + (5*b - 6*b + 0*b)*(-2*b - b + b) - 2*b**2 + 5*b**2 - 2*b**2.\nAnswer: -152*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 0*n - 5*f + 16 = 0, -4*n + 3*f + 2 = 0. Let v be (-1 - -1 - 0) + n. Suppose v*w + 2*w - 24 = 0. What is the greatest common factor of w and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.03 - -0.43. Let l = -119 - -118.5. Sort 1, l, d.\nAnswer: l, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -19, -9, 25, 95, 213, 391, 641?\nAnswer: 975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65 - -54. What is the derivative of -107*n**4 + 3*n**2 + y*n**4 - 3*n**2 - 42 wrt n?\nAnswer: 48*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.223 times -0.2?\nAnswer: -0.0446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 690 and 278.\nAnswer: 95910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 16. Suppose w*h - 1100 = 8*h. Round h to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -211 at least -211?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4*s. Let i(q) = q**2 - 6*q - 5. Let u be i(7). Determine w(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4)*(0 - 4 + 2)*(-12*u + 0 - 3*u - 1).\nAnswer: 60*u + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/3 - 198*k**2 + 1004*k - 2416\/3.\nAnswer: -2*(k - 4)*(k - 1)*(k + 302)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dqj when three letters picked without replacement from {j: 9, w: 3, q: 2, s: 3, d: 1, f: 1}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001700509 to six decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1500463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**4 + 0*b**4 - 3*b**4)*(0 - b + 0)*(0 + 1 + 1).\nAnswer: 4*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*v + 2 = 4*d, 4*d - 4*v + 24 = 0. Let o be (0 - -10)*64\/160. What is the closest to -0.2 in d, 3, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8836)\/799)\/(36\/(-306)).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 2673960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one quarter of a hour?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -924 in -2\/25, -0.5, 3, -4, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 48*y**2 + 15 - 51*y**2 in the form g + w*y + i*y**2 and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (16 - 5) + -9 - (-8)\/(-2). Which is the closest to -0.04? (a) 4 (b) -7 (c) v (d) -41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(7920) + (sqrt(7920)*2 - sqrt(7920)))\/sqrt(11)*-6 + -2)**2.\nAnswer: -3456*sqrt(5) + 3732484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*y - 34. Let l = 58 + y. Calculate the greatest common divisor of l and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b**2 + 6*b - 4. Let f = -8238 + 8240. Determine c(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = k + 401 - 545, 2*k = 2*j - 132. Calculate the remainder when 1957 is divided by j.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d**2 + 5*d**2 + 0*d**2)*(2*d**2 - 7*d**2 + d**2) + 2 + 8*d - 3*d**4 - 4*d - 3*d.\nAnswer: d**4 + d + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34 - 40) + (2 - -1) - 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*w - 108. Let r = 61 + w. What is the remainder when r is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 8:49 AM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5 = r, -2*r - 2*w = -w + 5. What is the tens digit of r\/9*0 + 32?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/45 and 57.1539 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -b**8\/3360 - b**7\/840 - b**4\/4 - b. Let d(x) be the third derivative of z(x). What is the third derivative of d(m) wrt m?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/8, 4.6, -1\/3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**3 + 2585*m**2 + 39830*m + 37240.\nAnswer: -5*(m - 532)*(m + 1)*(m + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -w**4\/12 + 5*w**3\/2 + 3*w**2 - 17*w - 17. Let x(b) be the first derivative of q(b). What is the units digit of x(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 8994 = -3*n - 520, -3*n = -4*r + 9518. Round n to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -56639*q**2 + 836*q - 27588. Let k(p) = -203*p**2 + 3*p - 99. Let g(u) = 836*k(u) - 3*v(u). Let a(b) = 3*b - 1. What is g(a(i))?\nAnswer: 1881*i**2 - 1254*i + 209","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/((s\/(s\/(s\/(s\/(s**1*s)))))\/s))**(1\/5))**(-11))**(-45) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 327 = 3*n, 3*v + 18 - 341 = n. Suppose 0*g + v = 4*g. What is the remainder when 77 is divided by g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 12 + 16 - -11 - (-1 + 1).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) 2\/9 (b) -12\/101 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8081 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 5*h**2 - h**2)*(416 + 627 - 17*h - 18*h - 66*h + 103*h).\nAnswer: 6*h**3 + 3129*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 + 114?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n = 12*n - 4 - 17 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 2:57 AM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*u = 39*u - 10, -5*n - u - 10 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**3\/3 + 472*k**2\/3 + 287*k\/3 - 190\/3 = 0. Calculate k.\nAnswer: -1, 2\/5, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 332*i - 305*i + 605*i + 1669 = 27581 for i.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or -1.597?\nAnswer: -1.597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 328 a factor of 128248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -15 + (0 - -1) + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-117)\/(-78)*(-2)\/6*-3*6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 153, -1\/4, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11*(4 + (-210)\/55))\/(1 + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 8) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8900 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -173.\nAnswer: -519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + m + 88. Let o be (m\/16)\/(3\/6). Let c = o + 25\/12. Sort c, 4, -5 in decreasing order.\nAnswer: 4, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -48.15 from 1302506.\nAnswer: 1302554.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 5:41 PM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 14*k**2 - 2*k - 2. Let a(v) be the first derivative of 5*v**3\/3 - v**2\/2 - v - 4728. Give 11*a(r) - 4*p(r).\nAnswer: -r**2 - 3*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 5*m + 3. Let a = 326 + -316. Suppose 0 = -3*b - 4*x + 19, -9 = a*b - 11*b - 4*x. Give y(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 17*x - 8. Let h be a(11). Suppose 533 = -0*c + 2*c + 5*w, h = 4*c - 4*w. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-22)\/44)\/(2\/(-168)). Calculate the greatest common factor of 1442 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 140, 150, 156, 158, 156, 150?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*n - 2*s = -24, 5*n = -4*s + 63. Suppose -3509 = -3*u + 4*d + 1326, 3*d = -n. Suppose u = 9*i - 4*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2. Let f(v) = -v + 5. Let q(g) = -f(g) - 5*i(g). Let m(x) = 6*x**2 + 6. Suppose 0 = -0*r + r + 4. Let s(p) = r*q(p) - 3*m(p). Factor s(c).\nAnswer: 2*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.1 - -1.3. Let h = 71 - 71.79. Let p = h - f. Round p to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -y**5\/60 - y**4\/4 - 2*y**3\/3 - 1444*y**2 - 3. Let w(t) = 0*t - 1 - t + 3*t. Let k be w(-1). Determine l(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 - 46.7. Which is the fourth biggest value? (a) i (b) 1 (c) -4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, c: 1, w: 2, q: 1, y: 11}. What is prob of picking 1 s and 1 q?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = j - 74. Let d = j + -74. Calculate the least common multiple of 8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66580 (base 14) to base 16.\nAnswer: -3c8f4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.43 + -3.43. Let j = -1 - -1. Which is the closest to 1? (a) 0.2 (b) m (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/4 - 3*h**2\/4.\nAnswer: h**2*(h - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a microgram in nanograms?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54 + (-61 - 34) + 131?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199530 is divided by 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-183 - -193) + -1 + -65 + -2?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -10*a**2 + 8*a + 1. Let m = 376 - 371. Let q(c) = -9*c**2 + 7*c + 1. Give m*u(v) - 6*q(v).\nAnswer: 4*v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zg when two letters picked without replacement from {z: 9, g: 3}.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, v: 3}. What is prob of sequence oo?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 54683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 6 = -0*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 217*c*l**2*m + 20*c*l**2 - 2*c - 3*l**2*m - 5*l**2 with respect to m.\nAnswer: 217*c*l**2 - 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 588\/23, -0.3, -0.4, 4\/7 in ascending order.\nAnswer: -0.4, -0.3, 4\/7, 588\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 22057868.\nAnswer: 551446700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5 (b) 0.2 (c) -1 (d) -7\/9 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 57 - 30. Suppose 6*o - 2*b = 3*o + 123, 0 = 3*b - 9. Suppose -3*t + o = 3*v + v, -4*v = 5*t - 45. Calculate the remainder when g is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(7)*-3 + (sqrt(847) + -4 - sqrt(847)))**2*-2*3.\nAnswer: -13704 - 864*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - x**2 - 17*x + 17*x)*(2*x - 4*x + 0*x) to the form y + i*x**3 + o*x**2 + a*x and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (5005\/104)\/(-11) - 534\/32*-2.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dko when three letters picked without replacement from {d: 1, p: 1, b: 2, o: 3, k: 7}?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9973 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 265710.\nAnswer: 2, 3, 5, 17, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 53915 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y - 27*y + 9*y + 223*y**2 + 7*y + 39 - 213*y**2.\nAnswer: 10*y**2 - 3*y + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-2)*0\/(3\/1). Solve -g - 4*g = b for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.059374 rounded to four dps?\nAnswer: -0.0594","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001101101111010010 (base 2) in base 4?\nAnswer: -1031233102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h + 21. Let z be v(-7). Let u be 3\/(-9)*z - (-16)\/(-24). What is u rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 8*y + 7 + 6*y + 7.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 17, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.76157 rounded to two decimal places?\nAnswer: 2.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1))**(-1\/7)\/(((u**0\/u)\/u)\/u*u\/u**(-2\/5)) assuming u is positive.\nAnswer: u**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p + 80*p**3 - 148*p**3 + 3*p + 2 + 70*p**3 + 0*p. Calculate q(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -35, 3, -2, 2 in increasing order.\nAnswer: -35, -2, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.8, -2\/17, 1.9?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 + (1 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -3*q + 0 - q**2 + 1\/6*q**3. What is k(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*1 - ((-2 - -11) + -12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -437*w + 442*w + 26, -16 = w - 5*j for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -d - 4*k, 3*d + 2*k + 218 + 22 = 0. Let r be 62\/(-4)*(-1147)\/222. Let o = r + d. Is o <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, i: 3, a: 4, n: 6}. What is prob of sequence ibn?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(-1\/8)*a*a)\/(a\/a**(-5\/4))*(a**(-7)\/a)\/(a\/(a*a\/a**0))*(a**1\/a)**(4\/5)\/((a\/a**(2\/5))\/a**3) assuming a is positive.\nAnswer: a**(-119\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (36\/8)\/(3\/(-6)). What is the tens digit of (-137)\/(-9) - (-2)\/i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41 + 26. Let f(s) = -2*s - 19. Let o be f(j). Differentiate -o + 4 - 7*q**3 - 2 - 7 with respect to q.\nAnswer: -21*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 5*t + 7 - 132, -4*t - 4*j + 100 = 0. Suppose -5*u = t, 2*u + 2*u = -5*g + 245. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 12*n - 127. Let b = 22 + 10. What is the remainder when b is divided by k(12)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1679)\/1460)\/((-14)\/1008*9).\nAnswer: 46\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 3 = 4*n, 4*n = -n + q - 20 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-570)\/9)\/2*(-423)\/705\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-5 - 4) - -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*y - 136*y = -47*y + 244*y - 15*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w*w**13*w**(-5) assuming w is positive.\nAnswer: w**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32222113331 - 211?\nAnswer: -32222120202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -7 - 8 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1222024 (base 6) to base 5\nAnswer: -4041443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 891954*o**3 - 10*o**2 - 43875342*o wrt o?\nAnswer: 5351724*o - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -132643.\nAnswer: 16\/132643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 8. Suppose -20 = -t*z + 6*z. Is (-2024)\/z - 33\/(-55) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/17? (a) 0.05 (b) -3\/5 (c) 5 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*f**3 + 103*f**2 - 208*f**2 - 35*f + 99*f**2 + 36*f to n*f + o*f**3 + w + i*f**2 and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 2965815.\nAnswer: 2\/2965815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(0 - -1))\/((-148)\/(-2812)). Solve -4*v = -3*j + k, -5*v - 2*j - j = 17 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1017902 is divided by 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 2*q - 3*q - 12 = d + 7*q + 4, 8 = -6*q - 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3*-163.459\nAnswer: -490.377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 125381+-54699\nAnswer: 70682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1145 = -3*t - 5*v, -t = -2*t - 3*v - 375. Let n = -358 - t. Let u(k) = -k - 2. Let j be u(-6). What is the greatest common divisor of n and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21.954 + 0.046. Let m = y + -21.8. Which is smaller: m or 18?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-51)\/6 + 4)*(-2)\/(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*u**2 + u**2 + 0*u**2)*(5 - 5 - 3*u)*(24*u + 13*u - 16*u) - u**4 + u**4 - 2*u**4 as f*u**3 + k*u + p*u**4 + t + z*u**2 and give p.\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 32 = 28. Suppose n + 10 = 5*u. Let j = 1 + -1. Solve -4*q = -j*r + 4*r, u*q = 3*r + 16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/5*(-10)\/2. Let t be (0*(-2)\/(-8))\/(-1). Let w = -374 + 375. Which is the second smallest value? (a) w (b) t (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 165123430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/45)\/((-12)\/24 - 7\/(-18)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -1 - (-1 + 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 406310680 to the power of 1\/2, to the nearest integer?\nAnswer: 20157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 215993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 72, -0.5, 420?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**2 + 14*g - 10. Let c be 1\/((-38)\/10 - (-25 - -21)). What is z(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 419612\/46 - (-21)\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3)*(139 - 6277*v + 146 + 136 - 421).\nAnswer: 6277*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + 0.15. Let v = 5.35 - z. What is v rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 0 - (-4 - -88) - (30 - 54 - -11).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-10\/7))**(-2\/9)*(v\/v**(-3)*v)**(2\/9) assuming v is positive.\nAnswer: v**(10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 47 - (-3 - 15\/(-5)). Suppose -3*c = c - 28. Suppose n - c = 5*k. Calculate the remainder when 21 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13311 to the power of 1\/2, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, l: 1, w: 1, g: 3, e: 5, j: 1}. Give prob of picking 1 w and 1 g.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**4 + 6*h**3 + 21*h**2 + 12*h.\nAnswer: -3*h*(h - 4)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f = -7*f + 8*f. Which is greater: f or -3\/1757?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v + 6*v**2 - 9*v**3 + 20 - 6*v**2 - 3*v - 2*v**2 to j + l*v**3 + q*v**2 + c*v and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 j when two letters picked without replacement from poggjgjgmpmppgggj.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3132263 is divided by 1566128?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12120212202011 + -12?\nAnswer: -12120212202100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + 28 - 40 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t - 19. Give w(-13).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -334*y**2 + 1. Let o(n) = -1777*n. What is z(o(w))?\nAnswer: -1054681486*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00091212 to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-1*1*(-6*(sqrt(65) + -1*sqrt(65)))\/(-1*sqrt(320) - sqrt(320)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -9 (b) -0.1 (c) 1.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4746 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 4*n + 1. Let s be t(5). Let g(c) = c**3 - 5*c**2 + 2*c - 5. Let b be g(5). Let z = b + -8. Put s, z, -2 in increasing order.\nAnswer: s, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 16*j. Let r(o) = -5*o**2 + 771. Determine c(r(w)).\nAnswer: -80*w**2 + 12336","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -276 + 279. Solve 5*m + 2 + g = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8453*w - 8178*w + 2475 = 0 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1383, -32, -6, -2, 2 in decreasing order.\nAnswer: 1383, 2, -2, -6, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u - 21 - 99 = 0. Let y(a) = 29*a - 230. Let j be y(u). Solve j*n + 5*n = -14 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 348\/1276 - 48\/(-66). Calculate the greatest common divisor of 881 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -93 * -92.\nAnswer: 8556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a. Let d be n(2). Let v(t) = t**2 + 0*t**d + 0*t**2. Let r(k) = -k. Determine r(v(o)).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2380656*d**2 - 2*d + 2*d - 2380683*d**2 + 4761359*d**2.\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20236 + 607177\/30. Calculate the common denominator of -83\/6 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 703, 1579, 2469, 3379, 4315, 5283, 6289, 7339?\nAnswer: 8439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39 by -18.\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -57*h**2 + h + 1. Let k be i(-1). Let z be 9\/6 + k\/42. Sort z, -0.08, -1\/4 in increasing order.\nAnswer: -1\/4, -0.08, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -714*t + 818*t + 2392 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -5*o**4 - 290*o**3 - 1605*o**2 - 2360*o - 1040 = 0.\nAnswer: -52, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 6 + -8 + (-607 - -1). Let i = p - -608. Solve -w + 12*w + 44 = i for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**3 - 3*r**3 + 11*r - 11*r.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((1 + -2)*-105)\/1. Let a = -20 + j. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -14, 394.\nAnswer: -14, -4, 1, 394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*g + 93 + 4 = 27 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27 (base 12) to base 8.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l + 0 + 0)*(2*l**2 + 24 - 21 - 4*l**2) to r + q*l + b*l**2 + f*l**3 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + ((sqrt(550) - sqrt(550)*-2)*-5 - sqrt(550) - sqrt(550))\/(sqrt(11) - -2*-3*sqrt(11)))*-4.\nAnswer: 80 + 340*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6330 (base 11) to base 8.\nAnswer: -20276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.7 + 1.2. Sort f, 1, 0.2 in ascending order.\nAnswer: f, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-2))\/((-1)\/2*2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 + 0)*(-4 + 2*d + 4)*(-2*d + 2*d + 2*d**2)*(268 - 636 + 284).\nAnswer: -1344*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkttkk. What is prob of picking 1 t and 2 k?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-16)*(-6)\/9*6. Let m = b + 29\/20. Which is bigger: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*j + 29 = 0, 2*k - 3*j + 4 + 27 = 0. Let n = k + 23. Let d = 9 - n. Solve -p - 3*l - 7 - d = 0, -4*p + 40 = -4*l for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -4 (c) -9 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 27 = 9. Suppose -4*i = -h*i. Let v = -11 - -9. Sort v, 4, i in ascending order.\nAnswer: v, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 2*f - 21 + 20, -3*o - 3 = -3*f for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 3. Suppose 3 = 3*q + s*w + w, 3*w - 9 = -5*q. Suppose q*y - 2*c - 7 = -c, -5*y + 5*c + 5 = 0. Solve y*p = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**4 + 80*t - 3*t**4 + 3*t**4 + 2*t**3 + 7*t**4 + 27*t in the form h*t**3 + d*t + x*t**2 + g + y*t**4 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 24*n**2 + 2. Let z(f) = -930*f. Calculate z(c(o)).\nAnswer: -22320*o**2 - 1860","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/15))**(-46) assuming k is positive.\nAnswer: k**(92\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 6, 3, -46, 22 in increasing order.\nAnswer: -46, 0, 2, 3, 6, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 12*n**2 - 100*n + 19. Determine c(8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -124, -7, -3 in ascending order.\nAnswer: -124, -7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*b + 236*b - 369*b + 233*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 j when two letters picked without replacement from {j: 4, u: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/(-3) - 0\/3. Solve 0*c + o*c = -10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 45\/(-90) - 22\/(-4). Suppose -s*h = -2*i - 20, 2*i + h - 12 = -8. Solve 2*u - 3*k = -8, 5*u + 3*k = 1 - i for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 246588 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2829351*j**2 - 9358711*j wrt j?\nAnswer: 5658702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 r, and 2 d when four letters picked without replacement from {d: 2, x: 3, c: 1, g: 3, r: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 213245965*r**5 - 13*r - 3501469 wrt r.\nAnswer: 4264919300*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -16*p. Let n(q) = 4*q + 3. Let g(w) = 3*w + 2. Let l(d) = 3*g(d) - 2*n(d). Let f(z) = -z**2 + 3*z. Let i(b) = -f(b) + 3*l(b). Determine i(v(j)).\nAnswer: 256*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 12:04 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.464904 millennia in years?\nAnswer: 7464.904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**5\/3 - 14*b**3\/3 + 4*b**2 = 0 for b.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1782 + -1780. Let p(j) be the second derivative of -1\/12*j**4 - 4*j + 0 - 3\/2*j**h + 1\/3*j**3. Let v(d) = -5*d**2 + 9*d - 13. What is -18*p(t) + 4*v(t)?\nAnswer: -2*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 11526 = 4*l + 11549, 3*c = 18*l + 81 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 18\/(-81) - 20478\/(-54)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*l - 4. Suppose 0 = 19*a - 24*a + 20. Suppose -y = 5*r + 4*y - 35, a*r - 3*y = 0. What is the lowest common multiple of r and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 0 (b) 1.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 93, 129.3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4540410691 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27532877*p**2 - 27533027*p**2 + 55065884*p**2.\nAnswer: -20*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1*u)**(-16)*((u\/(u*u*u**(-2\/9))*u)\/u*u)\/(u\/(u*u*(u*u\/((u**(-5\/4)*u)\/u))\/u))*((u*u*u**(1\/3)*u)\/u)**7\/(u**(4\/7)*u**(-2\/19)) assuming u is positive.\nAnswer: u**(-60619\/4788)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-7)*k**(6\/7)*(k**3\/k)**(-22) assuming k is positive.\nAnswer: k**(-351\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -43*o - 28. Let j(d) = -22*d - 13. What is -6*b(l) + 13*j(l)?\nAnswer: -28*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*h**2 - 5 - 5*h**2 - 3*h**2 to the form w + v*h**2 + d*h and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2879617.5 minutes?\nAnswer: 1999.734375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 48017, -2?\nAnswer: 48017","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, -0.05, -1\/3, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i + 1. Let x(g) = -8*g - 2. Let o(p) = 14*q(p) + 2*x(p). Let m be o(5). Suppose -c - 3*c = 0. Solve m = -w - 4 - c for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 10*l**2 + 11*l + 3. Let k = 10 + -21. Let a be o(k). Solve -a*g = 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 89 = 3*r - 324, 0 = -5*r + 3*o + 393. Is 18 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 413652 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8 + (-2)\/(-4)*4. Solve x - 10 = 3*x - i, s = -2*x + 4*i for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.747755 milliseconds in nanoseconds?\nAnswer: 2747755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 65276, 65277, 65278, 65279, 65280, 65281?\n\"Answer: h + 65275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jr when two letters picked without replacement from {j: 1, q: 1, r: 5, c: 2, o: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**2 + 4*s + 4. Let x(m) = -14*m**2 + 21*m + 21. Let c(o) = 21*h(o) - 4*x(o). Let r(l) = 3*l. Determine r(c(t)).\nAnswer: -21*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 295*s. Let h(x) = -29*x. What is q(h(z))?\nAnswer: -8555*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(104))\/sqrt(8))**2 + sqrt(117)\/(1*sqrt(9)).\nAnswer: sqrt(13) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6331560*h**4 - 6743781*h.\nAnswer: 75978720*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7 - 3)*3\/6. Suppose -5*l = f*c - 45528, -16*c = -21*c + 5*l + 113855. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.206 + -1.794. Which is the nearest to o? (a) 4 (b) 3 (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33925971.\nAnswer: 3, 11308657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(228\/(-1368))\/((-6)\/(-18))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -225947548*r**3 + 52994032*r**2 + 4*r wrt r?\nAnswer: -1355685288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/9)\/((-76)\/(-18) - 4). Sort 22, x, -4 in increasing order.\nAnswer: -4, x, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -52264, -50046, -44010, -32242, -12828, 16146?\n\"Answer: 319*y**3 - 5*y**2 - 52578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 269\/824 + 5\/103. Which is the nearest to -3? (a) -0.1 (b) n (c) -4 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 7*s + 5533 = 17941. What is the hundreds digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 175 and 275.\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -28*j**2 + 869*j + 7416. Calculate s(38).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*z + 322 = 1294 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42 or 4?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3507 + -12.\nAnswer: -3519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12321102 (base 4) in base 13?\nAnswer: cb16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 579 - 341. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 506043 (base 9) to base 7\nAnswer: 2355432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 124716 to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*x**2 - 6 - 15*x**2 + 2 - 43*x + 19*x**2 + 5*x**4 + 39*x in the form h*x**3 + f*x**2 + p*x**4 + v + m*x and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-6) - (-35)\/3. Let j(p) = 74*p + 1266. Let q be j(-17). What is the greatest common divisor of d and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 7*o + 574. Let k be s(0). Suppose 0*i = 2*i - 4*n - k, -5*n - 1157 = -4*i. Round i to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 291, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 447 and -0.01.\nAnswer: 446.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/8)\/((-1)\/4). Suppose 0 = -v + l*q + 33, 8*q = -5*v + 3*q + 225. Is 8 a factor of 1\/4 - v\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -4*r + 2*t, 5*r - 33*t + 31*t - 37 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1370 + 1372. Solve 3*u = 5*t + 4, s*u - t = -2*t + 7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-10)\/n)\/(n**(1\/3)*n))**32 assuming n is positive.\nAnswer: n**(-1088\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1247066409?\nAnswer: 3, 415688803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 7*a**2 - 8*a + 6. What is t(5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3174*d**2*s + 7538*d**2 + 852*d*s**3 - 2*d + 39 wrt s.\nAnswer: 3174*d**2 + 2556*d*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*o = 104, 2*m - 2*o - 121 = -45. What are the prime factors of m?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 76 = -446*m + 450*m, -4*f = 6*m + 94. Let g be 4\/6 - (0 - 0). What is the nearest to 1 in f, -0.2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 4*g**4 - 1028*g**3 + 5996*g**2 + 7028*g = 0.\nAnswer: -1, 0, 7, 251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1714 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: Which is bigger: 2335 or 53736\/23?\nAnswer: 53736\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20619*q**3 + 21352 wrt q?\nAnswer: 61857*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -6215?\nAnswer: -6211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2142 and 54876?\nAnswer: 1152396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**4 + 0*i**4 - i**4 + (0*i - 2*i + i)*(110 + 5 + 25)*(i**3 - 3*i**3 + 0*i**3) to the form w*i + j*i**2 + k*i**4 + g*i**3 + l and give k.\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6\/52*(11 + -1*(-536)\/(-48))\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3924989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g - 5. Let f be ((-6)\/(-15))\/(2\/(-10)). Let x = -7 - f. Let y be s(x). Solve 2*r + 5*n + 12 = 0, -4*r + n + 20 = -y*n for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328*w - 854 - 550 = 369*w + 400 for w.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2066, 2088, 2124, 2174?\nAnswer: 2238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -234*r - 50593 - 64204 + 89291 for r.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 374.4883 millilitres to litres.\nAnswer: 0.3744883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1133, 942, 625, 182?\nAnswer: -387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 136 - 120. Let l(i) = i**3 - 11*i**2 - 11*i + 38. What is the tens digit of l(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1524 = 255*p - 66*p - 933 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t + 23. Let v be g(-18). Suppose 2*m = 4*r + 48, -v*m = 2*r - 19 - 41. Let z = 113 + m. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 2.892561\nAnswer: 5.785122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1238 and 110193142.\nAnswer: 1238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -328 by -164.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -100 + 109. Calculate the least common multiple of 90 and w.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -0*d - 3*d. Let z be (-6)\/8 + d\/(-24). Let a be z\/(-1*6\/(-9)). What is the third biggest value in -3\/2, 0, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from {j: 1, z: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95471604?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -586.5 + 586. What is the nearest to -0.1 in g, 5, -8\/9, -3\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -4 + 4 + d. Let y(r) = -5*r + 2. Let p(l) = 21*l - 9. Let w be ((-9)\/(-1))\/(-5 + 4). Let c(b) = w*y(b) - 2*p(b). What is c(z(i))?\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-4*sqrt(14))\/sqrt(2) + 0).\nAnswer: -20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1130\/209 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (26 + -26 + -7 - (3 + -13) - 50)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -25, -17, 5, 47, 115, 215?\nAnswer: 353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1818 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*h**3 - 111*h**3 + 29*h**3 + 48*h**3.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 21\/171*(-240)\/(-168)*21\/35\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30526 is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*d + 40*d + 10843680 = 115*d. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -4*u - 69. Let n be j(-18). Suppose l - t - 12 = n*t, 5*t = 4*l - 26. Solve 6 = 5*q - l for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*i + 50 = 100*i. Let u = -120.4 - -120. Let f = 0.5 + -1.3. Which is the third smallest value? (a) f (b) i (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.038984 nanometers to centimeters.\nAnswer: 0.0000004038984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 4069.\nAnswer: 4\/4069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1\/3*20049 + 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 2:33 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -2*z**7\/15 - z**4\/2 + 2*z**2 + 17. Let k(h) be the second derivative of w(h). What is the second derivative of k(b) wrt b?\nAnswer: -336*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2760 and 72?\nAnswer: 8280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 0*q = -4*n + 28, q - 3*n = -11. Let r be 9\/(-36) + 721\/q. Calculate the highest common factor of 20 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 36, 38?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2103202002 (base 4) in base 2?\nAnswer: 10010011100010000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b**3 + 2*b**2 + 8*b + 4. Let r(k) = -3*k**3 - 7*k - 3. What is -3*r(s) - 2*x(s)?\nAnswer: s**3 - 4*s**2 + 5*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 9*b**2 - 7*b - 6. Let c(z) = 8*z**2 - 6*z - 5. Give 7*c(f) - 6*v(f).\nAnswer: -6*f**3 + 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - p - 15 = 5*q, 15 = -5*q - p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 21, 37, 69, 123, 205?\n\"Answer: g**3 + 2*g**2 + 3*g + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 1\/2519452144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -7*h**6\/30 - 3*h**3 + 24*h. What is the second derivative of a(w) wrt w?\nAnswer: -84*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -270 + 294. Solve r*d = 31*d - 14 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (67\/44622*-36)\/(2\/4)?\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2846432?\nAnswer: 2, 88951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 4.9924. Round h to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 9*s**2\/2 + s - 1. Let h(a) = a**2 - 2*a - 16. Let n be h(-3). Give r(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -4*q + 12 - 9 + 2*q. Let p = 12 + -17. Let w(l) = -l + 2. Let k(n) = n + 3. Let a be k(0). Determine a*y(c) + p*w(c).\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 0*c - 20. Suppose 48*l - 67 = 2*a + 45*l, 2*l - 114 = 4*a. Is c\/130 + (-29090)\/a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-4 - -3) + -8 + 23 - 11\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = y - 7. Suppose y*w - 16438264 + 54938264 = 0. Round w to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2197 and 8?\nAnswer: -17576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (132\/22)\/((-13*(-42)\/819)\/((-2)\/99))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-10)\/(-210))\/((-2)\/6)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/6*3\/(-2). Suppose -1 = 3*y - 13. Suppose 0 = 3*j + i*v - 13, -y*j - 2*v = -23 + 5. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*q + 4*y, -y = 2*y + 9. What is the common denominator of -38\/7 and 1\/q + (-327)\/(-30)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**4 - 4*u + 4*u + (3*u**2 + 0*u**2 - 2*u**2)*(608*u + 614*u - 90*u**2 - 1221*u)*(-3 - 4 + 4).\nAnswer: 272*u**4 - 3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2291*y - 183287. Give d(-80).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10 + -4)*2\/(-7). Solve -q*o = -7*o - 3*k - 27, -4*o = -3*k + 8 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 595 = 5*t, -434 - 131 = 5*c - t. Let h be c\/(-4)*(21 - 23). Is -59 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 526*k - 12 = 524*k, k - 12 = -4*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 480 - 481.93. Let j = s - -0.93. Put 0, -1.4, j in descending order.\nAnswer: 0, j, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/(-16))\/(66\/8 - 8).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/31536 and -29\/1800.\nAnswer: 788400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6013, 48573, 164095, 389059, 759945, 1313233?\n\"Answer: 6080*m**3 + m**2 - 3*m - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 315326613 to the power of 1\/5, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -178*0.0561\nAnswer: -9.9858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + -2)*(1 - -1). Which is smaller: 3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 229716 and 66646.\nAnswer: 1418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 174967 and 37873?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/2, 5, -4\/49, 12, 0.5, -3\/23?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 28 + 5*s - 10 - s**2 + 9*s + 0*s. Let q be r(15). Suppose 0 = -7*t + 2*t - 4*g + 277, 2*t - 120 = q*g. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a + a + 3*h + 15, a - 2*h = 6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -11 - 298*s + 295*s - 10. Let x be z(-8). Solve 1 = 2*g - 3*m + 5, 5*m = -x*g - 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 289068, 289073, 289082, 289095, 289112, 289133?\n\"Answer: 2*f**2 - f + 289067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 146083675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-88) + (-357)\/33)\/1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26325 (base 9) to base 11.\nAnswer: 12388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43\/27 or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 13 + 3. Suppose 2*f - 32 = -q*f. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 311 + -306. Solve -s*p - 27 = -37 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/30)\/((4\/(-2))\/(-8)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-nine fifths of a micrometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -327 or -326?\nAnswer: -326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 11096\/88 + (-9)\/99. What is the greatest common factor of 952 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 10:21 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - z - 3 = 2*z, 0 = 4*v + 5*z + 5. Suppose -3*l + 87 = m, -58 = -2*l - v*m - 4*m. What is the remainder when l is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -4. Let l(c) = f*c - 6*c + 2*c. What is l(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {w: 1, d: 1, k: 9}.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106619?\nAnswer: 106619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*b + 30 = 0, 4*r - 29 = -5*b + 49. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 7:11 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0*q = 6. What is the remainder when 21 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m*m\/(m*m**(-1)*m))*m)**(-2\/13)*(m\/m**(1\/2))**(5\/4))\/((m*m**(-2\/9)*m\/(m\/(m*m**8\/m*m)))\/(m**(-5)\/(m*m**(-8)))) assuming m is positive.\nAnswer: m**(-6983\/936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/174281514 and -161\/78276.\nAnswer: 348563028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 16, 34, 52, 70, 88, 106?\n\"Answer: 18*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-32)\/(-40))\/(0 + 2\/85). Let i = 34 - g. Suppose 0 = -4*o - 5*l + 7 - 0, i = 3*l + 3. Solve y + o*s + 3 = 0, -y - 20 = -5*y + 4*s for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 7*l**2 + 7*l. Let x = -7 + 2. Calculate the remainder when 43 is divided by c(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 137\nAnswer: 54.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 309585 divided by -69\nAnswer: -103195\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2387154?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-2) - (-18 + 3). Let o = -8 + m. Suppose 2*i = 3*i - 2. Calculate the lowest common multiple of i and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**2 + 86590*v - 374891405 = 0. What is v?\nAnswer: 8659","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g + 13. Let f be o(5). Suppose -2*z = -1 + f, -3*m + z + 337 = 0. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1521124 (base 7) to base 5.\nAnswer: -23110041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 58077.\nAnswer: 290385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/27 - (-20)\/90. Suppose o = -14*w + 793 - 121. Let h be (-114)\/(-7) - 8\/28. What is the highest common divisor of h and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*s + 5*v, -2*v - 5 = -7*v. Let w(l) = 4*l - 4. Calculate w(s).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 635*i. Let r(n) be the third derivative of -n**4\/24 + 2144*n**2. Give r(f(w)).\nAnswer: -635*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20171 (base 8) to base 4.\nAnswer: 2001321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*h**5 + 108738*h**4 + 435620*h**3 - 2297092*h**2 - 48402*h + 253890 = 0. Calculate h.\nAnswer: -7, -1\/3, 1\/3, 3, 6045","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 5*t + 40 = 0, 4*t = 4*z + 1 - 5. Let b(w) = -9*w - 1. Let j be b(-1). Let d = j - z. Solve 4*p - 3*p = d*n - 6, -n - 5*p = -2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 224 and 8414.\nAnswer: 134624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + -1*sqrt(2)*1 - sqrt(4)\/sqrt(32).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-888)\/58275*(-112)\/(-64)\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p**2 - 2*p**2 - 5*p**2 - 5*p**2 + 9*p**2 + 4*p**2 + (0 + 0 - 6*p)*(-3*p + 0*p + 0*p) - p**2 + 0*p**2 + 2*p**2 to g + o*p**2 + d*p and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 2*n**2 - n)*(39 - 2*n**3 - 39).\nAnswer: 4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(-189 + -1 - 0). Suppose 3*g + 2*g + 3*q - x = 0, 5*g = 4*q + 155. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -386, 10, -1, 0, -17 in descending order.\nAnswer: 10, 3, 0, -1, -3, -17, -386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.5 + -0.5. Let z = 204.2 + -204. Let q = -73.1 - -73. Which is the nearest to -1? (a) z (b) x (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4228da + 4a?\nAnswer: -422890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 f when four letters picked without replacement from fyyfffy.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7\/6 of a minute?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/(-14) - ((-84)\/15 - -5)\/(42\/(-50))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, n: 1, o: 6, q: 2, u: 1}. What is prob of picking 1 o and 2 q?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 133451 by 5.\nAnswer: 133451\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 106.4 - 22967\nAnswer: -22860.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55050327?\nAnswer: 3, 31, 89, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -19, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -601, -621, -655, -703, -765, -841, -931?\nAnswer: -1035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008666168 rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 4685913?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/6 + ((-1512)\/81)\/(-28). Which is the closest to 2? (a) 40 (b) o (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*y + 37 = 0, 3*j + 2*y - 19 = 2*j. Let k = -3 + j. Calculate the remainder when 33 is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 190, 0, -13, -26 in ascending order.\nAnswer: -26, -13, 0, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 3, 0.4, -1522?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -10) + 236 + -239.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 126307?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1*-4)\/(-2)*7. Let x be (-52 - -10)*(-2)\/3. What is the greatest common factor of x and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 67\/(-10) + 339\/(-1130). Put -24, 5, -4, 4, w in descending order.\nAnswer: 5, 4, -4, w, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s - 10*s + s)*(16 - 2 + 0).\nAnswer: -168*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 18, 12, 20, 48, 102?\n\"Answer: b**3 + b**2 - 16*b + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1004472636 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**12)\/(x\/(x\/(x\/((x\/((x**(8\/9)\/x*x)\/x))\/x*x)*x))))\/(((x**(-2\/59)*x)\/x)\/(x**(3\/16)\/x)) assuming x is positive.\nAnswer: x**(96281\/8496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 2*w - w + (-1 + 1 + 1)*(2*w - 4*w + 4*w) - 2*w + 0*w - 3*w - w - 3*w + 3*w)*(4254 - 4254 + 379*w**2).\nAnswer: -1895*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -16 + 76. Calculate the remainder when x is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -162 (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 141, 584, 1333, 2388?\n\"Answer: 153*g**2 - 16*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by (-9 - -8)\/((-3)\/12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + (-3 - -6) - -64. Let j = 112 - x. Is 18 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1370 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: Factor -z**2\/6 + 627*z - 15016\/3.\nAnswer: -(z - 3754)*(z - 8)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1214 + 3?\nAnswer: -1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3236*r**5 - r**3 + 467*r**2 - 2*r wrt r.\nAnswer: -194160*r**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 39*p**2 + 20*p - 34. Is f(21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + (-1 + sqrt(75))**2 - sqrt(75))*5.\nAnswer: -385 + 75*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -5*w - 1. Let s be i(-1). Let f(x) = 2*x - 1. Let d(v) = -2*v - 5*v + 2 + 3*v. Determine s*d(a) + 7*f(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4095, -8182, -12267, -16350, -20431, -24510, -28587?\n\"Answer: m**2 - 4090*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -248008995.1 to the nearest ten thousand.\nAnswer: -248010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t + 13. Determine p(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) -13 (b) -1 (c) 958\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71848699 is divided by 539.\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4477*p - 201551 - 78700 = 3087*p + 150897 for p.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a**3 - 7*a**2 + 18*a - 2. Let t(g) = -2*g**3 + 4*g**2 - 8*g + 1. Determine 3*p(o) + 7*t(o).\nAnswer: -2*o**3 + 7*o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14.3? (a) 1\/250 (b) 0.2 (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2214\/(-41))\/1)\/2.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 20?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -14534800 divided by -2506\nAnswer: 5800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*w - 5*w + 60 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 28*d - 81. Let z(a) = -2*a**2 - 9*a - 189. What is z(x(w))?\nAnswer: -1568*w**2 + 8820*w - 12582","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/54)\/(4\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59\/3 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.7 in -3\/10, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 146009 = -x, 9*a = 3*x + 10*a - 438003. Round x to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 28. Which is the nearest to 0? (a) 1 (b) m (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77 and 1792.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-88)*(13\/(429\/(-88)))\/(-2)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*a - 18*a + 7577*a**2 - 13*a - 380*a**2 to the form d*a**2 + f + m*a and give d.\nAnswer: 7197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 712012531?\nAnswer: 59, 12068009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-1369120)\/(-457520) - (4 + -1))*-7*4\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -152730, -155003, -157276, -159549, -161822?\nAnswer: -164095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327109822.\nAnswer: 2, 13, 37, 340031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 212511 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2691, 5209, 7567, 9765, 11803, 13681?\n\"Answer: -80*r**2 + 2758*r + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3163876*z**2 + 22273*z - 26.\nAnswer: 6327752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l + 6. Let a be (-6)\/(1*(-3)\/(-2)). Let k(r) = -6*r + 7. Let p(w) = a*k(w) + 5*b(w). Let n(d) = -2*d**2. Determine n(p(t)).\nAnswer: -32*t**2 - 32*t - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4096 + 3*h**3 - 4096.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h\/h**(-2))\/h)\/(h**(-4)*h))\/((h\/(h\/h**(-7)))\/h**8)*(h*h**(-4\/9)*h*h**(-4))**(-34) assuming h is positive.\nAnswer: h**(946\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4*r - 173. Let s(v) = 3*v**2. Give s(a(x)).\nAnswer: 48*x**2 - 4152*x + 89787","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -4*y, -33*q + 32*q - 3*y = -71530982. What is q rounded to the nearest one million?\nAnswer: 72000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1913 + 518. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2421111.\nAnswer: 3, 7, 11, 47, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 71*h**2 - 15*h + 48. Give f(0).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(5600) - (sqrt(5600) + sqrt(5600)*3))\/(sqrt(8) + (sqrt(8) - (-3*sqrt(392) + sqrt(8))))*-2.\nAnswer: -5 + 30*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4\/3))**(14\/11)\/(i\/i**(-10))**(-1\/4) assuming i is positive.\nAnswer: i**(139\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31269\/16 - -1952. What is the common denominator of h and (-7)\/21 + 142\/84?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 3*w - 5. Calculate y(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from unnnnnnnnnnnnnnnnunn. Give prob of picking 2 u.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103*4.\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 794 + -439. Is 5 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/11 (b) -0.2 (c) -0.3 (d) 606\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6020 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(1 + -1 - 1). Let l = 1 + r. Let y(f) be the second derivative of f**5\/5 - f**4\/6 + f**2\/2 - 39386*f. Calculate y(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.159735 to 2 decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/7)\/c)\/c)**(-2)*c\/((c\/(c*c**(-1)))\/c)*c**(-3\/4)\/c assuming c is positive.\nAnswer: c**(75\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 110018434 to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3969*g - 1232 = -3983*g. Suppose 2 - 8 = -s. What is the tens digit of g + 3\/2 + (-3)\/s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2888?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 587 + -2949\/5. Which is smaller: g or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 627 - 1255. Let f = -310 - k. What are the prime factors of f?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -19\/42*v**7 + 0 + 7\/2*v**3 + 23*v + 0*v**5 + 0*v**6 + 0*v**2 + 0*v**4. Find the second derivative of u(i) wrt i.\nAnswer: -380*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66.29*32.\nAnswer: 2121.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-377)\/(-65) - 6)\/((-3)\/(-45)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -619 in decreasing order.\nAnswer: -2, -4, -619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 744 by 8.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -3489*f**2 + 1 + 12598*f**2 + 5 - 6 as x + b*f + d*f**2 and give d.\nAnswer: 9109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 8 + -6 + 5 + -3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + (-4*(sqrt(13) - (sqrt(13) + sqrt(26)\/sqrt(2))) + (sqrt(13) - (sqrt(13) - (-1 + -1 + sqrt(13)))))**2).\nAnswer: -20*sqrt(13) + 330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -3585.7492?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 89056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (340\/(-340))\/(50 + 4 + -2).\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 o when four letters picked without replacement from {o: 2, x: 1, s: 4}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(3200\/(-1650)))\/(-2*(-2)\/(-16))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t + 8 + 0 - t**2 - 3. Let o be g(0). Let m(x) be the third derivative of x**6\/120 - x**5\/15 - 5*x**4\/24 - x**3\/3 + 7*x**2. Calculate m(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -2\/3 (c) -0.3 (d) 59 (e) -1299\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 9, -31 + 7 = -5*i - 3*d. Let c(u) = 4*u - 4618 + 4621 + i*u. Let v(j) = -j. Calculate v(c(l)).\nAnswer: -7*l - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**3*f**2*m*r - 121*d**3*f**2 + 2*d**3*m*r + d**2*f**2*m*r + 8*d**2*f**2*m - 2*d**2*f**2*r + 5*d*f*m*r wrt d.\nAnswer: 6*f**2*m*r - 726*f**2 + 12*m*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4*q**2 - 11. What are the prime factors of k(5)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10089, -4, 5, 161, 2 in decreasing order.\nAnswer: 10089, 161, 5, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -211*f**2 - 12*f + 4. Let a(h) = 212*h**2 + 9*h - 3. Determine 4*a(s) + 3*j(s).\nAnswer: 215*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 3 (c) 1\/92 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 42124217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 29974 (c) 2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 11 - ((1 - 3) + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 37*s**2 + 215*s - 138. Calculate m(30).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 63*p - 41333 - 122530. What are the prime factors of p?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -429e - -6?\nAnswer: -4298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 381*(4\/10)\/(48\/40). Which is smaller: 128 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1277843397*n**3*u**3 - 7*n**2*u + 98*n*u**2 + 18304*u**3 - u**2 wrt n?\nAnswer: 7667060382*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (42\/70 - 1824\/(-10)) + -3 is divided by 62?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 88697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -68 divided by 34\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n + 8 = 26. Let g = -243 - -360. Find the third derivative of -106*t**n - 6*t**4 - 5*t**4 + g*t**2 wrt t.\nAnswer: -264*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1032831 a multiple of 1107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11604 + 11721. Let o(w) = w**2 + 4*w - 1. What is the remainder when k is divided by o(-8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 48 = 3*q. Suppose q*r = 13*r. Suppose r = 3*z - 2*w - 55, 4*w + 72 = 4*z - 8. Solve 0 = -3*l - z, 9 + 5 = 2*t - 2*l for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -m**2\/2 - m - 1. Let g be s(-6). Suppose 5 = 5*l - 0. Let h(p) = 7*p - 6. Let t(w) = -w + 1. Determine g*t(j) + l*h(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8792420.747 rounded to the nearest 100?\nAnswer: 8792400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -223*x**2 + 3*x + 5. Let c(g) = 109*g**2 - g - 2. What is -2*a(r) - 5*c(r)?\nAnswer: -99*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*i**5 + 7*i**3 - 5*i**5 - 4*i**5 + (i**4 + 2*i**3 - 2*i**3)*(-4 + 4 + 2*i).\nAnswer: 3*i**5 + 7*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 2:52 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1541 and 138.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 12:49 PM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -115.\nAnswer: -460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -5 - (-18)\/6) + 0. Suppose 150 = d*n - 6. What are the prime factors of n?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/(-8)*7\/(231\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19.44053 + -18.531. Let d = p - 0.91. Round d to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3250 - -3253. Solve -5*z = -3*x - 4, -4*x = -z - 3 - o for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 10*u**2 + 3*u - 12. Determine a(-10).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 343 and 686?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of 3*o**8\/56 + o**7\/42 - 55*o**4\/12 + 15*o + 1. Find the third derivative of a(k) wrt k.\nAnswer: 360*k**3 + 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 - p - 1. Let t be 12 + -16 + -34 + 4. Let m(h) be the second derivative of -11*h**4\/12 + h**3 + 3*h**2 + h. What is t*o(c) - 6*m(c)?\nAnswer: -2*c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000 - -149195620.72?\nAnswer: 149194620.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h**2 - 34*h - 8. Let v = 2 + -5. Let o(c) = 9 - c**2 - 6 + 0 + 11*c. Let m(q) = v*p(q) - 10*o(q). Factor m(l).\nAnswer: -2*(l + 1)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 44 = -10*n. Let o(r) be the first derivative of -r**3\/3 + 6*r**2 - 16*r - 132. Give o(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 27?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 + 2997757480*o - 449327495444797520.\nAnswer: -5*(o - 299775748)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-54*i**2 + i - 2*i + 83*i**2)*(0 + 0 + 10*i**2) in the form w*i**4 + m*i**3 + f*i**2 + r + k*i and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2 + 5*f + 0*f + 2*f - 4*f. Let b be o(3). What is the highest common factor of b and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3519 - 1)\/((-12)\/(-30)). What is k rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15941063 and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 375657757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.87 times -17621\nAnswer: 15330.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17568660 and 134016?\nAnswer: 4188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 12:40 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 2*v + 8, x = -v + 2 - 1. Suppose -y + 2*c + 114 + 1 = 0, y - 117 = x*c. What is the remainder when y is divided by 58?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/22 and (-2 + -3)*7\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 104 - 168 = 0. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12077813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/5? (a) -4 (b) 7 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2. Suppose -4*u = 3*l - 26 + 6, -5*u - 3*l + 22 = 0. Let o(i) = -93 + i**u + 93 + 4*i - i. Calculate o(n(k)).\nAnswer: 4*k**4 + 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.02 + -6. Let x = w - -4.98. Sort x, 0.3, 0.5 in ascending order.\nAnswer: 0.3, 0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4840, -5, 5, 1, 4 in decreasing order.\nAnswer: 4840, 5, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -8317760?\nAnswer: -3327104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*y + 3. Let h = 8 + y. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2118899 - 41.\nAnswer: -2118940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -661, -699, -761, -847, -957, -1091?\nAnswer: -1249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -837.1 - -837. What is the second biggest value in a, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/5 - ((-32)\/160)\/((-4)\/(-176)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -5) + -13 - -16.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/19)\/z**1)\/(z*z**1*(z**(1\/6)\/z)\/z))**(-2) assuming z is positive.\nAnswer: z**(121\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 5. Let u be a(5). Suppose u*g - 15 = 3*g. Let x(f) = f + 10. Let y be x(g). Solve -21 = -4*t + 2*t - 5*p, t - y*p + 12 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/4*5\/60.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 4*g + 23, 5*g = -4*f + g + 12. Let t(m) = -2 - m + m - m - 4*m + m**2. Calculate the least common multiple of f and t(6).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4680 + -6800. Let v = x + 3981. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 83800000 to the nearest one million.\nAnswer: 84000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3778.881 litres to millilitres.\nAnswer: 3778881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -55*w + 50*w - 14, 0 = i + 7*w + 26 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0*-945.1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47490 by -15.\nAnswer: -3166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(-2)\/2 + 38. Suppose 30*t = q*t + 40. Let u = t + 19. What is the remainder when 54 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15346 + -15206. What is the remainder when 154 is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82114741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 23 + 15 = -z, 3*z - 4*f = 9. Let w be (-1 - -1)\/((0 + z)*1). Let o(a) = a**3 + a**2 + a - 39. Determine o(w).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**2 - 9*h**3 + 3*h - 6*h - 187 + 190 + h to the form j*h**2 + r + y*h + a*h**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of t**6\/120 + 3*t**5\/10 - 3*t**4\/4 - 31*t**3\/2 + 102*t**2 + t. Let b be y(-19). Round b to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 47 = -q + 37, 0 = -6*o - 20*q + 25*q - 1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -69 or -63?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, -18, -6.3, -1\/10, -0.01?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -j**5\/20 - j**4\/2 - 5*j**3\/6 + 2*j - 5. Let p(x) = 0. Calculate x.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 109, 100, 105, 130, 181, 264, 385, 550?\n\"Answer: w**3 + w**2 - 19*w + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4726 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/70 and 37\/2807?\nAnswer: 28070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 22*g + 15 = -19*g, 50 = 10*u + 2*g for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -103317 - -180128. Is (f\/(-35)*-2)\/(2\/25) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*b = -0*b - 7, -4*c - 4*b = -12. Suppose -2*p + 8 = c*p. Let j(t) = t**2 + t + 4. Let n be j(-3). Solve 2*q - p = -n for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*(-3 + 3\/9). Suppose -b + 0 = -3*h + 8, 2*h - c = -2*b. Let k(f) = f**3 - f**2 - 1. Let p(i) = 8*i**3 - 6*i**2 - 6. Give b*p(s) - 6*k(s).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 212331 to the power of 1\/2, to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -152*r + 3577. What are the prime factors of z(0)?\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**2\/11 - 48*g\/11 + 50\/11 = 0. Calculate g.\nAnswer: -25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 40\/3*a + 1\/3*a**4 - 4\/3*a**2 + 10\/3*a**3.\nAnswer: a*(a - 2)*(a + 2)*(a + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -n**3*x**5 + 167*n**3*x**4 - 12*n**3*x + 4*n*x**2 - x**2 wrt x?\nAnswer: -60*n**3*x**2 + 4008*n**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1.222*233\nAnswer: 284.726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13466 + -68033\/5. Let z = 141 + n. What is the closest to 2\/3 in z, -0.2, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201273 (base 9) to base 14.\nAnswer: 3155d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 3 - 2 - 44*h as w + q*h and give q.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -3 + 3\/2*m**2 + m. Let u(o) = o**3 + 4*o**2 + 3*o + 2. Let p be u(-3). Determine d(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**4 - 3*z**4 - 9*z**4 + (-6*z**3 + 2*z**3 + 3*z**3)*(0*z + 3*z - z) to i*z**4 + u*z**2 + n*z + y + a*z**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 3488*k - 3518*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, y: 3, p: 2, w: 1}. What is prob of sequence yyy?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49078343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*h - 199 = -26*h - 109 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-49))**(3\/17) assuming r is positive.\nAnswer: r**(-147\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74321?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4*v**3 + 5*v**2 - 7*v - 3. Let x(s) = 4*s**3 + 6*s**2 - 8*s - 4. Give -4*p(n) + 3*x(n).\nAnswer: -4*n**3 - 2*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 13*a - 18. Let c be q(-13). Let l be (-1)\/3 - 114\/c. Let v = 38 + -35. Calculate the greatest common divisor of v and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of 473*f**5\/20 - 73*f**2 - 107*f. What is the first derivative of i(q) wrt q?\nAnswer: 1419*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2114.0987 - 2114. Round m to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**4 + j**2 - j - 1. Let s(h) = 26*h**5 + 2*h**4 - 2*h**2 - 23*h + 2. Let q(z) = 2*p(z) + s(z). Find the second derivative of q(i) wrt i.\nAnswer: 520*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-30)\/105 + (-880)\/7. Suppose -2*t - 376 - 183 = -3*l, 0 = 3*l - 3*t - 561. Let u = c + l. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2498, 606, -4526, -14518, -30990, -55562?\nAnswer: -89854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-4\/19)\/(j*j**(-7\/6))*(j\/(j**(8\/3)*j))\/j**27 assuming j is positive.\nAnswer: j**(-1129\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1024 and 976.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -1. Let r = y - 1. Let d = -6 - -6.4. Put r, -1\/4, d in decreasing order.\nAnswer: d, -1\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -129.7, -0.161, 0.1.\nAnswer: -129.7, -0.161, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -70 + 134. Suppose j = z - 5*z. List the prime factors of z\/6*(-9)\/2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-250)\/15 + 17 + 0.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1022296.\nAnswer: 2, 11, 11617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*w**2 - w**2 - 5*w**2 + 12*w**2.\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 12. Suppose -3*q - 37 = c*o, -q = o - 2 + 11. Let i be 6\/9*78\/q. Which is smaller: i or -12?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2013 and 5745773.\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + q**2 - 2)*(2*q + 2 - 2 + (-15 - 1 + 3)*(-2*q + 4*q - 3*q) - 2*q + q + 0*q)*(-3 + 2 - 1) to s*q**2 + t + v*q + h*q**3 and give h.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -774*c**2 - 3902*c + 4. Determine q(-5).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 265342.796 rounded to the nearest 100?\nAnswer: 265300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61644 is divided by 178?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1823.437 + 0.5.\nAnswer: 1823.937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1284591 + 1800191. Round j to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1486904 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gus when three letters picked without replacement from {u: 1, z: 5, q: 4, g: 5, s: 1, k: 1}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4*v**2 - 2*v - 4*v**2 - 4*v**2)*(-180833 + 180833 + 136*v**2) as h + n*v**4 + w*v + y*v**2 + b*v**3 and give y.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of 0 + 1\/2*n**3 + 3*n**2 + 0*n + 1\/12*n**4. Differentiate m(q) wrt q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 33 = 3*o - 0*o, 0 = d + 2*o - 14. Suppose -5*q = -q - d. Suppose 3*v - 135 = -l - 2*l, l = q. Calculate the greatest common divisor of 7 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 5, -2, 2301, 4 in descending order.\nAnswer: 2301, 5, 4, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000522 to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -227*l**2 + 1566*l + 171. Give o(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -2\/277, -0.5 in increasing order.\nAnswer: -0.5, -1\/4, -2\/277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253 = 5*q - 3*c, q + 2*q + 152 = 2*c. Let h = -20 - q. Calculate the remainder when h is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4820568?\nAnswer: 2, 3, 353, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -161771, 4 in descending order.\nAnswer: 4, -1, -5, -161771","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 44, 1\/2 in descending order.\nAnswer: 44, 1\/2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.7275501 hours?\nAnswer: 2619180360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1621 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 11) + 39 + (-2 - -12).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000085961 to 7 decimal places.\nAnswer: -0.0000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + ((-12)\/(-3))\/(-1). Suppose z - 4*v + 5*v - 447996 = 0, 4*v + 16 = r. Suppose 9*h + z = 13*h. Round h to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 - -35 - (-2 + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5806730 to the power of 1\/4, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r - 73 + 73.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + 1. Calculate the greatest common divisor of 6 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 368596019?\nAnswer: 11, 33508729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 5*n - 1. Is k(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9827 - -138?\nAnswer: -9689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 490 and 468244?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1411375 - 574847 = -16936*k + 1998*k for k.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a kilometer in meters?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 94, 154, 214, 274?\nAnswer: 334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*18\/(-810)*(-10)\/16?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sfxzzfffzfxxxf. Give prob of sequence zsf.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 56922361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-one halves of a meter?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 335367*t**4 - 11*t**2*u**2 - 89*u**2 + 2*u + 35694 with respect to t.\nAnswer: 1341468*t**3 - 22*t*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f - 4. Let d be a(-4). Suppose d*y = 5*y - 10. Suppose -y*i + i = -5. Solve 0*t = -i*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v - 6*v**2 + 2*v**2 - 8 - v + 2*v + 0*v**2 - 11249*v**3. Let b be 4\/(-5)*(2 - 7). Let i be o(b). Round i to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 9. Solve 0 = a*j + 2 - 8 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l. Let m be x(3). Is 9 a factor of 24 + m*1\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 10*w + 26 = 0, -4*y - 25*w + 23*w = -46. Calculate the remainder when 1762 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -136955 divided by -5\nAnswer: 27391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 24 = 4*v + 3*h, -5*h = -5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1023 divided by 341\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/4*(-1 - -1). Suppose m = -2*s - 4*j - 3 + 57, 3*s - 2*j = 65. Calculate the highest common factor of s and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 7*v**2 - 5*v + 4. Calculate n(-4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + o - 112, 22 = -2*z - 5*o - 223. Let v = z + 260. What are the prime factors of v?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yradrqyarqaraa. Give prob of sequence qar.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5865273 is divided by 318.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 107917993843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26019?\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(3\/(-6)*6))\/(1241\/219)\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 u when two letters picked without replacement from {b: 1, d: 2, n: 2, p: 1, j: 4, u: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107 = x + 4*a, -a + 1783680 = 4*x + 1783672 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 153185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/51*(0 + 0 - 3).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1804*q*v + 151*q - 4965*v + 46082 with respect to v.\nAnswer: 1804*q - 4965","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24960 + 24960 - 17*t.\nAnswer: -17*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(2\/3))**(-35)*(u**(-1\/3))**(1\/6) assuming u is positive.\nAnswer: u**(-1051\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 + 8782780*k.\nAnswer: 5*k*(k + 1756556)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2283 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 116\/(-60) - (-12 - 2172\/(-180)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {x: 4, s: 3, z: 7}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.503742 millilitres?\nAnswer: 0.001503742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*r - 88 - 151 + 35 - 138.\nAnswer: -106*r - 342","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - (-3)\/(-3)) + (-847)\/(-196). Let h = z + 1\/4. Suppose 6 = 3*s - 3*y, 2*s = 6*s + 3*y + 13. Which is smaller: s or h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234049 is divided by 2752.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: What is prob of sequence fi when two letters picked without replacement from {w: 2, r: 1, f: 4, a: 2, i: 7}?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2. Let m(z) = -49*z + 17. Give i(m(t)).\nAnswer: 4802*t**2 - 3332*t + 578","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 556*p**2 - 556*p**2 + 2*p - 13*p**3 - 8 to the form m*p**2 + d*p**3 + o + s*p and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -k + 3, 4*k + 15 = 5*k + 94*u - 89*u for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-2\/39))**(-49) assuming q is positive.\nAnswer: q**(-2009\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 160 and 185760?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*a - 1079 = -5*u, 0 = 5*a + 15. Let f = 450 - u. Is 16 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.7 times 0.4974184\nAnswer: 1.84044808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - t - 9. Suppose 0*a - 1 = -t*j + a, 3*a + 3 = -3*j. Let s be 18\/(-4)*(-4)\/3. Solve -n = -s*n - 3*c + 20, -c = j for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 0.36.\nAnswer: -1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + l**2 + 184*l - 26. What is k(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 8*z**2 - z - 40. Calculate f(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -6*j + 2*j + 10, 0 = -t + j - 7. Suppose -h = 0, -2*w - 2*h - 4 = -0*w. Let c be (2\/(-4) - w)\/3. What is the closest to -0.1 in 4, t, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.81 - 0.19. Let f = -8 - v. What is the second smallest value in f, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3984 = 5*m, 3*f + 5966 = 4*m + 17973. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 3 (c) -919957\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 18 + 99999379.19\nAnswer: 99999397.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 234861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 747*l + 32512 + 25708 = -14986 for l.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 20 - 5 = 0. Suppose 2*t + 5*i - 44 = 9*i, -5*t + 162 = h*i. Let n = 6 + t. Does 12 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2138644.\nAnswer: 2, 534661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 j, and 1 u when three letters picked without replacement from qekju?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 x, and 1 k when three letters picked without replacement from dkxfffwxrxw.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61891 by -85.\nAnswer: 61891\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*k**2 - 2*k**4 + 13*k**3 + 2*k**2 - 14*k**3 to p + y*k**2 + r*k**3 + c*k**4 + s*k and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -3. Let g(j) = j**3 - 15*j**2 - 12. Let p be g(15). Let s be (1\/3)\/((-1)\/p). Which is the nearest to i? (a) s (b) -1 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 247*m - 473*m + 225*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.2, 2, 5, -3, -966.8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 25 = -4*k, 0*k - t = -2*k + 9. Suppose -3*j = -4*p - 31, j + 3 + 12 = -k*p. Let h be (-8)\/(-28) + p\/14. Put -2, 5, h in increasing order.\nAnswer: -2, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31617 greater than or equal to 31632?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(4455) - sqrt(4455)) + sqrt(880)*6)\/(5*(-3*(sqrt(11)*-2 + sqrt(11)) + (sqrt(55)\/(sqrt(25)\/sqrt(5)) - sqrt(11)))).\nAnswer: 2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, n: 1, f: 4, e: 8, z: 2}. Give prob of sequence ef.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77609063?\nAnswer: 7, 17, 761, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 516651*k + 2*k**3 - 516651*k.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*s - 4. Is s equal to 4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*k*o**2 - 189101*k*o - 868739*k with respect to o.\nAnswer: 6*k*o - 189101*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n - 10*n**2 + 14*n + 2*n**2 - 345346 + 345345 in the form j*n + z + p*n**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365527840?\nAnswer: 2, 5, 2284549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -173 - -1385\/8. Let m(t) be the first derivative of 4 - z*t**4 + 0*t**2 - 1\/6*t**3 + 0*t. Determine s, given that m(s) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 4842\/2736 + (-6)\/(-57)\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of i**11\/27720 - i**7\/2520 + i**4\/4 + 3*i. Let d(g) be the third derivative of m(g). Find the third derivative of d(l) wrt l.\nAnswer: 240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 2*y - 4. Suppose h = 3*c - 13, 2*h - 3*c - y*c = -21. Solve 26 = -4*d - 5*v, h*d - 10 = 6*d - 3*v for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (98\/(-210))\/((-14)\/36)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from feiegjeeetgii. Give prob of picking 2 e and 1 g.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -279 + 204. Let s = -75 - x. What is the closest to s in -1.2, 0.3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -893\/5 > -179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 5:30 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*d*i*w**2 + 2*d*i - 2*i*w - 73*w**2 + 1 wrt d?\nAnswer: -7*i*w**2 + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/21024)\/(75\/(-50)*(-1)\/(-6))?\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3568095?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16863 is divided by 8415.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -9*h**3 - 147*h**2 - 19*h + 1. Let k(q) = -5*q**3 - 73*q**2 - 10*q. Let c(y) = -5*k(y) + 3*n(y). Find the second derivative of c(t) wrt t.\nAnswer: -12*t - 152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 10 = 32. Suppose 3*u + z = 68. What is the remainder when u is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3774 - -3756. Let x(f) be the second derivative of f**3\/2 + 57*f**2\/2 - f. Let r be x(o). Solve -g + 4 = -r*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 4*r**3 + 245400*r**2 + 1962992*r + 2944416 = 0.\nAnswer: -61342, -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/3 + (-20)\/(-28). Let m = 3049\/8024 + -5\/1003. Let x = 4.1 + -0.1. Which is the nearest to z? (a) -2 (b) x (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g + 3*q - 52, 128*g + 25*q + 13*q = 125*g + 444 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i + 19. Let a(j) = -2*j + 18. What is -6*a(y) + 7*c(y)?\nAnswer: -2*y + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, f: 2, y: 2}. Give prob of picking 1 e and 1 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -341635089572 - -341634534038.000172. Let j = v - -555525. Let n = 9 + j. Round n to 5 dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -92 in decreasing order.\nAnswer: 5, 0, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10689, -40579, -89661, -157935, -245401, -352059?\n\"Answer: -9596*j**2 - 1102*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c + 6*c + 5*c.\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4060 + 1358 + 1348 + 1354 + 59*o. Let i(g) = 55*g. What is q(i(s))?\nAnswer: 3245*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + r**2 + 2 - 14*r - 8*r**2 + 14*r + (-5 + 6*r + 5)*(0*r + r + 3*r).\nAnswer: 17*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11.1 from -3.\nAnswer: 8.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + sqrt(153) + sqrt(153) + 1*(sqrt(153)*1 - sqrt(153)))\/(-2*sqrt(1296)) - ((sqrt(1377) - (sqrt(1377) + 2)*-2 - sqrt(1377))**2 + 2).\nAnswer: -5526 - 1153*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 9*w - 14. Let y be n(-4). Suppose 3 = y*l - 9. Put l, 7, 0 in decreasing order.\nAnswer: 7, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, h: 2, u: 2, t: 3, z: 1}. What is prob of sequence zth?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 8*o + 5. Let s be x(8). Suppose -h = u + 2*h - 1, -5*u = -s*h - 25. Put u, -1, -3 in decreasing order.\nAnswer: u, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - 2 - (2073 - 2002)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -49.\nAnswer: 4.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, 9, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 17. Suppose 3*c - v = 12, 0 = 2*c + 4*v - 5 - 3. Suppose -f + 10 = c*f. Solve -f*p - 6 = -0*p + 2*t, -p + 4*t = -h for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-254)\/(-14) + 5\/(-35). Differentiate -x + 0*b**3 - 96*b**4 - 5 + 0*b**3 wrt b.\nAnswer: -384*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 5 - (0 + -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -721*s + 1431*s - 717*s.\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 80\/440 + 72\/22*18\/(-16). Let v = 2\/39 - -8\/13. Which is the closest to 2? (a) q (b) 0.2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {o: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -286952, -287927, -288902, -289877, -290852?\n\"Answer: -975*y - 285977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12929439, 51717741, 116364913, 206870955, 323235867, 465459649, 633542301?\nAnswer: 827483823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/7 (b) 1 (c) -70 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7729*a**5 - 3*a**2 + 2646 wrt a?\nAnswer: 463740*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 8:42 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.3 or 4\/43?\nAnswer: 4\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/3)*k*k\/k**(-1\/18)*k*k)\/(((k*(k*k**(-14))\/k*k)\/k)\/(k\/(((k\/(k\/k**(5\/2))*k)\/k)\/k))) assuming k is positive.\nAnswer: k**(155\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41 + 38. Let u be (-28)\/(-21)*6 + (-6)\/(-1). What is the biggest value in u, l, -5, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 148*b + 1 - 150*b - 1. Let v(j) = -j + 1. Let x(z) = 135*z - 15. Let l(c) = -15*v(c) - x(c). Calculate l(f(r)).\nAnswer: 240*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -438 - 449 + 39*l + 734. Calculate the remainder when 13 is divided by k(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*u**2 + 0 + (2*u - 2 + 2)*(-2 + 2 + 3*u) - 10*u**2 - 2 + 2 + (0*u**2 + 6*u**2 - 4*u**2)*(0 - 4 + 1).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l**2 - l - 1. Let g(u) = 267*u**2 + 2*u + 118. Suppose 70 - 57 = 13*t. Let a(y) = t*g(y) + 2*n(y). Differentiate a(o) wrt o.\nAnswer: 550*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -11*r**3 - 13*r + 13. Let n(b) = 5*b**3 + 6*b - 6. Let t be 1\/1 + 0 + 1. Suppose -t*g = g - 27. Let w be 4\/6*g*-1. Determine w*x(l) - 13*n(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 + 7 + (2 - 4) + 31.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102, 219, 354, 513, 702, 927?\nAnswer: 1194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -307 - -325. Let f = 29 + -9. Calculate the smallest common multiple of p and f.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5070710.\nAnswer: 2, 5, 507071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 599 + -598. Let d be (-42)\/105*((t - 1) + -5). Solve -p + 6 = 2*v, -d*v + v - 4*p = -17 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 57602 and 124?\nAnswer: 3571324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -2\/2071?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i + 21. Calculate q(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5551, 11226, 16901?\nAnswer: 22576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1282826 to the nearest ten thousand.\nAnswer: -1280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2)*3\/18\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-320)\/(-300)*(-3)\/2\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*b + 35*b - 1281430 - 9305273 = 0. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*t - 14 - 2 - t**4 + 23 to s*t + d*t**4 + p*t**2 + x*t**3 + l and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5 + 3 = -4*p, 7 = p - 2*q. What are the prime factors of ((-1)\/(-2))\/(p\/(-26))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591813353 to the power of 1\/3, to the nearest integer?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 16*n**2 + 3*n + 17. Let p(c) = -c**3 + 15*c**2 + 3*c + 17. Let b(g) = 4*p(g) - 3*r(g). What are the prime factors of b(12)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i + 2 - 2 + 3*i + 0 + 0 + (-117*i + 264*i - 128*i)*(-5 + 2 + 2).\nAnswer: -17*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -192957131 and 2?\nAnswer: -385914262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 200?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**13\/q*q))**(-5\/19)*(q**(-9)*q)**(5\/4) assuming q is positive.\nAnswer: q**(-130\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 89677706501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1344 + -1346. Which is greater: c or 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -79*u**3 - 34*u**2 - 2*u + 2. Let k(c) = -159*c**3 - 68*c**2 - 5*c + 5. Let b(q) = -2*k(q) + 5*r(q). What is the third derivative of b(i) wrt i?\nAnswer: -462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 5:40 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7186, 14303, 21420, 28537?\n\"Answer: 7117*g + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 + 12\/(-10 + 12) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 110 + -93.6. Let s = u - 16.3. What is the third smallest value in -3, s, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 5:26 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 y when three letters picked without replacement from {z: 1, k: 2, y: 7, g: 2}?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1779*h**3 + 2081*h**3 - 3528*h**3 + 0*h**3 - 2*h**3 - h**3 + 3*h**2 + h**3 - 3*h**2 + (4 + 3 - 5)*(-h**3 + 2*h**3 - 2*h**3).\nAnswer: 328*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 7*c + 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36 - (42 + -8))*(-46)\/22 - -2.\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2 - 1 = 0. Let w be (o\/2)\/(6\/(-8)). Which is greater: 3 or w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (4 + (-1 - -3) - (11 - 15))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 124944?\nAnswer: 874608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 3*o**2 - 3*o. Determine b(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42009168 a multiple of 586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 n when four letters picked without replacement from {n: 4, z: 6, j: 2, m: 1, d: 3}.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**3 + 7*n**3 - 2*n**2 - 6*n**2.\nAnswer: 7*n**3 - 8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16438882?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.022 times 5\nAnswer: -0.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 458*h**3 - 4*h**2 - 7*h + 14. Is x(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*7\/28)\/1.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y**2 + 7*y**2 + 19*y**2.\nAnswer: 21*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 12:22 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**3 + 4*x**2 - 9*x - 2. Let r(o) = -o**3 + 2*o**2 - 4*o - 1. Let s be ((-2 - -6) + -1)\/((-3)\/9). Give s*r(u) + 4*m(u).\nAnswer: u**3 - 2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -122*s + 365. Is f(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4668348 is divided by 1612?\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 233.5167 minutes?\nAnswer: 14011002000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -f**3\/6 + 35*f**2\/2 + 116*f - 5. What is j(-17)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -38. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -585*g + 572*g - 29250. Round g to the nearest 100.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*z = -2*z + 46, -p + 5*z - 12 = 0. Is 1318 - 3\/2*p\/33 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6)\/(-1)*(69\/6 - -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - -16) + 9 + (-2 - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z = 6*z + 1386. Let w = z + -150. Solve -w*o = -6*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2200)\/(-4400) + (-1)\/((-30)\/(-27)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-3)*36\/24. Solve c - w = -7 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 345 divide 80873520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -5*w**2. Suppose 0 = 3*b + 2 - 17. Let m(u) = u**2 - u + b*u - 4*u. Give p(m(l)).\nAnswer: -5*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64842 and 6075246?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -20. Let k = -19 + 21. What is the greatest common factor of k and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1810.5279091 plus 318?\nAnswer: -1492.5279091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (42 + 5)*(-4)\/2. Let h = 95 + q. Suppose 2*x - 3*r = 2*r + 37, 0 = -r - h. Is x a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 4, v: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*g + s, -2*g + 7*g - 2*s - 35 = 0. Solve -4*a - n + 6 = n, g*n - 8 = -3*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**3 - 145*v**2 - 1120*v - 980.\nAnswer: -5*(v + 1)*(v + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -103441?\nAnswer: 103433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 6 = o + 3, -4*c + 3*o = 9. Suppose 5*m - 4*m - 2 = c. Suppose z = -t + 2, m*z - 4*t - 24 = -2*t. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (418\/969)\/(((-30)\/(-9) - 2) + -1). Let a = 1 - 7. Let v = 8 + a. Is v at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -10*b**3 + 1795*b**2 + 911*b - 1925. Determine a(180).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 56 + 32?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yzzzzyz. What is prob of sequence zz?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-2) + 6 + 649\/(-209)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w**2 + 38*w + 196. Determine m(17).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -2*c**5\/55 + 160*c**4\/11 - 25600*c**3\/11 + 2048000*c**2\/11 - 81920000*c\/11 + 449. Find w, given that p(w) = 0.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31.81 and 0.5.\nAnswer: -15.905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13259 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 984 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 0 + 1 - 46*x.\nAnswer: -46*x - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-27) + 46448\/36. Let w = f - 787. What is the remainder when w is divided by 72?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43889387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f**2 + 12*f + 46. Let m be p(-4). Let i = 842 - m. List the prime factors of i.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-1)*(-4 - -2)\/10. Suppose c - 5 = -0. Suppose -5*u + 15 = 4*k, i = 3*u - c*k - 7 - 2. Solve -d + 2*n + 1 + 0 = 0, 0 = u*d - 4*n - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -t**6\/3 - t**2 - 9*t. Find the first derivative of k(j) wrt j.\nAnswer: -40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2. Let g(a) be the third derivative of -a**6\/360 - 46*a**3\/3 - 12*a**2 - 6*a. Let b(m) be the first derivative of g(m). What is b(p(l))?\nAnswer: -l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 294419 to the nearest 10000.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 10 + 0 = -n, -3*z - 5*n = 46. Let v = 39 - z. Let x = 58 - v. Calculate the least common multiple of 7 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - q - 6 = 0, 3*w - 28 = -4*q - 6. Let v(r) = 2*r + 36. Let y be v(14). Suppose 45 = 65*m - y*m. Sort m, 3, w.\nAnswer: w, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 44\/135 - 6\/(-81). What is the closest to s in -2\/13, -4, 0, -14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, -4, -2, 0.3, -0.046, -5\/2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 767847 (base 10) in base 3?\nAnswer: 1110000021210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 288 - 68359053?\nAnswer: -68358765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -7*q + 19. Suppose -11*r + 7*r - 20 = -4*o, -7 = o + q*r. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3496294 and 12?\nAnswer: 20977764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*q + 4702 - 4702.\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -155, -401, -741, -1175, -1703, -2325?\n\"Answer: -47*m**2 - 105*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = x - 17, -2*x + 3*x - 20 = -5*c. Suppose -78 = -5*r + v, 4*r + v + c*v = 72. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*g - 24 = -6*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 - 75 = 8*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -3076*v**3\/3 + v**2\/2 + 266*v + 8679. Find the second derivative of w(x) wrt x.\nAnswer: -6152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -5, 2 in increasing order.\nAnswer: -5, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2 - 5*r - 5. Let o(j) = j**2 + 3*j + 3. Let m(x) = 5*o(x) + 3*p(x). Let z(c) = 43*c**2 - 2. Determine z(m(q)).\nAnswer: 43*q**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77053770 and 585.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7829179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 3*f + 24. Let j(c) = -c**3 + c**2 + 10*c - 1. Let z be j(4). Let b be ((-162)\/(-12))\/z*20\/3. What is the tens digit of n(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -6*n. Let a(z) = -117*z - 182. Let l(o) = -22*o - 36. Let q(v) = -2*a(v) + 11*l(v). Calculate q(x(s)).\nAnswer: 48*s - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 194*h**2 + 203*h**2 + 6*h - 388*h**2 to w*h + b + v*h**2 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13397, 26793, 40187, 53579, 66969, 80357, 93743?\nAnswer: 107127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1560178*j**4 + 2507545*j.\nAnswer: 18722136*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + -8. Let u(h) = h**2 + 3*h - 15. Let g(a) = -a - 1. Let c(b) = -4*g(b) + u(b). Is c(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121 - -22222012?\nAnswer: 22221121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 189\/17149 or 0?\nAnswer: 189\/17149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -457, -1155, -2105, -3307?\nAnswer: -4761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-17)\/((-2)\/(2 + 0)). Suppose -3*m - o = -44. Suppose -m + 1 = 2*k. Sort -2, k, -3 in decreasing order.\nAnswer: -2, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 4009959?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rj when two letters picked without replacement from jrjrjrjrrrrjlrl?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -73 - -78. Calculate the remainder when 1 - -10*(2 + -1) is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1934 + 8999. Is v a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-1 + 9 - (24 - 17)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/12)\/((-2)\/(-12)). Suppose -3*x = 14 + 1. Let s(z) = -622*z + 6221. Let y be s(10). Put j, x, y in decreasing order.\nAnswer: y, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + 3*o + 0*o)*(-1 + 1 + 1) - 3483 + 3*o + 3483.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27024?\nAnswer: 2, 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 12*c - 3. Let f(i) = i - 1. Let w(h) = 4*f(h) + s(h). Let g be w(-6). Solve 2*r - 3*r = g for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00052 rounded to five decimal places?\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(1\/2))**36\/((g*g\/(g\/(g\/g**(-5\/4))))\/g*((g\/(g\/g**1))\/g)\/g) assuming g is positive.\nAnswer: g**(67\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-1 - 3 - 0)) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21846212?\nAnswer: 2, 2333, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = h - 5*w - 1, -5*w + 25 = h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of b**5\/5 - 61*b**2 + 1617*b - 8531. Differentiate f(x) with respect to x.\nAnswer: 4*x**3 - 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of p**5\/20 - 5*p**4\/12 - p**3\/6 - p**2 - 14*p. Give f(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -844*l**2*q**4 + 3*l**2*q**3 + 3*l**2*q - l*q**2 + 11*l*q - q wrt q?\nAnswer: -20256*l**2*q + 18*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 5:03 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*g**2 + 10 + 2*g**3 - g**3 + 17 - 19*g**2.\nAnswer: g**3 + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2*2*(sqrt(1700) + -5*1*sqrt(1700) - (-5 + -2*sqrt(2448)))*-1)**2.\nAnswer: -2432*sqrt(17) + 69993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 17.13. Let g = -2.13 - l. Which is the smallest value? (a) g (b) -4 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2 = -3, 0 = o - s - 76. Calculate the remainder when o is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104, 105, 106?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*o - 407*o = 860*o + 10710 - 3444 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 8) to base 3\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g - 5 + 5)*(-5 + 1 + 14).\nAnswer: -60*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvwj when four letters picked without replacement from {j: 4, v: 3, w: 7}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.625 - 1.375. Let l be 1\/((-4)\/(-6)*-3). What is the closest to 0 in -5, l, x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -4 + (6 - 6) - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 11, -5, 3, -10, -1 in decreasing order.\nAnswer: 16, 11, 3, -1, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*f - f + 2*f**4 - 4*f**3 - 3*f**2 + 2*f**3 - 3*f**4 to o*f**4 + l*f**2 + v*f + p + g*f**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 + 1 - 1)*(-10*m - 5*m + 6*m + (3 - 1 + 0)*(-2*m - m + m)).\nAnswer: -26*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -1015*j + 156. Let x be q(-4). Suppose x - 935 = 4*o - y, 2459 = 3*o + y. What are the prime factors of o?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5969 - -6676. What is the lowest common multiple of 1414 and w?\nAnswer: 1414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6565.2 take away -5.79?\nAnswer: 6570.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 - 6*q + 5. Let b be i(3). Suppose -3*o - o + 302 = b*x, 0 = 2*o - 2*x - 142. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/700377 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 802.5 - -159.5. Let r = -962.000961 + s. What is r rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3708\/(-48)*4\/(-3). What is the first derivative of 67 + 12*y - 291*y + h*y + 100*y wrt y?\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3374899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*x**2 - 41*x**2 - 25*x**2)*(5 - 3 + 0)*(3*x**2 + x**2 - 3*x**2 - x**2 - x**2 + 3*x**2 + (-x + x + x)*(x - x + x) - 2*x + 2*x - x**2).\nAnswer: -140*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x - 23*x - 36 = 0. Let l be 27\/x*4*-1*1. Solve 0 = -3*a + l, -w + 2*a - 7*a + 17 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15076 - 15079. Sort 13, -2, -0.5, 1\/9, x in descending order.\nAnswer: 13, 1\/9, -0.5, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 3 = -0*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 4:49 PM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 5\/42*c**7 + 8*c - c**5 + 0*c**2 + 1\/6*c**6 + 0*c**3 - 5\/3*c**4 + 25. Let f(q) be the first derivative of g(q). Factor f(s).\nAnswer: 5*s**2*(s - 2)*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 382753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -94*t - 560. Suppose -11*h - 406 = -340. Calculate the least common multiple of k(h) and 15 - -1*(1 - 2).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -2 - r**3 - 3\/4*r**4 + 0*r + 0*r**2. What is the third derivative of a(l) wrt l?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 245980 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -5*j**3 + 11555*j**2 - 6939160*j + 301134640 = 0.\nAnswer: 47, 1132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (1 + (0 - (-7 + (4 - 1))))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43\/(-86)*124)\/2.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**5 - 8203572*y**4 - 4*y**3 + 8203572*y**2 = 0. Calculate y.\nAnswer: -1, 0, 1, 2050893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -204*f - 292. Let v be h(12). Is v less than -2740?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10*(-4)\/(-32)*-4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r - 0*r - 5*q + 22, -4*q = 2*r - 14 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z = z - 216. Let k = z - 15. Solve 0 = -5*o - 18 + k for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 428266*i**2 - 115948 wrt i.\nAnswer: 856532*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, t: 3, n: 2, q: 2}. Give prob of picking 1 q and 2 n.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -69*d + 72*d - 6. Is 16 a factor of 2\/((-14)\/(-7)) + 102\/d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -721*x - 21. Let y be b(-1). List the prime factors of 6 - 3 - ((-9)\/(-3) - y).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 10:58 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 5*i. Let l(z) = z + 9. Let c(f) = f**3 - 3*f**2 - f - 4. Let n be c(3). Let p be l(n). Let w(y) = 5*y**2 - 2 + 2 - 6*y**p. What is t(w(a))?\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/28441 and 107\/1190.\nAnswer: 284410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9679666663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/2336 and 1\/1792.\nAnswer: 130816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 24567602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0692, 1, -0.1, 0.1 in descending order.\nAnswer: 1, 0.1, 0.0692, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 1781*f**2. Let n(s) = 13*s - 322. Give n(o(t)).\nAnswer: 23153*t**2 - 322","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 100*h = 103*h + 48, -4*y - h = 26 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 2117628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*s = -0*r - 69, -23 = -r - 5*s. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 2*g - 4. Calculate u(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g**5 - 34*g**4 + 48*g**3 + 190*g**2 - 148*g - 48 = 0. Calculate g.\nAnswer: -4, -3, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 302310332121 (base 4) to base 11\nAnswer: 7580726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jcc when three letters picked without replacement from {j: 1, c: 7, n: 6}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*(-3 + sqrt(175)) + sqrt(175)*3 + 1)**2.\nAnswer: -4296 - 480*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 69, 92, 107, 114?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -419*q - 38*q - 194*q - 1470*q = 288456 for q.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1fa871d - -1?\nAnswer: 1fa871e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) -81 (c) -1\/11 (d) 5 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 + 74 + -214 - -28?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -404500, -404434, -404368, -404302, -404236?\n\"Answer: 66*j - 404566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + (-33)\/6)*(-12)\/(-18). Let m be (-24)\/10*10\/v. Is 3 greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4396, 7625, 10854, 14083, 17312, 20541?\nAnswer: 23770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18828316, -37656638, -56484960, -75313282, -94141604, -112969926?\nAnswer: -131798248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100000101111100 + 11?\nAnswer: 100100000101111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -1\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6040 (base 10) to base 6\nAnswer: 43544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4913?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 2*h**2 + 50*h + 23. Let q be t(-8). Solve 9 = y + 3*w, -3*w + 5 + q = 2*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 28 = -247420*a + 247415*a, 0 = a + s + 11 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z**2 + 1361330*z - 1361284*z - 21*z**2 - 2*z**3 + 14*z**2.\nAnswer: -2*z**3 + 46*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 9*i - 2. Let z be d(-10). Let k be 120\/28 + 4\/(-14). Let m(n) = 0 - z*n + k*n + 0. Let w(l) = -2*l. Determine m(w(t)).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2917489 or -2917480?\nAnswer: -2917480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*x + 4126528 = 0. Let g be 64\/(1\/32602*(3 + -1)). Let z = g + x. Round z to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1 + -3 + 48\/9)*(-21765)\/(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.8 + -0.2. Let d = -304 - -308. What is the third smallest value in -0.1, d, u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15283878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19265842*m**2 + 37731055*m?\nAnswer: -38531684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 54. Let c = d - 18. What is the remainder when c is divided by (5 - 4)\/(1\/17)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-885)\/(-60) + -16)\/(1\/4). Put 15, o, 1, -3 in increasing order.\nAnswer: o, -3, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399310 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 79?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 19*z**2 - 22*z - 25. Let n be u(-20). Suppose 0 = 5*j + 2*f - 9, 0 = 4*f - 3 + n. Solve -j*d + 0*h - 4*h = 9, 0 = -d + 2*h - 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*159\/(-2)*(2 - 0). Let c = g - -290. Let r = c + -34. What are the prime factors of r?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -190*j + 18. Let q(r) = -143*r + 13. Determine -8*p(z) + 11*q(z).\nAnswer: -53*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 5, -z + 0*z - 80 = -3*m. Suppose 62 + 230 = 2*p. Suppose 5*u = m, -4*u = 4*k - k - p. What are the prime factors of k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by 195.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y + 1. Let r(p) = 6*p + 3. Let j(w) = -r(w) + 3*z(w). Let f(n) = 5*n. Calculate j(f(m)).\nAnswer: -15*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/130*(274 - 269).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*((-1)\/(-1))\/2. Let b(s) = -58*s**3 - 2*s**2 + 4*s + 8. What is the hundreds digit of b(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*n + 182 = -23*n - 98 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - o = 9, 3*o - 1007 + 1014 = -2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -55 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 432 and 10704?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-2)*6 - -3. Let w be (1\/q)\/(4\/12). Let o = -3.5 - -1.5. Which is the biggest value? (a) w (b) -0.4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 + 50 + -2 + (1 - -20) + -8.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x - 2*x - 2 + 2*x. List the prime factors of n(-8).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2819*b + 2313*b + 697*b - 417*b.\nAnswer: 5412*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - d + 10 = 0. Let i(x) = x + 1 - 2*x**2 + 5*x**2 - 4*x**d. Let j be i(2). Which is the nearest to j? (a) 0.3 (b) 3 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence za when two letters picked without replacement from {d: 3, z: 1, v: 1, w: 4, a: 8}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 6*m - 14. Let g be (-3)\/(-1) + 40\/10. What is i(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 39*a - 210. Determine j(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -668*u = -646*u - 22 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76000?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9 and 459249.\nAnswer: 459240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - -12. Let t = -18.2 + 13.6. Let c = 4.7 + t. What is the second biggest value in -2\/5, c, q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1490609 or 1490610?\nAnswer: 1490609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.456719 rounded to 0 decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4 + -3)\/((-4)\/(-72) - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) -0.57 (b) 0.1 (c) 0 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -11.641, 483 in descending order.\nAnswer: 483, 0.1, -11.641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -944 = -5*o + 2*g, -5*g + 39 = 4*o - 736. Suppose 182 = 3*z + n, 2*z + 5*n - o = -z. Does 4 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.02, -6, 10770, -7, 3\/7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 14*v**2 - v - 8. Let n be y(-14). Solve 0 = -l - u + n*u + 15, -9 = l + 3*u for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0284334 and 0.058.\nAnswer: 0.0295666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 5:59 AM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.02 (b) 1.5 (c) -0.15 (d) -16 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -7. Let x(l) = -l**3 + 7*l**2 + 2. Let g be x(z). Suppose g*c + 0*c = 18. What is the remainder when 16 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 4:34 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -5 (b) -35\/6 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -68, -211, -484, -929, -1588?\nAnswer: -2503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -102770656?\nAnswer: 1\/102770656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232\/5*b + 2\/5*b**2 - 192 = 0. Calculate b.\nAnswer: -4, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5810961 rounded to the nearest ten thousand?\nAnswer: -5810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 4, 5, -741\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 533, 1025, 1517, 2009, 2501?\n\"Answer: 492*y + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 6.4. Let k = -2.7 + 3.7. Let x = k - -1. Which is the biggest value? (a) m (b) 1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35512 - -51542. What is the hundreds digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - z - 5)*(-43 + 79 + 101 + 36).\nAnswer: -173*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 n when two letters picked without replacement from nhn?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -796826, -795468, -794112, -792758, -791406?\n\"Answer: -c**2 + 1361*c - 798186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2966.128115 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2447?\nAnswer: 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*b + 327*l = 328*l - 121, 5*l - 17 = 2*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - -284\nAnswer: 283.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(4\/7)*h)\/h)\/(h**5*h))\/(h**(-2))**(-50)*h**0\/(h\/((h\/(h\/(h\/(h*h**9))))\/h))*(h\/(h\/(h\/h**(2\/5))*h))**46 assuming h is positive.\nAnswer: h**(-4719\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 321 or 322?\nAnswer: 322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one eighteenth of a week?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -3*g - 2*d - 10, -g = -2*d - 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231*c - 1433 = 1139 + 431 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4061 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (33\/55)\/(1\/(-145)). Let b = y + 547. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 32, 2.\nAnswer: -1, 0, 2, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**1*s)**(1\/43) assuming s is positive.\nAnswer: s**(4\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -c**2\/2 + 1. Let r(i) = 5 - 5 - 12*i + 14*i. Give b(r(l)).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2 - 81*k - 611. Give s(-34).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/3 - 18032\/(-1656))*12\/(-50)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96, 165, 236, 309, 384, 461, 540?\nAnswer: 621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4*x**3 - 2*x**2 - 3*x. Does 4 divide k(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -795*c**5 + 16*c**4 - 3*c**3 + 183427*c**2 wrt c?\nAnswer: -47700*c**2 + 384*c - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 72640314733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 317338.223924 and -84.\nAnswer: 317254.223924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 52597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**4\/7 + 12*q**3 + 375*q**2\/7 - 66*q.\nAnswer: 3*q*(q - 1)*(q + 7)*(q + 22)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*p + 3*p - 23 = 0, 31 = 3*v + p. Let j(l) = 2*l - 1. Let u be j(5). What is the least common multiple of (u\/3)\/(6\/16) and v?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4730292.\nAnswer: 2, 3, 7, 6257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129177917?\nAnswer: 11, 17, 313, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -c**4\/6 + c**3 + 5*c**2\/2 + 8*c. Suppose -4*t + 38 = -6. Let q(v) = -2*v + 4*v**2 + 6 - 15 - 9*v. Give t*n(w) + 6*q(w).\nAnswer: 2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -58752, -4, 5 in increasing order.\nAnswer: -58752, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 804748.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 2*n + 0*n = -2, -8*q + 3*n - 15 = -11*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 981*k**2 - 5*k + 8. What is the thousands digit of o(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 5*c**2 + 2*c + 5. Let s(u) = -3*u**3 - 11*u**2 - 3*u - 10. Let z(x) = -2*s(x) - 5*v(x). Determine z(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - 19. What is the nearest to 1\/4 in a, 5, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 l when three letters picked without replacement from zlsaa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + m - 3*m + 7*m)*(-75871 + 75871 - 4579*m).\nAnswer: -22895*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 918.9383 litres to millilitres.\nAnswer: 918938.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1726 and -1.7.\nAnswer: -1.8726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11783 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i**4\/7 - 11820*i**3\/7 - 1920650*i**2\/7 + 6501000*i\/7 - 5445000\/7 = 0. Calculate i.\nAnswer: -330, 5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, 599, 2553, 6485, 13055, 22923?\nAnswer: 36749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1329, -427, 1081, 3195, 5915, 9241?\n\"Answer: 303*n**2 - 7*n - 1625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 + -22)*4 + (-13 - 2).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -7*l + 8*l + 2*l + 14*l + 18*l. Let t(n) = -3*n. What is t(s(o))?\nAnswer: -105*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112220130111 - -20?\nAnswer: 112220130131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 6:53 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/((-16)\/51))\/(780\/(-520))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 11. Suppose 0*d = s*d + 204. Let q = 72 + d. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25872 + 25868. Put a, 2, -1802 in ascending order.\nAnswer: -1802, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 12 = -4*z + z, 0 = -4*m - 5*z + 44. Suppose -m*a + 18 = -0. Suppose 3*k + 21 = -3*l, 4 + 1 = -k. Sort l, -5, a in decreasing order.\nAnswer: a, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166*d = 183*d - 11730. Is 21 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -111431 and -50.9?\nAnswer: 111380.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12964.280800036 minus -0.1?\nAnswer: 12964.380800036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2120212 (base 3) to base 13.\nAnswer: -b21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(8\/3)\/u*u*u\/(u**(-8)\/u)*u*u\/(u\/u**(1\/4))*u*u*u**(-3\/7)*u*((u\/u**1)\/u**(1\/3))\/(u\/((u**(-1\/7)*u)\/u)*u**7) assuming u is positive.\nAnswer: u**(673\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*o + 26*o - 35*o - 110 = 0 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/9)*u**(1\/6) assuming u is positive.\nAnswer: u**(5\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -663 + 1196. Let o = g + -345. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, 1, -4391?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 4*h + 14, 2*n + 4*h = -h + 9. What is the remainder when 50 is divided by n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -396 = 2*t - 4*t. Let h = 335 - 313. What is the highest common divisor of t and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 14) in base 3?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 60, 49.59?\nAnswer: 49.59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.716397ug to grams.\nAnswer: 0.000006716397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.9 + -6.58. Let x = b + -2.3200361. What is x rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/414 and 95\/138.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-24))\/((-2)\/4*1)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9805*z**3 - 18*z - 42 + 45*z - 27*z.\nAnswer: 9805*z**3 - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -153, -599, -1335, -2355, -3653, -5223, -7059, -9155?\nAnswer: -11505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h**4 - 86*h**3 + 254*h**2 + 254*h - 78 = 0. Calculate h.\nAnswer: -13, -1, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a meter in millimeters?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 8:01 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**2 - g. Let c(w) = -5*w**2 - 42*w - 3. Give -c(m) + 3*s(m).\nAnswer: -m**2 + 39*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -94. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -145? (a) 0 (b) 366 (c) -5 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -k**4\/24 + k**3\/2 + 3*k**2. Let x be u(3). Factor -10\/7*d**3 + 2*d**2 - 4\/7*d + x.\nAnswer: -2*d*(d - 1)*(5*d - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xaam when four letters picked without replacement from amxmxpaxaax.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 4*z = -4, 5*b - z = 3*z + 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 4*m - 13870, -8354 = -3*i + 3*m - 7*m. Is i a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 243, 503, 765, 1029, 1295?\n\"Answer: x**2 + 257*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 less than 31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -64 + 315. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 11 + 9*g - 1262*g**2 - 12*g + 1265*g**2 - 6*g. Let j(s) = -s**2 + 5*s - 6. Determine 6*f(w) + 11*j(w).\nAnswer: 7*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -4. Suppose -s*u = 5*p - 492, -5*p - u - 207 = -701. Suppose -4*n + p = -n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -101 - -103. Solve 3*y = -s - 2*s, 4*y = i*s + 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 872*b + 6*b + 123*b + 93*b.\nAnswer: 1094*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xuxqyee. What is prob of sequence uq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11820 and 6860.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 742578934.\nAnswer: 2, 371289467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -131*r**3 + 2*r**2 - 3*r + 3. Let n(m) = 130*m**3 - 3*m**2 + 4*m - 4. Let y(x) = 4*c(x) + 3*n(x). Is y(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - g - 54. Let w = 112 - 128. What is the units digit of d(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 n, and 1 g when four letters picked without replacement from {s: 1, y: 3, w: 3, n: 6, g: 1}?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 4*w - 17 = 0, 3*w - 5 = -4*r + 14 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -145, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 7*g + 11. Let k be (g\/(-10) + 4944\/(-40))\/(-1). Suppose -2*b = 5*a - 135, -4*b + 170 = 2*a - k. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 5*m**2 - 3*m + 2. Let v be c(-3). Let j(h) = -h. Calculate the remainder when (18\/27)\/((-4)\/(-114)) is divided by j(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 703311?\nAnswer: 3, 7, 107, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -163 - -159. Let r be (-17)\/(-68)*(n\/(-10) - 2). Which is the nearest to 0.026? (a) 3 (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 32*l - 37. Let v be y(-5). Let s = -19 - v. Let w = s + -90. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.06, -1, 0.1, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -c**5\/20 + 3*c**4\/2 - 8*c**2 + 48*c + 5. Give g(18).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z - 20. Let v be x(8). Suppose 0 = 3*t + 16 - 28. What is the highest common factor of v and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kpk when three letters picked without replacement from {i: 1, s: 1, k: 11, n: 3, p: 2}?\nAnswer: 55\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 86.873 - -0.127. Let r = g + -86.1. Let y = -0.7 + r. Which is the nearest to 1\/3? (a) y (b) -1 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-260)\/(-13))\/(1*2)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6*n = -4. Suppose -19*u + 51 = -2*u. Let p be n + (-1)\/(u\/(-9)) - -3. Solve 0*l = p*l + 15 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 0, -4\/9.\nAnswer: -4\/9, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*c**4 - 864583*c**3 + 4051838 wrt c?\nAnswer: -8*c**3 - 2593749*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/2*r**2 + 1\/4*r**3 + 0*r + 0 = 0. What is r?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + -15*4\/8*(8 + -10). Solve -23*n = k + 9 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 360 + -208. Suppose 5*n = -32 + p. Suppose 2*b - j = b + n, 4*b + 4*j = 56. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-616)\/(-34) + 4\/(-34). Suppose 13 = -17*n + u*n. Solve n = -p - 4*h - 6, 2*p + 2 = h for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -80\/43, 4, 2, -2\/19 in decreasing order.\nAnswer: 4, 2, -2\/19, -80\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1029\/9)\/(6*5\/1890). Let v = h - 3526. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 5*f + 73 = 0, -62*o = -59*o + 5*f - 169. Calculate the greatest common factor of 496 and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o - 10. Let s be j(-12). Let r be (s*8)\/(6 - 5). Suppose -5*f + 124 = -b, 0 = -5*b - 4 - r. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30 - 114141?\nAnswer: -114221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, y: 2, j: 1, r: 1, w: 2}. Give prob of sequence wf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 10*k - 11. Let y(j) = j - 1. Calculate w(s) + y(s).\nAnswer: 11*s - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 17*l + 35. Give i(16).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9827*t**4 + 11*t**3 - 2*t**2 + 25*t + 12254.\nAnswer: 117924*t**2 + 66*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -13 (b) 5 (c) -42\/5 (d) 6.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -11*r - 25. Determine q(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-5) - 2) + ((-2673)\/(-77))\/(-9).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -833 + 1672. Let n be t\/9 - 32\/144. Suppose s - 79 = -5*r, 3*s = s + 3*r + n. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a day in seconds?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*n + 11*n + 620964 - 33828 = 0. What are the prime factors of n?\nAnswer: 2, 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 20, 55, 90?\n\"Answer: 35*o - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 3*c - 3*c)*(0 + 10 + 0)*(-5*c**2 + c**2 + 3*c**2 + 0*c + 0*c + c**2 + (-2*c + 2*c + c)*(-c - c + 3*c)).\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - a = a + 2, 5*c - 1 = 4*a. Let s be 2\/(9\/c + 2). Let z = 8 + s. Solve 0 + 8 = -5*q - 4*u, -2*u = -z for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 88 + -88. Which is the nearest to v? (a) -3 (b) 2 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 827 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 6, 3*y - 3*p = 5*y - 1. What is the remainder when y is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 117*l**3. Let j(o) = 3393*o**3. What is -4*j(z) + 117*q(z)?\nAnswer: 117*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 11716.\nAnswer: 140592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39300 and 400?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -119 + 130. What is the remainder when 17 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 10*j - 5*j - 16, -3*y - 3*j + 9 = 0. Let a be (y - -4)*20\/(-210). What is the biggest value in 2\/37, 0.1, a, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 264 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -34*j + 30*j. Let m = j - 34. Suppose -p - 5*p = m. Solve -i + p*i = -2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(153)*-1 - (sqrt(153) + sqrt(153)*-2*-1))\/((sqrt(144)*-2 + sqrt(144) - sqrt(144))*-4 + sqrt(144)).\nAnswer: -5*sqrt(17)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -8*i - 373. Let z be q(-49). Calculate the highest common factor of 209 and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**3\/4 - 4573*h**2\/4 + 4576*h - 4577 = 0.\nAnswer: -4577, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 3*d**2 - 3*d - 3. Let u(l) = -l - 11. Let p be u(-8). Let g be f(p). Solve v = g*v - 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67490 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -441587.11 to the nearest 10000.\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -2*j + 242, -j - 44 = -2*v + 75. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 126468 + -126469.999925. Let d = -2.03 - -0.03. Let i = d - g. Round i to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/38465 - -2499202\/39349695. Find the common denominator of 16\/11 and b.\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1439432643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyy. What is prob of sequence yy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**7\/210 + 2*a**5\/5 + 8*a**4\/3 + 6*a**3 + 10*a**2. Let r(c) be the first derivative of b(c). Factor r(h).\nAnswer: -4*(h - 4)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*l - 1340 = 126*l for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iu when two letters picked without replacement from {i: 1, u: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**3 + 2 - 3*f**3 + f**3 + 4*f**2 - 4. Is q(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -203.834 + 199.8. Let h = 65 + -61. Let j = z + h. What is j rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56478 is divided by 8008.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/((-12)\/(-48)*(-4)\/434). Suppose 3*y + 100 = a. Suppose 3*h - y = 71. List the prime factors of h.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 533246 by -76178.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64796*2.8.\nAnswer: -181428.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-49)\/392*16\/(-6). Factor 3\/2*n**3 - 5\/6*n**4 + 0 + 1\/6*n**5 + k*n - 7\/6*n**2.\nAnswer: n*(n - 2)*(n - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-273)\/(-6) + (-2)\/(-4). Suppose z = -y + 79, 2*z + 8*y - 13*y = 130. Let v = z + h. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.08 + 0.14. Let g = -3.94 - v. Let w be 4\/5*(-100)\/(-120). Which is the nearest to w? (a) 0.3 (b) g (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-77)\/(-4) - (-6)\/8. Let a be (-210)\/(-12)*220\/770. Solve w = -3*q + v, -4*w + a*w = 2*q - 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**3 - 5*a**2 + 4*a - 1. What are the prime factors of f(4)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 60\/25*10\/4. Let s be 0\/(-2 + -1 + 4). Suppose s*w = 2*w - t. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/1890 and -141\/350?\nAnswer: 9450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5382 - -5382.00003195. Round k to six decimal places.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 20, k = -3*w - 0*w - 11. Let r = 8 - k. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, w: 3}. Give prob of picking 2 w and 1 i.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.59301 kilograms in micrograms?\nAnswer: 59593010000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6863 or -8.6?\nAnswer: 6863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1245361 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1378078993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 57\/(-7) - 1\/(-7). Let z = k + 8. Solve 2 + z = a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - 166\nAnswer: -165.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1*-2)\/10 - (-22900)\/125 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1451927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.21691 - 0.20691. Put -0.03, 2\/11, -3\/4, 1, y in ascending order.\nAnswer: -3\/4, -0.03, y, 2\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3846 is divided by 960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23550\/5652 - (-22)\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddnqwvwdd. What is prob of picking 1 n, 1 v, and 2 w?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/865773 and -22\/1371097.\nAnswer: 1024209459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 5, -6, -5, 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*w + 20*w = 8*w + 40333838. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 21 = -3*o - 5, -7*b - 29 = -1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/(-45) - (3982182\/(-15) + 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 7*o**2 + 3*o + 7. Let r be p(-6). Let y = 31 + r. Let v = -7 + -7. Which is bigger: y or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32080 to the power of 1\/2, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u**27\/u)\/u)*u)\/u*u*u*u**17 assuming u is positive.\nAnswer: u**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-227)\/((-2)\/4*128\/110912) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3 - 464*j**2 + 334239*j + 1006866.\nAnswer: -(j - 393)*(j + 3)*(j + 854)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, m: 2, e: 5, k: 2, i: 1, p: 5}. What is prob of picking 2 e, 1 p, and 1 b?\nAnswer: 5\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 67870084 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 11\/148?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74*(-39)\/(-5772)*(-4)\/(-131).\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-25 - 65 - -86).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 40 (c) -13\/9 (d) -0.22 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5 = -17. Suppose -2*u - 82 = -2*j, u = q*u. Calculate the remainder when j is divided by 13 + 1 - 4\/(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88941 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: What is fourty-two fifths of a micrometer in nanometers?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4399?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = -20515 + 72266. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -2*n - 10, 2*b - 748 = 4*n - 746 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 2\/15, 41 in decreasing order.\nAnswer: 41, 2\/15, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 5*d + 23 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 10*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 1 - 3*o**2 + 12*o**2 - 4 - 8*o - o**2. Let q be n(7). Let t = q - -34. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*(y\/(y*y*(y\/(y**0*y))\/y*y))\/y)\/y)\/y**(-5))**(2\/45) assuming y is positive.\nAnswer: y**(2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1453 - 5240 = -f - 4*o, -2*f - 3*o + 7554 = 0. What is the remainder when f is divided by 538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (0 - -3) - (-4 - 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 129 + 321. Is n < 75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4070435933 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17405750 and 125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 39\/84*8 + (-3 - 1)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*p**2*q**2 - 3012*p**2 + 7*p*q**2 - 4370*p wrt p?\nAnswer: 22*q**2 - 6024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -8*g**7\/35 - 197*g**6\/5 + 4023*g**5\/20 - 1715*g**4\/8 + 101*g**3 - 1319*g**2. Suppose c(o) = 0. What is o?\nAnswer: -101, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -2*j + 12, -148*j + 142*j = 2*f - 25 - 7 + 16 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -5 (b) 0 (c) 0.2 (d) 2456 (e) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.14 - 0.06. Let k = -0.07 - -3.07. Sort 4, k, p in decreasing order.\nAnswer: 4, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 170. Let b be f(0). Let p = 172 + b. Let t(c) = -c**3 - c + 0*c**2 + 2*c + 2*c**2. Calculate t(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -11 + 8 + 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29202, -28503, -27358, -25785, -23802, -21427?\nAnswer: -18678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 11:56 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 334947503?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*u**2 + 0*u**2 + 93*u**4 - 75*u**4 wrt u.\nAnswer: 432*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59051250 divided by -9050.\nAnswer: 6525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s\/(s\/s**(2\/25))))\/s*s\/((s**(2\/37)*s*s)\/s)*s)**40 assuming s is positive.\nAnswer: s**(13808\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -5*d + 4*h, -d - h = d - 5. Suppose 2*r + 13 = d. Let v(l) = -3*l - 4. What is the units digit of v(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2500, 3461, 4420, 5377, 6332, 7285?\nAnswer: 8236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 80562049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 3. Suppose 2*d - 7 = 3*d. Let i be 6\/(-21) - (2 + (-271)\/d). Let r = i + 36. Let g(h) = -3*h**2 - 5. Calculate r*p(k) - 3*g(k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*t**3 + 13*t**2 + 63 - 10*t**2 - 18*t**2 wrt t?\nAnswer: 18*t**2 - 30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (123*y**2 + 676*y - 676*y)*(-2*y + 6*y + 5*y) to m*y**2 + o + s*y**3 + u*y and give s.\nAnswer: 1107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 1212 = -2712. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s + s**3 + 8*s - 13*s + 3*s.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -7 - 12 - 2*c**2 + 9 - 11*c. Let k be u(-4). What is the hundreds digit of 354\/k - (22 + -27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 10:27 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 + 171 = 3*w. Factor 3\/2*t**5 + 3*t**w + 9\/2*t + 0*t**4 - 3 - 6*t**3.\nAnswer: 3*(t - 1)**3*(t + 1)*(t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1693724212.\nAnswer: 2, 17, 24907709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b + 2. Let p(c) be the second derivative of 40 + 3\/2*c**2 + 2*c + 1\/3*c**3 + 1\/12*c**4. Calculate -3*m(q) + 2*p(q).\nAnswer: 2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1220.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 45\/(-75) - (-76)\/10. Suppose f*w + 2*w + 81 = 0. Which is smaller: w or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 473508*x + 706901.\nAnswer: 473508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 11. Let h(x) = 3*x**2 + 2*x - 1. Let o(a) = -2*a**2 + 6*a**2 - 3*a**2. Let k(s) = t*o(s) - h(s). Factor k(f).\nAnswer: (f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 + 26. Let z(g) = -4 + 6*g + 31*g**i - 3*g + 3*g. Is z(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 164*j**3\/5 - 310022*j**2\/5 + 29314656*j - 11073510.\nAnswer: 2*(j - 945)**2*(82*j - 31)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -18*o**2 - 372*o - 976. Let i(x) = -2*x**2 + 15*x. Let v(a) = -8*i(a) + t(a). Determine g, given that v(g) = 0.\nAnswer: -244, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 40*28*((-91)\/14 + 7). What is the highest common factor of g and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and ((-6)\/15)\/(22\/(-1320)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - -15.1. Let u = 13 - f. What is the closest to -2 in u, 0.3, -1\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8222*r - 1614.\nAnswer: -8222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l\/(l*l\/l**(-3\/13))*l*l\/l**(-12\/11)*l*(l\/(l*l\/(l*l**(-1\/2))*l))**(-42) assuming l is positive.\nAnswer: l**(9561\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 10 = -2*h - 16, -185 = -48*h + 6*j - 809 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1771245718 to the power of 1\/2, to the nearest integer?\nAnswer: 42086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54530.631 + -54495. Let v = m + -0.131. Let j = -36 + v. Which is the nearest to 0? (a) -2\/5 (b) j (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2634169438 to 4 dps.\nAnswer: 0.2634","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (143*g**4 + 116*g**4 - 314*g**4)*(17 + 29 - 21) to l*g**3 + h*g**2 + s*g**4 + a + k*g and give s.\nAnswer: -1375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4800 and 2312.\nAnswer: 1387200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2464.5 - 2525.528. Let z = j + 61. Round z to 3 decimal places.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 - 3*y**2 + 4*y**2)*(-4*y**2 + 0*y**2 + 3*y**2) + 961966*y**4 - 915713*y**4 + 0*y**3 + 0*y**3.\nAnswer: 46251*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29800 and 4820.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4062 = -120*p + 6069 - 1971 for p.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -60\/1399 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m + 31 + 8 = 0. Determine l so that 0*l**2 + 8\/7*l**m + 0 + 0*l + 2\/7*l**5 - 8\/7*l**4 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 1498, 81 in decreasing order.\nAnswer: 1498, 81, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 w when four letters picked without replacement from {w: 7, v: 2, z: 3}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/1298, -2\/189, -0.3 in decreasing order.\nAnswer: -1\/1298, -2\/189, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -80.5 + 15.5. Let j = f - -65. Which is greater: j or 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1162439 and 0.4?\nAnswer: 464975.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 29. Let t be -2 - (f\/(-3) - 0). Let y(i) = i**2 - 5*i - 4. Let n be y(6). Sort n, t, -3 in decreasing order.\nAnswer: n, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121020 - 211200?\nAnswer: -20110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/22 and 31\/58.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -p**6\/6 - p**4\/4 + 4*p. What is the third derivative of q(g) wrt g?\nAnswer: -120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(105\/(-10)) - 738712\/(-56) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l = -a - 12*l + 4, 0 = -4*a + 13*l - 0*l + 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2b6 - 1?\nAnswer: -2b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.06 and 7371?\nAnswer: 7371.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -21.119. Let d = p + 0.319. Let i = 0.3 + 0.2. Which is the closest to 4? (a) d (b) 1\/9 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -72537, -145074, -217615, -290160, -362709, -435262, -507819?\n\"Answer: -2*j**2 - 72531*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16713161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0066416 rounded to 5 dps?\nAnswer: 0.00664","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.137 (b) -2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l + 7. Let q be b(-7). Suppose -8*n + 4*n + 100 = q. Solve 3*m = -2*m + n for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 7. Let l(u) be the second derivative of 0*u**2 + 0 + 1\/30*u**4 - 2*u - 1\/75*u**6 + 1\/15*u**3 - 1\/50*u**d. Find r such that l(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23782967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3*-1630186.4\nAnswer: 4890559.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-7)\/(35\/(-20)))\/(2 - 1). Let d = 14 + 8. Let h be d\/4 - 1\/2. Solve m = -s, -h*a + 3*a + 4*m = -22 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d**(4\/17)\/d)))**(6\/5)\/(d**18)**(-4\/3) assuming d is positive.\nAnswer: d**(1962\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of t**6\/180 + t**3 - 3*t. Let x(p) be the second derivative of u(p). Let w(g) = 3*g. Determine x(w(q)).\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 0.4, -55, -10.44?\nAnswer: -10.44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 7*x + 8. Let j(o) = o + 1. Let b(h) = 6*j(h) - p(h). Let d be b(-7). Solve d*r - 2*l + 7 = 0, 0 = -5*r - 2*l - 1 - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-759)\/6495 + ((-2)\/20)\/((-30)\/60). Which is greater: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 343.5 + 1111.5. Let x = m + -1455.1011. Round x to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64618 (base 10) to base 13.\nAnswer: 23548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2928\/(-1530) + (-2)\/6. Let o = 28\/17 + u. Put o, -1\/2, -4 in ascending order.\nAnswer: -4, o, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 9*w**2 - w + 2. Let n be d(2). Suppose z + n = 5*z. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37380655613 - 65*h**2 + 37380655613 - 6*h.\nAnswer: -65*h**2 - 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/5 of a minute?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 943 is divided by 178?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 781.4 + -781. Let d = -2 - -2. What is the second smallest value in 2\/7, t, -0.2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12917, -36888, -60859, -84830?\n\"Answer: -23971*n + 11054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0154642847 rounded to three dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-119)\/(-68)*2*12. Let b be 3 + -1 + 1\/1. Suppose -b*h + l = -21. What are the prime factors of h?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 42430 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zbbg when four letters picked without replacement from gbagcbbggrggggzgb?\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 4, 7204, -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2761.7 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(5\/((-5)\/34)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 810075?\nAnswer: 3, 5, 7, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(700))\/(2*sqrt(20)\/sqrt(5)).\nAnswer: -5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2893320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, x: 1, h: 1, i: 2, z: 4}. What is prob of picking 1 b and 1 z?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -2, 4079\/3 in decreasing order.\nAnswer: 4079\/3, -1\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8905 - 4576. Calculate the highest common factor of n and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 246026 and 10494.\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9307.7 decades in centuries?\nAnswer: 930.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 50616249 a multiple of 843?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.01236 rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.62 - -1.82. Let v = t + -1.096. Round v to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -14*l - 347. Let g be i(-25). Suppose 2 = q - 10. What is the greatest common divisor of q and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, 319, 0.2.\nAnswer: -5\/4, 0.2, 319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 533, -4, -3, 37, 0 in decreasing order.\nAnswer: 533, 37, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-4))\/(32\/2432) + 10. Solve 107 = -58*u - k for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -d + 5*d. Suppose -d*l + 426 = -4*w, 111 = -3*l + 4*w + 752. Calculate the remainder when l is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -455252*y**2. Let s(u) = -u. Give s(w(r)).\nAnswer: 455252*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + (2 + sqrt(176) + sqrt(176))**2 + -6*sqrt(55)\/sqrt(5))*1 - (3*sqrt(99) + sqrt(275) + 4).\nAnswer: 13*sqrt(11) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46106805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.4, -2, -1\/4, -0.01?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 817440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 3*s - 10. Let o be m(10). Suppose -6*f = -5*f + o. Let g be f\/(-14) - (-8)\/(-28). Solve -4 + 0 = -4*d - g*y, -3*y = -2*d + 7 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, i: 2, q: 1, h: 3, j: 2, n: 6}. What is prob of sequence nwh?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 216 and 50\/225 - 52\/(-9)?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1755)\/324 + (-6)\/(-8))*-6. Calculate the common denominator of ((-6)\/v + 0)*(-8246)\/684 and 77\/124.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 6*b. Let k(c) = 14*c - 4. Let w(v) = -31*v + 9. Let m(h) = -9*k(h) - 4*w(h). Calculate m(o(d)).\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/8, -2, -1\/37?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1))**(-9\/13))**(1\/18)\/((w**4\/w*w*w**6*w)\/((w\/(w\/(w**(-1)*w)))\/w)**(1\/33)) assuming w is positive.\nAnswer: w**(-9431\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000099989 rounded to 7 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -329*j**2 - 2613 - 2309 + 80 + 331*j**2 - 1136 in the form a + w*j + t*j**2 and give a.\nAnswer: -5978","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -10067361*f. Let j(k) = 19*k. Calculate x(j(d)).\nAnswer: -191279859*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of u**5 + 103311*u**4 + 255807*u wrt u?\nAnswer: 20*u**3 + 1239732*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-10)*(227 - -13). Let f = p - 53. Let v = f + -24. What is the remainder when 93 is divided by v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010120020 (base 3) in base 9?\nAnswer: -33506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 106*p - 2991. Calculate m(29).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x = 53*x - 840. Suppose 19*d - 20*d = -24. What is the lowest common multiple of x and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i*i**(-2\/87)*i)*i**(14\/3)*i)\/(i**(-29))**(-44) assuming i is positive.\nAnswer: i**(-36897\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -157 and -2646\/17 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3414803?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5294077 is divided by 2013?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v**(-2\/9))\/v*v)**(-1\/4))**(-34) assuming v is positive.\nAnswer: v**(136\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11291465 to the power of 1\/2, to the nearest integer?\nAnswer: 3360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -550 (base 6) in base 7?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1201224, -1201215, -1201194, -1201155, -1201092, -1200999?\n\"Answer: u**3 + 2*u - 1201227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (4 + (-6 - 0) + 3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13322 is divided by 109.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 160262 to the power of 1\/2, to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3348, -3351, -3356, -3363, -3372, -3383?\nAnswer: -3396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**2 + 44*j**3 + 0*j**2 + 3*j**2.\nAnswer: 44*j**3 + 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73 - ((-261)\/87)\/((-12)\/(-8)).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n + 2. Let a be p(-2). Let g(u) = -3*u - 3. Calculate the smallest common multiple of 2 and g(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13684 and 19404?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 8 = -0. Suppose u*o - 2*o + 52 = 0. Let b = 77\/3 + o. What is the third smallest value in 0.3, b, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.633959057 + -202.8.\nAnswer: -203.433959057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 6 = k. Let d = k - 5. Suppose 2*t - 196 = -4*i, -2*i + 94 = -d*i + 2*t. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 6*l**3 - 5*l**2 - 6*l + 4. Let x(m) be the first derivative of 5*m**4\/4 - 4*m**3\/3 - 5*m**2\/2 + 4*m + 1. Let p = 301 + -296. What is p*x(z) - 4*v(z)?\nAnswer: z**3 - z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -196, -1634, -5556, -13204, -25820?\nAnswer: -44646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1143 divided by 686.\nAnswer: 1143\/686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 441 and 756.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 52638.15um in centimeters?\nAnswer: 5.263815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 332*q = 342*q - 4350. What is the remainder when q is divided by 111?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5004.7 less than 53.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 4*s - 30. Suppose -s = n - 7. Suppose -3*h - n = -11. Let u(i) = -i**3 + 3*i**2 - i - 2. Determine u(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 92\/360 + (-4)\/72\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.81, -101, -2, -3 in increasing order.\nAnswer: -101, -3, -2, -1.81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 22 = -5*i - 3*p, -3*i = -5*p - 14. Let m be ((-16)\/5)\/i - (-2 - -3). Let o(c) = -c**2 - 5*c. Let d be o(-5). What is the nearest to d in -1\/4, 1, m?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qaqlaaaq. Give prob of sequence la.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -v + 2*v - 11*v - 9*v in the form m + s*v and give s.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 0, -2, -99, 4, -9 in decreasing order.\nAnswer: 11, 4, 0, -2, -9, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 91*j - 182*j + 5 + 6 + j**3.\nAnswer: j**3 - 91*j + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2752 - 5598 = 476*c + 359*c for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 65 + -67. Let c(q) = q**3 + 3*q**2 + 4*q + 6. Let l be c(h). Calculate the remainder when l\/3*(-405)\/(-18) is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10821*f**2 - 10821*f**2 + 2*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 + -29 - (11 + 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -k**3\/3 + 19*k**2\/2 - 4*k. Let i be q(8). Find the third derivative of -i + 3*l**6 + 3 + l**6 - 4*l**2 wrt l.\nAnswer: 480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-13)\/(-39)*19\/(76\/344)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 28377631 * -5\nAnswer: -141888155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of m**6\/60 - 11*m**5\/15 + 131*m**4\/12 - 182*m**3\/3 + 3995*m**2. Factor v(f).\nAnswer: 2*(f - 13)*(f - 7)*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 315 - 5*b - 315.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(21\/(-6) + 3). Let s = 11\/1087 + -94877\/30436. Find the common denominator of s and 261\/12 - 6\/t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of 0 + 4\/7*v**2 + 4*v - 1\/42*v**4 + 0*v**3. Suppose y(r) = 0. Calculate r.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2325c4 (base 13) in base 2?\nAnswer: 11001011100010000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.346 and -54.\nAnswer: -53.654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-8 + 12 + 3 - -6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 1 + 5. Let h = 863 - 860. Let d be 10 - -8*h\/(-6). Calculate the highest common factor of z and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24131.312 to the nearest 100.\nAnswer: 24100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -259b0 (base 12) in base 8?\nAnswer: -144524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/6)\/((65\/(-390))\/(10\/(-42))).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 111*j**2 + 19*j - 82. What are the prime factors of d(5)?\nAnswer: 2, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64\/7*x + 0 + 2\/7*x**2 = 0 for x.\nAnswer: 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i + 4. Give o(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6630 is divided by 4024.\nAnswer: 2606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 5. Let d(w) = 3*w**2 - 2*w - 3. Let u be d(a). Suppose -y + 2 = 2*l - 6, -5*y + u = -l. Solve -l*z = -5*z + 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 822978560?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69243183 is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1767155.\nAnswer: 5, 13, 31, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 5*s**4 + 60*s**3 - 95*s**2 - 390*s = 0.\nAnswer: -13, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -7153529 greater than -7153530?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m - m + 1066 = 0. Suppose -68 = 78*r - m*r. What is the third derivative of -32*l**2 - 4*l**6 - 16*l**2 + r*l**2 wrt l?\nAnswer: -480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -97*w**2 - 23*w + 4. Let a(h) = -106*h**2 - 22*h + 5. Calculate -4*a(q) + 5*o(q).\nAnswer: -61*q**2 - 27*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*y + 59*y = 11*y + 351 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3447 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 345375660?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*m**4 - 664*m**3 + 17*m + 1416 wrt m.\nAnswer: -132*m**2 - 3984*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1514 - -797. Which is bigger: -716 or d?\nAnswer: -716","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 17*q = 2220. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10267 is divided by 68?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 564069.2ng in micrograms?\nAnswer: 564.0692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-278)\/(-16) + 18\/(-48). Suppose n*x = 11457 - 662. List the prime factors of x.\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 130 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 324, 142, -40, -222?\nAnswer: -404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3230 and 6518710.\nAnswer: 110818070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 35 = -5*h. Suppose 0 = h*x - 10 - 5. Let v = 2 - x. Which is the second smallest value? (a) -4 (b) -3\/2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 488617344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (894\/(-745))\/((-21)\/(-10))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*h**5 + 37594*h**4 - 811958*h**3 + 1484838*h**2 + 7704716*h + 2372720 = 0. Calculate h.\nAnswer: -2, -1\/3, 5, 19, 6244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 176 by 1953513.\nAnswer: 176\/1953513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4818)\/144*-3 - (-15)\/(-40). Is 100 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 4*s - 32 = 0, -20*o + 24*o + 28 = 4*s for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002344184 rounded to 5 decimal places?\nAnswer: -0.00234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380426?\nAnswer: 2, 17, 67, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2079*m**2 - 38*m + 29*m + 74*m - 29*m + 710*m**2 - 34*m.\nAnswer: -1369*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -6*g + 6. Calculate w(7).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35347 - 1.1.\nAnswer: 35345.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 212183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*f + 1 - f + 2*f - 4*f + 7*f + (2 - 1 + 0)*(0*f + 0*f + 2*f).\nAnswer: 8*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 21*i + 126. Let w = 1 - 8. Is w at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31261235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oouo when four letters picked without replacement from iuouboobucuiocuooi?\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 381000.199 rounded to the nearest 10000?\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2635 is divided by 282?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2081421 is divided by 412.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-12 + -6)) + 6 + 3 + -12?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -11, 4, -40, 1, 0.1?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -104 - 11a?\nAnswer: -21e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.1, -1.7, -2, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 12:34 PM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*a + 2*a. Suppose 5*c + x = -3, 3*x + 1 + 8 = a*c. Factor c + 2\/7*g**2 + 0*g.\nAnswer: 2*g**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 616690422*f**3 - 2*f + 209981010.\nAnswer: 3700142532*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 7*h + 12. Let w(c) = c**2 - 9*c - 13. Let i(m) = -4*w(m) - 5*x(m). What is i(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g + 75. Is 25 a factor of b(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5388515 (base 9) to base 11\nAnswer: -16a6693","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0014784 rounded to 5 dps?\nAnswer: -0.00148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 354\/(-130) - (-50)\/250.\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3231 is divided by 232?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11267.409 nanoseconds to minutes.\nAnswer: 0.00000018779015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ihhhqqhihqi. What is prob of picking 3 h?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 6*y**2 + y - 6. What is the tens digit of l(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(4\/7)*l*l**(-1\/6)*(l**(2\/3))**(-4\/9))**2)**(1\/52) assuming l is positive.\nAnswer: l**(419\/9828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - p + 2. Calculate the least common multiple of -34*(7\/(-2) - -3) and h(2).\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(-2)\/t*t*t)\/(t**(1\/7)\/t)*(t**(-1\/5)\/t*t)\/(t**(-2)*t) assuming t is positive.\nAnswer: t**(93\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -5*j**3 - 1 - 8*j - 1 + 10*j**2 + 4*j**3. Is s(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lyyxxaxllnayyayby. What is prob of sequence yxy?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -20*o**3 + 9*o**2. Suppose 2*v - m + 2*m = 14, -3*v = 2*m - 22. Let j(f) = -7*f**3 + 3*f**2. What is v*x(l) - 17*j(l)?\nAnswer: -l**3 + 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 5*r - 1 - 64, -4*r = y - 58. Suppose 3*q = 7*q - 420. Calculate the greatest common divisor of r and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36 - -16)*(-2)\/(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 11*d - 3. Let g be v(-6). Let x = -55 - g. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 3803, -5 in ascending order.\nAnswer: -13, -5, 3803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((31\/((-155)\/(-20)))\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6525 and -0.8?\nAnswer: -5220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44945, -89904, -134863?\nAnswer: -179822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 230809212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1488 and 1240?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 3:17 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**3*(v**3*v)\/v*v*v*v*(v\/v**(3\/7))\/v**6*((v*v**(-7))\/v**(5\/3))\/(v**(2\/3)\/v*v**1) assuming v is positive.\nAnswer: v**(-100\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*o + 8 = 0. Let v = 1331041\/45 + -29577. Let g = -22\/15 + v. Which is the nearest to 0? (a) g (b) 1\/2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y**2 - 7095*y - 7901510 = 0. Calculate y.\nAnswer: -734, 2153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 850, -2, 2\/17, 155.4, -0.01 in ascending order.\nAnswer: -2, -0.01, 2\/17, 155.4, 850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4dec3e + -21?\nAnswer: 4dec1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 7172?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-516 + 201*p + 516)*(3*p**2 - 5*p**2 + 0*p**2).\nAnswer: -402*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2*sqrt(49))\/sqrt(7).\nAnswer: 5 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 56*u - 5. Let o(j) = j**2 + 4*j - 580. Let d be o(-26). Let l(r) = 84*r - 8. Give d*y(n) + 5*l(n).\nAnswer: -28*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19*u**2 - 346 - 505 - 501 + 17*u**2 - 104*u.\nAnswer: -2*(u + 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9893 is divided by 4924?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of o**6\/15 + o**5\/10 - o**4 - 4*o**3\/3 + 8*o**2 - o - 7. Factor z(m).\nAnswer: 2*(m - 2)*(m - 1)*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -t**7\/210 - t**6\/60 - t**2\/2 + 9*t. Let x(c) be the first derivative of g(c). Determine b, given that x(b) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-2*2*(-3*sqrt(27) + sqrt(27))**2 + 4.\nAnswer: -1724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4817.00119 to the nearest integer.\nAnswer: 4817","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 233160204 take away 4?\nAnswer: 233160200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -198.73637 to the nearest 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 x when two letters picked without replacement from {v: 1, t: 2, x: 3, i: 5, b: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114910 is divided by 144.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 - 0.2. Let f = -137\/564 - 1\/141. Suppose 2*t + y - 5*y - 10 = 0, t - y - 3 = 0. Which is the closest to f? (a) t (b) p (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -465, -10, 2 in ascending order.\nAnswer: -465, -10, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.09 * -3.\nAnswer: -3.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -36*v**2. Let s(y) = y**2 + 3*y - 12. Let z(w) = 8*w - 26 - 6*w**2 + 3*w**2 + w**2 - 6 + 5*w**2. Let a(g) = 8*s(g) - 3*z(g). What is a(n(r))?\nAnswer: -1296*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.199 in 1\/3, -30, 65, 26?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1765 = i + 2*k, -2*i + 3542 = -2*k - 0*k. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11\/(-22) + 6\/4. Is -1 + -2 + 40 - u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(280)\/(2*sqrt(7)))\/sqrt(8).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9051.063 litres to millilitres.\nAnswer: 9051063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*m + 34*m + 5*m**3 - 20*m in the form h + u*m**2 + i*m**3 + d*m and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/27 - 52500\/(-54). Suppose -3*l = l - t. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 461604825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8d4ac (base 14) to base 13.\nAnswer: c0718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 708 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -390291 divided by -390291.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*o = -17*o + 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = g + 3*g, 2*u = -5*g + 37. Calculate the highest common divisor of 384 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 518 - 503.69. What is j rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 273 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -25*53\nAnswer: -1325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54 - -66. Solve -s + 3*f = 2, i = -4*s - 4*f + 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 322, 1294, 2906, 5152, 8026?\n\"Answer: -f**3 + 326*f**2 + f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 538380 is divided by 2958.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzw when four letters picked without replacement from wwwzwwz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-15))**(-5\/4)*((((m\/m**12)\/m)\/m)\/m)**(-12\/5) assuming m is positive.\nAnswer: m**(1047\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, u: 1, x: 2, z: 4, b: 7, w: 5}. What is prob of picking 1 z and 2 w?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/2*(6 - 4). Suppose 0 + m = 4*h + s, -h - s + 2 = 0. Suppose 0 = -h*p + 5*p - 39. What are the prime factors of p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of o**6\/135 + o**5\/30 + o**4\/18 + o**3\/27 + 7*o. Factor n(s).\nAnswer: 2*s*(s + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-66)*2530\/23\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 e when two letters picked without replacement from {e: 5, p: 9}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -64 + 77. Suppose -10*i - 4947 = -j*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -419499*v**3 + 11*v**2 + 2855*v + 2?\nAnswer: -2516994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/((-13)\/(91\/(-84))))\/((-1)\/(-16)).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 97240579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4048\/(-1472))\/((-11)\/2). Are -397 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 132 and 8922?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 2, n: 5, a: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1459801 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20\/488523 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -0.7733048.\nAnswer: 4.2266952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1341444 (base 5) to base 13.\nAnswer: -c827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 2*b + 16, 3 = -5*b + 3*m + 1. Suppose -15*j + 4*x + 82 = 33, -4 = -2*j - 2*x. Solve 0 = -z + j*o - 8, -b*z - 3*z = -o + 26 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 97*k + 2130. Calculate a(18).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/((-9075)\/50) + 2*146\/(-154)?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**5 - 3*m**5 + 4*m**5 + (-m**4 + 2*m**4 - 2*m**4)*(-2*m - m + 2*m) + (-11*m**5 - 17*m**4 + 17*m**4)*(1 - 2 + 0).\nAnswer: 10*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 994423 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2906*c + 1452*c - 2 + 36*c**2 + 1450*c + 2.\nAnswer: 36*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccceeecceeeccccccc. What is prob of sequence cee?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -48796, -48634, -48360, -47974?\n\"Answer: 56*d**2 - 6*d - 48846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 39906717 to the power of 1\/2, to the nearest integer?\nAnswer: 6317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 33155017439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 3) to base 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a - 2*a - a + (2 - 2 + 1)*(-3*a + 5*a - 3*a) - 10*a - 14*a + 5*a)*(-1 + 1 - 2*a).\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 159728329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(832)*6)**2 + (-4*sqrt(832)*2)**2 - (sqrt(1053) + ((-2 + sqrt(1053))*-3 - sqrt(1053)) + sqrt(1053) + sqrt(1053))**2*-1.\nAnswer: -108*sqrt(13) + 174145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31977 and 1115319?\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.3 and 37669.\nAnswer: 37670.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -0.05338 (c) 5\/89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*j**2 + 1127 - 2178 + 1051.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -285 * 0.2\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -5*u. Suppose n = -5*j + 6*j + 1, 3*n + 3*j - 15 = 0. Solve u = z - 4 + n for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11048.\nAnswer: 2, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of -1\/300*a**6 + 0*a**4 - a**2 + 0*a + 2\/525*a**7 + 0*a**3 - 1\/150*a**5 + 0. Solve y(u) = 0 for u.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 494*v + 1976. Calculate q(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 36*y**2 + 67*y**2 - 30*y**2)*(3*y - y - 3*y).\nAnswer: -y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**3 - 7*d**2 + 3*d + 5. What is the tens digit of n(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -17*v + 94. Let h = 628 - 623. Let j be z(h). Let n(c) = c**3 - 9*c**2 - 2*c - 1. Give n(j).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + s**2 + 6*s + 11. Calculate t(5).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-1*((-2*sqrt(77)*-6*3)\/(sqrt(567)*2*-2))**2.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16892216*v + 2315302?\nAnswer: 16892216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 11*o - 10. Let j be w(17). Let t = 24 - 24. Suppose -c - u + 39 = t, -3*u = -2*c - 2*c + j. Is 6 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(-3*h**2 - 4*h**2 - h**2) + (2*h - h - 3*h)*(h + 2 - 2).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 232.5602 rounded to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 + 1. Find the common denominator of -61\/6 and (3 + i\/(-40))*2\/(-2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 152196391 to the nearest integer?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x + 6*x + 7*x. Let y(s) be the second derivative of 1\/2*s**3 + 0*s**2 + 0 + 18*s. Determine y(g(c)).\nAnswer: 27*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5.879583 microseconds?\nAnswer: 0.0000000016332175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*o = -f + 2, -3*f = 4*o - 6. Suppose -f*i + 7 = -63. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (91 + 3)*1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/84936 and -107\/240.\nAnswer: 849360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o**(11\/6)\/o)*o))**6*(o*((o\/o**(-1\/12))\/o*o)\/o)**(2\/59))**(-26) assuming o is positive.\nAnswer: o**(4433\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/13 - 67\/(-13). Suppose -35 = -a*y - 10. Suppose o - y*o + 68 = 0. What are the prime factors of o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -17596, -17603, -17614, -17629, -17648, -17671, -17698?\n\"Answer: -2*b**2 - b - 17593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-129*t - 207*t + 473*t)*(-2*t**2 - 2*t**2 + 5*t**2) - t**2 + 3*t - 3*t + t**3.\nAnswer: 138*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2725?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/30 and 1\/450072.\nAnswer: 2250360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 106 - 102. Suppose 3*r + 791 = h - 17, -k*r - 1081 = -5*h. Let a = 383 + r. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -236.6 - -237. What is the second biggest value in k, 23, -1\/8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(-2*f**5 - 2*f**3 + 2*f**3) + (3*f**4 + 0*f**4 - 4*f**4)*(0*f - 3*f + 2*f) - 4*f**5 + 3*f**5 + 0*f**5.\nAnswer: 4*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 4*r**2 + 3*r - 3. Give s(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 4*n + 2. Let t be a(4). Suppose y - t = -0. Solve -y = x + 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 634337 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -631524*b**3*i**2 - 9*b**2*i - 128*b*i**2 - 3*b*i - 8*i**2 wrt b.\nAnswer: -3789144*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 6*r**2 - 2. Suppose 3*o - 15*o = 24. What is the remainder when x(o) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2, -0.4, 4, 95\/7, -4 in decreasing order.\nAnswer: 95\/7, 4, 2, 0.2, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(153)\/((sqrt(9) - (sqrt(36) - sqrt(9))) + sqrt(9)) + 5 + (-2*(sqrt(68)*2 - sqrt(68)))\/(sqrt(4)*-1*5).\nAnswer: 2 + 7*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 76.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f - 16*f - 84 + 57 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 - 34. Let q be (9\/6)\/(b\/496). Let z = 178 - q. Calculate the remainder when z is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -5. Let t be (p + 1)*4\/8. Let y(m) = -m + 61. What is the remainder when y(t) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 86.1006276 + -55.33789. Let c = z + 7.237264. Let d = 38 - c. Round d to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 220 and 4972?\nAnswer: 24860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 11784765?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.5 (b) 1\/2 (c) -1.3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**2\/5 - 133*f\/5 - 2718\/5 = 0.\nAnswer: -18, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16a7 + 620?\nAnswer: 1cc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*x - 109 = -844 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) 0 (c) -82 (d) 72\/7 (e) 2\/3 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xpp when three letters picked without replacement from {x: 11, s: 4, p: 3}.\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -14e (base 16) in base 11?\nAnswer: -284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-81)\/(-18)*1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) -2.4 (c) -2.9 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 6 + 3)*(3 + 0 + 2)*(-8*y + 0*y + 2*y).\nAnswer: -120*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8685157 and 5.\nAnswer: -43425785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 2) + (2 - 2) - 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2*((12285\/(-10))\/(-7))\/1 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43a (base 13) to base 3.\nAnswer: 222212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p. Suppose -4*r = s - 15, 2*s + 2*s - 3 = 3*r. Let j(o) = s - 7 - 2*o + 4. Calculate j(k(m)).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jx when two letters picked without replacement from {x: 3, j: 1, h: 6, s: 2}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-50)\/4)\/((-10)\/(-360)). Let t = -297 - y. Is t a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3050.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000110111010101010 - -11?\nAnswer: 10000110111010101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g*i*q + 6*g*i - 6*g*q + 251*g + 803*i*q with respect to q.\nAnswer: -2*g*i - 6*g + 803*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -0.074, -0.23, -2.6, -3\/7, -2?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57 and 3838?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 590 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 220000 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 0*w**2 + w**2 - 1 - 3*w**2. Let k(p) = -22 + 22 + 2*p. Give y(k(z)).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 3*m - 7 + 14*m.\nAnswer: 11*m - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, t: 2, z: 1, h: 7, o: 1, y: 2}. Give prob of sequence zohh.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -6886.\nAnswer: -20658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 1\/6*n**4 + 0*n**3 + 3 + 0*n**2 + 3*n. Let z(i) be the first derivative of m(i). Let j(f) = -f**2. Give z(j(b)).\nAnswer: 2*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.53728l?\nAnswer: 4537.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -28397, -28417, -28439, -28463, -28489?\n\"Answer: -h**2 - 17*h - 28379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -4, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 143171929*u**3 + 192663947*u.\nAnswer: 859031574*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3*sqrt(450))\/sqrt(3))\/(sqrt(512) - (sqrt(14) - sqrt(1134))\/sqrt(7)).\nAnswer: 5*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 165\/(-22)*-2*1. Let p = 4 + -1. Suppose 3 - h = -p*f. Which is smaller: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/6)\/(1\/76). Let j = -4 - u. Suppose 2*o - 2*i = j, 5*i = 4*o - 41 - 30. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggccggggggcgggcggggg. What is prob of picking 2 g?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 8*h + 1. Let r be q(-6). Let l(k) be the second derivative of -k**4\/12 - 11*k**3\/6 - 4*k**2 + 100048*k. Calculate l(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20158002?\nAnswer: 2, 3, 439, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -587 - -590. Let w(l) = -l**2 + 4*l - 1. Determine w(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 475*h**3*i*j**2 - h**3*j**2 - 28*h**3*j - h**2*i*j**2 - 23 wrt i.\nAnswer: 475*h**3*j**2 - h**2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5278.\nAnswer: 2, 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 1226534?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*n - 260 = -27*n. Let l = 0.4 - -0.2. Let j = 0.1 - l. Which is the second smallest value? (a) 4 (b) j (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -2*f - 82, 5*f + 305 = -4*l + l + 74 for f.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**3 + 55*t**2 - 224*t - 10. Let i be l(5). Let h = 3 + -4. Let k = h - -2. What is the third biggest value in i, -0.2, k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -94 + 90.5. Let d = -6.5 - o. What is the third smallest value in 0, -31, d, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 75\/5 - (-24)\/(-3). Is c != 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -3 + (-14 - -13).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15\/11489 or -186?\nAnswer: -186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/272 and -51\/4016?\nAnswer: 68272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 706 a factor of 35861272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2, 34, 88, 154, 226, 298, 364?\n\"Answer: -z**3 + 15*z**2 - 2*z - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -406 - -188. Let c = d + 206. Which is bigger: c or -21\/2?\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i**2 + 7*i + 1. Calculate the remainder when 47 is divided by x(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 701 - 2146 + 4*p**3 + 739 - p**3 + 706.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9747, -19499, -29253, -39009, -48767, -58527, -68289?\n\"Answer: -t**2 - 9749*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -12*s**2. Let n(v) = 3804781*v**2. Give t(n(a)).\nAnswer: -173716301495532*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11000 and 50.3.\nAnswer: 553300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3611 less than -28772548?\nAnswer: -28768937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*w*x**2 + 11*w*x + 52542*w - x**2 - 79137*x - 441 with respect to x.\nAnswer: 36*w*x + 11*w - 2*x - 79137","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.35622231 rounded to two decimal places?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4669439 * 1.\nAnswer: -4669439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1048713 and 357?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4730 and 560.\nAnswer: 264880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.15614 and -0.03.\nAnswer: -0.0046842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/4))**(-3\/8)\/((y**2\/y)\/(y*y**(-7)*y*y*y)))\/((y\/(y*(y*y**(-1))\/y))**(-28)\/(((y**(-3\/10)\/y*y)\/y)\/(y\/(y*y**(-9))*y))) assuming y is positive.\nAnswer: y**(2047\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 155, 1315, 4435, 10487, 20443?\n\"Answer: 162*d**3 + 8*d**2 + 2*d - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i**2 - 8*i**2 + 836*i**3 + 792*i**3 - 1 + 5*i - 1626*i**3. Let v = 14 - 10. Let r(q) = -2*q**3 + 4*q**2 - 4*q. Give v*o(h) + 5*r(h).\nAnswer: -2*h**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 10. Solve -g + 0*g + 11 = -4*j, j + b*g = -8 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 710918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 5)*(-3 - 2 + 3 + (-2 + 3 + 1)*(-1 + 3 - 1) - 3 + 4 + 1)*(-r - 3*r + 2*r).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-609)\/(-28) - 2\/(-8).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 54\/5 of a kilometer?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 100706 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 bigger than 216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/15*9*((-13)\/26)\/(2\/12)\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-6))\/(6\/16*68\/(-102))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) -0.4 (b) -0.2 (c) 5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -125, -189, -255, -329, -417, -525, -659, -825?\nAnswer: -1029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158381 is divided by 39594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkk. What is prob of picking 3 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from evnrxcven. Give prob of picking 2 v.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*r**6 + 60818*r**5 + 39*r**2 - 96*r - 1.\nAnswer: 600*r**3 + 3649080*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2 + 2. Let c = 160 - 162. What is o(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 20*v**3 - v**2 + 1. Let k be t(1). Suppose -5*u - i + k = 0, -u - 4*i = i - 4. Suppose -2*c = -c - u. Solve 0*a + c = a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 151 + -148. Which is the closest to -1? (a) f (b) -1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 4*t + 0*t**4 - 2*t**4 + 3 + 1 in the form k*t**2 + f + h*t**3 + u*t**4 + v*t and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, s: 3, h: 1, f: 3, w: 1}. What is prob of picking 1 h, 1 s, and 1 w?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -7. Let h = -26 + 16. Let x be (2 - 1)*(-2)\/h. Which is the smallest value? (a) 0.1 (b) m (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - u**2 - u + 1. Let r be y(4). Suppose 7399*d - 7396*d = 291. Let a = r + d. Is 14 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 8*k - 3. Let a be b(3). Let l be (-4)\/10 + a + 665\/100. Is -1\/26 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -120, -254, -438, -672?\nAnswer: -956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2121392745 to the power of 1\/4, to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115593009.\nAnswer: 3, 7, 23, 179, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -2*m**3\/3 - 1307. Let b(r) = r + 6093. Determine u(b(a)).\nAnswer: -2*a**2 - 24372*a - 74249298","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9021)\/124)\/(245\/4). Let w = 8\/147 + y. Are -1 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/164 and -33\/16.\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m + 2*v - 2177 = -20*m, 5*m + v = 2176. Let i = 483 + m. List the prime factors of i.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 10, -0.01, 7?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 1)*(-2 + 2*q + 2) + 2 - q - 2 + 846 + 853 - 2544 + 845 + 70702*q to o*q + b and give o.\nAnswer: 70699","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -4. Suppose -5*h - 75 = -4*s - q*h, s - h = 19. Calculate the remainder when 59 is divided by s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1663, 6654, 14975, 26626?\nAnswer: 41607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -324357 + 465122. Suppose 34782 = x - z, 0 = 5*x + 2*z - y - 33138. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2991*i**2 - 50. Let c(y) = 1788618*y**2 + 29910. What is -5*c(m) - 2991*p(m)?\nAnswer: 2991*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2\/7 - 152*g\/7 - 156\/7.\nAnswer: 4*(g - 39)*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -5. Suppose -4*x = -21 - 3. Let d = x - y. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 - -24. Are z and 0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 a factor of 2259490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 1370*m**2 + 8 + 5.\nAnswer: -1370*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uhhu when four letters picked without replacement from uhhhuuuhuhuu?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -17*i - 38. Give r(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 17*j**2 + 38*j + 4. Let x be u(-19). Suppose 0 = 2*t, x*p - 452 = -5*t - 140. Is 39 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001782903 to seven decimal places.\nAnswer: -0.0001783","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 4*c - 8, 4*c + 0*c + 3*w = 0. Suppose 5*l - 80 = -2*v, -3*v - 48 = -l - 2*l. Suppose -c*n - l = -46. Does 7 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*k**2 + 37*k**2 + 0*k**2 + 95*k**2 + 0*k + 3*k.\nAnswer: 152*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 395 = d. Suppose 3*l = p - 89, -2*l + 7*l + d = p. Suppose 3*c = 5*c - p. Is 26 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + x - 2*x)*(3 - 4 + 3) + 15*x - 4*x + x - 2.\nAnswer: 14*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1357240126?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4259 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3\/94 - 85\/282. Put -15, -0.5, -2\/5, w in increasing order.\nAnswer: -15, -0.5, -2\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.66 + 0.96. Which is the second smallest value? (a) 17 (b) n (c) -0.3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228690710 to the power of 1\/2, to the nearest integer?\nAnswer: 15123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 498*g**2 + 34*g + 7971. Let q(a) = 172*a**2 + 12*a + 2657. Let h(m) = -17*q(m) + 6*z(m). Differentiate h(l) with respect to l.\nAnswer: 128*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56995 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*w + 1044*w = 86*w - 29376 for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 12*v + 2 = -79, 2*t - 19*v = -146 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 303795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 - (19 + -5) - -5. Sort s, 1, 6, -4 in ascending order.\nAnswer: -4, s, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -795661 + 2035671. Suppose d + 4*m + 247980 = 0, -52*d + 47*d - f = -2*m. What is d rounded to the nearest 10000?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(324))\/sqrt(9))\/(((sqrt(132) - -2*sqrt(132)) + sqrt(132))\/sqrt(11))*3*1*-6.\nAnswer: -9*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 505 - 4\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 95 and 33888989?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 1. Let k be n - -1 - 4\/(-2). Let f be 110 - 2*2\/k. Calculate the highest common factor of f and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**2 - 40058739*v + 440646492 = 0. What is v?\nAnswer: -13352924, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2859 - 563 = -58*p for p.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-15))\/(8\/440)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 106030718049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (234\/12)\/(-13) + 1\/(-2). What is the units digit of 56 - (-5 + 2 + d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 20*n**2 - 164*n - 2587. What is j(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1141999.\nAnswer: 1141999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 2:12 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 646 is divided by 140.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32994580 to the nearest integer?\nAnswer: 5744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Work out 46 * -4.\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*w = -153*w + 18. Solve -w = a - 5*s, -s = -0*a - 3*a - 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95003912*s**2 + 27*s**3 - 95003912*s**2.\nAnswer: 27*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (720\/96)\/(2\/(-4)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 194090481 to the power of 1\/2, to the nearest integer?\nAnswer: 13932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 6:47 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20979691 is divided by 505.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 172 - 134. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.01 + 2.01. Let b = 0.085 - -0.325. Let m = b - 0.01. What is the closest to t in m, 2\/7, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -k**5 + 23*k**4\/4 + 85*k + 215. Find the first derivative of a(z) wrt z.\nAnswer: -20*z**3 + 69*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*r - 0*r. Let q = -11 - -15. Find the first derivative of 3 + d**2 - r + q wrt d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pehhepphephedd. Give prob of sequence epph.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2058 = -18*i + 12*i. What is the remainder when i is divided by 87?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 20*u + 38 = 0. Solve a + 1 = u*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/31464 and 67\/136.\nAnswer: 534888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(11))*3 + sqrt(11) - (sqrt(539) + -5))**2 + (3*sqrt(396) - sqrt(396)) + (sqrt(11) - (sqrt(132)*2)\/sqrt(12)).\nAnswer: -19*sqrt(11) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30981, -25630, -16713, -4230?\nAnswer: 11819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 982\/34 - 3 - (-2)\/17. Suppose 30 - v = -4*b. Is b <= 2\/749?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 9.6. Let o = -1.3 + u. What is the second smallest value in 1\/3, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 42805?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/8)\/((-2)\/8). Suppose 0 = 4*a + u - 5 - 12, 5*a = -5*u + 10. Sort r, -3, a in increasing order.\nAnswer: -3, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 423\/389135 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573)*-4*-3 - (2 + -2 + sqrt(1872)).\nAnswer: 120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -158 + 163. Suppose -5*t = q - 2*q - 603, 0 = 5*t + d*q - 615. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/47688 and -17\/4.\nAnswer: 47688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 161.7 times 2064?\nAnswer: 333748.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.130471 nanometers to meters.\nAnswer: 0.000000008130471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**3 - 51*p**2 - 50*p = 0. Calculate p.\nAnswer: -50, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + -2. Let v be 2\/((4\/21)\/b). Let g = v - -23. Solve 5*o + u - g*u = -14, 5*u - 22 = o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 2*q**5 - 142*q**4 + 3234*q**3 - 30250*q**2 + 101156*q = 0.\nAnswer: 0, 11, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -1292*r + 160210. Let w be m(124). Solve -t**w + 7\/4*t + 11\/4 = 0 for t.\nAnswer: -1, 11\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 193.964 to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 112*g**3\/3 + 2*g**2 + g - 37. Let r be o(-2). Let f = r - 187. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(2299) + sqrt(2299) + 1 + sqrt(2299) + 5 - (sqrt(2299) + -2 + sqrt(2299))*-2)**2.\nAnswer: 308*sqrt(19) + 112650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000001000 - -1?\nAnswer: 110000001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (0 - -1) + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, j: 1, u: 1, d: 1, c: 1}. What is prob of picking 1 j and 1 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 3*h**2\/7 + 6981*h\/7 + 90246\/7 = 0.\nAnswer: -2314, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -20, -8, 20, 70?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2 + 2*r + 2. Suppose 3*t + 2*b = -6, -t + 3*b - 2 = 4*b. Calculate l(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 2)*(-6*c + 6 + 3*c + c) to the form o*c + n and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/190212 and 127\/195756?\nAnswer: 282084396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o + 18. Let d(f) = -22*f + 571. Let t(j) = 12*j - 329. Let h(u) = -4*d(u) - 7*t(u). Give -4*h(b) + 3*x(b).\nAnswer: -b - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -86, -84, -82, -80, -78?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 42 = 2*q - 42 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 7*p + 2. Let k(t) = -t. Let o(q) = -a(q) - 5*k(q). Suppose 168 = 19*y - 75*y. Give o(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4*p + 4*p - 7*p**2. Let x(l) = l. Let j(r) = -26*r. Let u(h) = 5*h. Let g(c) = 3*j(c) + 16*u(c). Let i(a) = -g(a) + 3*x(a). What is q(i(v))?\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/9 + 40*f**2\/9 - 2*f\/9 - 40\/9.\nAnswer: 2*(f - 1)*(f + 1)*(f + 20)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 at least as big as -11\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/2*36\/(-45). Sort l, 1, 8, 0.\nAnswer: l, 0, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -632*n + 630*n + 855 = 45*x, 76 = 4*x - 17*n for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 74.03 + -75. Let i = m + -7.23. Let x = -8 - i. Which is the nearest to x? (a) 1 (b) -2\/3 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 15 = -2*j + j, 3*v - 7*j + 4782 = 4717 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/27*10317\/(-724).\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -11110001010?\nAnswer: -11110000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.551, -5, -135, 0.13 in ascending order.\nAnswer: -135, -5, -1, 0.13, 0.551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25 in 4, -1\/33, 2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -63389842.84 minus -2.85?\nAnswer: -63389839.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-210)\/(-1218)*29)\/((-10)\/12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -131 + 134. Let q(g) be the first derivative of -3\/7*g**2 - 1\/14*g**4 - 4 + 2\/7*g**m + 2\/7*g. Find u, given that q(u) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000101100101 (base 2) to base 16.\nAnswer: 1165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 50*k + 11. Does 47 divide i(30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222634 (base 10) in base 12?\nAnswer: a8a0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-42)\/(-6) - 6)*(-3 - -1088). Let u = t + -454. Is u a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 46 - 42 - 220*v - 98*v - 118*v + 20*v as r + l*v and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -61? (a) -2\/3 (b) -5 (c) -3 (d) 1\/36 (e) 3\/4 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is beb7 - -8?\nAnswer: bec0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-62)\/(-10) - 3\/15. Let y(s) = s**3 - 4*s**2 - 3*s + 6. Let q be y(c). Suppose -r - 3*r = -q. Calculate the greatest common factor of r and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/8 - 0) + (-5646)\/(-22776). Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g - 8*g + 36 = -11*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**9\/m)\/m)\/(m*m*m**(-7))*m**(-3\/14)*m\/(m\/m**(1\/2)) assuming m is positive.\nAnswer: m**(86\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 7*d**2 - 7*d - 9. Let l be g(5). Let c be (21\/2)\/(l\/52). Suppose 88*o = c*o - 21. Let m(f) = f**3 - 7*f**2 + f - 5. Determine m(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g**3\/2 - 339*g**2\/2 - 22491*g = 0. What is g?\nAnswer: -102, 0, 441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**5 + 53416*j**4 - 2023872*j**3 - 2130712*j**2 + 2023876*j + 2077296 = 0. Calculate j.\nAnswer: -1, 1, 39, 13316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -70 - -641. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -78 and 2.15682.\nAnswer: -168.23196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 11*x**2 - 2*x + 134. Let f(h) = 564*h**2. Calculate i(f(v)).\nAnswer: 3499056*v**4 - 1128*v**2 + 134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m + 2. Let y(f) be the third derivative of f**4\/12 + f**3\/6 - 2*f**2. Give 3*i(n) - 5*y(n).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -8. Suppose -p - 3*h - 2*h = 23, -50 = -5*p + 8*h. Suppose p*q - 5*q + g = -o, -3*q = 2*o - 3. Which is the closest to q? (a) 1 (b) -0.5 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*f = 5*i + 215, -5*f + 509 = -3*i. Let b = f + -88. Let v be -2*b\/(-4)*1. Solve 2*g - 2 = v for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-8) - (-89631)\/552. Sort -5, 2, 3, h in descending order.\nAnswer: h, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 6*g - 4. Suppose 3*j = -s - j - g, -3*j = 4*s. Solve f + s = -0*f + 5*n, -5*n = -4*f - 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*d**4*p**2 - 15*d**4*p - 31*d**4 + 569*d**2*p - 4*d*p**2 + 3*p**2 wrt d.\nAnswer: 72*d*p**2 - 360*d*p - 744*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/8 (b) 4 (c) -0.4 (d) -0.1 (e) -20371\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 216 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -3401114?\nAnswer: 3401113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127698?\nAnswer: 2, 3, 21283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 84, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 37*n**7\/14 - 89*n**3\/6 - 38*n. What is the second derivative of v(y) wrt y?\nAnswer: 2220*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/27 + 24\/(-27))*3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 5:43 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31537 divided by 5.\nAnswer: -31537\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17942*x - 17772*x + 10880 = 0 for x.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 36, -5 in descending order.\nAnswer: 36, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -772054, -771694, -771334, -770974, -770614?\n\"Answer: 360*s - 772414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*a - 4*r - 7 = 0, 0 = a + r + 2. What is the units digit of a\/((7 + -3)\/48)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 + 31 - (-4)\/((-8)\/(-44570)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 77*z**3 + 6*z**2 - 46*z - 47. Calculate o(-1).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -88191*-0.26\nAnswer: 22929.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, r: 1, n: 1}. Give prob of picking 2 f.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1347\/4 + -337. Which is the third smallest value? (a) 0 (b) 6\/11 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 79369326 to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 f when two letters picked without replacement from wwqwzqwzffwz?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5421 (base 6) in base 2?\nAnswer: 10011010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2187416 or -2187420?\nAnswer: -2187420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/5 (b) 2.3 (c) 1520\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/39 - 297\/(-13). Suppose z = 4*k - 49. What is the remainder when 34 is divided by k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -2. Let r = w + -5. Let g = -7 - -8. What is the nearest to 1 in g, 0.3, r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 392 - x + 13*x - 13*x - x as k + n*x and give k.\nAnswer: 392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23382782 a multiple of 4188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 + 7176*g.\nAnswer: g*(g + 7176)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6589 + 871?\nAnswer: 734a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 26 = -4*a, -5*a + 4*y + 0*y - 40 = 0. What is the smallest value in -5, a, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 20 + -2 + 3 + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 1, 3324, 2240 in increasing order.\nAnswer: -1\/2, 1, 2240, 3324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/124 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of p**4 + 505*p**3 - 477*p**2 wrt p?\nAnswer: 24*p + 3030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -6*(4 + 0 + (sqrt(245) - (sqrt(245)*2*-6 + sqrt(245)))) + 4)**2.\nAnswer: 24192*sqrt(5) + 1270656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((10\/6)\/1)\/(64\/((-56832)\/37))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 821861809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/4, 1\/3, 3, -0.02?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -947, -1892, -2837?\nAnswer: -3782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c - 11. Suppose -6*j - 9 + 21 = 0. Let p(q) = q + 1. Let r(y) = j*p(y) + v(y). Is r(-16) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 + r - r)*(4*r**3 - 23*r**3 - 178*r**3).\nAnswer: -394*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 238\/11 in 2660, 0.5, 24\/5?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24252167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -207707.251 rounded to the nearest ten thousand?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50572.\nAnswer: 2, 47, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 312162, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/13 or -20\/10477?\nAnswer: -20\/10477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 7*g + 3. Let c be h(8). Let z(k) be the third derivative of k**6\/120 + k**5\/15 - 5*k**4\/24 + k**3\/3 - 4*k**2. Give z(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 482632 - 514408 = 993*w for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25844911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 11 + 7*u - u + 3*u - 8*u + 21. Let x be y(-28). Put x, 9, -2 in descending order.\nAnswer: 9, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-4))\/(d\/((d**4\/d*d)\/d))*(d\/(((d**(3\/5)\/d)\/d*d)\/d))**(1\/5) assuming d is positive.\nAnswer: d**(-13\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/5468 + 43753\/49212. Calculate the common denominator of i and -93\/28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -11*b**3 - 17*b**2 - 6*b - 20. Let t(o) = -86 + 2*o - 82 + 4*o**3 + 6*o**2 + 175. Let c be (1*-6)\/(3 - 2). Calculate c*v(y) - 17*t(y).\nAnswer: -2*y**3 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x - 15. Let g be m(-5). Suppose g = b - 1 - 2. Find the second derivative of 150*r + 3 + 6*r**b - 3 - 147*r wrt r.\nAnswer: 36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.219 + 1.209. Let h = o + 0.01. Which is the nearest to -0.1? (a) 0.2 (b) h (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 7*w + 3. Let j be i(-4). Let u be -16*(j\/(-6) + -4). Are -4 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 24*l**2 + 2*l - 1. Let g be t(1). Let h be (24\/(-15))\/((-5)\/g*2). Solve 7 = 5*j - 4*k - 2, h*k + 5 = j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 7*r**2 - 7*r - 4. Let o be j(8). Suppose 0 = 3*m - 3*p - 58 - 221, -2*m + 184 = -o*p. Is 16 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -39, 5, -194, -15?\nAnswer: -194","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.58 - -4.42. Let f = 767 - 756. Which is the second biggest value? (a) o (b) f (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x - 4. What is p(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/6)\/(5\/15). Let o = -0.55 + 0.04. Let f = 0.01 + o. What is the smallest value in 0.4, f, m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -3\/2 (c) 0.75 (d) -10\/3 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**6 + 152*i**3*u**3 + 105*i**3*u + 8*i**2*u**2 - 630*i*u**3 + 3*i*u wrt i?\nAnswer: 240*i**3 + 912*u**3 + 630*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + n + n)*(n**3 + 2*n**3 - n**3) - 4*n + 4*n - 2*n**4 + 6*n**4 - 4*n**4 - 9*n**2 - n**4 + 110*n**2 - 110*n**2 + 39*n**4.\nAnswer: 36*n**4 - 9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 2, c: 2, u: 10}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 641902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -11 - (8 + 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -121*y**4\/4 - y**3\/3 + 71*y**2\/2 + 44. Find the third derivative of a(g) wrt g.\nAnswer: -726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*u**6 + 2*u**5 - 2*u**4 + 811*u**2 - 3*u?\nAnswer: 240*u**3 + 120*u**2 - 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 10*a**3\/3 - a**2\/2 - 4*a + 3. Is z(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.115086 + -103521.7?\nAnswer: -103521.584914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 29, 6\/31, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.17, -2, 1\/2, 1\/6 in ascending order.\nAnswer: -2, -0.17, 1\/6, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -29, -7922?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 5*c + 34, -2*k + 16*c - 11*c = -74. Let t be 3 + k\/(-18) + (-4)\/24. Factor 4\/3*m**5 - 8\/3*m**3 + 0 + 0*m**2 + 0*m + t*m**4.\nAnswer: 4*m**3*(m - 1)*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and -1029\/2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (38\/(-6))\/((-14)\/42)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 156536568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 3:51 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1307763 is divided by 435914.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = x + 603, 2*x - 3*x = 3*b - 1825. List the prime factors of b.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*z + 29*z = 5*a - 38*z - 46, -306 = -31*a - z for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 106 - 0. Let w = y + -32. What is the remainder when w is divided by (-225)\/(-12) - 1\/(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8840 is divided by 8671?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 62*d**6 + 5*d**5 + 1586*d**3 + 401*d**2 + 1017*d + 1?\nAnswer: 7440*d**3 + 300*d**2 + 9516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 - 47 = -2*t. What is the first derivative of 91*n**t + 6 - 46*n**4 - 38*n**4 wrt n?\nAnswer: 28*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2065576 decades in years?\nAnswer: 2.065576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -549\/14 + 79\/2. Let v = -181.17 - -180. Let y = -4.17 - v. Sort c, 5\/6, 3\/8, y in decreasing order.\nAnswer: 5\/6, 3\/8, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 8*t - 3*t**2 - t**2 - 485 + 459. Let f be h(6). Sort f, 5, 2 in decreasing order.\nAnswer: 5, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/((-690)\/(-260))*((-6)\/(-4))\/(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 2*j**2 + 2*j + 3. Let l be b(-3). Suppose 2 = -4*t + l. Solve -4*c + 2*g = -21 + t, 4*g + 4 = -4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -97905*y + 195805*y - 282 - 97924*y in the form c*y + i and give i.\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18977130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.048 * -2399.24\nAnswer: -115.16352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-16)\/4)*25\/30.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(200))**2 + sqrt(2))*2 + 3.\nAnswer: 82*sqrt(2) + 411","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {e: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -933, -934, -935?\nAnswer: -936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -8, 2\/41, -1\/45?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + -6 - -18) + 12?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1070.0061 to the nearest integer.\nAnswer: -1070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1140 and 11324.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*g - 11*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6282.4255 and 5?\nAnswer: 6277.4255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -4 + 4*g + 0*g**2 - 1\/3*g**3. Differentiate d(m) wrt m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123, -245, -367, -489, -611?\nAnswer: -733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*l**2 - 1)*(3 - 3 + 2*l + (0 - 4 + 3)*(-2*l - 1 + 1)).\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -43.9, -2\/3, 7\/4 in ascending order.\nAnswer: -43.9, -6, -2\/3, 7\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(204) - (-2*sqrt(204) + sqrt(204))) + sqrt(204))*-3)\/(1*sqrt(108) - (sqrt(12) - (-2*sqrt(300) - sqrt(12)))).\nAnswer: 7*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -9, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 16.1, 129\/11 in increasing order.\nAnswer: 0, 129\/11, 16.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -1\/4274?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.20446 millilitres in litres?\nAnswer: 0.00220446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*b*b*b**(-5)*b)\/b)\/((b\/b**(-3\/7)*b)\/b))\/(((b*(b*b**(-2\/11)*b)\/b*b)\/b)\/(b\/(b**(3\/11)\/b))) assuming b is positive.\nAnswer: b**(-194\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*c = -107*c - c - 796. Let j(w) = -5 + 0*w**2 + w**2 + 2*w - w. Give j(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w\/(w**29*w*w)*w)\/w*w**(3\/11) assuming w is positive.\nAnswer: w**(-305\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 224731332.\nAnswer: 224731332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2142 = 404*b + 7328 + 5722 for b.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 3 (c) 1.919 (d) -2\/15 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 (base 8) in base 4?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/(-30)*9)\/(1*-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-5))\/(3\/135). Let k = -37\/2 - z. What is the smallest value in k, -3\/5, -2\/7?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 162945 (base 12) to base 13\nAnswer: 103100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**4\/11 - 23380*r**3\/11 + 68070098*r**2\/11 + 1509419136*r\/11 - 1577465856\/11 = 0.\nAnswer: -23, 1, 5856","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10332 - 10332. Let z(h) be the second derivative of 0*h**2 - 1\/25*h**6 + p*h**3 - 1\/5*h**4 + 0 - 15*h - 1\/70*h**7 + 21\/100*h**5. Factor z(m).\nAnswer: -3*m**2*(m - 1)**2*(m + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d\/(d\/d**5)))\/d**3)\/(d**1\/(d*d**(-3\/2)))*d*d*(d**(-2)\/d)\/d*d*d\/d**(-1\/7)*((d**1\/d)\/d)\/(d\/d**(-6)) assuming d is positive.\nAnswer: d**(-243\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12680 is divided by 4120?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -l**3 - 1. Suppose -25 = -4*g - g. Let a(n) = -g*n + 7*n + n. Calculate j(a(i)).\nAnswer: -27*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2 + 62 = 0. Let f = 26 + t. Let x = f - -4. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 4, -0.0421, -21156?\nAnswer: -0.0421","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -185644 (base 10) in base 7?\nAnswer: -1402144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2 + 4*m + 6. Let r(q) be the second derivative of -q**3\/6 + q + 13. Let b(k) = o(k) - 4*r(k). What is b(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 87 + -83. Let y(r) = -3*r + 11. Let u(m) = -m**2 - 5*m + 23. Let n(s) = -4*u(s) + 9*y(s). What are the prime factors of n(d)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*f**3*m**2*y - 869*f**3*y**2 - 4*f**2*m**2*y**2 - 2*f**2*m*y**2 - 6047*f*y wrt f?\nAnswer: 84*m**2*y - 5214*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**2 - 45*h**3 + 2*h**2 + 41*h**3 + 6*h**3 - h**3 - 2*h**3 + (-1 + 1 - 2)*(h**3 - 2*h**3 + 3*h**3).\nAnswer: -5*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -109*y + 10203. Let j be x(93). Suppose -5*t = 478 - 23. Let n = t + 135. What is the greatest common factor of j and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/296 and 9\/74.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 470765?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/3 - 23*f\/3 + 22\/3.\nAnswer: (f - 22)*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*r + 12 = 81*r. Suppose 0 = -d + 5 - r. Let l be (-15720)\/105 - d\/7. Round l to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 1989?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3017.39 - -17.\nAnswer: -3000.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d. Let j be b(0). Suppose 0 = 4*h + 3*l - 12 - 143, -2*l + 10 = j. What are the prime factors of h?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -126 times 728\nAnswer: -91728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 divided by -8?\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 75338, 151392, 227446, 303500, 379554?\n\"Answer: 76054*v - 716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -446242 by -1286.\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-2535)\/(-13))\/(-5)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3230245 (base 6) to base 9\nAnswer: 262722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 8:28 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-702 - 107)\/(1\/(-29))?\nAnswer: 29, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4923 - 10316 = -396*h - 5339 for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*f**2 - 7 + 4*f**3 + 11 - 6*f**2 - f**3 to p*f + y*f**3 + g + h*f**2 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14411 (base 5) to base 9.\nAnswer: -1617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0034406 rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 119713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 3*l - 4 + 3, -4*j = 3*l - 10. Let g = 52 + -49. Put -4, g, j, 7 in descending order.\nAnswer: 7, g, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 6*q + 9)*(-8*q + 3*q + 21*q).\nAnswer: -96*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52319 and 189727.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/1560 and 91\/12.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4165 smaller than 5\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -748078*p - 2448 = -748150*p for p.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 315 and -718.9.\nAnswer: -226453.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -2*l - 5. Solve h = l*h - 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30591?\nAnswer: 3, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.3 - 6.297545. What is v rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1456 and 2464?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 5*i**3 + 5*i**2 - 6*i. Let s(b) = -b**3 + b**2 - b. Let o be ((-120)\/54 + (-38)\/(-171))\/(-2). Calculate o*f(q) - 5*s(q).\nAnswer: 10*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57)\/(-9) + -1 + -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302109287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.01 from -788.\nAnswer: -788.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 9365211 and 9365209 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (66 - 49 - 10)*(-x**2 - x**3 + 0 + 4*x**3 + 2) to the form u*x**2 + w*x + q*x**3 + l and give q.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 2*p**2 + 9 + (-2*p - 2*p + p)*(2 + 3 - 1)*(p - 4*p + p) to q + k*p**2 + a*p and give k.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -211*x**4 - 187 + 67 + 3*x**3 + 199*x**4 wrt x.\nAnswer: -48*x**3 + 9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -100.38? (a) -0.3 (b) -27 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/(-18))\/(30\/120).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26.295 + 26. Let x = l + 0.629. What is x rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-9))\/((-1)\/3). Let m be -2*w\/(-28)*-12. Let u be (-5 - -5)*(-1)\/(-2). Which is smaller: m or u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l**3\/2 + 301045*l**2\/2 - 1806580*l + 3011050 = 0. Calculate l.\nAnswer: -60221, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -7*s**3 - 8*s**2 - 1. Let p(y) = -2*y**3 - y**2 - y. Let j(v) = 2*p(v) - t(v). Calculate j(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/1*(187 + 0) is divided by 125?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.4, 1\/3, -0.1, 5, -141 in descending order.\nAnswer: 5, 4, 1\/3, -0.1, -0.4, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 456.\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -55, -135, -239, -367, -519, -695, -895?\n\"Answer: -12*f**2 - 44*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -3*d - 9, 11 = -3*m - 4*d - 1. Suppose -5 = 3*n - 0*c + c, -4*n + 5*c + 25 = 0. Solve 2*k + u - 1 = 0, m = -k - n*k - 3*u + 8 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 24750 = -2*s. Let r = s + -172899\/7. Let u = r - 3931\/77. Which is greater: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 3:04 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of i**6\/30 - 2*i**5\/5 + 5*i**4\/6 - 3*i**2 + 11. Factor q(a).\nAnswer: 4*a*(a - 5)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-2)*32\/40*(-25)\/(-210)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 87 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -15, 5, -10, -3 in descending order.\nAnswer: 5, 2, -3, -10, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63 - 65) + -1 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 112 + 160. What are the prime factors of d?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009047916 to seven decimal places.\nAnswer: -0.0000905","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((2 + -1)\/4). Let l = 1 + i. Let n(g) = -3*g - 5. Let k(c) be the third derivative of 5*c**4\/12 + 8*c**3\/3 - c**2. Determine l*k(r) + 16*n(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 124 (base 5) to base 15\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 16374556, 16374531, 16374506, 16374481, 16374456?\n\"Answer: -25*g + 16374581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31312 (base 5) to base 4.\nAnswer: -200202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -703, -1405, -2103, -2797, -3487, -4173, -4855?\nAnswer: -5533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 71 + 28 + 44 = 0. Let j(p) = p**2 + 3*p + 2. Let n be j(4). Let q(f) = n*f - k*f - 17*f. Let r(c) = -5*c**2. What is r(q(y))?\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of y**4 + y**3 + 4*y + 18. Let n(i) be the first derivative of r(i). Find the second derivative of n(k) wrt k.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n = -75 + 470 - 200 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-2 - (-5 - -7)) - 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(96))\/(-1*(sqrt(12) - -1*sqrt(12))).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 9*l**2 + 28*l + 3. Is j(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + -4*sqrt(20)\/sqrt(4) + sqrt(5))*-4 + (sqrt(80) + 5 - (sqrt(5) - (sqrt(5) - (sqrt(5) + -5*sqrt(20)\/sqrt(4))))) + 1)**2.\nAnswer: 192*sqrt(5) + 1316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-1))\/(3*6\/(-12)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7292 or -7797?\nAnswer: -7292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1648\/15 - -561\/5. Let u(w) be the second derivative of -h*w**3 + 1\/6*w**4 + 0 + 0*w**2 - 3*w. What is the second derivative of u(g) wrt g?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -93.1+-355.14\nAnswer: -448.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -2\/13, -1, 0 in decreasing order.\nAnswer: 0, -2\/13, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of 11\/60*x**5 + 0*x + 1\/30*x**6 + 1\/6*x**3 + 21\/8*x**4 + 0 + 101*x**2. What is the second derivative of s(b) wrt b?\nAnswer: 24*b + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**3 - 65*w**2 - 145*w - 75 = 0. Calculate w.\nAnswer: -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*z + 16. Suppose 13*q + 1 = -12. Sort z, -2, q, -4 in descending order.\nAnswer: z, q, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6000111.\nAnswer: 3, 13, 51283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 81696.6ml?\nAnswer: 81.6966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 + 0.4. Let u = -12 + 10. Let y = 6.7292 + -0.7292. What is the closest to w in 0.5, y, u?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*f**4 - 30*f**2 - 34.\nAnswer: 12*f**3 - 60*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1250806, -357, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y = -9*y - 166. Suppose -2*x + 61 = -3*w - y, 3*x - 3*w - 216 = 0. Suppose -x = -c - 3*c. What is c rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*t = 21251, 55*t - 51*t = -3*a + 63748. What is the greatest common factor of a and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1902, 3 in increasing order.\nAnswer: -5, 3, 1902","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 6*t**2 - 4*t - 4. Let p be (-24)\/(-9) + (1\/3)\/1. Suppose 4 - 7 = -g. Let w(j) = -g - 2*j - 2*j**2 + 7*j**2 - j. Calculate p*m(h) - 4*w(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5538 and 364.\nAnswer: 77532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/10)\/((-4)\/(-5)))\/((-74)\/1036)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 4*j + 10. Suppose 5*f = 12 - 47. Let w be k(f). Let v = 86 + w. What are the prime factors of v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 603?\nAnswer: 4824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*d - 29*d - 10*d = -56*d - 6018 for d.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3 = 0, -4*d - 2*m + 61 = -m. Let x(t) = 12*t**2 + 3*t + 2. Let f be x(-2). Suppose -4*q + f = d. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 25*h + 55. Let y = 68 + -70. Let u be k(y). Solve -z + u*f = 19, 3*z - 7*z = 5*f - 24 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 u when four letters picked without replacement from {m: 12, u: 1}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 1. Let z be 460\/36 - r\/(-9). Find the second derivative of -30*j + 2*j**3 - 9*j**2 + z*j**2 - 4*j**2 wrt j.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17193 - 17079. What is the remainder when 2848 is divided by q?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.08 (b) 1 (c) -0.4 (d) -2.4 (e) -4048 (f) 2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23905675 is divided by 45448.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/7 (b) -2\/21 (c) -89887 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/3*(4 + -1). Calculate the greatest common factor of 14 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - c)*(c**3 - 5*c**3 - 3*c**3) + (-1 - 2*c + 1)*(2*c**3 + 2*c**3 - 5*c**3) to v*c**2 + y*c + x*c**3 + i*c**4 + t and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -13, -3, -2\/3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1962*x - 1921*x - 82 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 657 is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3395, -8282, -14723, -22718?\nAnswer: -32267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {k: 2, q: 6, h: 7}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 128 - 138. What is the closest to 0.1 in r, 1\/3, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1623?\nAnswer: 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/12)\/(4\/(-12)). Let f(b) = -b**3 + b**2. Let l(k) = -k**3 + 2*k. Suppose c = -0*c - 1. Calculate c*f(a) + t*l(a).\nAnswer: 2*a**3 - a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*i + 10*i = 10*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 600268?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 38*h**2 - 151*h - 8. What is t(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 g when four letters picked without replacement from {a: 1, r: 3, g: 4, n: 4, k: 2}?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4858?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, 120, 0, -2, -1.\nAnswer: -5\/2, -2, -1, 0, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -76*c + 4. Let m be a(-1). Calculate the greatest common divisor of 16 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200300011 (base 4) in base 13?\nAnswer: -490a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 4*q**2 - 2*q + 4. Let f be i(-3). What are the prime factors of 27\/6*2\/f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 48*l**5 - 5408*l**2 + 5408*l**2 + (-5*l**3 - l**3 + l**3)*(2*l**2 - 4*l**2 + l**2).\nAnswer: 53*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6599 + -2346. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -37 (b) -10 (c) -1 (d) 0 (e) -0.207\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 709 divide 5194803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 2 = -568*b + 567*b, 2*x + 16*b = -164 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((1 + sqrt(245) + -4 - sqrt(245))*4 - (4 + 3 + sqrt(245) + -1)) + -5)**2.\nAnswer: 322*sqrt(5) + 774","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.470648 to 1 dp.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -272.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -24034 (base 7) in base 9?\nAnswer: -8447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 327*y**5 + 5*y**4 - 2*y**3 - 3*y**2 + 63. Let k(i) = i**5 - i**4. Let a(n) = 5*k(n) + w(n). Find the third derivative of a(l) wrt l.\nAnswer: 19920*l**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2*2\/(-4))\/(13\/13). Let h(t) = -1. Let w(c) = -2*c - 2. Let o(a) = i*w(a) - 4*h(a). Give o(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from illiiiiiiillii. What is prob of picking 4 l?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62 - -70. Let w = 164 + -15. Suppose -n + w = -t. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/9 + (-14)\/(-18). What is the units digit of 3 + -4 + y*18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 2586079.\nAnswer: 7758237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = w + 3, 473*j - 472*j + 41 = -3*w for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 40. Let s = p + -65. Let z = -7 - s. Calculate the remainder when 56 is divided by z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5139, 5219, 5375, 5625, 5987?\n\"Answer: 3*g**3 + 20*g**2 - g + 5117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5775095*i**2*q - 5*i**2 - 12667*i - 2 with respect to q.\nAnswer: 5775095*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*m - 16*m**2 + 76*m - 23*m - 35*m**3 - 30*m.\nAnswer: -35*m**3 - 16*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21240*k**5 - 80*k**3 - 2317*k + 35.\nAnswer: -424800*k**3 - 480*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1201 + 1253. Suppose 0 = -l*x + 59*x - 21. Suppose 0 + 6\/13*i - 4\/13*i**2 - 2\/13*i**x = 0. Calculate i.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 509 a factor of 1036706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 l when four letters picked without replacement from {o: 11, i: 1, l: 5, a: 2, g: 1}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13744794?\nAnswer: 2, 3, 7, 46751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -94358 (base 13) to base 10.\nAnswer: -266417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 583 (c) 28\/5 (d) -5 (e) 2 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11*(-1 + 4 + -1). Suppose -2*a + 78 = i. Suppose 0 = a*k - 23*k + 30. Let o(s) = s - 1. Give o(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*r - r. Calculate the lowest common multiple of 3 and r - (-2 + (-2)\/2).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277*x + 6*k + 31 = 282*x, 1 = -k for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppkpkkp. What is prob of picking 1 k and 1 p?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51*s**2 + 10*s**4 - 4*s**4 + 77*s**2 wrt s?\nAnswer: 144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257044*n - 257041*n - 257044*n + 771117*n.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12303 (base 5) to base 12.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1191262 and 501584.\nAnswer: 9530096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/3))**(-1\/4)\/(y\/(y\/(y\/y**3))*y**(1\/6)) assuming y is positive.\nAnswer: y**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p + 52. Let g be q(-16). Suppose 0 = -w + 2*k + 5, 0 = -3*w + 4*k - g + 11. What is the fourth biggest value in w, -1\/7, -1\/15, -2\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-27)\/25 + 4 + -3. Let t = 608 + -607. Which is the closest to z? (a) -3\/4 (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - (444\/24)\/((-26)\/4). What is the second biggest value in d, -2\/9, 0.6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 1, -3*r - s = -r - 17. Suppose -23*w + 195 = -r*w. Let y = 3 - 3. Solve 0 = k + 3*c, y = 3*k - 5*c - 1 - w for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 6*l + 76. Let i be z(-12). Let w be (-2)\/(-2) - i*(-2 - -3). Let p(f) = -6*f - 2. Let y(o) = -7*o - 2. What is w*y(s) + 4*p(s)?\nAnswer: -3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 73964.83 kilometers in micrometers?\nAnswer: 73964830000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2711515 divided by -5?\nAnswer: -542303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n + 2. Let g(x) = x**2 + 6*x - 6. Let f be g(-7). Let l(q) = 1 - 1 + f + 0. Determine -j(v) + l(v).\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 47*f**2 + 48*f**2 + 5.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 5*z + 1, -5*z - 44 + 21 = -2*n. Solve 5*o - n*q + 9*q = -15, 2*q + 3 = -o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*w + 182*w - 3*z + 30 = 0, 0 = 4*w - z - 38 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two ninths of a day?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1951, -3878, -5803, -7726, -9647, -11566, -13483?\n\"Answer: j**2 - 1930*j - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -8. Let m = -163 - -169. What is the smallest common multiple of b and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1424127 is divided by 789?\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 99 - 91. What is the remainder when -9 + u + 100\/2 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/((-35)\/30) - (-12)\/3. Suppose c*i - 233 + 63 = 0. Calculate the remainder when i is divided by (-6)\/((2\/3)\/(-1)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*r - 2*r + 195 = 8*r for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 53216 divided by 26608\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.0202 - -13386\nAnswer: 13386.0202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -5 + 20. Suppose -o = s - 44. List the prime factors of o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*b - 7*b - 40 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -3*a + 46, -3*a + 60 = -o - 2*o. Suppose -3*v + 6 = -9. Suppose v*p - 26 = x, -4*p = -x - 14 - 7. Calculate the remainder when a is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2\/5 + 84*v\/5 - 588\/5.\nAnswer: -3*(v - 14)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-34)\/(-18))\/(2\/(-16)). Let d = -34032058\/63 + 540176. Let p = m - d. Is p greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13914, -27798, -41682, -55566, -69450?\nAnswer: -83334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37223798543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93762?\nAnswer: 2, 3, 5209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-15)\/1)\/((-55)\/8195). Suppose -5*s + 3*x + m = -0*x, 3*s - x = 1345. Is s a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -11. Let t be w\/8*6 + (-9)\/18. Factor -1\/4*a**2 - t - 2*a.\nAnswer: -(a + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 15 = -3*l + 6*p, -2*p = -2*l + 10. Suppose 2*g + l*c = -12, 3 = -g - 4*c - 9. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p - 7 = 14 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**2 + 4*t - 2. Let h be c(2). Suppose 3*s = 4*x + 21, -s + 3 = -x + 2*s. Let v = h - x. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**4 + 72*m**3\/5 - 28*m**2\/5 = 0?\nAnswer: 0, 2\/5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o**(16\/9)*o)\/o**(11\/2))**(-8\/15))**(-7\/9))**37 assuming o is positive.\nAnswer: o**(-32116\/1215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1400)*-1)\/((sqrt(8) - sqrt(8)*1 - sqrt(8)) + sqrt(10)\/(sqrt(5)*-2) + sqrt(2))*-6.\nAnswer: -120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85, -184, -293, -418, -565, -740, -949, -1198?\nAnswer: -1493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/1575?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110102011102 (base 3) to base 2.\nAnswer: -111011101001101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, z: 3, j: 1, i: 1}. What is prob of sequence bijb?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -57670*c - 288330. Give f(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 2*n + 5*i - 455, 3*n + 3*i + 249 = 0. Suppose -227*m - 333 = 2*b - 232*m, 5*b - 2*m + 801 = 0. Let v = n - b. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - 1 - (0 - -7). Let l(c) = 3*c**3 - 2*c**2 - c - 2. Let u be l(-1). Sort 2, u, h in ascending order.\nAnswer: u, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 0 + 2)*(-1 + c + 1) + c - c + 6*c + (7 - 3 - 1)*(7*c + 38*c - 4*c))*(5*c**3 - 3*c**3 + c**3) to k*c + s*c**3 + z + w*c**2 + f*c**4 and give f.\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 13 (b) 0 (c) 2\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8095757881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2)\/y)\/((y**(-2)\/y)\/y*y))\/(y**0)**(1\/35) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/12*(-1)\/3.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*p + 40 = -59*p - 4*t, -3*t = p + 18. Sort p, 5, 4 in decreasing order.\nAnswer: 5, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/25 - 3\/(-4 - -1)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 80.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-41)\/(-209) + 60\/(-570).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 26176?\nAnswer: 26176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 949659918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-50 - -59)\/(2\/14). Suppose -v*b = -58*b. Are b and 10\/103 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -40, 0, 0.4, -0.5, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -13650242 less than -13650240?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 4*i + i)*(i - i + i**4 + (-13*i**3 - 2*i**3 + 26*i**3)*(4*i + i - 3*i)).\nAnswer: 115*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 3 - y - 2*y)*((3*y**2 + 4*y**2 - 6*y**2)*(-1 - 1 + 3) + y**2 - 3*y**2 + 0*y**2 + y**2 + 2*y**2 - 5*y**2 + 110*y - 98*y - 5*y**2 - 10*y**2).\nAnswer: 108*y**3 - 126*y**2 + 36*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*x**2 - 7*x**2 - 14*x**2 + 0*x**4 + 16*x**2 + 2*x**4 - x**3 - 6*x + 1 to n*x**4 + i*x**3 + d + m*x**2 + v*x and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 0*j - 26 = 3*j, 5*c - 4*j = 33. Suppose -3*v - 19 - 8 = 0. Let z be ((-6)\/(-2) + -8)*v. Solve -x = -l + 1, -7*x + 2*x + z = c*l for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*m**2 - 4*m**3 - 2*m**3 - 3*m**4 - 7*m**2 as d + y*m**3 + c*m + o*m**2 + s*m**4 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1108 + -0.11082708. What is g rounded to 6 decimal places?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -119? (a) 2 (b) -1 (c) -2.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1974 - -2000 - (0 + -44 - 0)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7 - 0\/(6\/(-3)). Let d be -1*1*(-2 - i). Let h = d - -8. Solve 2 = -h*t + 2*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, n: 3, f: 3, k: 6}. Give prob of sequence kln.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 2*d = -15, 84*j - 85*j + 4*d - 9 = 0 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 564 and 28?\nAnswer: 3948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 6 = 0, o + 7 - 16 = -3*h. Suppose 3*p - 4*u = -2*p + 197, -8 = -h*u. Let v = p + -27. What is the remainder when 37 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**1)*c*c*c**(-1\/2)*c**9*(c*c\/(c*c*c**(-1\/10)\/c))\/c)\/((c\/(c\/(c*c**4)*c)*c**8)\/(c**2\/c)**(2\/45)) assuming c is positive.\nAnswer: c**(-16\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -28, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + 20. Let u = o + -42. What is the units digit of (-93)\/u + 1\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -525*p**4\/4 - 1551*p**3\/4 + 4797*p**2\/4 - 2841*p\/4 + 30 = 0.\nAnswer: -5, 8\/175, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7}. What is prob of sequence bb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1868879 by 11.\nAnswer: -1868879\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6383 + 9169 = 3*i + 3*c, -4*i + 20712 = -2*c. Does 35 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -2\/5 (c) 57 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.57 to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**4 + 3*d**3 + d**2 - 1 + 0*d**3 - 3*d**3 to the form c*d**3 + i*d + s + o*d**2 + f*d**4 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6135, -24342, -54697, -97200, -151851, -218650, -297597?\nAnswer: -388692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 900054558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = n - 26. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1097 + -1095.3. Which is the biggest value? (a) t (b) 0.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14128, -28240, -42352, -56464?\nAnswer: -70576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/10 - (-28)\/20. Let v = 1 - w. Suppose v = 4*t - 5*r - 66, 44 = 3*t + r - 15. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**5\/17 - 4232*s**4\/17 + 184190*s**3\/17 + 6290660*s**2\/17 - 13785888*s\/17 - 19888128\/17 = 0.\nAnswer: -2158, -24, -1, 3, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10001053 - 23?\nAnswer: -10001120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15725 - 110076\/7. Which is the biggest value? (a) -0.011 (b) g (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -182 - -287. Let t = p - 100.6. What is t rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -7. Suppose m*t - 23 = 4*y, -y = 3*t - 1 + 3. Suppose t = j - 0. Which is the smallest value? (a) 0.2 (b) 0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 593*v**2 + 1028*v**2 + 137*v**3 + 3*v - 283*v**3 + 140*v**3.\nAnswer: -6*v**3 + 1621*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - 19. Suppose y = 2*b + 1. Let x(v) = v**b + 5*v**2 - 3*v - 2*v**2 + 0*v**2 - 1. Let k(d) = d**2 - d - 1. Determine 2*k(n) - x(n).\nAnswer: -2*n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o + 20. Let n = -835 - -901. Calculate the lowest common multiple of n and d(0).\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 2*n + 16, 2*y - 3*n = -y + 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 17.7*-2.635\nAnswer: -46.6395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4294*t**2 - 2676*t wrt t?\nAnswer: -8588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -201*p + 9. Let f be y(-1). What is the greatest common divisor of f and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 357 (b) 11335 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.287 + 1.287. Let x = -79\/273 - -5\/13. What is the nearest to -1 in h, x, 3, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m - 234 + 54 + 56 + 56 + 64.\nAnswer: 4*m - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*u = 3*x - 266, 453 = 5*x + 3*u. Let m(q) = 11*q - 1. Let b be m(5). Calculate the greatest common divisor of b and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 9*m**4\/8 + 4*m**3 + 2*m**2 + 19*m. Let l(p) be the first derivative of x(p). Differentiate l(v) with respect to v.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/53)\/(n\/(n*n*n**(-15)\/n))*n**27*n**(5\/4)*n)**(-8) assuming n is positive.\nAnswer: n**(-6026\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -786 divided by 25.\nAnswer: -786\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.2 - -7.2. Are -2\/3 and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47661.01 millilitres in litres?\nAnswer: 47.66101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 213534553 + -213514744.39388. Let z = 19801 - c. Let q = z - -7.6. What is q rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-781)\/(-66)) + 10?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.23288 <= -14875?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1886 - 130.1114. Round o to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -120?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 29176\/20 - (36\/20 - 1) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15508*c - 15509*c - 112 = -35*d, 0 = 2*c + 19*d - 43 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7430*d + 7447*d = 17. Sort -55, 9, d, 2 in descending order.\nAnswer: 9, 2, d, -55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t - 4. Let i be f(2). Suppose -3*m + 15 = -i*m. Let d be 23\/m + 15\/(-25). Solve -4*c + d*n + 12 = 0, -c - c - 2*n = 14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38500719 is divided by 482.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -6. Let y = 5.972 - z. Round y to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 23.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence adha when four letters picked without replacement from {i: 1, j: 1, h: 4, a: 4, k: 2, d: 2}.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*w + 4*w - 1 - 6*w to n + k*w and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8062a (base 13) to base 10\nAnswer: 229538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32179.\nAnswer: 7, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269091095?\nAnswer: 5, 7, 13, 67, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 8*w**2 + 7)*(0*w**2 + 2*w**2 + 1 - 4*w**2) as o*w + j*w**3 + z + s*w**2 + m*w**4 and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51 - -88. What are the prime factors of b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(108)*4)\/(sqrt(42)\/sqrt(63)))\/(sqrt(324)*-3 + sqrt(9) + (sqrt(90)\/(sqrt(10) - (sqrt(490) + sqrt(10))) - sqrt(9))))**2.\nAnswer: 56448\/16129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 - 1)*((-35)\/15)\/7. Suppose 24 = -3*a - k*y + 133, -4*a = 5*y - 150. What is the remainder when a is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4*q - 35. Let m be d(12). Let h = m + -11. Solve -3*u = -5*c - 5, h*c + 4*u + u = -33 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 16 = -2*u. Solve -3*z + 4*p = 4, z - 4*p + 12 = -u*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 5*j - 13039, 3*k - 1015*j + 1014*j - 19591 = 0. Is 46 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30*i*k**2 + 4*i*k - 8*k**2 - 3*k + 3 wrt k?\nAnswer: 60*i - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126, 356, 716, 1200, 1802, 2516?\nAnswer: 3336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22 + 30?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**2))\/i**(1\/4))\/(i**0)**(2\/23) assuming i is positive.\nAnswer: i**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 - 5093791*h**2 + 6486714891184*h - 97299577268160.\nAnswer: (h - 2546888)**2*(h - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(sqrt(20)*5)*5.\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -946 divided by -2.\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -462 + 465. Put -1, -16, 4, -6, c in descending order.\nAnswer: 4, c, -1, -6, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - j**2 + j. Suppose 12*l = 21*l - 54. Let d(r) = 8*r**3 - 7*r**2 + 8*r. Determine l*v(z) - d(z).\nAnswer: -2*z**3 + z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24766339 or -24766338?\nAnswer: -24766338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 - 2*v**2 + 6*v**2)*(-3*v - v + 3 + v) + 0*v + 0*v + 2*v**3.\nAnswer: -4*v**3 + 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -362 = -21*g - 5 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - l - 2*m - 13, -4 = -4*m. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108698470?\nAnswer: 2, 5, 79, 137593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 60 = -r - 75, 4*r + w - 45 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -4\/3*q**3 + 21*q + 0*q**2 + 0. Let s(m) = 30*m - 31*m + 1 - 1. Determine s(g(c)).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160)\/sqrt(8))\/sqrt(4) - sqrt(30)\/(sqrt(6)*-3)) + -5.\nAnswer: -5 + 4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus -0.05454?\nAnswer: 0.24546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 5*i - 20 - 84, 0 = -2*i. What are the prime factors of j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**14\/l**(-12\/11)*l**10\/l**(-5) assuming l is positive.\nAnswer: l**(331\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20200 - -221100?\nAnswer: 200200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*w - 2 = 0, 2*w = 2*p - 0*w - 2. Suppose -7*f = -p*f - 68. Suppose f*h = 21*h - 16. Solve 0 = 3*b, 11 - 3 = 2*s + h*b for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168.9332 nanometers in micrometers?\nAnswer: 0.1689332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -8153809 and 0.\nAnswer: -8153809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.1 (b) 3 (c) -4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 149211 or 149551?\nAnswer: 149551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -9.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1*sqrt(1008) + sqrt(1008)) - sqrt(1008))\/(-4*sqrt(144)).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**4*n + 5370*k**2*n**3 - 2*k**2*n + 705*k*n + 4*n**3 wrt k?\nAnswer: 12*k**2*n + 10740*n**3 - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = 3*i - 25. Let j(z) = -2*z**2 + 5. Let a(y) = -2*y**2 - y + 6. Let l(f) = i*j(f) + 4*a(f). What is l(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20658 (base 10) to base 6.\nAnswer: 235350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -105, 6438, 12981, 19524, 26067, 32610?\n\"Answer: 6543*i - 6648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -17. Let x(j) = -j**3 + j**2 - 1. Let f(i) = -2*i**3 - 15*i**2 - 6*i + 19. Let p(l) = -f(l) + 3*x(l). Is p(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/20160 and 101\/490?\nAnswer: 141120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q - 20380504 - 3966892 + 6946796 = 0. What is q rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, 39, 4, 16 in increasing order.\nAnswer: 4, 16, 36, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2114 is divided by 212.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*v = -39*v - 140. Suppose i + 0 = 2*k - 41, -4*i = 5*k - v. Calculate the smallest common multiple of 22\/1 + -1 + -1 and k.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -3*k + 4, 5*p + 5*k - 1 - 9 = 0. Let b be ((-264)\/30 - -6)\/(p\/5). Find the third derivative of -8*m**2 - b*m**2 - 109*m**3 + 132*m**3 wrt m.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2717 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 0 + -6 + 3. Let f = d + 7. Suppose -4*v + 3 = -f. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -147, -248, -383, -564?\nAnswer: -803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -275*c - 2917. Let p be v(-11). What is the greatest common divisor of 7938 and p?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1350735 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + x**2 - x + 2. Let w be p(-2). Suppose 0*f - 4*f = w. Sort 4, 5, f in descending order.\nAnswer: 5, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4*k**2 + 1 - 3*k + 0*k**2 + 18*k**3 - 19*k**3. Let y be o(3). Let z = 2 + y. Put 1, 0, z in increasing order.\nAnswer: 0, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 338343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6366527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 3*w**2 - 2*w + 3. Let d be m(2). Suppose 0 = 3*b + d*b - 4206. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0762 - -0.0338. Which is the third smallest value? (a) -3\/5 (b) 1\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-20) + 6\/5 - 33. Does 4 divide (-34)\/(-8) + 8\/d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0 - 11 + 5*t**3.\nAnswer: 5*t**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 406799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 8*s**2 - 19*s + 6. List the prime factors of u(-9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17143 + 17146. Solve -5*q + 20 = -g*d, 12*d - 20 = 16*d for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 330779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 0*a - 1\/2*a**2 - 2. Let p(m) = 7*m**2 + 11*m. Let q(y) = y**2 + y. Let x(b) = -2*p(b) + 22*q(b). Give x(u(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -20127358.12 to the nearest one thousand.\nAnswer: -20127000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 67 + 10. Is o at most as big as 77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 1502*u - 6. Let c be i(-6). Let w be c\/(-30) + 6\/15. Let r be ((w\/2)\/7)\/(4\/8). What is the highest common divisor of r and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38.9 + 84.1. Let v = j - 45. Which is the nearest to 2? (a) v (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 40 + -20?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - -1)\/((-6)\/4). Let n = b + 6. Suppose -62 = -n*k + 2*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -47*j + 5107. What is the remainder when f(-20) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 131701*t - 131703*t + 19 - 2*t**3 + 7*t**3 to the form w*t**2 + c*t**3 + p*t + q and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 304920 divided by 1540\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of 5*o**3\/6 + 3*o**2\/2 + 3*o. Calculate the remainder when 50 - -1 - (2 + -3) is divided by y(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, e: 6, a: 4, o: 2}. What is prob of sequence alo?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -6*f + 2. Let n(k) = -2*k - 15. Let p(r) = r + 6. Let j(t) = 2*n(t) + 5*p(t). Give d(m) + 10*j(m).\nAnswer: 4*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2521628 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5430)\/(-8) - (-2)\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/14*(-23814)\/504.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/6 and 11\/450.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1065650, -1065645, -1065628, -1065593, -1065534, -1065445, -1065320?\n\"Answer: n**3 - 2*n - 1065649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(121\/(-246) + (-3)\/(-6)). Let l = i + 1289. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 2*o = -25, -10*s - 10 = -12*s + 3*o for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 l when two letters picked without replacement from uvuvuhhuepvl?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of 0*u + 0 - 7\/12*u**4 + 13\/6*u**3 - 3*u**2 - 1\/60*u**5. What is the tens digit of v(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 131131245 by -3.\nAnswer: -43710415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 10) to base 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 16*j - 162. Let h = 34 - j. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - (-3 - ((7 - 4) + -2)). Solve 5*b = p*x + 3*b + 12, 3*x = -5*b - 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 132171*l**2 - 60578*l - 1 wrt l?\nAnswer: 264342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277*k + 4223 = -16829 for k.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/(-8)*1\/(-7). Which is greater: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-1*1*sqrt(125) + sqrt(125) + (sqrt(125) + 0 + sqrt(125))*5)*-5 + -4)**2.\nAnswer: 3500*sqrt(5) + 312549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 773672065 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 10:14 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/12 - 0)\/((-1)\/(-819)). Let d = s + 707. What are the prime factors of d?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -5 - 7 - (5 + -7 + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -14*p**2. Let j(r) = -26*r - 11. Let v(z) = 9*z + 4. Let x(m) = -4*j(m) - 11*v(m). Determine l(x(w)).\nAnswer: -350*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-65)\/(-13)*2\/10. Is d < 2\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27)*2)\/sqrt(3))\/((1*sqrt(9))\/sqrt(3)).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 663396867?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 7*q - 4*q. Let c be 2 - q\/3 - -19. What is the greatest common divisor of 4 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40588558903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/15)\/(126\/(-1050))*(-1)\/(-4).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2801869 kilometers to centimeters.\nAnswer: 28018.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -s**5\/20 + 5*s**4\/12 + s**3 - 4*s**2 - 21*s. What is f(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(189) + (sqrt(21) - (sqrt(252)\/sqrt(192) + sqrt(21))))\/(1*-1*sqrt(700)*3).\nAnswer: -59*sqrt(3)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 3*p - 24. Let y be w(7). Suppose 0 = y*j - 152 - 68. Let b = -17 + j. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 5 = -u, -5*u - 25 + 0 = -5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 40 = 3*a, -19 = -5*r + 6. What is the remainder when a\/(-7 - (-173)\/25) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 212*k - 212*k + 1743*k**2.\nAnswer: 1743*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 435 = 4*q + 415, -28 = -2*l - 5*q. Solve 4*s + l*w + 24 = 0, 48 = -4*s - 5*w + 23 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(1134) + sqrt(1134)*2*-1 + -5*-1*sqrt(1134))\/(-4*-3*(sqrt(40)\/sqrt(5) + sqrt(8))).\nAnswer: 3*sqrt(7)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -13855005.4 to the nearest 1000.\nAnswer: -13855000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8494421\/7 or 1213489?\nAnswer: 1213489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -17*f - 8. Is h(-4) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 + -30. Suppose 0 = -p*n - 2*n + 21999985. Suppose -2910959 = -4*l - 2*q + 609043, -3*q - n = -5*l. Round l to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 6*x. Let r(v) = 39*v. Determine o(r(g)).\nAnswer: 234*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 2 = 0, -35*j - 5*s - 173 = -5*s - 2*s for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0625 - 2.9375. Which is the third smallest value? (a) -0.5 (b) 0.34 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 49 - 9. Let o be (5\/k)\/(2\/4). Put 4, -0.2, o in decreasing order.\nAnswer: 4, o, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (25 - (48 + -10)) + 20 - 36\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 4.389241 centuries?\nAnswer: 438.9241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**12\/m*m**(-9))\/(m*m**(-4))**(2\/9))**(-3\/20) assuming m is positive.\nAnswer: m**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*m - 4*m - 24*m + (3 - 8 + 2)*(0 + 0 + m))*(28*m - 2*m - m - 2*m).\nAnswer: -989*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32213 - -101202110?\nAnswer: 101300323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 4*w - 18375 = 3*x, 2*w = x + 6135. What is x rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/((-3)\/(-3))*1. Let q(i) = i**3 + 5*i**2 + 4*i - 4. Let s be q(v). Which is smaller: s or -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + i - 10. Suppose -2980 = -i*d - 0*d. Suppose -149 = -5*r + d. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m. Let j(g) be the second derivative of 0 + 5*g + 0*g**2 + 0*g**3 - 1\/6*g**4. Calculate l(j(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -21*c - 207. What is s(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*r - 5*u + 3*u, 0 = 3*u - 12. Suppose 30 = -i + r*i. Calculate the remainder when 27 is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8078?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(187)\/(-2*sqrt(1584) - sqrt(1584)))**2*5.\nAnswer: 2677\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13305679 divided by 19?\nAnswer: -13305679\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 316 a factor of 397038634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 179 + 170 = -3*s, -4*b - 3 = -s for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 5:32 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4203 + -7295. Let r = -55763\/18 - n. What is the common denominator of r and -1 - 2\/(48\/82)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 105.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1742766828 divided by 4?\nAnswer: 435691707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**3 - 8*p**2 - 210*p + 216 = 0.\nAnswer: -9, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1070753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -376*z + 549*z = 3114 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83544486, 83544481, 83544476?\nAnswer: 83544471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 5*j - 35, 17 = o + 4*o - 4*j. Solve -o = w - 7 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*y = -75*y + f + 45519, 2*y + 5*f = 15189. What is the remainder when y is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10618?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w. Let x(v) = -2*v**2 + 16*v. Determine u(x(z)).\nAnswer: 4*z**2 - 32*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 660760001 to the power of 1\/3, to the nearest integer?\nAnswer: 871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*5*2*7\/28. Suppose 0 = -w - 3*o + 2*o + 8, 4*o = -j*w + 35. What is the least common multiple of w and 13?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 14 + 4 + 2 - -2 - (-3 - 31).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/6, 4\/11, 401?\nAnswer: 401","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231 is divided by 33?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 9, k: 3}. What is prob of picking 3 k?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooohhhhoohtthho. What is prob of picking 1 h and 2 o?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1160076708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -14\/43 (c) -7 (d) -0.2 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -52*f**3 - 2*f**2 - 2*f - 1. Let v(t) = -t - 2. Let q be v(-2). Suppose q*n = -3*n - 3. Is g(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qwq when three letters picked without replacement from {n: 2, w: 2, q: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -21\/2 (c) 104 (d) 0.2 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -1\/20*c**5 + 1\/2*c**3 - 1\/4*c**4 - 2*c + 1\/2*c**2 + 0. Is m(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/1505 and -57\/55?\nAnswer: 16555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 19, 13\/6, 5?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k + 12. Let h be a(8). Let u be (-6224)\/1010 - h\/(-30). Let m = u - 24\/101. What is the common denominator of m and 38\/7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -812616107, -812616108, -812616109?\n\"Answer: -t - 812616106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5*(2 - (-8)\/(-5)). Let g = 6 + -8. What are the prime factors of 2\/g*(-7 - i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.03, -8, 2\/11, 1 in decreasing order.\nAnswer: 1, 2\/11, -0.03, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence td when two letters picked without replacement from tttddtttt.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d + s - 776 = 2*s, -16*s - 19*s = 2*d - 10*s + 56 for d.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 p when three letters picked without replacement from dppppppppppp?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 3*u + 19, -u = -v + 5 + 4 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**3 + 8*d**3 + d**3 - 18*d**3.\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i*i\/(i\/i**(1\/8)))\/i*i*i)\/((((i\/i**21)\/i)\/i)\/i*i)*i**(2\/11)*i**(-4))**(2\/9) assuming i is positive.\nAnswer: i**(625\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 1:35 AM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 - 6 - (-140831)\/157. Let q = x + -898. Which is greater: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 13*v - 144. Let b(s) = 6*s - 64. Let o(q) = -9*b(q) + 4*c(q). Let u(p) = 1032*p**2 - 4. What is u(o(l))?\nAnswer: 4128*l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five quarters of a week?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2001 - 120103222?\nAnswer: -120111223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + -1*sqrt(104)*6 + (sqrt(104)*2 + sqrt(104))*6)\/(5*2*(sqrt(8) - (sqrt(8)*-2 - sqrt(8)))).\nAnswer: 13*sqrt(13)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -s**6\/165 + s**5\/55 - s**4\/66 - 13*s - 27. Let b(n) be the first derivative of u(n). Determine c, given that b(c) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + c = -g + 12, -2*c + 4 = 0. Suppose q + 4*w = -9 - g, -w = 4*q + 8. Let l be (-1 + 0 - -6)\/q. What is the closest to -0.1 in 4, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0942 minus -144?\nAnswer: 144.0942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-8743 - 520)*(-10 + (1 - 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 238.366 - 0.366. Let l = -240 + q. Suppose -5*f = -2*f. What is the closest to -0.03 in l, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*t**2 - 2*t)*(-4*t - t - 12*t).\nAnswer: 34*t**3 + 34*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -4*g**3 - 17*g**2 + 9*g + 69. Calculate k(-7).\nAnswer: 545","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 5:22 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.6 + -15.6. Which is the third biggest value? (a) x (b) -4 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8187 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -144041688 by 144041688.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 347 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -166232b - -2?\nAnswer: -1662329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 460 is divided by 199?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -7*y - 2. Let r be s(-2). Let j = r - 1. Let o = -6 + j. Calculate the remainder when o is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1607?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -25*(-3)\/((-15)\/(-2)). Suppose c*x - 5*x = 0. Suppose 3*z + 15 = x, -4*f - 4*z - 22 + 2 = 0. Is -1\/4 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 351780 is divided by 1170?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*i**4 + 3\/5*i**2 + 3\/5*i**3 + 1\/5*i + 0.\nAnswer: i*(i + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -588322 and -94?\nAnswer: 55302268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(-2\/13))*x*(x*x**4)\/x)\/(x**(-6\/5)\/x**4)*(x*x**(3\/7)*x**4)\/(((x**(-1)\/x)\/x)\/x)**1 assuming x is positive.\nAnswer: x**(9001\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.317 + 0.017. Let c be 3\/((-30)\/(-22)) - 2. What is the nearest to -0.2 in -2\/7, c, t?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17959 times 0.1\nAnswer: -1795.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -2. Let p be 7 + 3\/((-12)\/(-8)) + -6. Which is the second smallest value? (a) p (b) -23 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 150, 3.\nAnswer: 0, 2, 3, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -246364?\nAnswer: -246365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/25 of a kilometer in meters?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -79 (b) -3 (c) 0 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 + (-7)\/((-28)\/8). Let i = 9 - a. Suppose -3*b + 78 = w, 0 = i*b + 5*w - 50 + 11. Calculate the remainder when 80 is divided by b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 507\/8 - 2649\/40. Find the common denominator of (-3 - 249\/(-36)) + -3 and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5248 and 41.\nAnswer: 5248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26959051*g**2 - 26959051*g**2 + 75*g**3.\nAnswer: 75*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -170, 1\/11, -0.3, 9, 0.2, -4 in decreasing order.\nAnswer: 9, 0.2, 1\/11, -0.3, -4, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 5*p - 2. Let k be t(-6). Calculate the highest common divisor of k and 40.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -n**4\/4 + 14*n**2. Let z(o) = 6*o**2. Give r(z(j)).\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 2)*(-2*f**2 + 4*f**2 - 3*f**2) - 5*f**2 + 2*f**2 + f**2 - 11 + 3*f - 32049*f**2 + 29 - 3*f - 18 in the form t*f + g*f**2 + z and give g.\nAnswer: -32052","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 - 2)*(-s + 136*s - 16*s) - 3 + 3*s + 3 in the form h*s + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1060*g = -1042*g + 90 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 11346.\nAnswer: 79422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -286*q + 284*q = -420. What is the tens digit of (24\/(-20))\/((-4)\/q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 + 35*c - 18. Let d be v(-17). Does 8 divide (-6)\/14 - 11460\/d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 643200\nAnswer: 2572800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/8 of a milligram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a. Let v(i) = -4*i**2 + 85. Calculate v(j(q)).\nAnswer: -16*q**2 + 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -10*a**2. Let n(g) = 68*g - 1. Calculate n(h(t)).\nAnswer: -680*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -607705 (base 11) to base 8.\nAnswer: -3563133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 88\/5*n**2 + 14\/5*n**3 - 108\/5 - 354\/5*n.\nAnswer: 2*(n - 3)*(n + 9)*(7*n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/(1 + -4))\/1. Suppose -14 = -q*o + 2*o. Calculate the remainder when 9 is divided by (1 - 0)\/(o\/(-28)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - (9 - (3 + -4)). Let x(h) = -h**2 - 12*h - 14. What is the units digit of x(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**3 - 7*s**3 + 8*s**3.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6*(-5)\/(45\/(-6)). Let c = 9 + v. Suppose -30 = -c*n + 5*o, 2*n - o = 7 + 2. Solve -a + n = -3*i - 4*a, -5*a = -20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 195\/45 + 539\/(-132)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51968*i - 16 + 0 + 16.\nAnswer: -51968*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3077 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-29 - 3)*3\/(-12). Suppose r*w + 137427 = 27*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 6*l + 2. Let i(o) = -1. Let h(b) = 3*i(b) + u(b). Suppose 4*f + 0*f = 12. Suppose -5*r + 19 = -f*k, -k - 3*r + r + 12 = 0. Give h(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m - 32. Let q be c(10). Is 20 a factor of 3*((-8351)\/(-21) + q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 161 + -165. Put -2, -6, 3, l in ascending order.\nAnswer: -6, l, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or 353\/56604?\nAnswer: 353\/56604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*s = -9, 32*i - s = 31*i + 1. Calculate the greatest common divisor of 384 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from ttetzeteteztt?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-137)\/(138370\/(-3333))*(-2)\/(-11)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 127221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -1. Let n(t) = 24 - 4*t - 47 + 9 + 11. Calculate 3*d(h) - n(h).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 524460*j**4 - 19371*j**2 + 7?\nAnswer: 12587040*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c - 71 = 3*j + 50 + 46, -2*c + 157 = -3*j for j.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 5*n**3 - 533560*n**2 - 2134300*n - 2134320 = 0.\nAnswer: -2, 106716","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 q when two letters picked without replacement from qbxbqxqbxbqxbx.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (5 + 0 + -36)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 142283 * -0.4\nAnswer: -56913.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 295*w = 248*w + 189786. Is 36 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2938 and 1040.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 44\/5 of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -39b70 - -4?\nAnswer: -39b69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/4 + (-1)\/4. Suppose -5*m + g*m = -20, 3*y - 3*m = -3. Solve -2*f - y*v + 7 + 2 = 0, 4*f - 3*v + 27 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -203 + 206. Which is smaller: x or -84?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 2 - 4. Let y be ((-17)\/(-5) + x)*5. Suppose -3*u + 4*h - 11 + 249 = 0, y*h = -4*u + 288. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 4 - (1 - 13). Let t be (-2)\/7 + 4\/r. Let l = t - -1. Let z(n) = 3*n**2 - 2*n + 1. Calculate z(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0*f + 20 = 5*v, 4*v + 2 = f. Suppose f*z = 5*z + 335. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3*v - 92 = -2*v, 2*n + 3*v - 54 = 0. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 132 or 134?\nAnswer: 132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328404?\nAnswer: 2, 3, 27367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (4 + -4 + 13)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 5. Suppose -4*z + 2*u + 86 - 6 = r, -5*z - 3*u + 122 = 0. Calculate the remainder when 64 is divided by z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 6:51 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 23 and -90928267010.\nAnswer: -90928266987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*s - 4. Let p = -546 + 510. Let j be -1 + 2 - s - p\/(-9). Is 32\/7 at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53129*j**2*x**3 - j**2*x - 147*j**2 - 27*x**2 wrt x.\nAnswer: -318774*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0142301 to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 380 divided by 6.\nAnswer: 190\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.629 and 0.1348716.\nAnswer: 1.7638716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23999 - 24001. Let z = 5 - 2. Let i = z + -2.6. What is the nearest to -0.4 in 0.1, x, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2566 and 1.\nAnswer: 2566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11080 minus -0.29297?\nAnswer: 11080.29297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -p**4\/4 - 4*p**3\/3 + 5*p**2\/2 + 6*p - 4. Let r be l(-5). Let n(w) = 10*w - 7 - 12*w + r. Calculate n(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29.5 - 29. Which is the closest to 0.3? (a) 3 (b) x (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 14 + 5)*(p**3 - p**3 - p**5).\nAnswer: 4*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23526 is divided by 1466.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x - 30. Let f be w(8). Let i(c) = c - 6. Let p be i(f). Find the common denominator of p + 4\/((-72)\/203) and -17\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12429.79 micrograms to nanograms.\nAnswer: 12429790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -66. Suppose 7*t - 3*c - 87 = 12*t, -2*c = -t - 7. Let x = t + u. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 490186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 2\/5 (b) -2\/5 (c) -41 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-104)\/(-110) + (-4)\/10. Let v be (-35)\/(-30)*90\/210. What is the biggest value in v, 1, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84825.55km to meters.\nAnswer: 84825550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -218 - -273. What is the greatest common divisor of 99 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*r + 23943, -23*r = -2*k - 19*r + 23950. List the prime factors of k.\nAnswer: 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 5:57 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 6*c**2 - 54*c + 232. Give a(4).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 275 = 101. Let j = -852 - -874. Suppose 4*q - 43 = -h + j, x = 5*q - 3*h. What is the greatest common divisor of 17 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 - 56. Let u be -3 - a - (0 - -2). What is the greatest common factor of u and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14 - (-1)\/1)\/(-1). Let d = y + -3. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101224 (base 6) to base 9.\nAnswer: -12067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7424 + -7420. Which is the nearest to 1\/2? (a) -37 (b) 30 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 1555*f + 79016. Give a(-51).\nAnswer: -289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**3 - 31*j**2 - 13*j + 35. Let d be v(-15). Suppose 3*s + h - 15 = 0, -3*s + d*h + 15 = 3*h. Solve -2*o - 15 = -s for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -53769*28\/294*35. What is v rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -383, 0.4?\nAnswer: -383","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 25 - 18 - (10 - -1). Sort 5, 8034, s in increasing order.\nAnswer: s, 5, 8034","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -202997 * 5.\nAnswer: -1014985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/(7 - 14)*4. Suppose 0 = -2*m + 3*t + 3794, 9*t = s*t. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqryhrhrhhhraayqhrrh. What is prob of picking 1 a and 1 r?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4\/3 + 1501*z**3\/3 - 3005*z**2\/3 + 501*z.\nAnswer: z*(z - 1)**2*(z + 1503)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*t**2 + 213*t - 11*t**3 + 74*t**3 + 58 - 3*t**4 + 14 + 244*t**2 + 0*t**4 = 0 for t.\nAnswer: -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 8*f - 70. Suppose -3*y - 2*y = 2*v - f, 0 = -v - 5*y + 5. Suppose v*s - 85 = -0*s. What is the remainder when 32 is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of t**5\/20 + t**4\/3 - t**3\/2 - 2*t**2 + 4*t. Let k be j(-4). Let n = k + -6. Solve n*i + i = 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/50)\/(5\/(-25))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (13\/(-4))\/(17\/(-272)) - 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 divided by -21?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 34*x**3 - x**2 - 5*x. Let q(r) = -2*r**3 - 3*r**3 + 0*r - 2*r**3 + r. Let o(d) = -2*i(d) - 11*q(d). Let n(w) = -w + 7. Let p be n(6). Calculate o(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(8\/(-2)) + 0 + -6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(6*(sqrt(304)*1 - sqrt(19)))**2.\nAnswer: -6156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-131.\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bsbbysgybygsbbybysb. Give prob of picking 2 b and 2 y.\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/136945 or -1?\nAnswer: 4\/136945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 17756, 17706, 17662, 17624, 17592?\n\"Answer: 3*l**2 - 59*l + 17812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 3.6. Let x = 0.053 - 0.553. Which is the biggest value? (a) n (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 60 = -u. Suppose -3*f + 9 = a, -2*f + u = 3*f - 5*a. Does 2 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -t**5\/60 + t**4\/6 + t**3\/3 - 2*t**2. Let x be m(3). Put x, -4, 2 in descending order.\nAnswer: x, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.95265 or -0.336?\nAnswer: -0.336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 7*a - 8*a**2 - 16*a + 0*a**3 + 2. Let j be t(9). Let z(h) = 0*h**2 + 8*h**j - h - 7*h**2 + h**3 + 5. Determine z(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*u - 8 + 2 + 3*u - 5*u.\nAnswer: -10*u - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1338327357 a multiple of 3082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4642 divided by 3317?\nAnswer: -4642\/3317","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of 19 + 0*j**3 + 2*j + 59\/2*j**4 - 48*j**2. What is the second derivative of q(v) wrt v?\nAnswer: 708*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 2:33 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 5 = 2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-8)\/(-120)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 9333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -28 + 8 + 55 + 68\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z - 118. Calculate a(23).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 11976567\nAnswer: 11976567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.11 + -0.11. Let x be (-3)\/5*1\/(-3). Which is the nearest to -0.1? (a) 0 (b) j (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*sqrt(1377) + 4*(sqrt(17) + sqrt(170)\/(sqrt(40)\/sqrt(4))))**2.\nAnswer: 13328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30004619 to the power of 1\/2, to the nearest integer?\nAnswer: 5478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqnn when four letters picked without replacement from {q: 3, n: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w**2 + 3*w - 1. Let t be x(4). Suppose -5*r + 6*i - i = -t, 74 = 5*r - 4*i. Suppose -4*s = 2*n + r, n - 2*s = -4 + 13. Solve a - n = 2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*b + 4*k, 3*k = -2*k - 10. Suppose -6*o + b*o = -21. Suppose 71 = 4*j - i, 53 = -j + 4*j - i. What is the remainder when j is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z**3 + 118*z**3 - z + 42*z**3.\nAnswer: 151*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3363 and 3552449?\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43519*l**2 + 41632*l?\nAnswer: -87038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -11442, 7, 0, -6, -3 in increasing order.\nAnswer: -11442, -6, -3, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-18) + (-415)\/(-45). Solve 0 = 5*m + n - 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -538271.64 minus -0.4?\nAnswer: -538271.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -179009.\nAnswer: -35801.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/27? (a) 4 (b) -2\/13 (c) -0.1 (d) -56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.974 rounded to 1 dp?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 55.\nAnswer: -3, 0, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6c4 - 5?\nAnswer: 6be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -155233, -310494, -465759, -621034, -776325, -931638, -1086979?\nAnswer: -1242354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, p: 5}. What is prob of picking 3 q?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1691, -6312, -13911, -24488?\nAnswer: -38043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 125272914 and 339078.\nAnswer: 10938","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a - 2. Let b be x(-5). Suppose 4*t - 2*j + 4 = 0, -t - 191*j = -188*j - 20. Solve t*c + 1 - b = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2216 is divided by 1700.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (2 + 1008\/(-128))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 24*x**2 + 16*x + 170. Suppose 186 = -11*t + 65. What are the prime factors of a(t)?\nAnswer: 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 2*f + 1. Let d(y) = -3*y**2 - 7*y + 4. Let n(i) = 6*d(i) - 17*l(i). Let c be n(-8). Solve -3*j + 2*o = c - 1, o = 3*j + 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 5*z**2 + 4. Suppose -x = 5*j - 2*x - 6, 0 = j + 5*x - 22. Calculate the remainder when p(-5) is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10520020706 - 3.\nAnswer: 10520020703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 7*v**3 - 13*v**2 + 15*v + 9. Let r(m) = -4*m**3 + 7*m**2 - 8*m - 5. Let n(y) = 3*l(y) + 5*r(y). Is n(2) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.014 - 0.81. Let l = -0.20399822 + p. What is l rounded to 7 decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1777.\nAnswer: 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 554 + 64 = 6*u. Suppose 110*g - u*g = 18550000. What is g rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**3*k**2 - 88521*b**3*w**3 - 283*b**2*k**2*w**3 + 248*b*k**2 - 93*b*k*w**2 + 11*b + 3*k*w**2 wrt w.\nAnswer: -531126*b**3 - 1698*b**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + 6*p**2 + 6. Let z be x(-6). Suppose -z*m = -m - 10. Factor 0*j**2 - j**2 + 6 - 3 - m.\nAnswer: -(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -92 - -144. Let p = 73 - c. Calculate the smallest common multiple of p and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 7*k + 4. Let d be x(-7). Suppose -42 = -d*m - 14. What is the greatest common factor of m and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -409 + 0.03396?\nAnswer: -408.96604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 + 18. Calculate the common denominator of (-88)\/(-12)*(-2)\/32 and (-1605)\/p*9\/540.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -86*m**2 + m - 1. Let b(q) = -341*q**2 + 4*q - 6. Let k(w) = -2*b(w) + 9*t(w). Find the second derivative of k(n) wrt n.\nAnswer: -184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-665)\/(-399)*-1*(-3)\/(-30).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*((-4 + sqrt(275)*-5)**2 - (sqrt(1331) + sqrt(1331) + 3 + sqrt(1331) + 4 + sqrt(1331) + sqrt(1331))**2).\nAnswer: -26435 - 570*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 10*((-28)\/(-8) - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 6*d**2 + 5*d - 2. Let h be (-1 - -6)\/((-3)\/(-6)). Suppose 53 = h*i - 167. Calculate the least common multiple of i and v(-4).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 1 + 1)*(151*i - 1023 + 1023) - 2 + 2*i**2 + 2 + 2 - i**2 - 2 + (-4 + 4 + i)*(-2*i - i + 5*i).\nAnswer: 305*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3731 + -2586. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108, -88, -46, 24, 128, 272, 462?\nAnswer: 704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 56*f + 245. Let l(r) = 11*r**2. Give l(i(y)).\nAnswer: 34496*y**2 + 301840*y + 660275","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -64, -93, -122?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 171966*a - 343950. What is h(2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*g - 11*g - 36*g**2 - 6*g as p*g + s + m*g**2 and give m.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 7:53 PM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -100 + 123. Let t(g) = -33*g + 1. Let q(c) = c + 2. Let a be q(-4). Calculate the remainder when t(a) is divided by h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -372 + 1489\/4. Which is the third smallest value? (a) -7 (b) r (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -38933 and 232 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-2) - 2)*-2. Let y be 1\/(0 - -1) + -3. Which is the biggest value? (a) f (b) y (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/2520 and -109\/19460.\nAnswer: 350280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, 40 in decreasing order.\nAnswer: 40, 6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.6 - 0.4. Let c = -3494\/31 + 14007\/124. What is the smallest value in -2, 8, b, c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*h**4 + 0*h**2 - 1\/2 - h + h**3.\nAnswer: (h - 1)*(h + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 4:55 PM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/22 and ((-390)\/100)\/(18\/55)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*4\/(-24)*-102. Suppose -3*y + 3*x + g = y, 3*x - 6 = 0. What is the lowest common multiple of y and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -7*m + 16. Let a(o) = -6*o + 15. Determine 6*a(x) - 5*i(x).\nAnswer: -x + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6553 + -6550. Put 1, n, 5, 97 in decreasing order.\nAnswer: 97, 5, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15.274 - -15.374. What is the third smallest value in -0.03, f, 5, 6, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147357*t + 147355*t - 294711*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 58 and 18537170?\nAnswer: 537577930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvj when three letters picked without replacement from {m: 4, v: 2, j: 5}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(3\/8))\/(l\/(l\/l**(-2\/3)))*(l*l**6*l)\/(l**(-3)\/l*l)*(((l*l\/l**(-2))\/l)\/((l\/(l*l*l**(-1\/4)))\/l))**(-16) assuming l is positive.\nAnswer: l**(-1511\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**2\/3 + 87397*d\/3 + 611632 = 0.\nAnswer: -87376, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 4*t - 1. Determine l(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 4*c**4\/3 - 118*c**3\/3 - 9046*c**2\/3 + 13768*c\/3 - 1536 = 0?\nAnswer: -36, 1\/2, 1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/(-14) + (-4184)\/(-56) is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2\/7 - 4695*m\/7 + 9306.\nAnswer: 3*(m - 1551)*(m - 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 0.14 (c) -15516\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12712 and 1604890.\nAnswer: 3178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10356?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 16 (b) 1\/3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 35 = -50 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 419*l - 421*l. Suppose 5*k - 8*k = l*k. Solve k*r + 10 = -5*r - 5*p, 2*p = 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 148b247 (base 13) to base 16.\nAnswer: 642ca9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 468, 475, 516, 609, 772?\n\"Answer: 3*y**3 - y**2 - 11*y + 477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -3 (b) 0.5 (c) -23 (d) 1214\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -63705 and 12.\nAnswer: -764460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*z**2 - 6*z**2 + 3*z**2 + 1 to the form l + u*z + n*z**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 54, 82, 122?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (122\/(-3))\/(-6 + 86200\/14370)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2467374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133, 136, 139?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220100 - -10012100200?\nAnswer: 10020021000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/((c*c**(-1\/2))\/c))*(c*c**(-5\/4))\/c)\/((c*c**(-18)\/c)\/(c\/c**(2\/33))) assuming c is positive.\nAnswer: c**(2269\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7027210 divided by 3513605?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2174 less than -863.01?\nAnswer: 1310.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -359, -342, -313, -272?\nAnswer: -219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**2 - z**2 - 3*z**2)*(2*z**2 - 5*z**2 + 5*z**2) + z**4 + 0*z**4 + 6*z**4 + (-4*z + 4*z + 2*z)*(-2*z**2 + 2*z**3 + 2*z**2) - z**4 + z**4 + 2*z**4.\nAnswer: 15*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3311*f**5 - 17 - 40 + 6*f - 22 + 70 wrt f.\nAnswer: 66220*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -3, 9 in descending order.\nAnswer: 9, 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 5 + 20 = 0. Suppose 8 = i*j - 77. Calculate the remainder when j is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.8, -4, -39\/25 in descending order.\nAnswer: 5, -0.8, -39\/25, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-106)\/12 - (-7 - -4) and (-1)\/2 + (-35)\/(-77).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.32683 rounded to two decimal places?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -10. Suppose -3*m + g + 2 = 0, 4*m + 5*g - q*g = -9. What is the remainder when 3\/((2\/(-8))\/m) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127459151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of l**9\/756 - 2*l**7\/105 + 7*l**3\/3 - 2*l**2 + 80. Let s(k) be the third derivative of c(k). Factor s(n).\nAnswer: 4*n**3*(n - 2)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 3. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 - 23 - 23)*((6 - 4 - 1)*(0 - 4 + 6) - 6 + 3 + 2)*(4*k**3 - 4*k**3 + 2*k**3 + (5 - 3 + 0)*(k**3 + 4*k - 4*k)).\nAnswer: -32*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46253.\nAnswer: 23, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2542449.\nAnswer: 3, 7, 13, 67, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/9 - 1)\/((-6)\/18). Let s(t) = -2*t**3 + t**2 - 3*t - 3. Let g be s(-2). Let q = 4 + -4. Solve q*r - 2*m = n*r + g, -2*r = -m + 2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/4)*m**(-1\/4)*(m**(-5))**8)**4 assuming m is positive.\nAnswer: m**(-162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*t**4 + 4*t**4 + 3*t**4)*(t + 0*t - 3*t) + 7*t**5 - 51*t**5 + 4*t**5)*(7 - 1 - 1).\nAnswer: -220*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 273 divide 172415061?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-60)\/8*((-80)\/8 + -68). What is the highest common divisor of 45 and c?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -418.345 + 420. Let b = d - 0.225. Round b to 1 dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2823019 is divided by 722?\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -9985\nAnswer: 1\/9985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7662*d**3 + 3889*d wrt d.\nAnswer: 45972*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5189113 times 0.07\nAnswer: -363237.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1160 is divided by 135.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 + -82. Let x = -10 - t. What is the remainder when x is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 5. Let m be t\/(-8) + 105\/28. Suppose 0*s = -m*s - 12, -v + 10 = -s. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 5*y + 3 = 3*z, 0 = z + 4. What is the nearest to -1 in y, 0, -23?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - h + 1. Let r(l) = -6*l**2 + 4. Let w(k) = 3*o(k) - r(k). Let y(m) = 7*m**2 - 2*m. Let i(v) = 4*w(v) - 5*y(v). What is i(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22122 + -102?\nAnswer: 22020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 - -56. Solve 2*u - n = 3*u, -4*k - 10 = -2*u for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*(-5 - -4) + 5 + 554. Suppose 113 + m = 32*p. What is the least common multiple of p and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 h when three letters picked without replacement from {j: 6, n: 7, h: 3, x: 1, p: 2}?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus -29519866385?\nAnswer: 29519866385.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -4*o**5 - 92*o**4 - 244*o**3 - 68*o**2 + 248*o + 160 = 0?\nAnswer: -20, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2390*j**4*t**2 + 9782*j**3*t**2 - 231*j**2 - 2*j + 6507*t**2 wrt j?\nAnswer: -57360*j*t**2 + 58692*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -10*r**2 + 151*r + 6. Let y(l) = 21*l**2 - 306*l - 8. Let o(s) = 5*f(s) + 2*y(s). Give o(18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 7:06 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 k when four letters picked without replacement from {k: 2, z: 2, m: 1, p: 1, a: 2, y: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43 - -72. Let f = -19 + h. Solve 0 = -0*y + 2*y - 2*z - f, z + 20 = 4*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-16) - 9729\/(-184). Suppose 4*t = d + 31. Is 3 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 66*b + 202. Let p be n(69). Put 1, -122, -1, p in descending order.\nAnswer: 1, -1, p, -122","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**3 - 3*o**3 + 4*o**3 + (-3*o + 4*o - 3*o)*(5*o**2 - 3*o**2 - o**2) + 3*o**2 + o**2 - 2*o**3 - 3*o**2.\nAnswer: -7*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-7)*k**(-3\/2))\/((k*k**4)\/(k*k**(-6))))**(-10) assuming k is positive.\nAnswer: k**185","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - 1\/(2\/(-76)). Let p = -20 + b. What is the highest common factor of 8 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 20*s**2 - 3*s - 57. Let k be y(-20). Let v be (1 + (-2)\/6)*3. Factor -10*q**2 - 18*q + 21*q**2 + 2 - 32*q**k + 37*q**v.\nAnswer: -2*(q - 1)*(4*q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5831*m**3 + 5717*m**3 - 17261*m**3 + 5711*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4436.999999778 - 4437. Round s to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -190.1213 and -4.\nAnswer: 760.4852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 6 + 2)*(0*u - 3*u + 5*u) - u + u - 2*u)*(36 - 6*u - 36)*(5*u + 0*u + u) as j*u**2 + p*u**3 + k + l*u and give p.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 18*a. Let y = 21 - -10. Let i(z) = 46*z - y*z - 17*z. What is i(j(m))?\nAnswer: -36*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8497858 and 646.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x + 8. Let n be k(11). Let d be 0\/(-6 - (n - 0)). Suppose d*h + 3*h = 87. List the prime factors of h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -190*b**3 + 570*b**2 + 4. Give j(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3 = -3*x - 0, 5*x + 33 = 2*f. Suppose -5*o - f*d + d = -4, -3*d = o + 4. Let c be (o + -1)\/(4\/8). Solve c*h = 6*h - 12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t - 6*t + 8*t + 9*t + t.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) - (sqrt(18) + sqrt(36)\/sqrt(2)))*-4)\/(2*sqrt(27)\/sqrt(3))*-6.\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17956996 - -17956991.1000105. Let h = j + 4.9. What is h rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-6)*3 + 3. Let o(m) = -m**2 + 8*m + 13. Let c be o(9). Let a = 1568 - 1509. Solve -w*q = -3*i + 10, -3*q - a + 24 = c*i for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*n + 6 = -39*n + 86*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(3168\/540)*12\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -1\/2*v**3 - 1\/120*v**6 + 0 - 1\/24*v**4 + 0*v**5 + 0*v - 5*v**2. What is s(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2. Let w = 4 + 1. Suppose -5*u + 3*z = -16, 0 = w*u + z - 3*z - 19. Let q(v) = 0*v**2 + u*v**2 - 4*v**2. Give m(q(c)).\nAnswer: c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {y: 1, m: 1, i: 2, e: 7, o: 8}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 529.3043mg?\nAnswer: 0.0005293043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -472 = 58*q + 50 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 15798*q - 4344437. What is y(275)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-42))\/((512\/448)\/((-16)\/12)).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 7*q**2 - 15*q**2 + 18*q**2. Let g(t) = 5*t**2. Determine g(o(k)).\nAnswer: 500*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-6)*-1)\/(-10*(-3)\/4680)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 130, 499, 1144, 2083, 3334, 4915, 6844?\nAnswer: 9139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.98 - -0.02. Let f = 12 - k. Let r = f + -4.5. Which is the biggest value? (a) 2\/7 (b) r (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*j - 1\/2*j**2 + 1\/2*j**3.\nAnswer: j**2*(j - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15862129?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (14 - 28) + 24?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7075 is divided by 362?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 54, -776, -14, -1, -2.\nAnswer: -776, -14, -12, -2, -1, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 6*b**2 - 6*b - 5. Let a = -18 + 25. Give d(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 11823?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 666141 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-4\/21))**(-24) assuming f is positive.\nAnswer: f**(-200\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a**2 - 24 + 77 - 17 - 19*a - 17 - 22. Let h(u) = u**2 + 6*u + 1. Give -4*f(r) - 11*h(r).\nAnswer: r**2 + 10*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13331 - 13?\nAnswer: 13312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2707.6 and -0.5?\nAnswer: -1353.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33922 divided by 16961.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*w - 2*w. Find the first derivative of 21 - 9 - 10 - w + 9*x**4 wrt x.\nAnswer: 36*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y - 173. Let n(b) = 20*b. Give n(a(j)).\nAnswer: -40*j - 3460","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) 4 (c) 6\/11 (d) 0.86 (e) -2764\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -206636800 to the nearest 1000000.\nAnswer: -207000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -46*k**2 - 764*k**4 - 58*k**2 + 164*k**2 - 60*k**2 + 290 wrt k?\nAnswer: -3056*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, v: 1, l: 2, e: 1, u: 1, c: 2}. What is prob of sequence ke?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.6 - -0.4. Let m = 4 + u. Let x = -18 + m. Is 0.14 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 8:34 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11301213 (base 4) to base 5\nAnswer: 1224110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104699107, -209398215, -314097323, -418796431, -523495539?\nAnswer: -628194647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -1\/189*v**7 - 1\/45*v**6 + 4*v - 1\/30*v**5 + 0*v**2 + 0*v**3 + 0 - 1\/54*v**4. Factor i(p).\nAnswer: -2*p**2*(p + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, j: 5, p: 3, f: 6, e: 2}. What is prob of sequence ppq?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7052 + -7106. What is the nearest to 1 in -0.2, -0.4, k, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 12*t + 7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2166000 or 2165999?\nAnswer: 2166000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 - 175*c.\nAnswer: 5*c*(c - 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -263*u**2 - 265*u**2 - 239*u**2 + 1032*u**2 - 262*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*y - 4*l, -5*l = -2*y + 3*y - 5. Suppose 0*h + y*h - 4*h = 0. Is -2 + 332 + (h + 1)\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25336 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 6:27 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(68))**2 + 3.\nAnswer: 1091","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1502972.8 to the nearest one thousand.\nAnswer: -1503000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44064*t**5 + 3254760*t**4 + 3749024*t**3 + 304362*t**2 - 462488*t + 25350 = 0.\nAnswer: -13\/18, 1\/17, 1\/4, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38493, 76994, 115497, 153996, 192485, 230958, 269409, 307832?\nAnswer: 346221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6756803?\nAnswer: 17, 397459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**0)*s)**(-2\/101)*s\/((s*s**(3\/11))\/s)*s*s**10)**(-18) assuming s is positive.\nAnswer: s**(-234126\/1111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q**2 + q. Let c(g) = -473*g**3 - 8*g**2 - 31*g. Let w(p) = 6*b(p) - c(p). Find the third derivative of w(m) wrt m.\nAnswer: 2838","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = -v - 67. Let u = v - -382. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 + 18 - 29 - -19?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -329*a**3*c*m - 3*a**3*m - 31*a**2*c*m - 9*a**2*m + 7*a**2 + 2*a*c*m wrt a?\nAnswer: -1974*c*m - 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6*(-1)\/2 + -70. Let w = m - -37. What is the tens digit of (-1616)\/w - (-16)\/120?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001546495003 rounded to seven decimal places?\nAnswer: 0.0001546","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -412 + 1 = -v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 3*y - 114. Let z = 64 + y. Let w = 2913\/4 + -736. Calculate the common denominator of w and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -664.9 + 475. Let y = 216 + k. What is y rounded to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from 4441.\nAnswer: 4444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s + 0*s - 2*s)*(-s - 2*s**4 + s) - 4*s**5 + s**5 + s**5 + 15 - 39*s**5 - 15 - 2*s.\nAnswer: -43*s**5 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 3)*(4 + 1 - 3)*((r - 3 + 3)*(-68 + 38 - 24) + 2*r + 2 - 4*r + 0) in the form h*r + m and give h.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.8 + -2. Which is the nearest to -0.2? (a) q (b) -0.5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**2 + 3*u**2 + 33 - 34)*(-1 - 4 + 3).\nAnswer: -14*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of p**4\/14 - 4*p**3\/21 - 4*p**2\/7 + 16*p\/7 - 11. What is j in l(j) = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (2 + (60 - 71) + (-7 - -1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 6*b + 54000. Let o be 8*(-126)\/(-420) - -4. Factor 20250*k**4 + o + 2160*k**2 - b*k**3 - 192*k.\nAnswer: 2*(15*k - 2)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 801900 to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 288\/(-27) + (-2 - 8\/(-3))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(99) + (sqrt(99) - (-2 + sqrt(99) + sqrt(99)*-1)) + sqrt(99))*1 + 2*sqrt(99) + 1 + 3)**2 + -1)*-2.\nAnswer: -5014 - 360*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - l. Let y be p(-1). Let t(v) = -5*v + 1 + 6*v**2 - 3*v**y - 10*v**2 + 8*v**2. Calculate t(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 3*g - 1. Suppose -5*x - 12 = -3*x. Let y = 665 - 661. Let s = x + y. What is a(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/(-4))\/(135\/24274260) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 12:27 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 50999, 39482, 27965, 16448, 4931, -6586?\n\"Answer: -11517*p + 62516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(133) - ((sqrt(133) + 2*sqrt(133) - sqrt(133))*2 - sqrt(133)))\/((sqrt(280)\/sqrt(5))\/sqrt(8)).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-18) - (0 + 0)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, i: 2}. Give prob of picking 2 l.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/19 in 3\/2, 4, -5, -32\/7, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -148, -299, -468, -667, -908, -1203?\n\"Answer: -2*b**3 + 3*b**2 - 146*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/(-14)*634\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*c*d**3 - 3*c*d**2*y + 34*c*d**2 - 3*c*d*y - 15*d**3*y + 7*d**3 - 10*d**2*y + 15 wrt d.\nAnswer: 108*c - 90*y + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1465 and 40?\nAnswer: 11720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 10. Let d(m) = 4 - 4 + 9*m + m**s - 3*m + 8*m**2 - 6. Calculate d(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/45))**36*k**(-21)*k*k**4 assuming k is positive.\nAnswer: k**(-72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/3 + 1396088*o\/3 - 243632712968\/3.\nAnswer: -2*(o - 349022)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, h: 1, x: 2, u: 3, y: 1, c: 4}. What is prob of sequence cych?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 9 + 3 = 0. Let c be ((-9)\/(-7))\/((-3)\/(-7)). Solve -c*m + o = m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -0.3583\nAnswer: -0.3583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -8 + (6 - -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (62 - (-38688)\/(-620))\/((-1)\/(2\/(-4)))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 137 = -28. Solve 0 = 5*j - 2*t - k, 7*t + 25 = 12*t for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 17. Let x = 16 - 25. Let w = x - b. Put -5, 4, w in ascending order.\nAnswer: -5, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*m - 24*m - 30 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 587 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 26*t - 4. Let o(p) = p. What is m(o(f))?\nAnswer: 26*f - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/10)\/(1\/12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 10*o**2 - 3*o - 28. Let a be w(-10). Suppose a*f - 934010 = 3*f + 5*m, f + m + 934002 = 0. What is f rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 960 = -4*v, 48*v - 52*v - 4 = 0. Do 480 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.330060476 and 1.64?\nAnswer: 1.309939524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1)\/n*n**(1\/3))**(-13\/5)*(n*n\/(n*n**(-1\/2)*n)*n)**32\/(((n\/n**(-7)*n)\/n)\/n*n**(3\/4)) assuming n is positive.\nAnswer: n**(2519\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27559.39 millennia?\nAnswer: 27559390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -26889, -0.065, 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 78287.8mm in nanometers?\nAnswer: 78287800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 + -39. Let q(j) = j**3 + 4*j**2 - j. Let c be q(-4). Find the third derivative of 7*x**2 - 4*x**2 - c*x**4 + 0*x**z wrt x.\nAnswer: -96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -39*z**3 + 60*z**2 + 3*z - 60. Let s(a) = 11*a**3 - 17*a**2 - a + 17. Suppose 5*w = 10*w + 90. Let v(f) = w*s(f) - 5*u(f). Factor v(b).\nAnswer: -3*(b - 2)*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 217, 750, 1647, 2914, 4557?\n\"Answer: u**3 + 176*u**2 - 2*u + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.99 - 0.01. Let g = -0.8 - -0.5. Let h be (-192)\/56 - (-3)\/1. Sort h, g, o.\nAnswer: o, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 685*y + 28182 = 822*y - 368*y for y.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - -1*(3 - -2). Suppose 0 = j - o*t - t - 14, 5*t = j - 18. What is the least common multiple of j and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*a + 2*z, 2*a = -a - 3*z + 45. Let w(b) = -b**3 + 10*b**2 + 14*b - 19. What is the remainder when w(a) is divided by 5\/(-4)*-1*8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 + 24. Let s = 2 + b. Let r = 14 + s. Solve -2*j - 6 = -3*h - h, -4*j + r*h - 6 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1580*b - 551*b - 483*b - 549*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3617975*h*q**3*v + 6*h*q**2*v - 3*h*q*v - h*v - 34*h + q**2 - 6*q wrt q.\nAnswer: 21707850*h*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 6*w**2 + 6*w - 6. Let q be m(-3). Let c(g) = -5*g**3 - 14*g**2 + 8*g. Let b(n) = 5 - 5 + 3*n - 5*n**2 - 2*n**3. What is q*c(r) - 8*b(r)?\nAnswer: r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.08 (b) -0.1 (c) 5.7 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 892967 and 923.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2378981 divided by -19661\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1637234.1 months in centuries?\nAnswer: 1364.36175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -17*b**2 - 3*b - 11. Let r(h) be the third derivative of -11*h**5\/60 - h**4\/12 - 7*h**3\/6 + 2*h**2 + h + 352. What is -5*f(k) + 8*r(k)?\nAnswer: -3*k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 35 = -5*k. Let t be 2\/k + (-184)\/24. Find the common denominator of 119\/12 and 89\/16*(t + 6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5*k + 20. Let p(c) = c + 5. Let n(g) = 9*p(g) - 2*q(g). Let x(h) = 1. Determine -n(s) + 5*x(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (125\/(-30) - -5) + 91\/42. Solve -4*w + x = r*x + 16, w + 10 = -2*x for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 2566.62us?\nAnswer: 0.00000000424375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rqr when three letters picked without replacement from qrrrrqrrrrrrr.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 14457*o**3 - 395*o**2 + 395*o + 395. Let d(q) = 146*q**3 - 4*q**2 + 4*q + 4. Give 790*d(t) - 8*s(t).\nAnswer: -316*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 145, 1, 5 in descending order.\nAnswer: 145, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o**2 - 55485*o - 609730 = 0. What is o?\nAnswer: -11086, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of 1\/10*n**6 - 1\/14*n**7 + 3*n + 0*n**2 + 0 + 3\/20*n**5 + 0*n**3 - 1\/4*n**4. Factor y(j).\nAnswer: -3*j**2*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333 = 58*u - 1125 + 240 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -669 + 675. Calculate the highest common factor of c and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/(-585)*9*20.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001853664 rounded to 6 decimal places?\nAnswer: 0.001854","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -55644864*r + 7557937?\nAnswer: -55644864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*o + 1134*o - 2100 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((144\/(-18))\/(-160)*-10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 248767091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*f + 598 = 256*f + 2586 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 19703*v + 39442. What is q(-2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 11:13 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 16*a - 1218. What is q(-53)?\nAnswer: 743","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 17 (b) 1 (c) -1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3445\/5*(0 - 1). Let u = o + 1380. List the prime factors of u.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 97 - 98. Sort -1\/3, 0.03, 3\/8, q in descending order.\nAnswer: 3\/8, 0.03, -1\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) 3\/4 (c) 1\/8 (d) 0.06 (e) 1622\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 7. Let g be (p\/6)\/((-4)\/(-24)). Suppose 8 = -g*l + 5*l. Solve 3*i - h = -4*h + 15, 2*i - 10 = -l*h for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 523.7804ml to litres.\nAnswer: 0.5237804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4, 1, 12, 43, 100?\n\"Answer: p**3 + p**2 - 13*p + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-86)\/(-86) - 1\/(20\/112) - -7 - 4\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m + 3. Let d be c(0). Suppose q + 4*t = 126, d*t + 524 = 4*q - t. Suppose 3*k + 150 = 5*z, -5*z - 4*k + 3*k + q = 0. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -10, 9*n + 4*j = 8*n + 1249. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27400 and 310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2 (b) 14 (c) 0 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 + 6*k - 1. Give q(-11).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 590168745?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*f = 27*f - 78 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 6, 1.672, 4\/3 in ascending order.\nAnswer: 4\/3, 3\/2, 1.672, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 - 2*x**2 + x**2)*(-2*x**3 + 2*x**3 + x**3) + x**5 + 11*x**4 - 11*x**4 + 4*x**5 + x**2 - x**2.\nAnswer: 7*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 2*j - 3, 0 = 3*j - 3. Suppose -a = g + 1. Let f be (0\/(g\/(-1)))\/3. Is f greater than or equal to 2\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 - 1 = 4*f. Let z(x) = 5*x - 5. Let c = 7 + -2. Calculate the remainder when z(c) is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -52653\/4 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*h - 3*v, 5*h - 5*v = -0*h - 5. Which is the closest to 3? (a) h (b) -5 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10, -6, -4, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2000 and 940.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 228000 rounded to the nearest 10000?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus -79.999?\nAnswer: -79.499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -205.000000384 + 205. Round q to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - 2 - (0 + -43). Suppose -3*i - i = -h. Which is greater: i or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqcb when four letters picked without replacement from cwqqcb?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00095157103 to 6 decimal places.\nAnswer: -0.000952","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**4\/4 - 146109*p**3\/2 - 292209*p**2 - 292206*p.\nAnswer: -3*p*(p + 2)**2*(p + 97402)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + (-1 - -1 - 114\/27). What is the second biggest value in w, 4, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 423 + (-558 - -97) + (0 - 1) + 16.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46700 less than 140102\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6\/727 - -60215\/15267. What is the common denominator of -38\/9 and v?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 l when two letters picked without replacement from {p: 2, n: 1, u: 4, l: 4}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -11*y**2 + 3*y + 2. Let v(c) = -10*c**2 + 4*c + 3. Determine -4*s(h) + 3*v(h).\nAnswer: 14*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3168*h - 548 = -3031*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5*(6*(1 + sqrt(1584)) - sqrt(1584)*-1*-1)**2.\nAnswer: 3600*sqrt(11) + 198183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 92 = -32. Solve -5*h + 32 = -3*k, 5*k = h + k - z for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -13 - (-13 - -5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-42)\/b)\/(b**(3\/4)\/b))\/(b\/(b**(-7)*b))**13)**(1\/4) assuming b is positive.\nAnswer: b**(-535\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llb when three letters picked without replacement from lllbb.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -19. Suppose -2*y - 2*y + 4 = 0. What is the least common multiple of a and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 2040.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 315888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) -5\/6 (c) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -120032 - -402?\nAnswer: -114130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**5 + 1692*u**4 + 35380*u**3 + 26900*u**2 - 141456*u - 134672 = 0. Calculate u.\nAnswer: -19, -2, -1, 2, 443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 + 32449*d**2 + 5644134*d - 17224416.\nAnswer: -(d - 32622)*(d - 3)*(d + 176)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s - 1. Let m be z(-3). Let i be 2\/m + 10\/(-24). Which is the closest to -1\/5? (a) 5 (b) i (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50413896 and 252069480?\nAnswer: 252069480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**2\/7 - 12282*m + 85972\/7 = 0 for m.\nAnswer: 1, 42986","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 1. Let x(p) = -5*p**3 + 3*p**2 + 3*p + 8. Let m(r) = -4*r**3 + 3*r**2 + 2*r + 7. Let n(k) = 6*m(k) - 5*x(k). What is n(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2. Let p(y) = 12*y**2. Let f(o) = o**3 - 13*o**2 + 11*o + 13. Let z be f(12). Let x(w) = w**2. Let g(n) = z*p(n) - 18*x(n). What is g(d(a))?\nAnswer: -6*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1213 + 30102331202?\nAnswer: 30102333021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15\/38 or -1?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309 is divided by 72?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, f: 2, v: 1, h: 6, p: 2, q: 3}. What is prob of picking 2 h, 1 q, and 1 s?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3704872\/3 or 1234957?\nAnswer: 1234957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -412 by -1086.\nAnswer: 206\/543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 6*d**2. Suppose -2*c + 23 - 9 = 0. Let p(h) = 0*h - 3*h - c*h + 6*h - 12 + 5*h. Give f(p(s)).\nAnswer: 6*s**2 - 144*s + 864","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.00078 * -18203\nAnswer: 14.19834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (189\/(-504))\/(10\/(-48)*(-20)\/(-50)).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19820.6 + -19820. What is the third biggest value in 4, -12, -0.6, 5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1008 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 297581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002195185 to four decimal places.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 385\/132 + 3\/36. Which is the closest to 2\/9? (a) -50\/7 (b) 1 (c) q (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-8) + 14\/8. Suppose -a = 3*a - 5*n - 44, -32 = -w*a + 5*n. Let z(q) = 29*q - 13. Let c be z(a). Calculate the highest common factor of 23 and c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -2*f**5\/105 + f**4\/84 - 4*f**2. Factor l(j).\nAnswer: -2*j*(4*j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1118493 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11477\/((6 - 7)*(-7)\/7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) -4 (c) 2\/23 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4586 - -2585. What is the remainder when b is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21171 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 7*q = 7186, 3*c + 4*q = 5738 + 1454. Is c a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -14*a**3 - 8*a**2 + 8*a - 44. Let d(v) = 5*v**3 + 3*v**2 - 3*v + 15. Calculate 8*d(f) + 3*x(f).\nAnswer: -2*f**3 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s + 1. Let p be o(-2). Suppose -g - p = -243. Let n = g + -43. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence acf when three letters picked without replacement from {y: 1, a: 1, f: 2, n: 1, m: 1, c: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*a**4 + 1 - 11*a**4 + 25*a**4 - 5*a**3 as u + o*a**3 + n*a**4 + p*a**2 + k*a and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -8*f + 104. Give w(14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 20.08249 + 0.22\nAnswer: 20.30249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**4\/5 + 118*u**3\/5 + 894*u**2\/5 + 1962*u\/5 + 1188\/5 = 0.\nAnswer: -3, -1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 + 115*a + 15539. Determine w(-66).\nAnswer: -763","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 98703 + -63429. What is the smallest common multiple of i and 4?\nAnswer: 70548","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011556 rounded to four decimal places?\nAnswer: -0.0116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - -110) + 10 + -8. Let n = -61 + p. Does 13 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*f - 12, 3*a = -2*a + 2*f + 76. Let j = 24 - a. Solve 5*h + j = -s, -3*h - 3*s = -0*s for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/41483 and -13\/3.\nAnswer: 124449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 3*h + 33, 67*v + h + 33 = 72*v. Let t be -2 - (-114)\/18 - v\/(-9). Calculate the highest common divisor of 125 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 2\/(-6)*1)*48. Let z = p + -64. Are z and -2\/343 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 293 + -293. Let m(c) be the first derivative of 1 + t*c - 5\/3*c**3 + 3\/2*c**2. Find the second derivative of m(b) wrt b.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 156, 768, 1838, 3366, 5352, 7796?\n\"Answer: 229*k**2 - 75*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26.66 + 0.34. Let j = 26.9925 - i. What is j rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -4*n - 6. Let l be o(-2). Suppose u + l*m = 119, 0 = -0*u - 2*u + 5*m + 202. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*1*1\/(-27)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - m = 2*m - 59, 0 = c - 5*m - 19. Let p be 28\/70 + (c\/(-10) - 1). Is (p - -2)\/((-1)\/110*6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22454 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 804797499*r**6 - 140*r**2 - 4*r - 223140.\nAnswer: 96575699880*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.5, -8, -5\/4, 5?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 88 + -51. Let w = 7400 + -7363.128. Let o = w - h. What is o rounded to two decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -16 - (7 - -16)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 - -1001111101111110010100100?\nAnswer: 1001111101111110010101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z - 2*z + 4*z)*(-z**2 - 2 + 2) + 30*z**3 - 45 + 45.\nAnswer: 31*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/8020 and -101\/291126.\nAnswer: 2911260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*w + 2*w**2 + 90*w - 5*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**5\/7 + 88*k**4 - 96073*k**3\/7 + 367818*k**2\/7 + 1026324*k\/7 + 561816\/7 = 0. Calculate k.\nAnswer: -1, 6, 306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -84 divided by -28\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 238 from -159.\nAnswer: -397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 5*o - d - 39, -o - 21 = d. Let c be 16\/((-480)\/o) + 68\/(-5). Let p(r) = -2*r - 20. Determine p(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (3 + (sqrt(1573) - 6*-2*sqrt(1573)) - (1 + sqrt(1573)*-2 - -5*(sqrt(1573) + sqrt(1573) + 0))))**2.\nAnswer: 330*sqrt(13) + 39334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.44 * -380.7.\nAnswer: 167.508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000134076 rounded to 7 dps?\nAnswer: 0.0000134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*f + 5 = m, 9 = 3*m + f. What is the closest to 1\/2 in 2\/3, -3, m?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/55*((-1150)\/90)\/(-23)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in -3\/5, -21, 1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24536 less than 24536?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 900468.\nAnswer: 3601872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/10? (a) -1 (b) 0 (c) 2 (d) -203\/9 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -761*0.1\nAnswer: -76.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.016 and -5.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3553496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-24)\/9)*(-1820)\/31395\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175033 is divided by 85785?\nAnswer: 3463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 813, 815, 817, 819?\nAnswer: 821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*k + 86, 5*n + 3*k - 412 = n. Does 23 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/3)*b)**(-4\/13) assuming b is positive.\nAnswer: b**(-20\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ldlldddlldldl. What is prob of sequence llll?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + 16055224419.\nAnswer: 16055224424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 23588318 divided by 11794159\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 8*l - 9. Determine w(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 - 10 - 39\/2*y.\nAnswer: (y - 20)*(2*y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 381*q + 2 - 1146*q + 378*q - 3 + 382*q.\nAnswer: -5*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1464.9695 - 0.8.\nAnswer: 1464.1695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -8938*m - 15736*m**2 + 15736*m**2 - m**3 + (-3*m**2 + 2*m**2 + 3*m**2)*(-2*m + 2*m - m) as w + n*m**2 + p*m + j*m**3 and give p.\nAnswer: -8938","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, n: 1, h: 1, w: 6, f: 4}. Give prob of picking 2 b, 1 f, and 1 w.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5\/2 + 53\/22. Let f = 43 + -44. Which is the closest to f? (a) 0.5 (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3)\/t**(3\/7))\/(t*(t\/(t\/((t**4*t)\/t)))\/t*(t*t**(2\/49)*t)\/t) assuming t is positive.\nAnswer: t**(-415\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 450*m**4 + 370*m**3 + 96*m**2 + 8*m = 0 for m.\nAnswer: -2\/5, -2\/9, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -5*o - 23, -5*u + 2*o + 16 + 4 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 181163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from rqqvqvqqvrqqr.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**2 - f + 8. Let g be s(0). Suppose 5*k = g*k - 24. Solve 0*x - k = -2*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00043304 rounded to 5 dps?\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 10:32 AM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 20 = 5*b, 59027*b - 5*k - 4 = 59028*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/(-8) + (-1)\/(-2) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, -1\/9, 3, -1 in increasing order.\nAnswer: -4\/3, -1, -1\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + 2. Suppose 3*y = 5*y + 2*i - 6, 5*i - 9 = -3*y. Suppose -3 - 15 = -y*f. Which is smaller: f or q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2. Let p(l) = 1657*l. Give u(p(i)).\nAnswer: -2745649*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7 + 3 + 3)*(-2 + 2*c + 2) + 1 - 3 + 4 + c)*(9*c**2 - 6*c**2 + 9*c**2).\nAnswer: -12*c**3 + 24*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 716666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -106, -2, -3, 22, 5.\nAnswer: -106, -46, -3, -2, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k - 1. Let w(i) = -2 - 2*i + 5*i + 6 + 2*i. Let x(c) = -4*n(c) - w(c). Let g(m) be the third derivative of -m**4\/3 - 12*m**2. Calculate g(x(y)).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, -1.9, -66, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 3*m + 54. Suppose z - 3 = -4*x, -2*x - z = -4*z + m. Suppose -13*u + 2*u + 143 = x. What is the highest common factor of 91 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0*v + 2 = 2*v, 0 = 4*r + 5*v - 8. Suppose -2*h = -3*m - m + 50, -r*m + 19 = 5*h. Calculate the greatest common divisor of m and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.02, -30\/13, 4, 2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 5:37 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -6*l + 11309*l**3 + 11304*l**3 + 11301*l**3 - 33913*l**3 - 4*l**2 - 5 + l. Determine v(6).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 271400?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0634455 micrograms to grams.\nAnswer: 0.0000000634455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -848, -3366, -7558, -13418, -20940, -30118?\nAnswer: -40946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times 10568?\nAnswer: -7397.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 2*w + 5. Suppose h + 3 = -2*h - 2*l, 9 = -3*l. Let g be y(h). What is the third smallest value in 1\/5, -0.1, g, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*n - 53*n + 21*n**3 + 18 + 26*n wrt n.\nAnswer: 126*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 119 + -71. What is the remainder when 49 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 24*d - 735. Give h(-18).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-32)\/(-12) + 8\/(-12). Let m(h) = -4*h. Let z(v) be the second derivative of -13*v**3\/6 - 2*v. Let w(k) = -21*m(k) + 6*z(k). Determine w(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03329, -1\/3, -408, 1\/4 in decreasing order.\nAnswer: 1\/4, 0.03329, -1\/3, -408","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of 0 - 32*p - 30\/7*p**2 - 58\/21*p**3 + 1\/35*p**5 - 13\/21*p**4. Factor u(j).\nAnswer: 4*(j - 15)*(j + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 6*r - 6. Let w be h(4). Suppose 9*n - 1 - 17 = 0. Is n smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 7*i**2 + 7*i + 5. Suppose -5*p - 3*t = 29, -2*t + 17 = -3*p + 11. What is q(p)?\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 29*n - 5. Let w be f(1). Suppose 18*m - w = 15*m. Solve 3*d - m*o + 3*o = -10, -3*o = -15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 301 - 231. Are 214\/3 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -232 + 230. Is 10 - 5 - l - -3942 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2209 + -5?\nAnswer: 2204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2, 0, 1.1, -0.4004, 1\/9, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -114, 1, 4, -4.\nAnswer: -114, -4, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1285*w - 10598*w - 1271481 = 0 for w.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 12:49 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-110)\/1045 + -5 + (-287)\/(-19). Solve -37*m = a + 212 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i**2 + 29*i - 141. What is u(7)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than -221405376?\nAnswer: -221405377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 203\/221 - 15\/13. Is 1 bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -1. Suppose -g - w*m + 237 + 437 = 0, 3*g + 3*m - 2010 = 0. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 8*j + 4. Let m be i(6). Calculate the greatest common factor of m and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4, -29, -92, -211, -404?\n\"Answer: -3*d**3 - d**2 - d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -0.054765567097575.\nAnswer: 2.945234432902425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*t - 0*t - 452923 - 17557. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 506 or 503?\nAnswer: 506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 6*q - 3. Let k = 119 - 124. Let z(t) = 7*t - 3. Give k*z(p) + 6*c(p).\nAnswer: p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 9*n**2 + 8*n + 2. Let b(i) = -i**3 - 7*i**2 - 11*i + 3. Let h be b(-5). Determine d(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 - u - 6. Determine p(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3116, -4, 6888?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 + -40. Let s = v + 13. Suppose 4*a = -s, 1245 = 2*m + m + 4*a. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2552?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**4\/5 - l**3 - 78*l**2\/5 - 88*l\/5 + 64\/5 = 0 for l.\nAnswer: -4, -2, 1\/2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -4*s + 22. What is the greatest common factor of s and 171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n, -3*a - n + 3*n + 159785 + 58648 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5808?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1770584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1088943?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6887\/4 - -1722. Which is the smallest value? (a) 35 (b) -5 (c) -0.1 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -258514*h - 115078.\nAnswer: -258514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15429\/91 greater than 171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)\/(sqrt(8)*-4))\/sqrt(432)*6*-5.\nAnswer: 5*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 302432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -169*t**5\/5 - 897*t**4\/5 - 298*t**3 - 744*t**2\/5 = 0.\nAnswer: -31\/13, -2, -12\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14481696?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 4*sqrt(8) + -1)*-4 - ((sqrt(8) - sqrt(392))**2 + (-6*sqrt(98))**2).\nAnswer: -3812 - 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 7. Let z = y - 5. Let m(b) = -3 - 3 - b**2 - 2*b**3 + b**3. Calculate m(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 346242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 104 and 52?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 440 = -127. Suppose 0 = 3*b - c - 69. Suppose b = -j + 6*j. Solve 0 = 3*t - 5*t + j for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -14, 8, -5, -2, -40 in increasing order.\nAnswer: -40, -14, -5, -2, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 22 + -1252673?\nAnswer: -1252651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*t - t + 5*q, 5*q = -5*t. Suppose -3*m + 7 = -t*m. What is the second derivative of 51*w**3 - 62*w**3 + 23*w - m*w wrt w?\nAnswer: -66*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -4, 0.2, -0.1, 114?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 235999, 472007, 708015, 944023, 1180031?\nAnswer: 1416039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 104550, 104513, 104462, 104397?\n\"Answer: -7*v**2 - 16*v + 104573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19509778 is divided by 31?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 + -15. Let d = -18 + w. Suppose 4*p - 20 = -d*u, -5 = p + p - u. Solve 5*v + 2*h + 3 = p, 5*v - h = -4*h - 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**2 + 21*z**2 + 14*z - 6*z**2 - 5*z**2.\nAnswer: 4*z**2 + 14*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4269 (base 11) to base 10\nAnswer: -5641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*i - i. Which is the nearest to 2\/3? (a) i (b) -4 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 50\/20 - 1\/2. Suppose 0 = -y*m + m + 6. Find the third derivative of 7 - 3 - 4 - r**2 - 3*r**m wrt r.\nAnswer: -360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + 0. Suppose 0 = -l + f + 5, 0 = 2*l + 5*f + 3 - 6. Which is the nearest to y? (a) 0 (b) l (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r**2\/5 - 58577122*r\/5 + 857819805450721\/5 = 0. Calculate r.\nAnswer: 29288561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20884 and 592924.\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*u - 20*u - 8 + 9*u - 14.\nAnswer: 2*u - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2311 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + 0.95146692721?\nAnswer: 1.05146692721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q**2 + 17*q - 10*q**2 + 4*q**2. Let d(r) = -3*r**2 + 6*r. Let m(i) = 2*c(i) - 7*d(i). What is the second derivative of m(p) wrt p?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -316 = -28*a - 260. Solve 3*h - 3*k = -6*k + 3, 3*k - 3 = a*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 1)*(-4*o + 5*o + o) + 4 - 3*o - 4)*(10*o - 14*o + 12*o).\nAnswer: -40*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24\/(-8) - (-5 - (1 - 0)). Solve 5*z = f*w, 5*z - 2*w + w = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 1. Let t(b) = -7*b**2 + 11*b**2 + 11*b**3 + 2 + 13. Let l(a) = -4*c(a) + t(a). What is the derivative of l(m) wrt m?\nAnswer: 33*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/13, -1, 1.8, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, j: 1, g: 1, q: 5, u: 1}. What is prob of picking 1 j and 2 w?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 1)*(20 - 20 - 17*f**2).\nAnswer: -51*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5562 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021 + 101?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q - 5*q = -33 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a889 (base 12) to base 7.\nAnswer: -222333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.3219 rounded to the nearest integer?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p + 45. Let b(d) = -d - 86. What is 2*b(s) + 5*c(s)?\nAnswer: 3*s + 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*m = -28*m - 25*m + 65232. What are the prime factors of m?\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5930*p - 6757*p + 1243*p.\nAnswer: -11444*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57855, 57846, 57835, 57822, 57807, 57790?\nAnswer: 57771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2409075?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7623839 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/28 and (15\/(-24))\/((-8)\/(-12)).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/17332 and 21\/18916.\nAnswer: 81963028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - (-3 + -13 + -45 + 55).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182020 is divided by 169?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 51926, 51923, 51920, 51917?\n\"Answer: -3*f + 51929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*y + 3*c, 4*c + 12 = -2*y + 7*c. Let a be (2 + y + -3)*-5. Solve -j = 2*p - a*j - 10, -32 = 4*p + 5*j for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-1)*((7\/42)\/(4\/(-8)))\/(-21).\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*o - 3846 + 634 = 0. Let c be o\/8 + (-40)\/320. Solve 12*r = c*r - 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -789*u**6 - u**3*y - 237*u**2*y + 10*u*y wrt u?\nAnswer: -94680*u**3 - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1023, 8322, 28125, 66684, 130251, 225078?\nAnswer: 357417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m - 6. Let k be b(7). Suppose t + k = 5. Let x = -9 - -16. What is the lowest common multiple of t and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*(sqrt(70) - -1*sqrt(70)) + 3*(sqrt(70) - sqrt(70)*-2))\/((-4*(-1*sqrt(90) - sqrt(90)) + sqrt(90) - sqrt(90))\/(sqrt(36)*-3)).\nAnswer: 45*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 84, 87, 90, 93, 96, 99?\n\"Answer: 3*p + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((855\/60)\/(-19))\/((-450)\/480)*1000\/16.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, -6.3, -1, 4\/7, 38, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 j when three letters picked without replacement from {j: 3, l: 17}.\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) -1 (b) 4 (c) 1808\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + (-3 - (-8 + 0)) - 1. Factor 48*h + 52 + k*h**2 - h**2 - 7.\nAnswer: 3*(h + 1)*(h + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -58800, -117609, -176426, -235251, -294084, -352925?\n\"Answer: -4*v**2 - 58797*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4 + 37*p**3 + 796*p**2 + 2708*p + 2544.\nAnswer: -(p - 53)*(p + 2)**2*(p + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n = -24 + 58. Put -1, 4, n, -3 in decreasing order.\nAnswer: 4, -1, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a millennium in years?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4039?\nAnswer: 7, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 2)*(0*p - 2*p + 4*p) - 3*p - 48 + 56 + p.\nAnswer: 4*p + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of 0 + 1\/24*h**4 - 181\/6*h**3 + 0*h + 1\/6*h**5 + 163*h**2. Differentiate k(j) wrt j.\nAnswer: 20*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42.28 - 42.28010915. Round k to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 635 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 2. Suppose 0 = 3*o - s - r, 0 = 3*o - 0*o - 2*s - 1. Suppose -4*x = v + 3 - o, 0 = 2*x + 3*v + 6. Solve 3*t = b + 12, x = -b - 2*b + 3*t - 18 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -7316?\nAnswer: -7311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*(-2 + 8\/(-12)). Suppose 4*n + 4 = -3*h, -6*n + 3*h + f = -4*n. Let o(x) = -2*x**n + 2 - 2*x - x**3 + 2 + 7*x**2 - 4*x. What is o(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 930864, 3723458, 8377780, 14893830?\nAnswer: 23271608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.2340759 grams?\nAnswer: 234.0759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -5.1773?\nAnswer: -25.8865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 78 = 70*t - 63*t, -28 = -4*i + 3*t for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 676\/(-34) - 0 - (-4)\/(-34). Suppose n = -67 + 461. Is 28 a factor of 10\/v + n\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, v: 1, f: 1, m: 1, r: 4}. Give prob of picking 2 r.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -0.0419.\nAnswer: 0.1676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + 1. Let m = 20 - 7. Is m > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53.44 - 53. Let a = b - 0.04. Let w = 0.03 - 0.33. What is the smallest value in -4\/5, a, w?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -5*p - 2, p + 3*p = -4*y - 8. Suppose i - 4 - 15 = p. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 14, -2, 51, 4.\nAnswer: -2, 2, 4, 14, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.2 - -4.2. What is the second biggest value in 3, 1, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 2:11 PM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + f = n - 2, -5*n + 38 = 4*f. Let d be (6 + -9)\/(-6)*0\/n. What is the nearest to -1 in -3\/4, d, 1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22570843?\nAnswer: 23, 42667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.01017*71.09\nAnswer: 0.7229853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3133 - -1?\nAnswer: 3200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + -1 + 70\/(-84). Are -1 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5*g**2 + 2*g + 2. Let v be 4\/10 - 13\/(-5). Let a = v + -5. Does 9 divide s(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nepeeppeeeenn. Give prob of sequence ppe.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-2 - -2)\/((-84)\/(-42))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -r**7\/21 + 321*r**5\/20 - r**4\/12 + 28*r**3\/3 + 98*r. What is the third derivative of v(b) wrt b?\nAnswer: -120*b**2 + 1926","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 1\/4*d**4 + 0 + 21*d**2 - 5\/3*d**3 + 42*d. Differentiate s(b) wrt b.\nAnswer: 6*b - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-20))\/(-8*(-20)\/(-320))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50121?\nAnswer: 3, 5569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 9*z**2 + 5*z + 52. Let f be n(-9). Solve 1 = -3*v + f for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -273*u - 19. Let b(j) = -274*j - 16. Give -6*b(l) + 5*f(l).\nAnswer: 279*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -6. Let s = 7 - z. Put s, -2, -3 in ascending order.\nAnswer: -3, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m**3 + 127*m**2 - 65*m + 34. Let q(j) = j**3 + 28*j**2 - 16*j + 9. Let r(b) = 2*c(b) - 9*q(b). Give r(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -12, -13, -20, -33, -52, -77?\n\"Answer: -3*v**2 + 8*v - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8 + -0.2. Let k = 0.9 - 0.1. Let p = k - 3.8. Which is the nearest to o? (a) p (b) 0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 349633962 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6227 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: Let r(c) be the first derivative of -c**7\/35 + 2*c**4 + 40*c**3\/3 + 40. Let o(i) be the third derivative of r(i). Find the first derivative of o(n) wrt n.\nAnswer: -72*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33930.546802057 - 35351.54680148. Let u = c + 1421. Round u to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*i**4\/3 + 43428*i**3 - 991094*i**2\/3 + 428440*i + 802200 = 0. Calculate i.\nAnswer: -1337, -1, 30\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5956 - -0.0956. Which is the fourth smallest value? (a) -4\/9 (b) -23 (c) -0.4 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8715600 to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 3*h**2 - 13*h + 68. Let f be p(4). Solve -2*g - 8 = -f*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 601370 and 107030?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2*sqrt(1100) - (sqrt(1100) + 2 + -5))*-4.\nAnswer: 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tttb when four letters picked without replacement from bbtbttttbttttttb.\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 108\/(-84)*5\/3*(-84)\/(-12)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 83*h**3 - h**2 + 1. Let j be p(1). Let d = j - 46. List the prime factors of d.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.784 - -0.784. Which is the nearest to -0.1? (a) 5 (b) u (c) -3 (d) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4369 and 2773671\/635 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-9))\/((-4)\/(-6)). Let g = -0.0454 - 0.2546. Which is the nearest to z? (a) -5 (b) g (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-82)\/943)\/((-12)\/(-824)) - 6*(-1 + 0)?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15232677469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23570681, -23570683, -23570685, -23570687, -23570689?\nAnswer: -23570691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 19676?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 50\/15*(-20)\/(-200). Does b = 3302?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - v = -l - 72988, -3*l = v - 54742. Suppose -3*g = -3*d - l, 0 = -4*g + 3*g + 2*d + 6078. Suppose -1984 - g = -6*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1125828 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mygnyzn. Give prob of sequence yy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 83345256 and 24?\nAnswer: 83345256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2329950816?\nAnswer: 2, 3, 8090107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-118)\/(-62))\/((-21787)\/(-675397))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/875, -121\/3, 4, 186 in decreasing order.\nAnswer: 186, 4, 2\/875, -121\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -73*y**4 + 359*y**3 - 17898*y**2 - 2 wrt y.\nAnswer: -1752*y + 2154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 121*b + 111375*b**3 + 16*b**5 + 2*b**5 - 111376*b**3 wrt b?\nAnswer: 360*b**3 - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - x + 2*x)*(3 - 2 + 0) + (-3 - 3 + 5 - 1 - 1 + 4 + (1 - 1 + 7)*(-3 + 3 + 1))*(x + 0*x - 3*x).\nAnswer: -15*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*j = -63*j + 4*j + 966. Let k(u) be the second derivative of 0 + 40\/3*u**3 + j*u**4 + 8*u**2 + 11*u - 2\/5*u**5 - 14\/15*u**6. What is s in k(s) = 0?\nAnswer: -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pfp when three letters picked without replacement from {f: 5, p: 3, r: 2, e: 2}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*d - 54*d + 2*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57872125?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 167574793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -4450111 equal to -4450111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9.3 - -9. Let h = 1.738 + -6.738. Sort a, h, -1.8 in decreasing order.\nAnswer: a, -1.8, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14175 and 12600.\nAnswer: 113400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from chchhcohoho. What is prob of sequence cho?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -4*d - 59, -2*d + 0*d = -3*z + 35. Let j = 24 + d. Let x be -3*5\/(30\/(-4)). Solve x*n = -3*a, -j = 4*n + 4*a - 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4 = 6. Let b be -1*2*193\/n. Suppose 0 = 3*v + a - b, 30 = v - 3*a - 51. Calculate the highest common divisor of 22 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -12\/13 (b) -0.09 (c) 0.114 (d) -2\/3 (e) -0.1 (f) 2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6016 is divided by 301?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 2*v + 3*v - 5*h, 20 = 5*h. Let f be 33\/9 - v\/(-18). Let g = -2856 + 2862. Solve 2*p - 3*c = 11, c - g = -p + f*c for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2299*f + 3. Let p(m) = 2*m. Calculate h(p(k)).\nAnswer: -4598*k + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.9 + -2.1. Let d = 4 + u. What is the nearest to -0.1 in -0.4, -2\/7, d?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 82 - -1025. Let m be (-4)\/26 - f\/(-351). Solve 0 = -0*x + m*x + 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22708?\nAnswer: 2, 7, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**6*d)**(12\/11)\/((d**(-14)\/d)\/d**(-6\/7)) assuming d is positive.\nAnswer: d**(1677\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59026 is divided by 1904.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 437733, 437665, 437597, 437529, 437461, 437393?\n\"Answer: -68*w + 437801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -1128 (c) -22\/5 (d) -2 (e) -0.5 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11)\/14 + 2\/7. Let a(x) = 2*x - 25. Let f = -32 - -45. Let s be a(f). Is c at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*a + 2*a + 133*a.\nAnswer: 114*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-9))\/(-4)*-12\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 5*s - 9. Suppose -3 = m + 2*p, 2*m + p + 0 - 6 = 0. Sort -4, s, m.\nAnswer: -4, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14126 is divided by 1012?\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in decades?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 12 and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*m - 19 = 681 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/234640 and -97\/992.\nAnswer: 14547680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 12:12 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2156920\/(-128) - (-1)\/(-16). Let c = o - -28642. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/8)\/(q\/(q**(-42)\/q)*q))\/(q\/q**(-7\/13))**(2\/37) assuming q is positive.\nAnswer: q**(-174923\/3848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*c - 9*c - 1720. Round c to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.54, 9\/31, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 936 is divided by 935?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9\/179 (b) 0 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8 times 0.9?\nAnswer: -2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 97423 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 5:59 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 62567.1925 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -1. Let y(v) = 3*v**2 + m*v - 2*v**2 + 5 - 2. Let o be y(-2). Sort -0.4, 4, o in increasing order.\nAnswer: o, -0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 5*m. Suppose 0 = 6*o - 8 - 4. Calculate y(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 10023?\nAnswer: 10024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1915*k**2 - 2182 + k**4 + 48*k**4 + 1918*k**2 + 40*k**4 wrt k?\nAnswer: 356*k**3 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6673, -6671, -6669, -6667, -6665, -6663?\nAnswer: -6661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -19. What is the closest to 1 in 0.2, p, -2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-28)\/(-6) + ((-16)\/6 - -2). Solve -i - 20 = 4*k, -2*i - r = -k - 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1549625869?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 7449 + 6023 = -4537. What is the hundreds digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 5:28 AM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3600.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6336 - 4572. Does 84 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0*f = -4*p + 114, 0 = 2*p. What is the remainder when f is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 2*y + 3*y)*(2 - 2 + 3*y**4) + 6*y**5 - 3*y**5 - 5*y**5 - 2*y**5 - y**5 + 2*y**5.\nAnswer: 3*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (81\/18)\/(48\/8).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 812, 806, 788, 752, 692?\nAnswer: 602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -26*d**2 - d + 6. Let s be -7 + 23 + (-23 - -1). Let c(g) = -26*g**2 - g + 7. Determine s*o(b) + 5*c(b).\nAnswer: 26*b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 117 and 91.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34441468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + l = 489, 8*l = 3*j + 5*l - 477. Suppose 4*a + 20 = 4*r, -r = 4*r - a - 17. Suppose 5*y - 376 = -4*t, t = r*t - 4*y - j. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 2:56 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 - 1 + 70 + 5*z - 80*z - 78.\nAnswer: -75*z - 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5)\/d**0*(d\/(d\/(d*(d\/(d**0\/d))\/d)))**(17\/2))**(-12) assuming d is positive.\nAnswer: d**(-144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, s: 1, t: 4, f: 1}. Give prob of sequence too.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/28, 2\/9, -1\/4, 33, -1\/63?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 29798.\nAnswer: 268182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**0\/c*c)**(-2\/39)*(c\/(c**(-2\/9)\/c))**(3\/8))**(1\/3) assuming c is positive.\nAnswer: c**(61\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - (3 - 3)\/(0 - -2). Put -4, 7, 2\/7, o in ascending order.\nAnswer: -4, 2\/7, o, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 6*w + r - 300, 4*w = -3*r + 251. Let h = w + -56. Solve f - 8 = h*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/10)\/(((-368)\/(-120))\/(-23)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -577, -1166, -1779, -2416, -3077?\n\"Answer: -12*c**2 - 553*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jdablali. Give prob of picking 1 d, 2 l, and 1 i.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 5*m + 322, 5*z + 181 = -m - 385. Let t = z - -792\/7. Suppose -5*i = 3*q - 4, i + 2*q - 3 = -2*i. Which is smaller: t or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -69*n**2 - 42 + 70*n**2 + 261 + 22 in the form d + g*n**2 + u*n and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 9. Let w(s) = -11*s + 84. Calculate the lowest common multiple of w(6) and -3 + (18\/a)\/(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 6*x - 11. Let h be b(-5). Is -8 at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v - 1. Let w be k(-1). Suppose 3*i - 5*m - 3 - 9 = w, 2*i = -m + 21. Is 8 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of y**4\/24 + 2*y**3\/3 - y**2. Let b be n(-9). Sort 4, b, -1.\nAnswer: b, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -440 divided by -4?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45 - 32. List the prime factors of b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 + 43. Let x(t) = -12*t. Let y(h) = h. Let k(d) = p*x(d) - 6*y(d). Let g(v) = 4*v**2. Give k(g(s)).\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-413)\/59)\/(0 + -1). Solve 17 = -2*y + s for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 7:27 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 623.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-12 + 35 + -21 + -5).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = 2*n - 5*a, 3*a + a + 152 = 3*n. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -735*l**3 + 8*l**2 + 12*l - 15. Let m be y(11). What is m rounded to the nearest 10000?\nAnswer: -980000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4*q**3 - 16*q**2 - 140*q - 353. Calculate i(-3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*k = 24*k - 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = s - 2, 0 = 2*n + 3*s - 0*s + 2. Solve 0 = 2*a - 0 - n for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 - 0. Suppose -4*p = 77 + 35. Let z = p - -34. Put 1\/5, z, k in ascending order.\nAnswer: 1\/5, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -241 + 375. Suppose -4*b + 1050 = 17*b. Calculate the remainder when g is divided by b.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8489267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*u - 6*u + 192*u = 83*u, 0 = -3*y - 3*u - 1 - 11 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 85629 - 41091. What are the prime factors of i?\nAnswer: 2, 3, 13, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15574 by -2.\nAnswer: 7787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -58575*q**2. Let x(p) = -6*p. Calculate x(z(j)).\nAnswer: 351450*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, p: 5, w: 7}. Give prob of sequence pwbp.\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000578238 rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 73 = -3*r + 5*z, -3*r = 5*z + 119. Let w = -32 - r. What is the least common multiple of w and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2196410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1117?\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(5\/4))**(8\/7)*o**8\/o**(17\/5))**(-8\/3) assuming o is positive.\nAnswer: o**(-1688\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68974?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/14364 and -163\/208620.\nAnswer: 4381020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35768029?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 9*l**2 + 9*l - 7. Let y be s(-10). What is the second derivative of -25*u + 19*u**4 - y*u - 4*u**4 - 2*u**4 wrt u?\nAnswer: 156*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28028 by 1001.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8702 (base 15) to base 8\nAnswer: 67641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.208 + 1.06. Let y = 5.148 + q. Which is the nearest to 1\/2? (a) -0.22 (b) y (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11311557 to the power of 1\/3, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1)\/c**(-2\/5))**(4\/3) assuming c is positive.\nAnswer: c**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -21*w**2 + 16*w - 21. Let v(q) = 5 - 3*q + 4*q**2 + 0*q - 1. Let u = -78192 + 78190. Give u*i(x) - 11*v(x).\nAnswer: -2*x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*l + 23*l + 6*l**3 + 4*l**3.\nAnswer: 10*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + 0 + sqrt(2736)) + (3*(sqrt(2736) - (sqrt(2736) + (sqrt(2736) - (sqrt(2736)*2 + sqrt(2736))) + -4 - sqrt(2736))))**2.\nAnswer: 2556*sqrt(19) + 221772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - p + 4*p - 52 = 0, -153 = -4*k - p. Suppose n + k = 2*s, -4*s - n = -39 - 26. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.592423903 - -46.407576517. Let r = -618 + 565. Let i = w + r. Round i to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7276190 rounded to the nearest 10000?\nAnswer: 7280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -7. Let u = 6 - n. Suppose u = -3*a - 5*z + 45, 8 = 4*a + z - 52. What is the remainder when a is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 67424231 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 80659619735 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 381*r - 758*r + 371*r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -998, -2001, -3006, -4013, -5022, -6033?\nAnswer: -7046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 303 + -289 - (5 + 4 + 4 + -8).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 11*x**3 - 2*x**2 + 2. Is r(2) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(0*x**2 + x**2 - 4*x**2)*(-36*x - 27*x - 25*x).\nAnswer: 264*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - t - 3. Let b = -37 + 40. Determine x(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 195 - 113. Does 47 divide j + ((-30)\/2)\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*z = 14, 4*u + u + 30 = -4*z. What are the prime factors of 35\/(-1)*(u + 1)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66 - 66 - i + 3*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = k + 6. Suppose 5*t + 0 - 5 = 0. Let i = t - k. Solve 7 = -i*y - 3*q, q + 1 = 2*y - 2*q for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n + 5 + 4 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6118\/31 - 16102669\/81592. Which is bigger: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 193829244 and 18459928.\nAnswer: 387658488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 12) + (-37)\/(-8).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 264 + 64. What are the prime factors of i?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 7 (c) -2\/3 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 + 32*m - 44.\nAnswer: -(m - 2)*(5*m - 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12611*j - 28 = 12604*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 458 and 3738425?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3193 and 77353?\nAnswer: 2397943","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - 12681.\nAnswer: -12681.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -76 - -240. Suppose 4*c - 3*q + 13 = 601, o = c - 5*q. Suppose 2*b - 2*t - c = 0, -7 - 142 = -2*b + t. Calculate the remainder when b is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8814?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, -2\/33, -9, -1.4, 7, 2\/13 in decreasing order.\nAnswer: 7, 2\/13, 2\/17, -2\/33, -1.4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57949 + 230289\/4. Let a = -375 - y. Let i = a + -2. Is i at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 12*c - 155. Give u(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -26*w**2 + 43049*w + 2. Let t(f) = -f**2. Determine g(t(p)).\nAnswer: -26*p**4 - 43049*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 111 - 4. What is the remainder when f is divided by 29?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2596 and 719741?\nAnswer: 2878964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 118190.84 and 6.\nAnswer: 709145.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.07 - 4.07. Let b be 3\/(-30) + 1\/2. What is the second smallest value in n, -0.5, b?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + -2)\/(24\/16). Let v(c) = -5 + 8*c**2 + 5. What are the prime factors of v(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2480)\/48 - (-5 + (-50)\/(-15)). Is l bigger than 2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28708467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 6*f**2 + 2*f. Let c be r(6). Let o = c + -7. Let n be 100\/135*45\/(-75)*-1. Which is smaller: n or o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -146 + 1ce6ce?\nAnswer: 1ce588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 + (-27 - (15 - 63))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*u - 11 = 0, 0 = v + 2*u + u - 17. Let z be 4 + 1 + -5 + v. Solve x - z = -3*h, h - 1 = -4*x + 7 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 246*s = -0*f + 83*s + 497, 2*s - 6 = -0 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 7*u + 22. Let t be (-2 - 2 - -22)\/2. Let j be z(t). What is the second derivative of 4*q**4 - 3*q**4 + 5*q + 8*q**j - 3*q**4 wrt q?\nAnswer: 72*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -880 + 654.8. What is q rounded to the nearest 10?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of y**4\/12 + 4*y**3\/3 + 4*y**2 + y. Let f(u) = 2*u**3 + 11*u**2 - 36*u + 26. Let h be f(-8). Calculate b(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 1254*l + 60. Let u(k) = -9*k - 2. What is 120*u(b) + 4*w(b)?\nAnswer: 3936*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -n**5\/20 - 3*n**4\/4 - 2*n**3\/3 - 28*n**2 + 3*n + 5. Is h(-11) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 39 = -3*n, 0 = -5*n + 22*p - 17*p - 60. Let q be (n\/2 - 26\/(-13))*-2. Suppose 6 = 2*c + c. Which is smaller: q or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -27*v**3 - 4*v**2 - 2587*v. Let z(l) = 34*l**3 + 5*l**2 + 2587*l. Give 5*i(a) + 4*z(a).\nAnswer: a**3 - 2587*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of a**6\/120 - 3*a**5\/4 + a**4\/24 - 21*a**3\/2 - 22*a**2 + 139*a + 1. What is p(45)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*m + 6*m. Suppose -4*s - 344 = -344. Factor -3\/4*a**3 + 0*a + s - 1\/2*a**m + 5\/4*a**4.\nAnswer: a**2*(a - 1)*(5*a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.03 >= 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10297430\/33 + 2\/3. Let t = j - -28455. Let u be ((-1200)\/(-9))\/(t\/(-170250) - -2). What is u rounded to the nearest 1000000?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 18*z + 29. Let b be g(-16). Let k(d) = 5*d**2 + 2*d - 4. Let i be k(b). What is the greatest common factor of i and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 469 - 5*f**3 - 487 - 2*f**2 + 210*f**5 + 285 wrt f.\nAnswer: 12600*f**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 40 + -14 + -1 + 891 + -873 - -5\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**2 - 68*w + 573. Let z be o(12). Solve 12 = 11*p + z for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 8*y = -5*o + 30, -5*o + 16 = 2*y for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -4843*h - 122. Let v(t) = 2421*t + 73. What is -5*v(n) - 3*z(n)?\nAnswer: 2424*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2785106.\nAnswer: 2, 1392553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7711.\nAnswer: 11, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 210101220201 (base 3) in base 10?\nAnswer: 421300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 17. Which is the nearest to -0.03? (a) n (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/12, -2, -2\/5 in descending order.\nAnswer: 5\/12, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -306, -1225, -2756, -4899, -7654, -11021, -15000?\n\"Answer: -306*k**2 - k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 531954013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 127*g**3 + 13*g**2 + 4*g + 13. Let w(m) = -63*m**3 - 6*m**2 - 2*m - 6. Give 6*s(p) + 13*w(p).\nAnswer: -57*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2733 + 850. Let l = x + 1886.212. What is l rounded to 1 dp?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 4*y + 40, -4*y - 10 = -g + 3*g. Let x(a) be the first derivative of 338 - 4*a - 1\/2*a**2. Give x(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8834036, -35336301, -79506744, -141345365, -220852164, -318027141, -432870296?\nAnswer: -565381629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.567 times 9\nAnswer: 14.103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 3:16 PM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 38.01866 centuries?\nAnswer: 380.1866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40702 = 26*o + 42990 for o.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 1\/78*t**4 + 1\/13*t**3 + 8*t + 0 + 0*t**2. Find o, given that j(o) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108812405453 + -1?\nAnswer: 108812405452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -178\/18123, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5, -3, 1, 7, 15, 25?\n\"Answer: i**2 - i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of m**6\/120 + 7*m**5\/60 + m**4\/3 + 5*m**3\/6 - m**2. Let y = -323 - -317. Give p(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2584)\/(-48) + (-1)\/(-6). Let v = i - 29. Solve 6*z - v = z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5964955, 11929915, 17894877, 23859841, 29824807?\nAnswer: 35789775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -14*y**3 + 3*y**2 - y + 9. What are the prime factors of p(-4)?\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123.286 rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**3\/5 + 36*d**2 - 1162*d\/5 = 0.\nAnswer: 0, 7, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -0*d, 5*d = -4*i - 1056. Let o be 2\/3 - i\/(-72). Which is smaller: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296122199.\nAnswer: 31, 331, 28859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -381 + 381 = -2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49*f**4 + 224*f**3 - 382*f**2 + 288*f - 81.\nAnswer: -(f - 1)**2*(7*f - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 + 37 + 12*l + 28*l - 64.\nAnswer: 40*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16318 + -8947. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6a015 (base 12) to base 10.\nAnswer: 141713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, c: 7}. What is prob of picking 4 c?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*b - 7*b - 32. Suppose 15 + 61 = 5*r + 2*x, -b*r = -x - 53. What is the remainder when 95 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 6*u**2 + 8*u - 5. Let v be q(7). Suppose 28 = -0*s + 4*s + 2*w, 2*w = 0. Let f(i) = i**v + 3*i + s*i - 4*i - 5. What is f(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241 = -4*d - 5*n + 111, 12*n + 114 = -3*d for d.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + h = -568. Let x = -1991\/7 - h. Let g be 33\/(-39) + 1 - 63\/2184. What is the second smallest value in 1, g, x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7728 - -32?\nAnswer: 775a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002285108779 to seven decimal places.\nAnswer: 0.0000229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3563 + -12?\nAnswer: 3551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/(-252)*-4 - 114\/(-126).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**4 + 0*i**3 - 6*i - i**3 + 2*i**2 + 4*i - 2 - 5 to f*i**4 + d*i**3 + j*i + p*i**2 + w and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -0.403602?\nAnswer: 0.807204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1380372 is divided by 232.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/11 (b) -0.1 (c) -16.6 (d) -1011 (e) -5 (f) 0.3 (g) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 11) to base 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 2. Let i = 12\/19 - -2\/57. Sort i, z, 0.2 in increasing order.\nAnswer: 0.2, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -3*g - 4*v + 31, 0 = -5*g + 4*v + 171. Let t = -27 + g. Suppose 0 + 12 = t*n. Solve -n*w = w - 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**2 - 2*g - 4. Give j(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2*(sqrt(3564) + -2*sqrt(3564)) + (sqrt(66) + (sqrt(66)*3 - sqrt(66))*-6 - sqrt(66))\/(-3*(sqrt(24) - sqrt(6)) + sqrt(6)).\nAnswer: -30*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20223, -20236, -20261, -20304, -20371, -20468, -20601, -20776?\nAnswer: -20999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 525?\nAnswer: 1\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 26*g**2 - 53*g - 126. Let r be c(-24). Suppose 5*a + x + 16 = 0, -5*x = 3*a - 4*x + 8. Sort r, 5, a, -3 in increasing order.\nAnswer: r, a, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**3 - 290*v**2 + 326*v - 10. Let x(i) = -i**3 - 116*i**2 + 130*i - 4. Let j(s) = -5*h(s) + 12*x(s). What is the second derivative of j(n) wrt n?\nAnswer: -12*n + 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1403*a**5 + 4483*a**3 - 2*a**2 + 9007532*a + 4?\nAnswer: 28060*a**3 + 26898*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*t**5 - 8*t**2 + 8*t**2 + (t**3 - 2*t**3 + 0*t**3)*(t**2 - 2*t**2 + 0*t**2).\nAnswer: 8*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 28264493?\nAnswer: -28264488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/3)\/((-2)\/(-30)). Suppose -37 + 133 = 12*b. Calculate the highest common factor of b and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/2*(-80)\/(-400)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 2*s**2 - 18*s - 16. Let b be f(10). Suppose 15*u - 13*u = b. Calculate the smallest common multiple of u and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -1\/2*y**2 - 1 - y + 10\/3*y**3. List the prime factors of q(-1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + 3*(-23 + 22).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7051492 and 0.06.\nAnswer: 7051492.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 728599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6911 - 4614. Is a a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 88.53 - 90. Let h = -0.47 - g. Which is the nearest to h? (a) -5\/4 (b) -4 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(34) + sqrt(850)))\/(sqrt(144)\/sqrt(8)).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g + 22 = 15*g - 4*r, -2*r = g - 10 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-114)\/(-95))\/(2\/100). Suppose 0 = 3*z - 45 - 15. What is the greatest common factor of z and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 100. Let g = y + 76.7. Round g to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-8)*(-17)\/(1530\/24).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57 - (-123 - (76 - 327))?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 65\/(-6) + -31*(-40)\/(-7440)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -86, -130, -174?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 25 = -0*d. Suppose 2*r - 57 = -t, 0 = 3*r - d*t - 169 + 51. Let q = r + -16. Solve j - 6*j + q = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, t: 10}. What is prob of sequence cctt?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 + 5315552*n - 7063773266176.\nAnswer: -(n - 2657776)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -3*a**2\/5 - 757854*a\/5 + 169150629\/5 = 0.\nAnswer: -252841, 223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, 1, 34 in ascending order.\nAnswer: 1, 34, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -42 + 2?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -11. Suppose p*r - 3*r + 4326 = 0. Suppose -4*x - 3*x + r = 0. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6000382cm to micrometers.\nAnswer: 6000.382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3004747 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m**3 + 35*m**2 - 73*m + 17. Determine t(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14.3 in -14, 3\/2, 0.1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1277946 from -213.05.\nAnswer: -1278159.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 2*j**2 - 17*j + 28. What is r(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1355949204 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/10 + 5*(-24)\/(-1200) + 72\/(-20).\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 35*y**2 + 7*y + 7. Let k(z) = 141*z**2 + 26*z + 26. Let j(c) = -2*k(c) + 9*u(c). Let s(x) = -8*x**2 - 3*x - 3. Calculate 3*j(r) + 11*s(r).\nAnswer: 11*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c - 6. Let m(d) = -5*d + 2. Let q(l) = 4*l - 2. Let u(w) = 5*m(w) + 6*q(w). What is 6*o(b) - 17*u(b)?\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 2*l - 4*l. Suppose 4*m = -4*n - 1280, 2*n + 5*m - 920 = 5*n. Let t = n + 311. What is p(t)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*s - 17*s + 250. Solve 0 = -13*j - s - 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(165)\/sqrt(3)*1)\/(sqrt(44)\/sqrt(4)*2).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/(-60))\/((-11)\/66). Which is the third smallest value? (a) 2 (b) n (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m + 6. Suppose 5*c - j - 22 = 3*j, 0 = 5*j - 10. List the prime factors of q(c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-130)\/(-35) - (-4)\/14. Is 194\/p - 1\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 95976 divided by 23994\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -20665\nAnswer: -61995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -7*x**3 - 3*x**2 - 4*x - 3. Let k(n) = -8*n**3 - 4*n**2 - 5*n - 4. Let u(z) = -4*f(z) + 3*k(z). Calculate the lowest common multiple of 11 and u(1).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbrbbqbbbbqbrb. Give prob of sequence brrq.\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 + -22. Suppose 0 = -3*d + 2*l - 2, -7*d + 18 = -2*d + h*l. Let u(s) = s**2 - 3*s. Determine u(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12745, 101930, 343999, 815392, 1592549?\nAnswer: 2751910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 4*i + 4. Suppose 4*p = 3*p + 32. Suppose 4*d - 8*d + p = 0. Let j(x) = -2*x**2 - 11*x + 11. Determine d*q(r) - 3*j(r).\nAnswer: -2*r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -805\nAnswer: -1\/805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 3*y**2 + 3*y. Let i be a(2). Suppose -6*d = -i*d. Solve -c = -1 - d for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1270 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: Let j = -25702 + 25705. Suppose 0 = -4*d - 3*l, -2*d - 2*l = -0*d. Solve d*y = -y + j for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97246, -194496, -291744, -388990, -486234?\nAnswer: -583476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -67*k + 135. Let v(z) = -136*z + 271. Let n(w) = -9*l(w) + 4*v(w). What are the prime factors of n(11)?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 561750748 to the nearest integer?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-2)*-3*35\/21.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and (-33)\/(-77) - 131040\/(-196)?\nAnswer: 4014","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 10*j**2 - 5*j + 8. Calculate the remainder when 245 is divided by i(4).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30919458 to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.065299+-7842.03\nAnswer: -7842.095299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2576*u**2 + 853*u**2 - 452*u**2.\nAnswer: -2175*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dz when two letters picked without replacement from {r: 3, z: 3, m: 1, d: 2, t: 1, g: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8353 - 8350. Let q be 6*1 - (-3 - -4). Suppose 0 = -5*f - 0*f. Solve -2*g + q = 2*o - 1, f = -5*g - o + b for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-2)\/4)*((-4128)\/1075)\/(18\/210).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 16*v - 19*v. Calculate the least common multiple of (-1*2 - -1) + 7 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of u**8\/10080 - u**7\/1260 + u**6\/360 + u**5\/15 + u**2. Let z(q) be the third derivative of v(q). Factor z(p).\nAnswer: 2*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3611711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yayvvyvyvvvvy. Give prob of sequence ayy.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/7610 and -2\/2283.\nAnswer: 22830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3687654?\nAnswer: 2, 3, 614609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1426225, -1426224, -1426223, -1426222?\n\"Answer: q - 1426226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 12*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29\/10 - -22\/5. Let p = -7957 + 7922. Sort m, p, 2\/5, -0.4 in decreasing order.\nAnswer: m, 2\/5, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-64)\/60)\/(-8)*(-288)\/(-192)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-8738)\/(-51) - 2\/(-3) is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(((-28)\/105)\/(1\/5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 6:31 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/((y*y**5*y)\/y*y)*y*y**(2\/5)*(y**(-2\/5)*y*y)\/y**(-3) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8388, -33475, -75286, -133821, -209080, -301063, -409770?\nAnswer: -535201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-69655)\/(3*(-3)\/9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28561*w**3 - 5429959522*w**2 + 128519764*w - 760472.\nAnswer: -(w + 190118)*(169*w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of d**5\/30 - 13*d**4\/24 - 7*d**3\/3 - 3*d**2 - d. Calculate o(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-15))**(-1\/86) assuming x is positive.\nAnswer: x**(15\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 93, -21\/5, 2\/5, 0.03, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 3)*(n + 0*n - 3*n) - 190 + 129*n + 190.\nAnswer: 125*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16053*d = -13728*d + 255750 for d.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1847\/3 - -627. Is 11 < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-451 - 221 - 842)*(0*n**3 + n**4 + 0*n**3).\nAnswer: -1514*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*h + 14*h - 42. Sort -3, 3, h in decreasing order.\nAnswer: h, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/15168 and -59\/8058.\nAnswer: 257856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162) + -1 + 1 + 4*(sqrt(162) + 0).\nAnswer: 45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 407.5 - 407. Sort -2, f, -47, -0.5.\nAnswer: -47, -2, -0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 13 + 2 + 6 + (6 - 11).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 97069.8 from 0.057481079.\nAnswer: -97069.742518921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l + 2. Let b = 332 - 278. Suppose b = 33*h - 45. Calculate w(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 m when three letters picked without replacement from unnfnuffonumfnn.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1448425164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7682 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -97\/76?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1060 divide 2602073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310669292?\nAnswer: 2, 77667323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3794127 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - p**3 - 32 + 26 + 6*p**2. Let g(n) = -2*n**3 + 5*n**2 - 5. Let b(h) = -6*g(h) + 5*v(h). Let b(j) = 0. Calculate j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218196 = 285*c - 578*c + 284*c. Does 76 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -491 - -267. Let y = 638 + z. Calculate the smallest common multiple of y and 20.\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57456 and 179774?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -78.1 - -192.1. Which is the closest to 2\/9? (a) -2\/5 (b) -5 (c) j (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16392552 and 6138.\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 13*m + 2896 = 0. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 491*s + 19532. What is j(37)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4393\/15 + 293. Which is the second smallest value? (a) 3\/5 (b) f (c) -1\/3 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 4 - (-61 + 65)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/2*-5*10\/(-75)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 144 + -93. What is b rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + m = 14*m - 12*m - 15, 0 = -6*x + 5*m - 47 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 8*r**2 - 4*r + 9. What is the hundreds digit of y(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -246356672 from -174.9114.\nAnswer: 246356497.0886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6*0.0176665\nAnswer: 0.105999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxhvxxxvxxxgvxx. What is prob of picking 3 x?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 9590 to the nearest 100.\nAnswer: 9600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2600 = 3*j - 27439. Let v = j + -5015. Suppose -798 + v = -c. What is c rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 12135606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -10.9.\nAnswer: -54.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.8118427+35.2\nAnswer: 34.3881573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-34))\/(m**8*m) assuming m is positive.\nAnswer: m**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, t: 18}. What is prob of sequence ttt?\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*u**4 + 20*u**4 + 2*u**4 + (u**2 + 3*u**2 - 2*u**2)*(-4*u**2 + 5*u**2 + u**2) + u**4 + 2*u**4 - 4*u**4.\nAnswer: 48*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27294 is divided by 396.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -281, -553, -825, -1097?\n\"Answer: -272*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 23*r**2. Let b(y) = -y. Let f be b(1). Let x be w(f). Solve 4*k + j + x = -0*j, j = -2*k - 13 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-3) - 2\/6. Let i = c + 14. What is the smallest common multiple of i and 2\/(-3) + 34\/6?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-2 + (sqrt(13)*-1 - sqrt(13)) - sqrt(13)) + -1 + sqrt(13)*-1 - ((sqrt(39) - sqrt(975))\/sqrt(3) - (-3 + sqrt(325))))**2.\nAnswer: -60*sqrt(13) + 363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8006249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 58*o - 59*o = 6, 2*o + 12 = -4*q. Sort 3, q, 2, 9 in decreasing order.\nAnswer: 9, 3, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(sqrt(480)\/sqrt(10))*-1.\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 392 - 388. Let n(o) = -o**3 + 2*o**2 + 6*o + 3. Let j be n(y). Let u(w) = w + 3. Let x be u(-7). Which is smaller: x or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, a: 17}. What is prob of sequence paaa?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.12 in 7, 0.5, -3.43?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxq when three letters picked without replacement from sexvssjqqee?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 38 = 2*y + 2*p, -22*y + 14745*p = 14746*p + 34 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((7*c - 22*c - 10*c)*(5 - 3 + 1) - 20*c + 8*c - 9*c + (3 + 4 - 5)*(-c - 2*c + 4*c))*(0*c + 5*c - 3*c).\nAnswer: -188*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -744, -2961, -6726, -12117, -19212?\nAnswer: -28089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3\/1426 - -22067\/17112. Calculate the common denominator of (1\/9)\/((-8)\/(-404)) and i.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 2*n - 4 = 0, 4*f + 674*n + 14 = 676*n for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -9*o**2 + 28*o - 9. Calculate the common denominator of d(3) and 0 + 3\/(-6)*-71.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 3*a - 6. Let g be o(3). Let u(c) = -12*c - 4. What are the prime factors of u(g)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 307397\/6420 + -957\/20. Calculate the common denominator of 95\/84 and o.\nAnswer: 8988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 9*h + 1. Let v be m(1). Let q = 138 + -70. Suppose 3*n - q = -3*f - f, 0 = -3*f - 4*n + 44. What is the highest common divisor of f and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5*h. Let q(x) = -8*x**2 - 12. Let j(d) = 3*d**2 + 5. Let u(w) = 12*j(w) + 5*q(w). Give u(v(o)).\nAnswer: -100*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14273 - p**3 - 11652 + 17318.\nAnswer: -p**3 + 19939","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**5 - 216230*w**4 - 2162454*w**3 - 4973722*w**2 - 3027500*w = 0.\nAnswer: -7, -2, -1, 0, 108125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 92 - 12. Let x = 23 + b. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - o + 4. Let y(p) be the first derivative of -p**4\/2 - p**2 + 9*p - 13. Determine 7*k(g) - 3*y(g).\nAnswer: -g**3 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4448283 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a26 (base 12) in base 15?\nAnswer: 273c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/180 and (-118)\/(-10)*23\/161.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 6 = -10. What is the remainder when (-74)\/((-1)\/x) + (4 - 7) is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1073, 61, 23?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 283926264 + -0.0563.\nAnswer: 283926263.9437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/5, 1741, 4\/21?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = b + 2*b + 3*x, b + 7 = -2*x. Suppose -b*w - 44 = -7*w. Solve -3 = -4*p - w for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-2))\/(114\/76).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58012274 to the nearest integer?\nAnswer: 7617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 324*q + 1252. Give g(-4).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.254 + -5.254. Suppose 0 = a - 0*a. Let x be (-5)\/(-3) - (a + 1). What is the closest to x in 5, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, m: 1, h: 4, v: 1, s: 1}. Give prob of sequence vmjh.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 47513794+0.08\nAnswer: 47513794.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -3, -0.05, -4.\nAnswer: -4, -3, -0.05, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 223 - 219. Let t(p) be the second derivative of p**4\/12 - 2*p**3\/3 + 2*p**2 - 2*p. Let a(y) = -y**2 + 3*y - 3. What is c*t(u) + 5*a(u)?\nAnswer: -u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 191 - 572\/3. Let o be ((-1)\/(-3))\/(2\/(-4)). Which is the nearest to i? (a) 1\/2 (b) 4\/9 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 843865 + 900*l + 573*l - 483*l - 843865.\nAnswer: 990*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4002 (base 5) to base 11.\nAnswer: -417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 135*t**2 + 896*t + 12. Calculate k(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/966 and -133\/17638608.\nAnswer: 123470256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*t + 77*t + 16 = 0. Let i be (-62)\/(-16) + -1 + 9\/t. Solve -4*v + 2*k - 2 = 0, 5*k = i*v + k + 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 5 = -4*a - 3*j, 3 = -2*a - 3*j. Suppose -16 = -5*q + 24. Let h = -8 + q. Is h less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 226 - -13?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80 (base 9) to base 5.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 329 + -328. Which is the nearest to -2\/7? (a) x (b) 2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 577\/4 - 575\/4. What is the fourth biggest value in x, -5, -2\/3, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 35 + -1125?\nAnswer: -1080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t - 2*t - 2*t)*(8 - 10 + 2*t - 2)*(2 - 1 - 4).\nAnswer: -12*t**2 + 24*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -120311110 (base 4) in base 6?\nAnswer: -2102524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 - 1)*((21 - 53 - 3)*(3 + 0 + 0) + 4 + 3 - 5)*(4*d**2 + 3*d**4 - 4*d**2) as v*d + q*d**2 + z*d**4 + l*d**3 + w and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/(-117))\/(2\/(-42))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 10*x + 25. Let u be w(12). Sort -0.3, u, 0.01 in descending order.\nAnswer: u, 0.01, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/226 and -13\/6.\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -6*w**2 - 8*w + 1. Let c(o) = 6*o**2 + 9*o - 1. Give -7*b(i) - 6*c(i).\nAnswer: 6*i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and 378.\nAnswer: 378.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + (-1 - -3) - 0) + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 56*y**2 + 54*y - 72. Calculate v(-6).\nAnswer: 1836","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**3 - 86*o**2 - 2*o + 83*o**2 - o**3 in the form b*o**2 + d*o + y + c*o**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18300 is divided by 1220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 156*r - 47. Let b(x) = 52*x - 14. Give 7*b(m) - 2*c(m).\nAnswer: 52*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (42 - 29) + 9 + -63\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -9*l**3 + 22*l**2 - 7*l + 16. Let h(z) = -4*z**3 + 11*z**2 - 3*z + 8. Let s(x) = -3*d(x) + 7*h(x). Is s(11) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11315 (base 7) to base 10\nAnswer: -2903","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 199740 and 479376?\nAnswer: 2396880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15111)\/(-8395) + (2\/6)\/((-156)\/(-54) - 3)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323838573.\nAnswer: 3, 9859, 10949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2021220111 (base 3) to base 2\nAnswer: 1011000001001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -291 - -290. Let d = 4.4 + -4. Which is the closest to 2? (a) m (b) 0.3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, e: 6, a: 3, j: 7}. What is prob of sequence ej?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 + c. Let v(h) = -127241*h + 2. Calculate v(z(l)).\nAnswer: -254482*l**2 - 127241*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-27))\/2*(-60)\/(-40)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/50 of a milligram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.6344 and -14335.\nAnswer: -14335.6344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 2*x**6\/15 + x**5\/2 + x**4\/2 + 23*x + 151. Let g(d) be the first derivative of l(d). Solve g(j) = 0.\nAnswer: -3\/2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -176 + 176. Which is smaller: 1\/321 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/4480 and -91\/12256?\nAnswer: 1715840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 388238 or 388241?\nAnswer: 388241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 37891*k**3*q + 2*k**3*s - 4*k*q + 292*k*s**2 - 2*q*s**2 wrt s?\nAnswer: 2*k**3 + 584*k*s - 4*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -7. Let t be ((-6)\/15)\/((-12)\/y). Which is the third smallest value? (a) t (b) -1 (c) -2\/5 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (-16 + 23 + -8)) + 0 + 4\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*l + 67 = 0, 71*p = 67*p - l + 77. Let -1\/2*q**2 - p*q - 289\/2 = 0. What is q?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3*y + 96000005. Suppose -5*t - 4*p - 24000004 = 0, -3*t - t = p + y. What is t rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37 and 2183.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - ((-12 - -4) + 3)) + -20?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 1 - (-23 - -20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*y = 10*y + 60. Solve 2 = y*p - 2*j, -3 = -2*p - 3*j + 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of v**5\/20 - v**4\/3 - v**3\/6 + v**2 - 204*v - 226. Let t(i) be the first derivative of j(i). Calculate t(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2018329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 - 0.1. Put z, 0.05, 5 in descending order.\nAnswer: 5, z, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8203 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -4018 at most as big as -20087\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(98) + 1 + 5*sqrt(98) + -2)*-3 + 4)*5)**2*4.\nAnswer: -205800*sqrt(2) + 4326700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g. Suppose 23*r - 44 - 2 = 0. Suppose 4*y + 2*j + 4 = 0, r*y + 5*j - 6 = 8. Calculate n(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, w: 1, s: 6, f: 2, o: 8}. Give prob of picking 1 s and 1 o.\nAnswer: 16\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*o - 4*p + p, 3*o + 1 = 5*p. Let i = 1 + 1. Let d = i - 4. Sort -4, d, o.\nAnswer: -4, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 12. Let g be 0 - (-14 + 2) - t. Let j be (18\/g)\/(3\/(-16)). Do -8 and j have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*s**2 - 8405764*s - 1050720.\nAnswer: -4*(s + 262680)*(8*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5077700*v**2 + 1097217 wrt v.\nAnswer: 10155400*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 955632 * 4\nAnswer: 3822528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -8*w - w**3 + w**2 + w + 8*w. Let v be g(0). Solve v = -q - 2 - 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4874861623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51460)\/930 + (-120)\/(-9)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49086 and 676094?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = -3*b + 2*p + 35, 0 = 2*b - p + 10 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48827943 divided by 1?\nAnswer: 48827943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p - 3*p + p - 4*p. Let u(k) = -k**2 + 6*k**2 - 4*k**2. Calculate u(r(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 75 - 69. Let m(j) = 41*j**2 + 2*j - 7. Is m(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3c (base 13) to base 9\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 3*s - 15, 4*k - 5 = s - 0*s. Sort 3, k, -4, -43.\nAnswer: -43, -4, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**2 - 2499*h - 163602 = 0?\nAnswer: -61, 894","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -142*d + 186*d + 1188 for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 5*l + 3*t - 5 = 0, -2*l + 29 = 5*t. Let u = 7890 + -7889.9. Let h = -65 + 257\/4. Which is the second biggest value? (a) l (b) u (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 115001472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 7 = 3. Let i = -3 - a. Suppose 5*l - 3*r - 49 = 0, 3*l + 5*r - 65 = -i*l. What is the remainder when l is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 20. Let y(k) = 7. Let s(r) = -4*w(r) + 11*y(r). Let i be (-2)\/10 + 130\/25. Suppose -n - 5 = 7*x - i*x, 3*x + 3*n = 0. Determine s(x).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*w - 23 + 2, -3 = -w + 4*p. Let u(l) = -l**3 + 17*l**2 - 12*l - 4. What is the tens digit of u(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f**3 - 24*f**2 - 46*f + 62. Let u(j) = 4*j**3 - 25*j**2 - 44*j + 64. Let y(n) = 2*u(n) - 3*w(n). What is y(24)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/1376*-1*11*152\/209.\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 z when two letters picked without replacement from kzhkh?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**0*a)\/(a\/(a*a*a*a**(7\/4)*a)))**(-2\/69))**(2\/37) assuming a is positive.\nAnswer: a**(-1\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -500 divided by 109.\nAnswer: -500\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 4:07 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8091)\/(-54) - (-2)\/12?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = -0*o + 49. Suppose -30 + 177 = o*h. Calculate the remainder when 52 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 200 and 13525.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 i when three letters picked without replacement from {i: 7, z: 2, k: 1}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 1)*(0 + 3 - 4)*(-3 + 0 - 1)*(3*y + y - 6*y)*(y**4 + y**2 - y**2).\nAnswer: 8*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4*v - 2. Let z(t) be the second derivative of t**3\/6 + t**2\/2 + 2*t. Let y(o) = b(o) - 2*z(o). What are the prime factors of y(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 296*r - 7658. Calculate the remainder when c(29) is divided by 63.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - t + 2 = 0, 3*b + t - t - t - 605 = -602 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/185, 32, -0.1, 4, -0.122?\nAnswer: -0.122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-4 - -7) - 6 - (-3 - -9).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 423 - 1364 - 11946 = 0. What is the ten thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**3 - 2. Let i be a(2). Let n = 64 + -36. Calculate the greatest common divisor of i and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -4*m - 2. Suppose 5*r + c = -6 + 40, -32 = -4*r - 2*c. Let u(y) = 7*y. Let w(n) = 2*n. Let g(h) = r*w(h) - u(h). Give g(a(b)).\nAnswer: -20*b - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 2687?\nAnswer: 2687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/30)\/(4 - (-85)\/(-25))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 16) in base 12?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(52) - ((sqrt(208) + -5)**2 + sqrt(13))) + 2.\nAnswer: -228 + 41*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199978 is divided by 89?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 116.275428 rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3447\/(-63) - (-2)\/(-7). Let w = d + 69. Suppose -5*s - 1008 = -w*s. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11244469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 7 - 3, 6*n = -b - 5*n + 8*n + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 9.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -42221573 divided by -2039\nAnswer: 20707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-4 - (-8 - 5))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + 2.1. Let d be (0 - 3)*20\/6. Let h be 8\/3*(-3)\/d. Put 1\/5, t, h in decreasing order.\nAnswer: t, h, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -26, -6?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lw when two letters picked without replacement from bmwlcwwcmwaalw.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66.4 - 151.4. Let j = 89\/2 - 46. Sort j, f, 5\/3 in decreasing order.\nAnswer: 5\/3, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, -3, 0, -4, 6, 3, -1.6 in decreasing order.\nAnswer: 6, 3, 0, -0.07, -1.6, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (40\/12)\/(12\/18). Suppose -2*k - 8 = -4*k. Solve -p + 0 = k, -x = z + p for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*h - 2*h**3 - 8*h + 0*h**3)*(3 - 7 + 2).\nAnswer: 4*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -9.3865518.\nAnswer: 3.75462072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a7a9 - 5?\nAnswer: a7a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of 0*t**4 + 0 + 0*t**6 + 1\/3*t**3 + 1\/42*t**7 + 0*t**5 - t + 0*t**2. Find the second derivative of m(l) wrt l.\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/7 (b) 26 (c) 2344 (d) -0.5 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/s**31*s**(2\/11) assuming s is positive.\nAnswer: s**(-317\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72989529 - 91.0101.\nAnswer: 72989437.9899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -6*c. Let j(o) = 33*o. Give r(j(w)).\nAnswer: -198*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46470*g**4*r - 78*g**3*r + 5*g**2*r - g**2 - g + 80456*r wrt g?\nAnswer: -1115280*g*r - 468*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**3 - 650*i**2 + 4945*i + 20550 = 0. What is i?\nAnswer: -137, -3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 48*t - 24. Let k be i(12). Suppose 180 = 18*p - 17*p + 5*g, 0 = -2*p + 2*g + k. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -298 - -293. Sort y, -0.5, 6.\nAnswer: y, -0.5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of k**3\/6 + 197*k**2\/2 - 48*k. Is n(0) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 0*v - 2*v + v. Let h(a) = -4*a. Let u = 24 - 50. Determine u*s(d) + 6*h(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -8*p - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*n - 2652105 = -2645338 for n.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**3\/3 - 24271*r**2 + 48543*r - 72815\/3 = 0.\nAnswer: -72815, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -3*q**5\/5 - 8*q**4\/3 - 2*q**3 + 4*q**2 + 7*q. Find w, given that r(w) = 0.\nAnswer: -2, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12429 is divided by 2901?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 463523 (base 8) in base 5?\nAnswer: 20020043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (12\/(-22) + (1 - -1))*(474 - 463).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2903894315 a multiple of 593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*u = -252, -2*h + u - 4*u - 130 = 0. Let t = h - -72. Calculate the common denominator of t and (5 - 2)\/(7\/(-21)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 840593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.6 or 82695?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9456 is divided by 473?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15676 divided by -2.\nAnswer: 7838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 10, b: 9}. What is prob of sequence bbb?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a + -89cd?\nAnswer: -89b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.3, 10.8, -2\/9 in ascending order.\nAnswer: -2\/9, 0.3, 4, 10.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-4)*4\/34*17?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 5:36 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 190*v**2 + 285*v + 1122. What is the remainder when t(-4) is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -267 - -259. What are the prime factors of (-3432)\/(-5) - f\/(-20)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1064*j*r**5 - 33*j - 14*r**2 wrt r?\nAnswer: -63840*j*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -8 - 159*k + 317*k - 167*k - k**2 + 0*k**2. Determine l(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/((-144)\/9))\/(10\/100))\/((-50)\/1200)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-5))\/((-20)\/(-50)). Suppose 0 = -2*z - 5*t + 30, t - 21 = -x*z + 17. Is z a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)*-3*-4)\/((sqrt(100)*4)\/sqrt(10)).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5973 + 5973 - 3174*x to the form l*x + q and give l.\nAnswer: -3174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 390, 797, 1230, 1701, 2222, 2805, 3462, 4205?\nAnswer: 5046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 7230 and 7226 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59702*p**3 + 3*p**2 + 31*p + 44?\nAnswer: -358212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 62060 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 780 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 5 + (11 - 8) + 4 + 14\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -707721*c + 1565807 wrt c.\nAnswer: -707721","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 9. Let t(c) = c**2 + 5*c + 1. List the prime factors of t(f).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9139*u + 334299 + 351126 for u.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1*-0.37\nAnswer: 0.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 7*z + 9. Let j(l) = 28*l + 36. Let r(h) = 2*j(h) - 9*x(h). Let v be (12\/(-30))\/((-1)\/(-15)). Is r(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 960 = 959?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 269 - 262 + 2202*z)*(-7 + 3 - 2) to the form u*z + l and give u.\nAnswer: -13212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 3*r - 75. Suppose -5*d = -r - 110. What is the remainder when 51 is divided by d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8824 and 75.2.\nAnswer: 8899.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(48)*-1 + sqrt(48))\/sqrt(4))\/sqrt(6) - (sqrt(968)*-1)**2)*4.\nAnswer: -3872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -188\/15 - -66\/5. Let z = 49.9 - 50. What is the nearest to z in -1, -1\/3, j?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**4 - 890*b**3 - 39285*b**2 + 56960*b + 2534720.\nAnswer: -5*(b - 8)*(b + 8)*(b + 89)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b. Let i(z) = 57*z. Give i(l(u)).\nAnswer: 171*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 + 64902*r**2 + 343238715*r - 84658551300.\nAnswer: 3*(r - 236)*(r + 10935)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11 - -1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1446516 = 11*a + 58*a. What is the ten thousands digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4816?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1355?\nAnswer: 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -162 divided by 27?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/3 + 13450*h\/3 - 519764.\nAnswer: 2*(h - 114)*(h + 6839)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1278\/(-8946) + (-6)\/14*(-29)\/3. Let a(z) = -3*z - z**2 - 3 + 0*z**2 + 0*z**2. Determine a(y).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + 4, b + 6*f - 18 - 12 - 6 + 8 = -0*f for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0112305664 rounded to 3 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 1, -16 in decreasing order.\nAnswer: 22, 1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26062616 to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 810 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, -64, -9?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -33*z**2\/2 + 5*z - 3. Calculate the smallest common multiple of 8 and w(-1).\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g - 5. Let k be p(2). Let t be ((-4)\/(-1) + -1)\/1. Suppose -t*m + 29 = -2*m + k*v, v = m - 49. Which is smaller: 45 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -6*y**2 - 25*y + 161. Let s(t) = t**2 + t - 50. Let i(c) = k(c) + 5*s(c). Determine i(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17690304267.00000119 - -17690304451. Let c = -394 + 210. Let i = c + a. Round i to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -u**2\/2 + 10*u - 2. Let i be k(8). Suppose 0 = -6*v + i*v. Solve -5*s + 2*w = -9, 2*w - 6 = -v*w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 717459 divided by 1\nAnswer: 717459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*r - 2. Suppose -2*k + 3 = -r. Suppose 0 = -h + k*u + 23, -h + 3*u + 26 = -u. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -26 (b) -4 (c) -71285\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 13 - 27. Calculate the smallest common multiple of q and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 190*c**2 - 5*c + 5*c + 84*c**2 + (-5*c + 2*c + 2*c)*(-3*c + 0*c + c) + 2*c**2 - 4*c**2 + 3*c**2.\nAnswer: 277*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95940164?\nAnswer: 2, 31, 41, 113, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(931) + 2 + sqrt(931) + -5)**2 - (sqrt(931) + sqrt(931) + 5*(1 + sqrt(931)) + -4)**2) + 1.\nAnswer: -41891 - 42*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 + -113\/3. Let o be 1 + -1 + (-16)\/8. Let r(y) = 5*y + 4. Let p be r(o). Which is bigger: s or p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 132\/35 - 33689\/70. Let i = q - -469. What is the common denominator of i and (-2)\/5 + 277\/30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 5739381?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -16*t - 12. Let m(f) = 5*f + 4. Let v = 544 - -137. Let r = v - 671. Give r*m(n) + 3*y(n).\nAnswer: 2*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.55? (a) -12 (b) 1.4 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4932+0.3\nAnswer: -4931.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2 + 4 - 2*m**2 - 4 - 2*m + 4*m**2. Let q be 2\/(-3) - 12\/9. What are the prime factors of i(q)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 29 = 2*k + k, -k + 15 = 3*c. Suppose -k = 2*n - 3*n. Suppose -2*q + i = 5*i - 186, -3*q + 300 = -i. What is the highest common divisor of n and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -4 + 0 - 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.75 - 1.05. What is the biggest value in 1\/3, j, 0.2, -0.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b + b**3 - 2 - b**2 - 4*b**2 + 3. Let r = 111 + -109. Let l = r - 0. Determine p(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(189)*1 - sqrt(189))\/sqrt(9) - sqrt(126)\/(sqrt(6)*1))*1)\/(-3*(sqrt(700) + 1*sqrt(700) + sqrt(700)) - (1*sqrt(700) - sqrt(700))*6).\nAnswer: sqrt(3)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -75 - 6142*p**4 + 12272*p**4 - 3*p - 12 - 6132*p**4 to d + c*p**3 + m*p**2 + b*p + r*p**4 and give d.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 734737 and -0.3.\nAnswer: -220421.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 647812 divided by -4\nAnswer: -161953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) 0.07 (c) 12 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 636689\/10 - 63664. Find the common denominator of j and ((-6)\/4)\/((-60)\/(-107)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2755019938 to 5 dps.\nAnswer: -0.2755","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 107\/19, 1\/2, 2\/15, -7, 1, 18\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58473556?\nAnswer: 2, 1553, 9413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2160083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-2*sqrt(2880) + sqrt(2880))*1*-6)\/(sqrt(144)*2 + sqrt(112)\/sqrt(7)).\nAnswer: -36*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 366890 and 25.\nAnswer: 1834450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 7180938940 to the nearest one hundred thousand.\nAnswer: 7180900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -227 - 325. Suppose -3*q + 35 + 9 = 4*k, 0 = 5*q + 2*k - y. What are the prime factors of (-57)\/(-5) + 52\/q + -2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 628*w + 225123. Determine n(-359).\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 496892?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/6889935 and -41\/15880?\nAnswer: 55119480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1466123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1617.99 - 1626. Let w = -0.01 - a. Let x = 5 - w. Put x, -4, 2 in descending order.\nAnswer: 2, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -281704, -281702, -281700, -281698, -281696?\nAnswer: -281694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30263398 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1622 is divided by 538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9558836 * -13.\nAnswer: -124264868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h + 3 - 2387*h**2 + 2400*h**2 - h - 3.\nAnswer: 13*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*k + k**3 + 88*k**2 + 0*k**3 + 3 - 83*k.\nAnswer: k**3 + 88*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 12:20 AM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, a: 8, g: 6, f: 3}. What is prob of sequence vfa?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 + 27. Let v = j + 12.25. Let g = v - 0.15. Which is the closest to g? (a) 0 (b) -5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**4 - 453*b**3 - 22950*b**2 - 397500*b - 375000 = 0. What is b?\nAnswer: -50, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -1)*34\/(-2). Let t = 28 - p. Suppose -4 = -f - s, 4 = f + 2*s - 5*s. Solve 3*w = t + f for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1583?\nAnswer: 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8675 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8405 - -5264. Let w = -136807\/10 + h. What is the common denominator of w and -29\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1559*m*s - 402*m + 16767*s + 94 wrt m.\nAnswer: 1559*s - 402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 79\/4. Let k be 0 + -1 + 12\/16. What is the smallest value in 0.06, k, b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*s**2 - 5*s**2 - 4*s**2)*(-10*s + 13*s + 11*s) + (-4*s + 4*s - s**2)*(-s + 3*s - s) to a*s + q + m*s**2 + y*s**3 and give y.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 49949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2301? (a) 205 (b) 0.2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4030 divide 5482156604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 522958 is divided by 174296?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 1566*y**2 + 203*y - 11700. Let g(k) = 31*k + 2. Give -2*b(d) + 203*g(d).\nAnswer: 29*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 3:05 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 339829 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 11:14 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) 0.2 (c) -0.11 (d) 0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 3. Let d be m + -1 + -2 - (-5 - 0). Differentiate 469*k**3 - 482*k**3 + d + 10 with respect to k.\nAnswer: -39*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 z, 1 j, and 1 e when four letters picked without replacement from zaanaaaajaaeaaaejea?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 - 22. Suppose -3*s - 66 + 14 = 5*p, s - 2*p = -32. What is the remainder when r is divided by (-234)\/s - 2\/(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2346564105 - -4?\nAnswer: -2346564101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*v + 26*v - 59*v.\nAnswer: -14*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -2*i + 1\/4*i**4 + 0 + 2*i**2 + 4\/3*i**3. Determine c, given that l(c) = 0.\nAnswer: -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -23, -22 in decreasing order.\nAnswer: 3, -4, -22, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 160*m**2 + 26. Let q(v) = v**2 + 3. Give q(l(n)).\nAnswer: 25600*n**4 + 8320*n**2 + 679","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -62058, -62049, -62040, -62031?\n\"Answer: 9*f - 62067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-14)\/(-3))\/7*(196 + 2) is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -242.701804 and -1417.\nAnswer: -1659.701804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fg when two letters picked without replacement from {g: 2, f: 4, q: 6}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gdg. Give prob of picking 2 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 448\/21*(-42)\/(-8). Suppose 5*a = 4*a - m. Let c be 108\/a - (-2)\/(-7). Are 0 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -561, 1648, 7627, 19260, 38431, 67024?\n\"Answer: 314*t**3 + t**2 + 8*t - 884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3594, 3502, 3422, 3354, 3298, 3254?\n\"Answer: 6*a**2 - 110*a + 3698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 11) to base 7.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1134 and 172998?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 divided by 57.\nAnswer: -20\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 - 1126000*x - 79242250000.\nAnswer: -4*(x + 140750)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.901048ml in litres?\nAnswer: 0.006901048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 271*i - 16. Is n(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 964.4 - 950.855. What is o rounded to one decimal place?\nAnswer: 13.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 430150 (base 7) to base 13.\nAnswer: 27bbc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 8 = -0*m. Let x = 6 - m. Calculate the greatest common factor of x and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2 + t - 2. Suppose 3*g = 5*g - 14. Let x(d) = -d. Let v be ((-32)\/6 + -13 + 18)*-12. Determine g*c(l) + v*x(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/4 - 11*k**2\/2 - 23*k\/4.\nAnswer: k*(k - 23)*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3605152?\nAnswer: 2, 113, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1.846 times 0.51552\nAnswer: 0.95164992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 802\/123165 or -1?\nAnswer: 802\/123165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 14*g**2 + g - 10. Let m(r) = -4*r - 22. Let i be m(-9). Let p be w(i). Sort -0.1, p, 0.005.\nAnswer: -0.1, 0.005, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19490000 rounded to the nearest one million?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*f + 601 - 91. Calculate the greatest common divisor of 51 and f.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(4\/(-1))*(8\/30)\/(-4)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11b1 + 4?\nAnswer: 11b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 294 and 6046110.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (-1460)\/210)*-7.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**3 - 5*z**3 + 3*z**3)*(-2*z + 6*z - 2*z)*(-11 + 37 + 40).\nAnswer: 132*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -990\/2641 and -1\/22 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.2, 3, 0, 6 in increasing order.\nAnswer: -0.2, 0, 0.3, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-3*5\/15)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9788*j**3 - 4903*j**3 - 4915*j**3.\nAnswer: -30*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.053*-1570.\nAnswer: 83.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-248)\/(-85) + 1\/5 - 3. Which is the closest to 6? (a) -0.1 (b) 2\/5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 549995023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6888?\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {f: 7, b: 7}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 176, 353, 530?\n\"Answer: 177*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 395742?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**32)\/f)\/(f*f*f**(9\/8)) assuming f is positive.\nAnswer: f**(231\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 134*a**5 - 3*a**3 + 2*a - 78. Let g(h) = 133*h**5 - 2*h**3 + 2*h - 77. Let m(x) = 3*g(x) - 2*y(x). Find the second derivative of m(t) wrt t.\nAnswer: 2620*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 3 + 0 - (-11 - -6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1020201 + 1011?\nAnswer: -1013130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87, -260, -489, -774, -1115, -1512?\nAnswer: -1965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68859 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s**4 - 2*s**4 + 5*s**4 + (0 - 1 - 1)*(0*s + 2*s - 3*s)*(s**3 + 3*s**3 - s**3) as n*s**4 + i + l*s + h*s**2 + b*s**3 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 - -54. Suppose 3*y + 4*a - a - n = 0, a - 16 = -2*y. Is y even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5191?\nAnswer: 29, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o - 4*o + 4*o)*(-10*o + 14*o - 25*o) + (0 + 4 - 2)*(-o**2 - 5*o + 5*o) + 2*o**2 - 3*o**2 + 3*o**2 in the form d*o + w*o**2 + h and give w.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 886, 46, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 1\/7, 0.4, 550?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 82.97 from 19363.71785.\nAnswer: 19280.74785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4241, -4225, -4267, -4409, -4693, -5161?\nAnswer: -5855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*r**2 + 26*r**2 + 21*r**2)*(-3*r + 2*r**2 + 3*r) as a*r**2 + h*r**3 + o*r**4 + g*r + f and give o.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 524601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 5:07 AM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 7*p**2 + 5*p - 15. What are the prime factors of n(7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 5 + 6)*(1 - 2*h - 1).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -277 + 630. Is m a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in -0.1, 0.3, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, x: 6, b: 2, m: 8, t: 1}. Give prob of sequence tx.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000001723315 rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 > 823?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 4*l. Let u = 79 - 76. Suppose -u*a + 42 = 33. Let k be x(a). Sort 7\/6, k, 1\/4.\nAnswer: k, 1\/4, 7\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-25))\/(o\/o**(-14)*o))\/(o**(-2))**(1\/8))**(22\/7) assuming o is positive.\nAnswer: o**(-1749\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 36 = -25*h. Solve -h*j - 2*j = -5*d - 5, -45 = 4*j + 5*d for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15582 + 15309 = -39*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 407 + -415. What is the biggest value in 0, 3, 0.5, w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -459, -421, -381, -339, -295, -249?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -25*f**3 + 9*f**2 - 217*f + 7. Let q(l) = 11*l**3 - 4*l**2 + 108*l - 3. Calculate -7*q(s) - 3*r(s).\nAnswer: -2*s**3 + s**2 - 105*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4 + 17*l - 4*l**2 + 3*l**2 - 17*l. What is g(-4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(4\/5))\/c**(-25))**35 assuming c is positive.\nAnswer: c**973","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - w - w + 13910, -2*w - 6970 = -2*f. Suppose 0 = 4*i - 0*i - f. What is i rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(-187) + 8\/(-68).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-200)\/240*(-1)\/(-5). Which is bigger: d or 5\/28?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 7*t + b = -10, -14 = -3*t + 4*b. Differentiate -29*z**2 - 17 + 21 - 97*z**t with respect to z.\nAnswer: -252*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47749236 to the power of 1\/2, to the nearest integer?\nAnswer: 6910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 x when four letters picked without replacement from aaxbbbaaxxxaaeebee.\nAnswer: 4\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37009 = -8*h + 6*h + 5*a, -4*h - 2*a = -74006. Suppose 13*n = 6471 + h. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3384818\/5 = 676965?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -45, -197, -449, -801, -1253, -1805, -2457?\n\"Answer: -50*x**2 - 2*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*m = 29*m + 3356. Let o = -593 - m. What are the prime factors of o?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*(0 + sqrt(2299) + sqrt(2299) + sqrt(2299) + -1 + 3 + 1 + (1*sqrt(2299) - sqrt(2299)) + sqrt(2299) + -5)**2.\nAnswer: -176*sqrt(19) + 36786","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2280848359 to the nearest integer?\nAnswer: 1316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, z: 2, n: 1, c: 4}. What is prob of sequence zza?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.03 + -0.93. Let w = y - 4. Let g = w - -0.9. What is the nearest to g in -1, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*c + 12*c = -2*r + 32*c + 27, -24*c = 4*r + 276 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + sqrt(76)*1*5)\/(sqrt(484) - (sqrt(484) - -2*sqrt(484))).\nAnswer: -3*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5744019182?\nAnswer: 2, 11, 199, 1312019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = r + 3*f, -149 = -4*f - 129 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 7:18 AM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1215 is divided by ((-1224)\/15)\/((-12)\/(-9) - 286\/165)?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1199 to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b (base 14) in base 15?\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 921229960 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: Suppose 5*a + 10 = 75. Let k = 24 - a. Suppose -3*h = -k - 82. What are the prime factors of h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360165113 to the power of 1\/3, to the nearest integer?\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 49433902*o - 686829555 wrt o?\nAnswer: 49433902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = v - 24. Let g = v - 16. Is -1 - 65*(3 + g) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1320 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 7 - 14)*(-2 - 2 + 3)*(-2*n - 4*n + n).\nAnswer: -125*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 259 + -133. Is 28 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591720 to the power of 1\/6, 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 (31 - 30 - (-6 - -2) - 8) + -6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53 + 55. Suppose -c*s - 167 = -49. Let p = 158 + s. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1*sqrt(1210) - sqrt(10))\/(sqrt(18)\/(sqrt(9)*-1)).\nAnswer: -50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6240.81us to nanoseconds.\nAnswer: 6240810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -17*o - 14. Let r be t(-1). Let y(q) = -r*q**3 + 23*q - 20*q - 7*q**2 + 5*q**2. Let s(c) = 6*c**3 + 5*c**2 - 7*c. Give 2*s(n) + 5*y(n).\nAnswer: -3*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2, 4, 3 in ascending order.\nAnswer: -8, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27379067 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = -2*o. Suppose 5*k - w - 45 = 0, o*w - 39 = -3*k + 6. What is the least common multiple of k and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 0.2 (c) -0.45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.062803 meters to kilometers.\nAnswer: 0.004062803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175422 is divided by 25058.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -113*d + 133*d - 156, d = -a + 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1137 + -2?\nAnswer: -1140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b7010 - -3?\nAnswer: -2b7009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n + 2*n + 640. Suppose 0*z - 5*z + n = 0. Calculate the greatest common factor of z and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 10*r = -18*r. Let d(q) be the second derivative of 0 + r*q**3 + 1\/36*q**4 + 2\/15*q**6 - 1\/8*q**5 + 8*q + 0*q**2 - 11\/252*q**7. Factor d(n).\nAnswer: -n**2*(n - 1)**2*(11*n - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1693984 and 0.16.\nAnswer: 271037.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - ((sqrt(3) - sqrt(15)\/sqrt(5)) + -3)) + 0)**2*-2 + -3.\nAnswer: -27 - 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of u**3\/3 + 33*u**2\/2 - 2218*u. What is x(0)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, k: 2, x: 5, d: 7, e: 2}. What is prob of sequence xdd?\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-20)*2)\/(-2*8\/32).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 36*s + 23*s - 131*s + 3*s**2 + 36*s + 43*s. Let c(z) = -2*z**2 - 3*z. Determine 3*b(w) + 5*c(w).\nAnswer: -w**2 + 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 71489, 71264, 71039, 70814, 70589?\n\"Answer: -225*g + 71714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3453 at least 7067?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/30*128\/((-9664)\/(-151)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 211.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 333, 24.\nAnswer: 11, 24, 333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23882*t + 2525203 = -715*t for t.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -34*n**3\/15 + 9*n**2\/5 + 161. Factor r(u).\nAnswer: -2*u*(17*u - 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34407555 a multiple of 1911?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 14*v + 20. Let h be r(15). Suppose -z = -h*s, z - 3*s + 1 = 3. Put 0, z, -0.5, 2\/7 in ascending order.\nAnswer: -0.5, 0, 2\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3078967 and -3078982 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 - 23. Suppose -b + a = 4*j - 1, 0 = 2*j - 3*b + 4. What is the biggest value in j, -0.1, 1\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2*(sqrt(176)*-2*-1 + 1)*4)**2*5.\nAnswer: 1920*sqrt(11) + 225325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (112\/(-12))\/(-1*(-4)\/(-6270)). What is q rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2, -2*a + a = 5*j - 9. Suppose j*q = 4*w - 98, -5*q + 0*q + 31 = 2*w. Let i = 142 - 74. What is the remainder when i is divided by w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 0, 2, -1517, -5 in decreasing order.\nAnswer: 2, 0, -5, -27, -1517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 15 = -27. Let w = s - -6. Suppose 2\/15*o**w + 0 + 4\/15*o**3 + 2\/15*o**2 + 0*o = 0. What is o?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 599*d**3 - 603*d**2 wrt d?\nAnswer: 3594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a day in minutes?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -65 or 0.01798?\nAnswer: 0.01798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.07, 5, 0.5, 8692.\nAnswer: -5, 0.07, 0.5, 5, 8692","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -y - 59, 8 - 36 = -2*d - 4*y. Let w be (-2)\/6*-2*d\/16. What is the third biggest value in 2\/17, -11, w?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 2:45 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/(2\/(-8) - 424\/(-1568)). Let a = 365 - f. Calculate the remainder when 33 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 562928993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 i when two letters picked without replacement from fcfxficcffxssxiscxsf.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 50201832 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*r + 8 = 3*f, -24 = -2*f - 4*r. Let j = f + -5. Solve -4*n + 6*n**4 + 0*n**2 - 2*n**2 - 2*n**2 + 11*n**3 - 9*n**j = 0 for n.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 589711091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -139 - -148. What is the nearest to -1 in -5, 2, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15967.84 to the nearest one hundred.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8822*c + 152 = 8841*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 155*u**2 + 5430*u + 111915. Let a(s) = -11*s**2 - 388*s - 7994. Let x(z) = -85*a(z) - 6*p(z). Factor x(l).\nAnswer: 5*(l + 40)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**2*n**3 + 2*d**2 - 114*d*n**3 - 3*d*n*v - d*n - 43*d*v + 2*n**3*v wrt n?\nAnswer: -12*d**2*n - 684*d*n + 12*n*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -214, -464, -714?\nAnswer: -964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggjgjgjjgjjgj. What is prob of picking 1 j and 2 g?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2001 (base 4) to base 15.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 10 = c. Let o be (48\/10)\/(-4) + (-4)\/c. Sort 0.3, 0.2, o, 0.11 in decreasing order.\nAnswer: 0.3, 0.2, 0.11, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*s = -48. Let g = -21 + s. Solve -n - g*n = 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23948 < 42545?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (121 - 124) + (2 - (-4 - ((-2 - -1) + 2)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4110 - -4217. What is the highest common factor of 1 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/6 + 28*g**2 + 169*g\/6.\nAnswer: -g*(g - 169)*(g + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 17*t**2 - 9. Let j(p) = 12*p**2 + 9*p + 12. Let y(l) = -6*l**2 - 4*l - 5. Let g = -170 - -179. Let h(v) = g*y(v) + 4*j(v). What is -4*b(q) - 11*h(q)?\nAnswer: -2*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6\/11 - -19\/55. Let t = 5\/48 - 131\/336. Which is the closest to 2\/3? (a) j (b) t (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13157 is divided by 97?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1118112 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 10:19 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72, 0.1, 185.9, 3 in decreasing order.\nAnswer: 185.9, 3, 0.1, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 184 - 97. What are the prime factors of v?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39402215 is divided by 237.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -78 - -703\/9. Let a = 34 - 135\/4. Let q = -5 - -9. What is the closest to a in 5, u, q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -496700.\nAnswer: -1\/496700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*p = 6, -22 = 2*z - 3*p - 52. What is the greatest common divisor of z and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246321 at most 246287?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -3*j + 7*j. Let s be (-48)\/j - (-22)\/(-121). Sort s, -3, -1 in decreasing order.\nAnswer: s, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 196 and 36999788.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0 = 3*a + 2, 2*a - 4*t + 4 = 0. Sort 10, 5, a in decreasing order.\nAnswer: 10, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*o - 3*c, -4*o + 4*c - 56 = 10*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1b4665 (base 16) to base 15\nAnswer: 254963","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 6 + -2 - 1. Suppose 30 = 5*a - 0*a. Suppose -2*k - a = -3*v, -4*v + 4*k + 9 = c. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -68 - -174c?\nAnswer: 16d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*d**3 - 14*d**3 - 13*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 5*d + 3*g + 6, d - 2*g - 317 = -295 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9? (a) 5 (b) 1271 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2334.352 - 2346. Let n = t + 0.048. Let l = n - -11.59999911. What is l rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1088 + 1095. Let z = 5 - 1. Solve 2*l = -t - k, -t - z = -5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 60534*u - 5191. Is i(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qgtgttttp. What is prob of sequence ptqg?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, g: 4, i: 3}. What is prob of sequence iigi?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.661845524 to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33389 is divided by 16208.\nAnswer: 973","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -2*r + 7*r. Suppose 6*i = i + r, -j + 22 = -i. What is the highest common factor of 4 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w - 2. Let o(f) = 5*f - 3. Let i(a) = -5*o(a) + 8*y(a). Let l(b) = 4*b + 5. Let r(q) = -5*i(q) - l(q). Let c(s) = -4*s**2. Calculate c(r(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2119064 at least 2119065?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**(-1\/20)*t))\/t)\/(t*t**(-5\/4)*t) assuming t is positive.\nAnswer: t**(-14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 4*a - 316, 5*k = 3*k + 4*a + 152. Suppose -22*z = -9*z - k. Solve 0 = -3*t - z, -4*b = -0*b - 3*t + 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -498 + 3*z**3 - z**3 + 498.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 81 = 86. What is the biggest value in 4, r, 1.4, -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 35511752, 35511754, 35511756?\n\"Answer: 2*a + 35511750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 0*k**2 - 3 - 41*k + 13*k + 6*k + 2*k**2. Calculate a(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 687815850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 456, 423, 376, 309, 216?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1510 divide 27897250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 1376*s**2 + 25*s - 80. Is x(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52995.892492 + -53248.892. Let u = 253 + f. Round u to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 21a?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3749597 is divided by 143.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.4705*-946\nAnswer: -445.093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 359921 - 37606 = 5*q. Let d be q\/49 - 4\/7. Suppose 0 = -12*t + d + 125. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/12 and -145\/126.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -125048*h**4 - 4*h**3 - 2*h**2 - 12*h - 736796 wrt h?\nAnswer: -1500576*h**2 - 24*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -5*q, 3*m = 3*q + 6*m. Let z(u) = -u**3 + 2 + q*u**2 + 4 + 8*u - 3*u**2. Let i be z(-5). Solve 1 - i = 3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25864*t - 9451*t - 17289*t.\nAnswer: -52604*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 46721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -48.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 67659 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: -133 (base 8) to base 15\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}